CSN Quantity Templates: Difference between revisions

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=   '''[[CSDMS_Standard_Names | CSDMS Standard Names]]  — Quantity Templates''' =
=   '''[[CSDMS_Standard_Names | CSDMS Standard Names]]  — Quantity Templates ''' =
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* A CSDMS Standard Name must have an '''''object part''''' and a '''''quantity part''''', with adjectives and modifiers (as prefixes) being used to help avoid ambiguity and identify a specific object and a specific, associated quantity.  This document contains "quantity templates".  For "object templates", see: [[CSN_Object_Templates | '''CSDMS Object Templates''']].
* A CSDMS Standard Name must have an '''''object part''''' and a '''''quantity part''''', with adjectives and modifiers (as prefixes) being used to help avoid ambiguity and identify a specific object and a specific, associated quantity.  This document contains "quantity templates".  For "object templates", see: [[CSN_Object_Templates | '''CSDMS Object Templates''']].
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* The "templates" listed below are not exhaustive, but they do address many commonly needed cases where the pattern may not be obvious. Additional templates will continue to be added over time.
* The "templates" listed below are not exhaustive, but they do address many commonly needed cases where the pattern may not be obvious. Additional templates will continue to be added over time.
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* Each template includes examples and explanatory notes, and many of them make reference to the [http://cf-pcmdi.llnl.gov/documents/cf-standard-names/ CF Standard Names], sometimes using the abbreviation "CF".
* This page used to contain sections with titles like "Attributes of Channels".  All of these sections have been moved to a separate page:  [[CSN_Examples | '''CSDMS Standard Name Examples''']].
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* Each template includes examples and explanatory notes, and many of them make reference to the [http://cfconventions.org/Data/cf-standard-names/27/build/cf-standard-name-table.html CF Standard Names], sometimes using the abbreviation "CF".
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* '''''Quantity''''' seems to be the best word choice here, see [http://en.wikipedia.org/wiki/Quantity Quantity] and [http://en.wikipedia.org/wiki/Physical_quantities Physical quantities]. The word "attribute" is more general and may also be a good choice, but many attributes cannot be measured or quantified with a numerical value that has units. Here we define a '''''quantity''''' as an attribute of an object that has units.  (But including dimensionless units like [m/m].)
* '''''Quantity''''' seems to be the best word choice here, see [http://en.wikipedia.org/wiki/Quantity Quantity] and [http://en.wikipedia.org/wiki/Physical_quantities Physical quantities]. The word "attribute" is more general and may also be a good choice, but many attributes cannot be measured or quantified with a numerical value that has units. Here we define a '''''quantity''''' as an attribute of an object that has units.  (But including dimensionless units like [m/m].)
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* '''''Quantity Suffix Pattern.''''' A "quantity suffix" is a word like "anomaly", "component", "correction", "fraction", "increment", "limit", "magnitude", "offset", "scale", "step" or "threshold" (and in some cases "ratio") that produces a new quantity name from an existing quantity name (e.g. "elevation_increment", "time_step" and "length_scale").  The units are usually unchanged, but "fraction" and "ratio" are exceptions.  While quantity suffixes are a common pattern in describing quantities, CSDMS is moving away from using them in standard names because they can also be expressed (with more flexibility) using an '''''operation prefix'''''.  ( See the [[CSN_Operation_Templates | '''CSDMS Operation Templates''']].) For example, "eastward_velocity_component" can be expressed as "eastward_component_of_velocity".  As an operation prefix, additional adjectives can be applied for clarity (when necessary) without losing parsability, as in "eastward_downward_component_of_shear_stress".  In addition, operations can be composed, as in "x_component_of_gradient_of_elevation", again without losing parsability.
* '''''Quantity Suffix Pattern.''''' A "quantity suffix" is a word like "anomaly", "component", "correction", "fraction", "increment", "limit", "magnitude", "offset", "scale", "step" or "threshold" (and in some cases "ratio") that produces a new quantity name from an existing quantity name (e.g. "elevation_increment", "time_step" and "length_scale").  The units are usually unchanged, but "fraction" and "ratio" are exceptions.  While quantity suffixes are a common pattern in describing quantities, CSDMS is moving away from using them in standard names because they can also be expressed (with more flexibility) using an '''''operation prefix'''''.  ( See the [[CSN_Operation_Templates | '''CSDMS Operation Templates''']].) For example, "east_velocity_component" can be expressed as "east_component_of_velocity".  As an operation prefix, additional adjectives can be applied for clarity (when necessary) without losing parsability, as in "east_down_component_of_shear_stress".  In addition, operations can be composed, as in "x_component_of_gradient_of_elevation", again without losing parsability.
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* '''''Operation_name + Quantity Pattern'''''.  An optional operation name can be added in front of a quantity name to create a new quantity name that often has different units.  See:  [[CSN_Operation_Templates | '''CSDMS Operation Templates''']].
* '''''Operation_name + Quantity Pattern'''''.  An optional operation name can be added in front of a quantity name to create a new quantity name that often has different units.  See:  [[CSN_Operation_Templates | '''CSDMS Operation Templates''']].
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  visible_light_in_air + speed      ## (possibly; See the Constants in Physics template.)
  visible_light_in_air + speed      ## (possibly; See the Constants in Physics template.)
  water_vapor_in_air + dew_point_temperature
  water_vapor_in_air + dew_point_temperature
  water_in_atmosphere + precipitation_rate
  water_in_atmosphere + precipitation_leq-volume_flux


:However, using this pattern causes related quantities to become alphabetically separated, like "clay_in_soil" + "volume_fraction" and "sand_in_soil" + "volume_fraction". For this reason, CSDMS is moving toward expressing the "in" relationship through object nesting (as used in the Part of Another Object Pattern).  The examples listed above then become:
:However, using this pattern causes related quantities to become alphabetically separated, like "clay_in_soil" + "volume_fraction" and "sand_in_soil" + "volume_fraction". For this reason, CSDMS is moving toward expressing the "in" relationship through object nesting (as used in the Part of Another Object Pattern).  The examples listed above then become:


  air_helium_plume__richardson_number
  air_helium-plume__richardson_number
  air_visible-light__speed  ## (possibly)
  air_radiation~visible__speed
  atmosphere_carbon-dioxide__partial_pressure
  atmosphere_air_carbon-dioxide__partial_pressure
  atmosphere_carbon-dioxide__relative_saturation
  atmosphere_air_carbon-dioxide__relative_saturation
  atmosphere_water__dew_point_temperature
  atmosphere_air_water~vapor__dew_point_temperature
  atmosphere_water__precipitation_rate
  atmosphere_water__precipitation_leq-volume_flux
  soil_clay__volume_fraction
  soil_clay__volume_fraction
  soil_sand__volume_fraction
  soil_sand__volume_fraction
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:As of 7/23/14, hyphens are used in certain contexts to bundle multiple words that are part of a single concept or object, such as "carbon-dioxide".  This allows the object part of a name to be parsed (on underscores) into its component parts.  For example, "atmosphere_carbon-dioxide" can be parsed into "atmosphere" and "carbon-dioxide".  Without the hyphen, "carbon" and "dioxide" would be identified as two separate objects, with "dioxide' contained in (or a part of) "carbon".
:As of 7/23/14, hyphens are used in certain contexts to bundle multiple words that are part of a single concept or object, such as "carbon-dioxide".  This allows the object part of a name to be parsed (on underscores) into its component parts.  For example, "atmosphere_carbon-dioxide" can be parsed into "atmosphere" and "carbon-dioxide".  Without the hyphen, "carbon" and "dioxide" would be identified as two separate objects, with "dioxide' contained in (or a part of) "carbon".
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:Note that bubble_point_temperature, dew_point_temperature and frost_point_temperature also require one substance within another, as in: air_water-vapor__dew_point_temperature. See the Temperature template.
:Note that bubble_point_temperature, dew_point_temperature and frost_point_temperature also require one substance within another, as in: air_water~vapor__dew_point_temperature. See the Temperature template.
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* '''''Saturated Quantity Rule'''''.  When using the '''Object-in-object Quantity Pattern''' there are several quantities that refer to a system that is saturated or "at saturation".  In these cases the word "saturated" is inserted in front of the quantity name to define a new quantity.  Examples include:
* '''''Saturated Quantity Rule'''''.  When using the '''Object-in-object Quantity Pattern''' there are several quantities that refer to a system that is saturated or "at saturation".  In these cases the word "saturated" is inserted in front of the quantity name to define a new quantity.  Examples include:
  air_water-vapor__saturated_partial_pressure
  air_water~vapor__saturated_partial_pressure
  soil_water__saturated_hydraulic_conductivity
  soil_water__saturated_hydraulic_conductivity
  soil_water__saturated_volume_fraction    (i.e. water content)
  soil_water__saturated_volume_fraction    (i.e. water content)
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* '''''Object-on-Object Quantity Pattern'''''. Some quantities require 2 objects/substances to be specified where one is "on" or in contact with the other.  Examples often involve friction.  In such cases we use the reserved word "_on_" and the pattern:  object = (object + "_on_" + object), as in:
* '''''Object-on-Object Quantity Pattern'''''. Some quantities require 2 objects/substances to be specified where one is "on" or in contact with the other.  Examples often involve friction.  In such cases we use the reserved word "_on_" and the pattern:  object = (object + "_on_" + object), as in:


  concrete_on_rubber__kinetic_friction_coefficient
  concrete_rubber__kinetic_friction_coefficient
  pavement_on_rubber__static_friction_coefficient
  pavement_rubber__static_friction_coefficient
    
    
  '''Note:''' Maybe "_and_"or "_to_" would be better than "_on_" here.  We should also list
  '''Note:''' Maybe "-and-"or "-to-" would be better than "_on_" here.  We should also list
  the two object names in alphabetical order to avoid two names for the same thing.
  the two object names in alphabetical order to avoid two names for the same thing.
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* '''''Object-to-Object Quantity Pattern'''''. When the quantity refers to a relationship between two objects, we use the reserved word "_to_" and the pattern: (object + "_to_" + object + quantity).  The reserved word "_to_" can also be used for ratios.  See the Ratio template. Examples include:
* '''''Object-to-Object Quantity Pattern'''''. When the quantity refers to a relationship between two objects, we use the reserved word "-to-" and the pattern: (object + "-to-" + object + quantity).  The reserved word "-to-" can also be used for ratios.  See the Ratio template. Examples include:


  brain_to_body__mass_ratio
  bear_brain-to-body__mass_ratio
  earth_to_mars__travel_time
  earth-to-mars__travel_time
  earth_to_sun__mean_distance
  earth-to-sun__mean_distance
    
    
  carbon_to_hydrogen__bond_length
: When two objects are required to define a quantity, the last 2 objects in the object part of the name are often used, as in:
  hydrogen_to_oxygen__bond_energy (See: [http://www.wiredchemist.com/chemistry/data/bond_energies_lengths.html Table of bond energies].)
 
  carbon_hydrogen__bond_length
  hydrogen_oxygen__bond_energy (See: [http://www.wiredchemist.com/chemistry/data/bond_energies_lengths.html Table of bond energies].)


: In the last two examples, we put the two object names in alphabetical order to avoid two standard names for the same thing.
: In the last two examples, we put the two object names in alphabetical order to avoid two standard names for the same thing.
:  
:  
:We may also be able to use this pattern in constructions like:  "land_subsurface_to_surface_water + seepage_rate", or "land_subsurface_water_to_surface + seepage_rate" or "ground_water_to_surface_water + seepage_rate" or "land_subsurface_to_land_surface_water + seepage_rate".
:We may also be able to use this pattern in constructions like:  "land_subsurface-to-surface_water + seepage_rate", or "land_subsurface_water-to-surface + seepage_rate" or "ground_water-to-surface_water + seepage_rate" or "land_subsurface-to-land_surface_water + seepage_rate".
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* '''''Object-or-Object Quantity Pattern'''''.  In some cases, a quantity may apply to either of two alternate objects, as in:
* '''''Object-or-Object Quantity Pattern'''''.  In some cases, a quantity may apply to either of two alternate objects, as in:


  land_or_sea_surface__net_shortwave_radiation_flux
  land-or-sea_surface_radiation~incoming~shortwave__energy_flux


* '''''Quantity-to-Quantity Pattern'''''.  Although similar to the Object-to-object Quantity Pattern, this pattern is used when two quantities (measured on the same object) are needed to define a new quantity as in:
* '''''Quantity-to-Quantity Pattern'''''.  Although similar to the Object-to-object Quantity Pattern, this pattern is used when two quantities (measured on the same object) are needed to define a new quantity as in:


  channel_cross-section__width_to_depth_ratio
  channel_x-section__width-to-depth_ratio
  electron__charge_to_mass_ratio   [http://en.wikipedia.org/wiki/Charge_to_mass_ratio charge to mass ratio]
  electron__charge-to-mass_ratio   [http://en.wikipedia.org/wiki/Charge-to-mass_ratio charge to mass ratio]
  electron__mass_to_charge_ratio
  electron__mass-to-charge_ratio
watershed_outlet__bankfull-width_to_depth_ratio
watershed_outlet_water__width_to_depth_ratio


:Note that "hydraulic radius" is a valid quantity name, but could also be expressed as "channel_cross-section" + "wetted-area_to_perimeter_ratio".
:Note that "hydraulic radius" is a valid quantity name, but could also be expressed as "channel_x-section" + "wetted-area-to-perimeter_ratio".
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* '''''Short Quantity Name Synonyms'''''.  There are several terms that may provide a "short name" or synonym for another quantity, such as:
* '''''Short Quantity Name Synonyms'''''.  There are several terms that may provide a "short name" or synonym for another quantity, such as:


  aspect    = azimuth_angle_of_opposite_of_gradient_of_elevation   (relative to a fixed axis)
  aspect    = azimuth_angle_of_antigradient_of_elevation   (relative to a fixed axis)
  density    = mass_to_volume_ratio   (but density sometimes has other meanings; use "mass_density" ??)
  density    = mass-to-volume_ratio   (but density sometimes has other meanings; use "mass_density" ??)
  discharge  = outgoing_volume_flow_rate
  discharge  = water~outgoing + volume_flow_rate
  slope      = magnitude_of_gradient_of_elevation
  slope      = magnitude_of_gradient_of_elevation
  speed      = magnitude_of_velocity  (or even "motion_rate"; process_name + quantity)
  speed      = magnitude_of_velocity  (or even "motion_rate"; process_name + quantity)
:
:
* '''''Incoming and Outgoing Quantity Rule'''''.  Fluxes, flows and vector quantities may either enter or exit a given object (viewed as a control volume).  In these cases, it is therefore necessary to distinguish between "incoming" or "outgoing" quantities.  As of 7/23/14, "incoming" and "outgoing" are used as standard adjectives in such cases, even though it is also possible to use the Process Name + Quantity Pattern and then choose a process name that indicates whether the quantity is "incoming" or "outgoing".  Examples include:
* '''''Incoming and Outgoing Quantity Rule'''''.  Fluxes, flows and vector quantities may either enter or exit a given object (viewed as a control volume).  In these cases, it is therefore necessary to distinguish between "incoming" or "outgoing".  As of 7/23/14, "incoming" and "outgoing" are used as standard adjectives in such cases, even though it is also possible to use the Process Name + Quantity Pattern and then choose a process name that indicates whether the quantity is "incoming" or "outgoing".  As of 8/16/14, the adjectives "incoming" and "outgoing" (with hyphens) may be applied to the transported substance in the object part of the name. Examples include:


  atmosphere_top-surface__outgoing_longwave_radiation_flux
  atmosphere_top_surface_radiation~incoming~longwave__energy_flux
  atmosphere_top-surface__incoming_shortwave_radiation_flux
  atmosphere_top_surface_radiation~incoming~shortwave__energy_flux
  lake_water__incoming_volume_flow_rate
  lake_water~incoming__volume_flow_rate
  lake_water__outgoing_volume_flow_rate
  lake_water~outgoing__volume_flow_rate
land_surface__net_longwave_radiation_flux  (net = incoming - outgoing)
  model_grid_cell_water~incoming__volume_flow_rate
  model_grid_cell_water__incoming_volume_flow_rate
  model_grid_cell_water~outgoing__volume_flow_rate
  model_grid_cell_water__outgoing_volume_flow_rate
:
:
:Recall that "discharge" is a short synonym for "outgoing_volume_flow_rate". (The word "discharge" connotes an "outflow".)  Note that "inflow" and "outflow" are valid process names.  See the Discharge template.
:Recall that "discharge" is a short synonym for "outgoing_volume_flow_rate". (The word "discharge" connotes an "outflow".)  Note that "inflow" and "outflow" are valid process names.  See the Discharge template.
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== {{ Bar Heading| text=Absorptance}} ==
&nbsp; base_quantity = "absorptance" <br/>
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; "spectral_absorptance"
&nbsp; ''Examples''
atmosphere_air_radiation~incoming~longwave__absorptance
* Absorptance (also called "absorptivity" and "absorption factor") is the dimensionless ratio of the radiation intensity absorbed by something to the original, incident radiation intensity.  It is a number between 0 and 1.
:
* Absorptance + Reflectance + Transmittance = 1.  See Reflectance and Transmittance below.
:
* Various authors recommend using the terms: Absorptivity, Emissivity, Reflectivity and Transmissivity as properties of a pure material and Absorptance, Emittance, Reflectance and Transmittance as the analogous terms for the characteristics of a specimen or sample.  See: Palmer, J.M. (1994) Chapter 25: The measurement of transmission, absorption, emission and reflection, Handbook of Optics, 2nd ed., Part II, M. Bass, editor, McGraw-Hill, NY.  (A PDF file is available [http://photonics.intec.ugent.be/education/ivpv/res_handbook/v2ch25.pdf '''here'''].)
:
* At a given wavelength, absorptance = emittance.
:
* The quantity "spectral absorptance" is the absorptance associated with a specific wavelength.
:
* The term '''absorbance''', although similar, is a different quantity that involves a log function.
:
* See: [http://en.wikipedia.org/wiki/Absorbance Absorbance], [http://en.wikipedia.org/wiki/Attenuation_coefficient Attenuation coefficient], [http://en.wikipedia.org/wiki/Beer–Lambert_law Beer-Lambert law], [http://en.wikipedia.org/wiki/Mass_attenuation_coefficient Mass attenuation coefficient], [http://en.wikipedia.org/wiki/Opacity_(optics) Opacity (optics)], [http://en.wikipedia.org/wiki/Reflectivity Reflectance] and [http://en.wikipedia.org/wiki/Transmittance Transmittance].
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== {{ Bar Heading| text=Affinity}} ==
== {{ Bar Heading| text=Affinity}} ==


&nbsp; base_quantity = "affinity" <br/>
&nbsp; base_quantity = "affinity" <br/>
&nbsp; quantity = "chemical_affinity" <br/>
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; quantity = "electron_affinity"    (of an atom or molecule)
&nbsp; "chemical_affinity" <br/>
&nbsp; "electron_affinity"    (of an atom or molecule)


&nbsp; ''Examples''
&nbsp; ''Examples''
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== {{ Bar Heading| text=Altitude}} ==
== {{ Bar Heading| text=Age}} ==


&nbsp; base_quantity = "altitude"
&nbsp; base_quantity = "age" <br/>
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; "deposition_age"


&nbsp; ''Examples''
&nbsp; ''Examples''
  airplane__altitude
  sea_bottom_sediment__deposition_age
skydiver__altitude


* The word "altitude" is reserved for objects that are above and not in contact with the land surface. (e.g. aircraft, air parcel, balloon) See the Elevation templateBy contrast, "altitude" is used as a synonym for "elevation" in the CF Standard Names.
* The quantity '''age''' indicates the elapsed time since something was first formed or created, whether it be sea ice, a person or a sediment depositIt has units of time.
:
* Note that "deposition_age" follows the Process Name + Base Quantity Name Pattern.
:
:
* The standard term "equilibrium line altitude" (ELA) is discussed in the Attributes of Glaciers template.
* See Duration and Time.


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== {{ Bar Heading| text=Angle}} ==
== {{ Bar Heading| text=Albedo}} ==


&nbsp; base_quantity = "angle"
&nbsp; base_quantity = "albedo" <br/>
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; "black-sky_albedo" <br/>
&nbsp; "blue-sky_albedo" <br/>
&nbsp; "bond_albedo" <br/>
&nbsp; "geometric_albedo" <br/>
&nbsp; "visual_geometric_albedo" <br/>
&nbsp; "white-sky_albedo"


&nbsp; ''Examples''
&nbsp; ''Examples''
  azimuth_angle, bank_angle, bond_angle, camber_angle, caster_angle, declination_angle,
  earth__bond_albedo
  flaring_angle, friction_angle, incidence_angle, inclination_angle,  pitch_angle, polarization_angle,
  land_surface__albedo
rake_angle, repose_angle, roll_angle, rotation_angle, scattering_angle, shock_angle, slope_angle,
spreading_angle, tilt_angle, torsion_angle, yaw_angle, zenith_angle


* There are two major conventions used for measuring angles.  For '''bearings''', the angle is usually measured '''''clockwise from north''''', and this typically includes wind data.  (We also need to clarify whether the wind is blowing "to" or "from" that direction.)  Most other angles are measured the way you learned in high school, '''''counterclockwise from the x-axis''''' (or from the east).  It is therefore important to specify the convention that is usedThis can be done by including the appropriate <assume> tag in a model's Model Metadata File, chosen from the standardized assumption names on the [[CSN_Assumption_Names | '''CSDMS Assumption Names''']] page.  A smart framework would be able to convert between these two conventions, when necessary, after examining these <assume> tags.  '''Note:''' We could also introduce "bearing" as another base quantity so that the metadata wouldn't be necessary.
* Albedo (also called "reflection coefficient") is the ratio of the power per unit area [W m-2] of electromagnetic radiation '''''reflected''''' by a surface to the original, '''''incident''''' power per unit area (or irradiance).  It is a dimensionless number between 0 (for a perfectly black surface) and 1 (for a perfectly white surface)The word albedo comes from the Latin word for "whiteness".
:
:
* A '''bearing''' (to an observed object) can also be specified relative to the direction of travel of a vehicle (e.g. truck, ship or airplane) instead of relative to northSee: [http://en.wikipedia.org/wiki/Bearing_(navigation) Bearing (navigation)].
* '''Reflectance''' is a very closely related concept but there does not appear to be a universally accepted distinction between albedo and reflectance.  Some authors take them to be equivalent, others use albedo for an average over shortwave radiation and reflectance as a function of wavelength, others describe albedo as either "diffuse reflectance" or "broadband reflectance" etc.. Dingman (2002) in his book Physical Hydrology defines albedo as the average of reflectance over visible wavelengthsThis ambiguity was already recognized in a 1917 paper by Louis Bell. There have been recent efforts by Schaepman-Strub (2006) and others to standardize the terminology in descriptions of satellite surface albedo products.  See Reflectance below.
:
:
* Note that "earth_axis__tilt_angle" uses the object name "earth_axis" to refer to a "part" of the Earth ('''Part of Another Object Pattern''') and the quantity name "tilt_angle" follows the '''Process_name + Quantity Pattern'''.  We use "tilt" vs. "tilting" as allowed by one of the Basic Rules. We use "earth_axis__tilt_angle" vs. "earth" + "axial_tilt_angle" in accordance with the '''Object vs. Adjective Rule'''.
* There is an important distinction between [http://en.wikipedia.org/wiki/Bond_albedo '''Bond albedo'''] and [http://en.wikipedia.org/wiki/Geometric_albedo '''Geometric albedo'''], and a formula relating the twoBond albedos are strictly between 0 and 1 while geometric albedos can be greater than 1. (Enceladus, a large moon of Saturn, reportedly has a bond albedo of 0.99 and a visual geometric albedo of 1.4.)  Bond albedo takes all wavelengths and phase angles of electromagnetic radiation into account.
:
:
* A few terms sound strange in this form, like "repose_angle", instead of "angle_of_repose".  But this doesn't pose any real problem.
* To more accurately characterize the scattering properties of a surface, a [http://en.wikipedia.org/wiki/Bidirectional_reflectance_distribution_function Bidirectional Reflectance Distribution Function] (BRDF) is often used.  The integral of the BRDF over all viewing angles is called the [http://en.wikipedia.org/wiki/Directional-hemispherical_reflectance Directional-hemispherical reflectance] (DHR) or "black-sky albedo". There are two types of [http://en.wikipedia.org/wiki/Bi-hemispherical_reflectance Bi-hemispherical reflectance] (BHR).    The first is often called "blue-sky albedo" (or "actual albedo")The second -- often called "white-sky albedo" -- is the BHR under isotropic diffuse irradiance conditions (i.e. reflectance when there is only diffuse and no direct illumination, denoted as BHRiso).  For many applications it is possible to approximate the albedo at a particular solar zenith angle as a linear combination of DHR (or black-sky albedo) and BHRiso (or white-sky albedo).  The contribution from each is determined by D, the proportion of diffuse illumination.  See: [http://en.wikipedia.org/wiki/Albedo#White-sky-and-black-sky_albedo White-sky and black-sky albedo].
:
:
* Many of these follow the '''Process_name + Quantity Pattern'''.
* A '''Lambertian surface''' is an idealized model.  In this sense it is similar to "black body", "channel centerline", "earth ellipsoid" or "mean-sea-level datum".
:
:
* CSDMS standard names use "aspect_angle" vs. "aspect" for clarity since we distinguish between "slope" and "slope_angle".
* See: [http://en.wikipedia.org/wiki/Albedo Albedo], [http://hyperphysics.phy-astr.gsu.edu/hbase/phyopt/albedo.html Albedo discussion], [http://en.wikipedia.org/wiki/Bidirectional_reflectance_distribution_function Bidirectional Reflectance Distribution Function] (BRDF), [http://en.wikipedia.org/wiki/Bond_albedo Bond albedo], [http://en.wikipedia.org/wiki/Geometric_albedo Geometric albedo], [http://en.wikipedia.org/wiki/Irradiance Irradiance], [http://en.wikipedia.org/wiki/Lambert%27s_cosine_law Lambert's cosine law], [http://en.wikipedia.org/wiki/Lambertian_reflectance Lambertian reflectance] and [http://en.wikipedia.org/wiki/Reflectivity Reflectance].
 
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== {{ Bar Heading| text=Altitude}} ==
 
&nbsp; base_quantity = "altitude"
 
&nbsp; ''Examples''
airplane__altitude
balloon__altitude
projectile__altitude
skydiver__altitude
submarine_above-seafloor__altitude  (need "seafloor" vs. "bottom" for clarity here)
 
* There is a subtle but important difference between the quantities "altitude" and "elevation".  The word '''altitude''' refers to the distance of an object (e.g. aircraft, air parcel or balloon) above the ground, regardless of the local elevation of the land surface.  The word '''elevation''' refers to the distance of an object (typically a land surface) above a datum, such as the mean sea level datum.  Elevation is one of the three Geographic coordinates used to specify a 3D location (i.e. elevation, latitude and longitude).
:
* A skydiver or aircraft pilot is interested in knowing their height above the ground, locally, especially with regard to landing.  Barometric altimeters (or pressure altimeters) measure the distance above mean sea level (so elevation), but may then be corrected using a QFE setting so that they display an altitude of zero for a given airfield (regardless of its elevation above sea level).  Radar and laser altimeters measure the height above the ground directly by measuring the time it takes for a signal to reflect from the land surface and return to the aircraft.
:
:
* The local azimuth and zenith angles that can be associated with a 2D or 3D vector field are treated as operations.  See the [[CSN_Operation_Templates | '''CSDMS Operation Templates''']] for more information.
* The standard sport skydiving altitude is 12,500 feet AGL (Above Ground Level); sometimes up to 18,000 feet AGL.
:
:
* bank_angle is related to banking (e.g. aircraft) in turns but may also be used in the context of channel banks.  The object part of the name allows the same quantity name to be used in different contexts.
* Can we also use "altitude" for the height of an object (e.g. particle, submarine) above the sea floor (i.e. height above seafloor)?  Do we need an extra adjective, like "bathymetric_altitude" or "above-bottom_altitude" ?  We could also use something like "particle-to-bottom" + "distance" or just "particle_bottom_distance".  The current approach is to use "above-bottom" as a "place" or "part", in the '''object part''' of the name.
:
:
* In the context of wheeled vehicles, several angles are used such as: [http://en.wikipedia.org/wiki/Camber_angle Camber angle] and [http://en.wikipedia.org/wiki/Caster_angle Caster angle] (or Rake angle).
* The standard term "equilibrium line altitude" (ELA) is discussed in the Attributes of Glaciers template.
:
:
* Three [http://en.wikipedia.org/wiki/Euler_angles Euler angles] can be used to describe the orientation of a rigid body, but different conventions are used.  These would have some adjective(s) inserted before "euler_angle".
* Note that in the CF Standard Names, "altitude" is used as a synonym for "elevation".
:
:
* See: [http://en.wikipedia.org/wiki/Flare_(ship) Flaring angle.]. It refers to an angle measured from the vertical or main axis. The verb "flare" means to gradually become wider. (e.g. bell-bottom pants)  The term "spreading_angle" is very similar.
* See: [http://en.wikipedia.org/wiki/Altitude_above_ground_level Altitude above ground level], [http://en.wikipedia.org/wiki/Elevation Elevation], [http://en.wikipedia.org/wiki/Height_above_average_terrain Height above average terrain] (HAAT), [http://en.wikipedia.org/wiki/Lowest_safe_altitude Lowest safe altitude] and [http://en.wikipedia.org/wiki/Sea_level Mean sea level].
:
:
* See: [http://en.wikipedia.org/wiki/Aspect_(geography) Aspect (geography)], [http://en.wikipedia.org/wiki/Orbital_inclination Orbital inclination] and [http://en.wikipedia.org/wiki/Slope Slope].
* See the Elevation template.


<br/>
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== {{ Bar Heading| text=Anomaly}} ==
== {{ Bar Heading| text=Amplitude}} ==


&nbsp; operation_prefix = "anomaly_of"
&nbsp; base_quantity = "amplitude"


&nbsp; ''Examples''
&nbsp; ''Examples''
  air__anomaly_of_pressure
  sea_surface_water_wave__amplitude    # wave~gravity
  air__anomaly_of_temperature
  wave~airy__amplitude
  sea_surface__anomaly_of_temperature
  wave~cnoidal__amplitude
 
wave~electromagnetic__amplitude
* Before 3/19/13 this was treated as a '''quantity suffix''', but now it is treated as an "operation prefix". It does not change the units.  See Component, Increment and Magnitude.
  wave~seismic__amplitude
:
  wave~stokes__amplitude
* Means the "difference from climatology" in CF Standard Names.  The "mean climatology" used as a reference should be specified in the Model Metadata File with an <assume> tag. See Reference Quantities.
:
* The word "anomaly" is used in 4 CF Standard Names, namely:


air_pressure_anomaly
* "Amplitude" is a basic property of a periodic function or waveform, along with wavelength and wavenumber.
air_temperature_anomaly
geopotential_height_anomaly
surface_temperature_anomaly


<br/>
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== {{ Bar Heading| text=Area}} ==
== {{ Bar Heading| text=Angle}} ==


&nbsp; base_quantity = "area" <br/>
&nbsp; base_quantity = "angle"
&nbsp; quantity = "drainage_area" <br/>
&nbsp; quantity = "surface_area"


&nbsp; ''Examples''
&nbsp; ''Examples''
  channel_cross-section__area
  azimuth_angle, bank_angle, bond_angle, camber_angle, caster_angle, declination_angle, depression_angle, dihedral_angle,
  channel_cross-section__wetted_area
  elevation_angle, exterior_angle, flare_angle, friction_angle, incidence_angle, inclination_angle, look_angle, nadir_angle,
  glacier_surface__area
  phase_angle, pitch_angle, polarization_angle, rake_angle, repose_angle, roll_angle, rotation_angle, scattering_angle,
  lake_surface__area
  shock_angle, slope_angle, solid_angle, spreading_angle, tilt_angle, torsion_angle, vertex_angle,
  sphere_surface__area
  yaw_angle, zenith_angle
  watershed__area
 
 
* The local  [http://en.wikipedia.org/wiki/Azimuth '''azimuth angle'''], [http://en.wikipedia.org/wiki/Zenith '''zenith angle'''], and '''elevation angle''' (the complement of the zenith angle, less often called "altitude angle") that can be associated with a 2D or 3D vector field are treated as operations in the CSDMS Standard Names. See the [[CSN_Operation_Templates | '''CSDMS Operation Templates''']] for more information.
* This quantity can be defined for any polygon and has units of length squared.
:
* There are two major conventions used for measuring angles.  For '''bearings''', the angle is usually measured '''''clockwise from north''''', and this typically includes wind data.  (We also need to clarify whether the wind is blowing "to" or "from" that direction.)  Most other angles are measured the way you learned in high school, '''''counterclockwise from the x-axis''''' (or from the east).  It is therefore important to specify the convention that is used.  This can be done by including the appropriate <assume> tag in a model's Model Metadata File, chosen from the standardized assumption names on the [[CSN_Assumption_Names | '''CSDMS Assumption Names''']] page.  A smart framework would be able to convert between these two conventions, when necessary, after examining these <assume> tags.  '''Note:''' We could also introduce "bearing" as another base quantity so that the metadata wouldn't be necessary.
:
* A '''bearing''' (to an observed object) can also be specified relative to the direction of travel of a vehicle (e.g. truck, ship or airplane) instead of relative to north.  See: [http://en.wikipedia.org/wiki/Bearing_(navigation) Bearing (navigation)].
:
* A '''heading''' is the direction (usually given as a bearing) in which an object, such as a ship or airplane, is traveling.  It is related to the '''course''' and '''track angle''';  see: [http://en.wikipedia.org/wiki/Course_(navigation) Course (navigation)].
:
* Note that "earth_axis" + "tilt_angle" uses the object name "earth_axis" to refer to a "part" of the Earth ('''Part of Another Object Pattern''') and the quantity name "tilt_angle" follows the '''Process_name + Quantity Pattern'''.  We use "tilt" vs. "tilting" as allowed by one of the Basic Rules. We use "earth_axis__tilt_angle" vs. "earth" + "axial_tilt_angle" in accordance with the '''Object vs. Adjective Rule'''.
:
* In the context of a satellite or airplane viewing the Earth's surface, the terms '''look angle''' and '''nadir angle''' are used to indicate the angle between straight down from the satellite (i.e. the nadir direction) and the ray that points from the satellite to a location on the Earth's surface.  The complement of the "look angle" is often called the '''depression angle'''.  The term "off-nadir angle" would be more descriptive but is not as widely used.  "Zenith angle" and "elevation angle" are also complementary angles, typically used for a viewer on Earth's surface looking up at an object in the sky (e.g. the sun or a planet).  '''Note''': The terms "view angle" or [http://en.wikipedia.org/wiki/Viewing_angle "viewing angle"] should not be used in this context because they have other, more common meanings related to a camera's "angle of view" or the angles from which a TV or monitor are being viewed.
:
* In the CSDMS Standard Names, the quantities "azimuth_angle_of_position_vector", "elevation_angle_of_position_vector" and "zenith_angle_of_position_vector" are used for an object viewed from the Earth's surface (e.g. satellite), while "azimuth_angle_of_look_vector", "depression_angle_of_look_vector", "nadir_angle_of_look_vector" are used for objects on the Earth's surface viewed from above (e.g. a satellite). 
:
* The quantity [http://en.wikipedia.org/wiki/Angle_of_repose '''angle_of_repose'''] is called "repose_angle" in the CSDMS Standard Names.  This may sound a bit strange when spoken, but this is outweighed by the benefits of following a standardized pattern.
:
* Many of these follow the '''Process_name + Quantity Pattern'''.
:
* CSDMS standard names use "aspect_angle" vs. "aspect" for clarity since we distinguish between "slope" and "slope_angle".
:
* bank_angle is related to banking (e.g. aircraft) in turns but may also be used in the context of channel banks.  The object part of the name allows the same quantity name to be used in different contexts.
:
:
* The quantity "surface_area" can be defined for a surface that lies above some planar domain. However, this is usually not what is meant by the term "area". For CSDMS Standard Names, use "surface_area" for this situation and "area" otherwise.  
* In the context of wheeled vehicles, several angles are used such as: [http://en.wikipedia.org/wiki/Camber_angle Camber angle] and [http://en.wikipedia.org/wiki/Caster_angle Caster angle] (or Rake angle).
:
:
* Several different terms are used for the area of a watershed, such as "drainage area", "contributing area", "upstream contributing area", "total contributing area (TCA)" and "specific contributing area (SCA)"A watershed can be viewed as a polygon with a well-defined area. The terms "total contributing area" (TCA) and "specific contributing area" (SCA) are used in reference to the region that contributes flow to an arbitrary line segment placed perpendicular to the flow direction at some point in a landscape.  SCA is then defined as TCA divided by the length of this segment.
* Three [http://en.wikipedia.org/wiki/Euler_angles Euler angles] can be used to describe the orientation of a rigid body, but different conventions are usedThese would have some adjective(s) inserted before "euler_angle".
:
:
* When the object is watershed, there is no need to distinguish between "watershed_area" and "watershed_drainage_area", so "drainage" is dropped.
* The term [http://en.wikipedia.org/wiki/Flare_(ship) '''flare angle'''] refers to an angle measured from the vertical or main axis.  The verb "flare" means to gradually become wider.  (e.g. bell-bottom pants)  The term "spreading_angle" is very similar.
:
:
* When "surface" is used in connection with a body of water or ice, it indicates the top of that body and the area is the map view area.
* See: [http://en.wikipedia.org/wiki/Azimuth Azimuth angle], [http://en.wikipedia.org/wiki/Aspect_(geography) Aspect (geography)], [http://en.wikipedia.org/wiki/Orbital_inclination Orbital inclination], [http://en.wikipedia.org/wiki/Slope Slope], [http://en.wikipedia.org/wiki/Solid_angle Solid angle] and [http://en.wikipedia.org/wiki/Zenith Zenith angle].


<br/>
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== {{ Bar Heading| text=Attributes of Atoms}} ==
== {{ Bar Heading| text=Anomaly}} ==


&nbsp; quantity = attribute <br/>
&nbsp; operation_prefix = "anomaly_of"
&nbsp; quantity = "atomic_mass" <br/>
&nbsp; quantity = "emission_frequency" <br/>
&nbsp; quantity = "relative_atomic_mass"  (dimensionless ratio to carbon-12) <br/>
&nbsp; quantity = "mass_number"  (number of protons + neutrons) <br/>
&nbsp; quantity = "neutron_number" (number of neutrons) <br/>
&nbsp; quantity = "proton_number" (number of protons)


&nbsp; ''Examples''
&nbsp; ''Examples''
  carbon_isotope__neutron_number  (use "isotope" like this ??)
  atmosphere_air__anomaly_of_pressure  (i.e. difference from climatology)
  cesium_atom__mass_number
  atmosphere_air__anomaly_of_temperature
cesium_atom__neutron_number
  sea_surface_water__anomaly_of_geopotential_height
  cesium_atom__proton_number
  sea_surface_water__anomaly_of_temperature
  cesium_atom__relative_atomic_mass


* There is controversy over the term "atomic_weight" and the term "relative_atomic_mass" seems preferably and more precise.
* Before 3/19/13 this was treated as a '''quantity suffix''', but now it is treated as an "operation prefix".  It does not change the units.  See Component, Increment and Magnitude.
:
:
* While "atomic number" is a standard term, the synonym "proton_number" is winning favor because it is more specific and because "neutron_number" is also used.
* Means the "difference from climatology" in CF Standard Names.  The "mean climatology" used as a reference should be specified in the Model Metadata File with an <assume> tag.  See Reference Quantities.
:
:
* A specific frequency in the emission spectrum of cesium-133 is used for the ISU definition of the "second", so cesium is used in atomic clocks.  It is not really a characteristic vibration frequency of the atom.  (But molecules do have vibration frequencies; see Attributes of Molecules below.) It is a transition or resonance frequency between two [http://en.wikipedia.org/wiki/Hyperfine_structure hyperfine] ground states of cesium-133.  A CSDMS standard name for this frequency could be something like: "cesium-133_isotope_state1_to_state2_hyperfine_transition_frequency", where "state1" and "state2" would be replaced with appropriate names for the two states involved.
* The word "anomaly" is used in 4 CF Standard Names, namely:
:
* See the [[CSN_Object_Templates | '''CSDMS Object Template''']] for Atoms, Compounds, Ions and Molecules below for more information.


<br/>
air_pressure_anomaly   
air_temperature_anomaly
geopotential_height_anomaly
surface_temperature_anomaly
 
<br/>
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== {{ Bar Heading| text=Attributes of Channels}} ==
== {{ Bar Heading| text=Area}} ==


&nbsp; quantity = attribute <br/>
&nbsp; base_quantity = "area" <br/>
&nbsp; object = "channel_bank" <br/>
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; object = "channel_bank_water" <br/>
&nbsp; "surface_area"
&nbsp; object = "channel_bed" <br/>
&nbsp; object = "channel_bed_grain" <br/>
&nbsp; object = "channel_bed_surface" <br/>
&nbsp; object = "channel_centerline" <br/>
&nbsp; object = "channel_cross-section" <br/>
&nbsp; object = "channel_end-to-end-line" <br/>
&nbsp; object = "channel_entrance" <br/>
&nbsp; object = "channel_exit" <br/>
&nbsp; object = "channel_water" <br/>
&nbsp; object = "channel_water_suspended-sediment" <br/>
&nbsp; object = "channel_water_surface"


&nbsp; ''Examples''
&nbsp; ''Examples''
  channel_bank_water__volume-per-length_flow_rate  (or volume-per-unit-length ??)
  basin_outlet__total_contributing_area
 
  channel_x-section__area
channel__bankfull_width
  glacier_surface__area
channel__downstream_hydraulic_geometry_depth_vs_discharge_exponent
  lake_surface__area
channel__downstream_hydraulic_geometry_slope_vs_discharge_coefficient
  sphere_surface__area
channel__station_hydraulic_geometry_width_vs_discharge_exponent
channel__meander_amplitude
channel__meander_curvature_radius
channel__meander_wavelength
 
channel_bed__manning_coefficient
channel_bed__relative_roughness_ratio    (a dimensionless ratio)
channel_bed__roughness_length
channel_bed__shear_stress
 
channel_bed_grain__d50_diameter
channel_bed_grain__d84_diameter
 
channel_bed_surface__cross-stream_slope
channel_bed_surface__downstream_slope
 
### channel__bed_roughness_length_to_water_depth_ratio    ????
 
channel_bed_water__hydrostatic_pressure
channel_bed_water__pressure  (assumed "dynamic" if not hydrostatic ?)
 
channel_centerline__length
  channel_centerline__straight_sinuosity
channel_centerline__valley_sinuosity
 
channel_cross-section__area
  channel_cross-section__hydraulic_radius
channel_cross-section__max_of_depth
channel_cross-section__perimeter
channel_cross-section__wetted_area
channel_cross-section__wetted_perimeter
channel_cross-section__width_to_depth_ratio
 
channel_cross-section_top__width
   
  channel_cross-section_trapezoid_side__flaring_angle  (or bank_angle or spreading_angle ??)
channel_cross-section_trapezoid_bottom__width
channel_entrance__elevation
channel_entrance__latitude
channel_entrance__longitude
channel_entrance__specific_contributing_area
channel_entrance__total_contributing_area    (or drainage area ?)
 
channel_entrance-to-exit__difference_of_elevation ??
channel_entrance-to-exit_line__length  (or end-to-end-line__length ??)
OR ??
channel_endpoints__difference_of_elevation    ###
channel_endpoints__separation_distance ??      ###
 
channel_exit__elevation
channel_exit__latitude
channel_exit__longitude
channel_exit__specific_contributing_area
channel_exit__total_contributing_area
 
channel_water__darcy_friction_factor 
channel_water__density
channel_water__depth_and_bed_slope_product    # (product is a quantity suffix)
channel_water__fanning_friction_factor
channel_water__froude_number
channel_water__max_of_depth
channel_water__depth
channel_water__shear_stress (anywhere in the channel, vs. at channel_bed)
channel_water__speed  (or flow_speed ??)
channel_water__pressure    (anywhere in the channel vs. at channel_bed)
channel_water__temperature
channel_water__volume
channel_water__volume_flow_rate    (i.e. "Q" or discharge)
channel_water__volume_flow_rate_law_area_exponent
channel_water__volume_flow_rate_law_coefficient
channel_water__volume-per-unit-width_flow_rate  (i.e. "q", or unit-width discharge)
channel_water__incoming_volume_flow_rate    (or channel_entrance_water__volume_flow_rate ??)
channel_water__outgoing_volume_flow_rate    (or channel_exit_water__volume_flow_rate ??)
 
channel_water_surface__cross-stream_slope
channel_water_surface__downstream_slope
 
channel_water_suspended-sediment__mass_concentration
 
channel_water_total-sediment__volume_flow_rate  (i.e. "Qs" or "sediment discharge")
channel_water_total-sediment__volume_flow_rate_law_area_exponent
channel_water_total-sediment__volume_flow_rate_law_coefficient
channel_water_total-sediment__volume_flow_rate_law_slope_exponent
 
land_surface_water__volume-per-unit-contour-length_flow_rate  (i.e. "q" or "unit width discharge")


* Note that "entrance" and "exit" are used instead of "high_end" and "low_end" because it is possible for the "exit" to be the "high end".
* This quantity can be defined for any polygon and has units of length squared.
:
:
* Instead of "channel_entrance__contributing_area", we could use: "channel_entrance_watershed__area".  There are several different methods for computing contributing area (or drainage area) and the method should be indicated using an <assume> tag in a Model Metadata File, such as "d8_flow_direction_method", "d_infinity_flow_direction_method" or "mass_flux_flow_direction_method".
* The quantity "surface_area" can be defined for a surface that lies above some planar domain.  However, this is usually not what is meant by the term "area".  For CSDMS Standard Names, use "surface_area" for this situation and "area" otherwise.  
:
:
* It appears that Howard (1980) may have been the first to parameterize sediment discharge as Qs = K * A^m * S^n, where A is contributing area and S is channel slope.  (Or perhaps Carson and Kirkby or Kirkby were first.)  If so, then we could use the standard names:
* Several different terms are used for the area of a drainage basin, such as "drainage area", "contributing area", "upstream contributing area", "total contributing area (TCA)" and "specific contributing area (SCA)". A drainage basin can be viewed as a polygon with a well-defined area. The terms "total contributing area" (TCA) and "specific contributing area" (SCA) are used in reference to the region that contributes flow to an arbitrary line segment placed perpendicular to the flow direction at some point in a landscape.  SCA is then defined as TCA divided by the length of this segment.
channel_water_total_sediment__howard_law_coefficient  (K)
channel_water_total_sediment__howard_law_area_exponent (m)
  channel_water_total_sediment__howard_law_slope_exponent (n)
Note that "geomorphic_transport_law" could also be used but is more general than "howard_law".
:
:
* It would be nice to have a short, unambiguous standard name for: <br/> channel_entrance-to-exit__difference_of_elevation. <br/> Perhaps we could introduce "drop" as a quantity suffix (like increment and step) for this purpose, but this doesn't capture the end-to-end aspect of the drop.
* When "surface" is used in connection with a body of water or ice, it indicates the top of that body and the area is the map view area.
:
 
* Note that "channel_bank_angle" by itself would be ambiguous;  is it the angle the bank makes with the vertical z-axis or with a horizontal x-axis? However, "channel_cross_section_trapezoid_bank_angle" is clear.
<br/>  
:
<!-- ============================================= -->
* A quantity like "bottom_width" or "bank_angle" may only be well-defined for cross-sections of a particular shape, like a trapezoidIn such cases we use the '''Object_name + model_name Pattern'''.
 
:
== {{ Bar Heading| text=Aspect}} ==
* Avoid inserting the word "mean" or "average" for quantities like "depth" and "speed". Assumptions or clarifications on how quantities are computed are provided using <assume> tags in an associated Model Metadata File.
 
:
&nbsp; base_quantity = "angle" <br/>
* We talk of "channel_networks", but the network is not part of the channel.
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; "aspect_angle"
 
&nbsp; ''Examples''
land_surface__aspect_angle
 
* "Aspect angle" is the azimuth angle of the '''opposite''' of the gradient vector of elevation.  Recall that the gradient is a 2D vector that points in the direction of '''''steepest downhill''''' and which has a magnitude equal to the slope. (See slope). The opposite of the gradient vector is a vector that points in the opposite direction, or the the direction of '''''steepest uphill'''''It is sometimes referred to as the '''antigradient'''. Aspect angle could therefore also be expressed as:  "azimuth_angle_of_antigradient_of_elevation".
:
:
* An '''''outlet''''' would be considered part of a watershed and not part of a channel. See the object pattern for Watershed, Basins and Catchments.
* See: [http://en.wikipedia.org/wiki/Aspect_(geography) Aspect] and [http://en.wikipedia.org/wiki/Slope Slope].


<br/>
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== {{ Bar Heading| text=Attributes of Earthquakes}} ==
== {{ Bar Heading| text=Capacity}} ==
 
&nbsp; quantity = attribute <br/>
&nbsp; object = earth_asthenosphere <br/>
&nbsp; object = earth_core <br/>
&nbsp; object = earth_core-mantle_boundary <br/>
&nbsp; object = earth_crust <br/>      (move to planet attributes)
&nbsp; object = earth_crust-mantle_boundary <br/>  (known in seismology as "moho", for Mohorovicic discontinuity, about 50 km depth)
&nbsp; object = earth_inner-core <br/>
&nbsp; object = earth_lithosphere <br/>
&nbsp; object = earth_mantle <br/>
&nbsp; object = earth_mantle_plume <br/>
&nbsp; object = earth_outer-core<br/>
&nbsp; object = earth_surface <br/>
&nbsp; object = earth_transition-zone <br/>
&nbsp; <br/>
&nbsp; object = earthquake <br/>
&nbsp; object = earthquake_auxiliary-plane <br/>
&nbsp; object = earthquake_epicenter <br/>
&nbsp; object = earthquake_fault <br/>
&nbsp; object = earthquake_fault_plane <br/>
&nbsp; object = earthquake_foot-wall-block <br/>
&nbsp; object = earthquake_hanging-wall-block <br/>
&nbsp; object = earthquake_hypocenter <br/>
&nbsp; object = earthquake_p-wave <br/>
&nbsp; object = earthquake_s-wave <br/>
&nbsp; object = earthquake_shadow-zone <br/>
&nbsp; <br/>
&nbsp; object = seismic_wave <br/>


&nbsp; base_quantity = "capacity" <br/>
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; "anion_exchange_capacity" (used in soil physics)  <br/>
&nbsp; "cargo_capacity"  (e.g. of an automobile) <br/>
&nbsp; "cation_exchange_capacity" (used in soil physics)  <br/>
&nbsp; "carrying_capacity" (of an ecosystem) <br/>
&nbsp; "infiltration_capacity"  ####### (in hydrology; also called "infiltrability")  <br/>
&nbsp; "interception_capacity"  (in hydrology)<br/>
&nbsp; "isobaric_heat_capacity"  (constant pressure) (of an entire object, extensive) <br/>
&nbsp; "isochoric_heat_capacity"  (constant volume) (of an entire object, extensive) <br/>
&nbsp; "mass-specific_isobaric_heat_capacity"  (constant pressure) <br/>
&nbsp; "mass-specific_isochoric_heat_capacity"  (constant volume) <br/>
&nbsp; "volume-specific_isobaric_heat_capacity"  (constant pressure) <br/>
&nbsp; "volume-specific_isochoric_heat_capacity"  (constant volume)<br/>


&nbsp; ''Examples''
&nbsp; ''Examples''
  earth_core__radius
  air__volume-specific_isochoric_heat_capacity
   
  anvil__isobaric_heat_capacity
earth_crust__**
  aluminum__mass-specific_isobaric_heat_capacity
 
  earth_human__carrying_capacity    (need to specify two objects)
earth_inner-core__radius
  space-shuttle_tile__isochoric_heat_capacity
 
earth_mantle__**
 
earthquake__critical_slip_distance
earthquake__duration  (overall duration of the event)
  earthquake__drop_of_dynamic_stress  ????
  earthquake__drop_of_static_stress  ???
earthquake__eastward_component_of_slip-vector
  earthquake__mercali_intensity
earthquake__moment_magnitude
earthquake__northward_component_of_slip-vector
earthquake__origin_time
earthquake__release_energy    (known in seismology as the "moment")
earthquake__richter_magnitude
earthquake__rupture_speed    (or rupture_velocity ??)
earthquake__slip_angle          (angle between slip vector and horizontal)
earthquake__slip_distance
earthquake__slip_duration    (also known as the "rise time", as seen on a seismograph, from rupture time to peak moment release.)
  earthquake__slip_speed    (slip is a 2D vector)
 
earthquake_auxiliary_plane__**
 
earthquake_epicenter__latitude
earthquake_epicenter__longitude
 
earthquake_fault__**


  earthquake_fault_plane__contact_area  (due to asperities; perhaps 0.22 times the rupture_area ??)
* The word "capacity" indicates the maximum "amount" of something that an object can hold. When applied to an empty container, like a fuel tank, it has units of volumeHowever, it may also be a nonnegative integer, as in "carrying capacity" or have other units, as in various types of heat capacity.
  earthquake_fault_plane__dip_angle  (angle between fault plane and horizontal)
:
earthquake_fault_plane__length
* [http://en.wikipedia.org/wiki/Heat_capacity '''Heat capacity'''] is an extensive property of an object (or matter); it is proportional to the amount of matter and can be used for discrete objects (like an anvil). There are two types of heat capacity, one computed with the pressure held constant, called "isobaric" and another with the volume held constant, called "isochoric". "Specific heat capacity" (often called "specific heat capacity") is an intensive property, that is, an amount per unit mass or volume. In the CSDMS Standard Names, the adjectives "mass-specific", "volume-specific" and "mole-specific" are used to remove ambiguity.
earthquake_fault_plane__rake_angle  (direction that hanging wall block moves from, measured on the fault plane)
  earthquake_fault_plane__rupture_area
earthquake_fault_plane__rupture_length  ???
earthquake_fault_plane__rupture_time    (time that rupture event begins)
earthquake_fault_plane__rupture_width  ???
  earthquake_fault_plane__slip-rake_angle  ???
earthquake_fault_plane__strike_angle  (angle in plane of Earth's surface
  earthquake_fault_plane__width
 
earthquake_foot-wall-block__
 
earthquake_hanging-wall-block__
 
earthquake_hypocenter__depth  (hypocenter is also called the "focus" ??)
earthquake_hypocenter__latitude
earthquake_hypocenter__longitude
earthquake_hypocenter-to-station__distance
 
earthquake_p_wave__amplitude    ## (p = primary, pressure or push-pull)
earthquake_p_wave__frequency
earthquake_p_wave__period
earthquake_p_wave__speed
earthquake_p_wave__wavelength
 
earthquake_s_wave__amplitude  ## (s = secondary, shear or shake)
earthquake_s_wave__frequency
  earthquake_s_wave__period
earthquake_s_wave__speed
earthquake_s_wave__takeoff_angle    ####### (angle from the vertical of a seismic ray as it leaves the focus)
earthquake_s_wave__wavelength
 
* Moment = rigidity x displacement x rupture_area
:
:
* The "takeoff_angle" and "azimuth_angle" give the direction in which a seismic (wave) ray leaves the focus or hypocenter.
* "Thermal capacity" is another, but less commonly used term for "heat capacity".
:
:
* Seismic wave travel times are from source to stationHow are the following terms defined?  rupture azimuth,  source duration, apparent source duration, particle velocity, static stress drop, dynamic stress drop, radiated seismic energy, rupture top depth, rupture down dip width?
* Aluminum, copper, cast iron and stainless steel cookware are often compared in terms of their thermal conductivity (how well they conduct heat) and heat capacity (how well they retain heat)See: [http://en.wikipedia.org/wiki/Cookware-and-bakeware Cookware and bakeware].
:
:
* There are many types of [http://en.wikipedia.org/wiki/Seismic_waves Seismic waves], including: [http://en.wikipedia.org/wiki/P-wave P-waves], [http://en.wikipedia.org/wiki/Rayleigh_wave Rayleigh waves],[http://en.wikipedia.org/wiki/S-wave S-waves] and http://en.wikipedia.org/wiki/Stoneley_wave Stonely waves].
* The term [http://en.wikipedia.org/wiki/Carrying_capacity '''carrying capacity'''] follows the '''Process_name + Quantity Pattern''' and is the maximum population size for a given ecosystem.
:
:
* See: [http://en.wikipedia.org/wiki/Bulk_modulus Bulk modulus], [http://en.wikipedia.org/wiki/Compressibility Compressibility], [http://en.wikipedia.org/wiki/Elastic_modulus Elastic modulus], [http://en.wikipedia.org/wiki/Shear_modulus Shear modulus], [http://en.wikipedia.org/wiki/Stiffness Stiffness] and [http://en.wikipedia.org/wiki/Young%27s_modulus Young's modulus].
* There are 4 CF Standard Names that contain "capacity", namely "soil_thermal_capacity" and 3 others that contain the phrase "at_field_capacity" and refer to soil moisture. The coresponding CSDMS standard name is: "soil_field_capacity_water_content". See the Soil template on the [[CSN_Object_Templates | '''CSDMS Object Templates''']] page for more information.
:
:
* See: [http://en.wikipedia.org/wiki/Earthquake Earthquake], [http://en.wikipedia.org/wiki/Earthquake_Rupture Earthquake rupture], [http://en.wikipedia.org/wiki/Epicenter Epicenter], [http://en.wikipedia.org/wiki/Fault_(geology) Fault (geology)], [http://en.wikipedia.org/wiki/Focal_mechanism Focal mechanism], [http://en.wikipedia.org/wiki/Hypocenter Hypocenter] (also called the "focus"), [http://en.wikipedia.org/wiki/Mercalli_intensity_scale Mercali intensity scale], [http://en.wikipedia.org/wiki/Richter_scale Richter scale], [http://en.wikipedia.org/wiki/Seismic_scale Seismic scale], [http://en.wikipedia.org/wiki/Seismic_wave Seismic wave] and [http://en.wikipedia.org/wiki/Shadow_zone Shadow zone].
* See: [http://en.wikipedia.org/wiki/Battery_capacity#Battery_capacity-and-discharging Battery capacity], [http://en.wikipedia.org/wiki/Cation-exchange_capacity Cation-exchange capacity], [http://en.wikipedia.org/wiki/Channel_capacity Channel capacity], [http://en.wikipedia.org/wiki/Combining_capacity Combining capacity], [http://en.wikipedia.org/wiki/Heat_capacity Heat capacity] and [http://en.wikipedia.org/wiki/Tonnage Tonnage].


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== {{ Bar Heading| text=Attributes of Glaciers}} ==
== {{ Bar Heading| text=Charge}} ==


&nbsp; quantity = attribute
&nbsp; base_quantity = "charge"      [C = Coulombs, SI unit]


&nbsp; ''Examples''
&nbsp; ''Examples''
  glacier_ablation-zone__area
  electron__electric_charge
glacier_ablation-zone__area_fraction  (or ablation_zone_to_total_area_fraction ?)
 
 
* The total electric charge is a fundamental conserved quantity of an isolated system.
glacier_accumulation-zone__area
glacier_accumulation-zone__area_fraction
 
glacier_equilibrium-line__altitude  ## (vs. elevation in this case)
 
glacier_bed__eastward_downward_component_of_shear_stress
glacier_bed__magnitude_of_shear_stress
glacier_bed__northward_downward_component_of_shear_stress
glacier_bed__pressure  # (hydrostatic or dynamic ??)
glacier_bed__sliding_speed
glacier_bed__x_z_component_of_shear_stress
glacier_bed__y_z_component_of_shear_stress
 
glacier_bed_surface__aspect_angle
glacier_bed_surface__slope      (See: Surface template.)
glacier_bed_surface__slope_angle
 
glacier__azimuth_angle_of_flow_velocity
glacier__downward_component_of_flow_velocity
glacier__eastward_component_of_flow_velocity
glacier__northward_component_of_flow_velocity
glacier__southward_component_of_flow_velocity
glacier__westward_component_of_flow_velocity
glacier__x_component_of_flow_velocity
glacier__y_component_of_flow_velocity
glacier__z_component_of_flow_velocity
glacier__zenith_angle_of_flow_velocity
 
glacier__flow_speed
glacier__glen_law_coefficient      ## (or "creep_parameter" ?)
glacier__glen_law_exponent      ## (or "creep_exponent" ?)
glacier__internal_temperature
glacier__mass
glacier__melt_rate
glacier__thickness
glacier__time_derivative_of_thickness
glacier__time_integral_of_melt_rate      # (cumulative meltwater volume)
glacier__volume
 
glacier_terminus__calving_rate
glacier_terminus__retreat_rate      (See: [http://en.wikipedia.org/wiki/Retreat_of_glaciers_since_1850 Glacier retreat]; perhaps a terminus speed)
glacier_terminus_left-side__latitude  #### (for left-side, need to specify if looking downstream or upstream)
glacier_terminus_left-side__longitude
glacier_terminus_right-side__latitude
glacier_terminus_right-side__longitude
 
glacier_top_surface__area
glacier_top_surface__aspect_angle
glacier_top_surface__emissivity
glacier_top_surface__incoming_longwave_radiation_flux
glacier_top_surface__incoming_shortwave_radiation_flux
glacier_top_surface__outgoing_longwave_radiation_flux
glacier_top_surface__slope      (see glacier_bed_surface_slope)
glacier_top_surface__slope_angle
glacier_top_surface__temperature    ### (or just glacier_top__temperature ??)
 
* In glaciology, "mass_balance" has a specific meaning that can be confusing to scientists from other disciplines.  See: [http://en.wikipedia.org/wiki/Glacier_mass_balance Glacier mass balance]. It is the difference between accumulation and ablation (melting and sublimation) and therefore the net rate at which ice is being "added" to the glacier.  The quantity name:  "glacier__time_derivative_of_thickness" is unambiguous (it avoids domain-specific terms) and is more consistent with other standard names.  
:
:
* Within the CSDMS Standard Names, quantity names "altitude" and "elevation" are taken to have distinct meaningsSee Altitude and ElevationHowever, the quantity name [http://en.wikipedia.org/wiki/Equilibrium_line_altitude equilibrium_line_altitude] is allowed since it is a standard term in glaciology and otherwise follows the naming rules.
* Electric charge is ''quantized'', that is,  it comes in multiples of the the charge of an electron, called the ''elementary charge'', denoted as "e".  The charge of a quark is 1/3 of this valueElectric charge also carries a sign; protons and electrons have charges of e and -e.
:
:
* Note that these names don't contain the word "ice", since a glacier is a persistent body of ice (by definition) and including "ice" is therefore redundant.  However, for a glacier on another planet (e.g. Mars) that is not made of water, an adjective such as "carbon_dioxide" can be inserted before "glacier".  In fact, this is the trend in the current literature.
* See: [http://en.wikipedia.org/wiki/Electric_charge Electric charge] and [http://en.wikipedia.org/wiki/Elementary_charge Elementary charge].
:
* We may need an additional adjective before "area" in order to distinguish between a "surface area" and "projected area".
:
* See: [http://en.wikipedia.org/wiki/Accumulation_zone Accumulation zone], [http://en.wikipedia.org/wiki/Ablation_zone Ablation zone], [http://en.wikipedia.org/wiki/Glacier Glacier], [http://en.wikipedia.org/wiki/Ice_sheet Ice sheet], [http://en.wikipedia.org/wiki/Meltwater Meltwater] and [http://en.wikipedia.org/wiki/Glacier_terminus Glacier terminus].


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== {{ Bar Heading| text=Circulation}} ==


== {{ Bar Heading| text=Attributes of Models}} ==
&nbsp; base_quantity = "circulation"


&nbsp; quantity = attribute
&nbsp; ''Examples''
airfoil_curve~enclosing__circulation


&nbsp; ''Examples''
* In fluid dynamics, circulation is the line integral of a velocity field around a closed curve. If not otherwise specified, that closed curve is taken to enclose the object in the object part of the name (i.e. in a CSDMS Standard Name). The closed curve is also assumed to lie wholly within the "potential flow" region and not in the boundary layer close to the boundary of the airfoil/object.
  model_grid__column_count  # (number of columns)
:
  model_grid__row_count  # (number of rows)
* We could also use something like: "airfoil" + "closed_line_integral_of_velocity"
 
model_grid_east-edge__longitude
model_grid_north-edge__latitude
model_grid_south-edge__latitude
model_grid_west-edge__longitude
 
model_grid_cell__area
model_grid_cell__column_index
model_grid_cell__d8_total_contributing_area
model_grid_cell__d8_flow_length
model_grid_cell__d8_flow_width
model_grid_cell__d8_slope
model_grid_cell__d_infinity_total_contributing_area
model_grid_cell__d_infinity_slope
model_grid_cell__diameter
model_grid_cell__perimeter
model_grid_cell__row_index
model_grid_cell__row-major-offset_index
model_grid_cell__total_contributing_area  #####
 
model_grid_cell_center__latitude
model_grid_cell_center__longitude
 
model_grid_cell_east-edge__longitude
model_grid_cell_west-edge__longitude
model_grid_cell_south-edge__latitude
model_grid_cell_north-edge__latitude
 
model_grid_cell_east-edge__length
model_grid_cell_west-edge__length
model_grid_cell_south-edge__length
model_grid_cell_north-edge__length
model_grid_cell_x-edge__length
model_grid_cell_y-edge__length
 
model_grid_cell_water__time_derivative_of_volume
model_grid_cell_water__incoming_volume_flow_rate
model_grid_cell_water__outgoing_volume_flow_rate
 
model_soil_layer-0__porosity
model_soil_layer-0__thickness
model_soil_layer-0__wetted_thickness
 
model__run_time
model__start_time
model__stop_time
model__time
model__time_step
 
* A model of a physical process will typically discretize both the spatial domain and time.  This introduces several quantities that do not exist in the "real world", but only within the context of the model, as shown in the examples above. Note that "total_contributing_area" is a quantity that is technically associated with a segment of a contour line, but is typically attributed to a grid cell.
:
:
* While CSDMS component models often request variables from one another (i.e. a model tells the framework it needs a variable using the BMI function get_output_var_names()), CSDMS does not support (and discourages) models requesting '''model attributes''' from one another.  Model attributes (i.e. output variables that start with the word "model") that are listed among a model's output variables are only intended for use by the modeling framework.  Part of the CSDMS philosophy is the idea that model components should not need to know anything about the internal details of other models that they want to obtain output variables from --- this is viewed as the job of the modeling framework (which calls service components or mediators when needed).  Another part of this philosophy (more of a design decision) is that model components should not need to be grouped into "types" (e.g. based on the physical process they model, such as "infiltration").  All matching should be based on what each model needs from others or can provide to others.
* See: [http://en.wikipedia.org/wiki/Circulation_(fluid_dynamics) Circulation].
:
* Many of the possible model attributes will be "provided" by most or all of the models in a "component set". For example, "model__time_step" would typically be listed as an output variable for every model in a component set. This means that model attribute names cannot be used to automatically match users to providers.  For this to be possible, models would need to be grouped into named "types", model developers would need to be aware of these types, and the type name (e.g. perhaps a process name like "infiltration") would need to be inserted before the word "model" in model output variable names. While individual component models therefore have no way to ask for model attributes from another model in the component set, the framework "sees everything" and can keep track of which component it retrieved a model attribute from.  For example, the service component that performs time interpolation for the models in a component set needs to know the individual time steps of each model in the set. (But actually gets this directly from the BMI "get_time_step()" function instead of using a "get_values()" call for the variable called "model__time_step".)


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== {{ Bar Heading| text=Attributes of Molecules}} ==
== {{ Bar Heading| text=Code}} ==


&nbsp; quantity = attribute <br/>
&nbsp; base_quantity = "code"
&nbsp; quantity = "bond_angle" <br/>
&nbsp; quantity = "bond_dissociation_energy" <br/> 
&nbsp; quantity = "bond_energy" <br/>
&nbsp; quantity = "bond_length" <br/> 
&nbsp; quantity = "proton_number"  (total number of protons)  <br/>
&nbsp; quantity = "torsion_angle"  <br/>
&nbsp; quantity = "vibration_frequency"


:''Examples''
&nbsp; ''Examples''
  water_molecule__actual_bond_angle
  basin__pfafstetter_code
  water_molecule__ideal_bond_angle  (or replace "ideal" by "VSEPR" ?)
  basin__usgs_hydrologic_unit_code
  water_molecule__hydrogen_number  (??? number of hydrogen atoms)
  location__postal_code    (See: [http://en.wikipedia.org/wiki/Postal_code Postal code].)
water_molecule_h_o__bond_dissociation_energy
water_molecule_h_o__bond_length
water_molecule_h_o_h__bond_angle


* A molecule is an electrically neutral group of two or more atoms held together by covalent chemical bonds.
* For hydrologic features such as rivers, unique identification numbers such as the [http://en.wikipedia.org/wiki/United_States_Geological_Survey USGS]  [http://en.wikipedia.org/wiki/Hydrological_code Hydrologic Unit Code] (or "HUC number") and Pfafstetter Code are used.
:
:
* CSDMS Standard Names allow using the standard symbol for atoms of a particular element that occur in a molecule (but in lower case).
* Codes sometimes include both numbers and letters.
:
:
* There is distinction between "bond energy" and "bond dissociation energy".
* See Number.
:
 
* It seems that the bond energy, bond dissociation energy and bond length all depend on the molecule that the atoms are in and not just which two types of atoms are involvedIf this is the case, then names should use the '''Part-of-another-Object Pattern''' (and perhaps the '''Object-to-object Quantity Pattern''' for the atoms), as in: "water_molecule_h_o_bond_length" and "water_molecule_h_o_bond_dissociation_energy".
<br/>
:
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* See: [http://en.wikipedia.org/wiki/Bond_length bond length], [http://en.wikipedia.org/wiki/Bond-dissociation_energy bond-dissociation energy] and [http://en.wikipedia.org/wiki/Bond_energy bond energy].
 
:
== {{ Bar Heading| text=Coefficient}} ==
* Bond angles and lengths in molecules are defined as time averages.
 
&nbsp; base_quantity = "coefficient" <br/>
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; "absorption_coefficient" <br/>
&nbsp; "attenuation_coefficient" <br/>
&nbsp; "diffusion_coefficient" <br/>
&nbsp; "drag_coefficient" <br/>
&nbsp; "eddy_diffusion_coefficient" <br/>
&nbsp; "exchange_coefficient" <br/>
&nbsp; "expansion_coefficient" <br/>
&nbsp; "extinction_coefficient" <br/>
&nbsp; "friction_coefficient" <br/>
&nbsp; "lift_coefficient" <br/>
&nbsp; "partition_coefficient" <br/>
&nbsp; "reaeration_coefficient" <br/>
&nbsp; "reflection_coefficient" <br/>
&nbsp; "scattering_coefficient" <br/>
&nbsp; "sieving_coefficient"  <br/>
&nbsp; "transfer_coefficient" <br/>
&nbsp; "transmission_coefficient"
 
&nbsp; ''Examples''
airfoil__drag_coefficient
airfoil__lift_coefficient
concrete_rubber__kinetic_friction_coefficient
atmosphere_air_radiation__beer_lambert_law_attenuation_coefficient
iron__thermal_volume_expansion_coefficient
glacier__glen_law_coefficient
math__binomial_coefficient    (See Constants in Math)
pavement_rubber__static_friction_coefficient
polynomial__leading_coefficient
spring~steel__hooke_law_coefficient    [kg s-2]    (the "spring constant" in Hooke's law)
water_salt__diffusion_coefficient
 
* Coefficients are '''multiplicative factors''' that often occur in empirical laws, and other mathematical expressions.  In the CSDMS Standard Names, other "control variables" that do not appear as multiplicative factors are referred to as '''parameters'''.  (However, sometimes people refer to these other parameters as coefficients.)  Coefficients and exponents can be viewed as special types of parameters[http://en.wikipedia.org/wiki/Parameter '''Parameters'''] are typically not model state variables, but instead are "tunable" "control parameters" that define the model itself.
:
* Many quantity names (see above) are built from the base quantity "coefficient" and a process name, which conforms to the '''Process_name + Quantity Pattern'''.
:
* [http://en.wikipedia.org/wiki/Diffusion '''Diffusion'''] is the process by which a substance moves (down gradient) from regions of high concentration to regions of low concentration.  In [http://en.wikipedia.org/wiki/Molecular_diffusion '''molecular diffusion'''] this process is driven by thermal energy.  In [http://en.wikipedia.org/wiki/Turbulent_diffusion '''turbulent diffusion'''] it is driven by random fluctuations and swirling structures in the flow, such as eddies.  When unqualified, a diffusion coefficient refers to the parameter, D, in the [http://en.wikipedia.org/wiki/Diffusion_equation diffusion equation] that has units of [m2 s-1], regardless of what substance is diffusing.  The term [http://en.wikipedia.org/wiki/Eddy_diffusion '''eddy diffusion coefficient'''] (also called "eddy diffusivity") is used for turbulent diffusion and also has units of [m2 s-1].  See the section for Diffusivity (which needs to be reconciled with this one).
:
* The concept of '''bulk parameterization''' is used in atmosphere and ocean science in order to estimate the rates (as fluxes) at which mass, momentum and heat are transferred between the atmosphere and the surface of either the land or sea.  This approach uses the logarithmic law of the wall to relate the fluxes to values of heat, momentum, humidity (water vapor) or other gases that are measured at some fixed height above the interface  (e.g. 10 meters).  The use of the adjective "bulk" seems to stem partly from the idea of "bulk flow" (also called "free stream flow"), or flow that is far enough away from the interface boundary that it moves relatively unimpeded, as opposed to near-boundary flow.  It also indicates that fluxes obtained by this method should be applicable over larger areas.  '''Bulk transfer coefficients''' (also called "bulk exchange coefficients") are quantities associated with this approach, and can be defined somewhat differently by different authors, for example as dimensionless quantities or including shear velocity as a factor (with velocity units).  There are separate bulk transfer coefficients for mass (water vapor or another gas, which may condense at the interface), momentum and heat.  These bulk transfer coefficients are initially computed for a "neutral" state (e.g. when the surface temperature is equal to the air temperature), and then typically adjusted (e.g. by a function of bulk Richardson number) depending on whether the (stratified) atmosphere is in a "stable" (e.g. T_surf > T_air) or "unstable" (T_surf < T_air) state.  These considerations lead to standard names such as "bulk_mass_transfer_coefficient" and "bulk_sensible_heat_transfer_coefficient" which are taken to be dimensionless. Note that the adjectives "stable" and "unstable" are not included because they are attributes of the atmosphere that are used to compute the bulk transfer coefficient but can change during a model run.  The adjective "neutral" can be included, however, since this allows access to the "base value" that is modified for the stable and unstable cases.  '''Note''':  The product of the wind speed at the reference height and a bulk transfer coefficient is sometimes called the "bulk aerodynamic conductance" (of mass, momentum or heat).  The reciprocal is then the "bulk aerodynamic resistance".
:
:
* A '''''bond_angle''''' can be defined for 2 consecutive bonds and 3 atoms, as in "water_molecule_bond_angle" or "water_molecule_h_o_h_bond_angle"For a molecule in which all bond angles are the same, like benzene, we could have "benzene_c_c_c_bond_angle" or "benzene_c_c_h_bond_angle". See: [http://en.wikipedia.org/wiki/Benzene Benzene].
* In the book, "Hydrology: An Introduction" by Brutsaert (2005, p. 41), the transfer coefficients for mass, momentum and heat are defined as dimensionless numbers and denoted as: Ce, Cd and Ch.  Ce is also called the Dalton number (for water vapor).  Cd is also called the [http://en.wikipedia.org/wiki/Drag_coefficient '''drag coefficient'''].  Ch is also called the [http://en.wikipedia.org/wiki/Stanton_number '''Stanton number''']However, this differs from other definitions;  see: [http://en.wikipedia.org/wiki/Heat_transfer_coefficient Heat transfer coefficient] (SI units of [W m-2 K-1]) and [http://en.wikipedia.org/wiki/Mass_transfer_coefficient Mass transfer coefficient] (SI units of [m s-1]).  
:
:
* A '''''torsion_angle''''' can be defined for 3 consecutive bonds and 4 atoms, as in "ethane_h_c_c_h_torsion_angle".  A synonym is "dihedral_angle".
* The "Manning n parameter" is sometimes called "Manning's roughness coefficient" or "Manning's coefficient" or something similar.  (But the word "roughness" is not needed to remove ambiguity.)  Since Manning's n appears in the denominator of Manning's formula, it technically isn't a coefficient (i.e. its inverse is the multiplicative factor, or coefficient).  Note that [http://en.wikipedia.org/wiki/Manning_formula Manning's formula] also contains another parameter, usually denoted by "k" that serves as a unit conversion factorIn the CSDMS Standard Names these are both referred to as "parameters" and use that pattern.
:
:
* For [http://en.wikipedia.org/wiki/Ligand ligands], a [http://en.wikipedia.org/wiki/Ligand_cone_angle ligand cone angle] and [http://en.wikipedia.org/wiki/Bite_angle ligand bite angle] can be defined.
* The terms "attenuation_coefficient" and "attenuation_factor" are both used but they refer to different quantities associated with the '''Beer-Lambert Law'''. The "attenuation coefficient" is a parameter in the Beer-Lambert law with units of inverse length. When applied to gases in the atmosphere,  dimensionless quantities called "optical air mass" and "optical depth" are instead used in the exponential.  "Attenuation factor " is apparently a synonym for "transmittance", which is the ratio of transmitted to incident radiation, I(x)/I(0), a positive number less than 1.  See: [http://en.wikipedia.org/wiki/Absorbance Absorbance], [http://en.wikipedia.org/wiki/Airmass Air mass], [http://en.wikipedia.org/wiki/Attenuation_coefficient Attenuation coefficient], [http://en.wikipedia.org/wiki/Beer–Lambert_law Beer-Lambert Law], [http://en.wikipedia.org/wiki/Optical_depth Optical depth] and [http://en.wikipedia.org/wiki/Transmittance Transmittance].
:
:
* [http://en.wikipedia.org/wiki/VSEPR_Theory Valence shell electron pair repulsion theory (VSEPR)] is a model in chemistry used to predict the shapes of molecules, such as "ideal bond angles".
* See: [http://en.wikipedia.org/wiki/Attenuation_coefficient Attenuation coefficient],  [http://en.wikipedia.org/wiki/Ballistic_coefficient Ballistic coefficient], [http://en.wikipedia.org/wiki/Binomial_coefficient Binomial coefficient], [http://en.wikipedia.org/wiki/Coefficient Coefficient], [http://en.wikipedia.org/wiki/Drag_coefficient Drag coefficient], [http://en.wikipedia.org/wiki/Extinction_coefficient Extinction coefficient], [http://en.wikipedia.org/wiki/Friction Friction], [http://en.wikipedia.org/wiki/Heat_transfer_coefficient Heat transfer coefficient], [http://en.wikipedia.org/wiki/Lift_coefficient Lift coefficient], [http://en.wikipedia.org/wiki/Manning_formula Manning formula], [http://en.wikipedia.org/wiki/Mass_diffusivity Mass diffusivity], [http://en.wikipedia.org/wiki/Mass_transfer_coefficient Mass transfer coefficient], [http://en.wikipedia.org/wiki/Partition_Coefficient Partition coefficient], [http://en.wikipedia.org/wiki/Pressure_coefficient Pressure coefficient], [http://en.wikipedia.org/wiki/Reflection_coefficient Reflection coefficient], [http://en.wikipedia.org/wiki/Sieving_coefficient Sieving coefficient], [http://en.wikipedia.org/wiki/Skin_friction#Skin_friction Skin friction coefficient], [http://en.wikipedia.org/wiki/Thermal_expansion Thermal expansion] and [http://en.wikipedia.org/wiki/Transmission_coefficient_(physics) Transmission coefficient].
:
:
* Molecules have "vibration frequencies" associated with all the different ways in which the atoms in the molecule can undergo a periodic motion relative to one another.  (These relative positions don't change when the molecule rotates or translates as a whole.) See: [http://en.wikipedia.org/wiki/Vibrational_spectroscopy Molecular vibration].  (Individual atoms don't have vibration frequencies but they do have "emission frequencies".)  In the so-called: rocking, scissoring, twisting and wagging vibrations, the bond lengths between atoms don't change.  In stretching vibrations (symmetric or antisymmetric), the bond lengths change.  For the CSDMS standard names we may be able to use names such as "ethylene_wagging_vibration_frequency".
* See Constant, Exponent, Factor, Index, Number and Parameter.
:
:
* We could use "hydrogen_number" to quantify the number of hydrogen atoms in a molecule, but that term is also used in a medical context to mean the quantity of hydrogen that 1 gram of fat will absorb.
* See Friction.


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== {{ Bar Heading| text=Attributes of Planets}} ==
== {{ Bar Heading| text=Component}} ==


&nbsp; quantity = attribute
&nbsp; [ direction adjective(s) ] + "_component_of_" +  [ vector quantity ]


&nbsp; ''Examples''
&nbsp; ''Examples''
  earth_axis__tilt_angle    (see "Object vs. Adjective Rule")
  atmosphere_air_flow__east_component_of_velocity
  earth_ellipsoid__equatorial_radius
  atmosphere_air_flow__north_component_of_vorticity
  earth_ellipsoid__flattening_ratio
  channel_water_flow__x_component_of_velocity
  earth_ellipsoid__polar_radius
  sea_water_flow__down_east_component_of_stress
earth__mass
earth_orbit__eccentricity        (see "Object vs. Adjective Rule")
earth__rotation_rate
earth__rotation_period      (see "Process_name + Quantity Pattern")
earth__sidereal_day
earth__solar_irradiation_constant    ( or just "solar constant"?  See notes.)
earth__standard_gravity_constant    (see the Constant template)
mars__mean_diameter
mercury_axis__precession_period
mercury_axis__precession_rate
venus_orbit__inclination_angle  (or "venus_orbit_to_ecliptic" ?)


* Some of these are needed for proper georeferencing or modeling solar radiation via celestial mechanics.
* Components of vectors and tensors are constructed using coordinate-direction adjectives and the "component_of" operation, as shown in the examples above.
:
:
* Notice that the word "ellipsoid" was inserted in three examples aboveThis is an example of the '''''Object_name + Model_name''''' pattern that is explained at the top of the document: [[CSN_Object_Templates | '''CSDMS Object Templates''']].  
* The coordinate-direction adjectives are:  east, west, north, south, x, y, z, up, down, offshore, longshore, cross_stream and downstream.  Two coordinate-direction adjectives are needed for a component of "flow_shear_stress".  As of 7/28/14, eastward, westward, northward and southward have been shortened to east, west, north and south.
:
:
* See: [http://en.wikipedia.org/wiki/Orbital_elements Orbital elements] for a discussion of the 6 parameters (including "inclination angle") that uniquely specify a specific orbit in astronomy.
* Note that the word "flow" is used in the object part of the name as a shorthand for "flow_field".  It is another example of the Object Name + Model Name Pattern.
:
:
* Note that [http://en.wikipedia.org/wiki/Insolation Insolation] refers to the solar irradiance measured at a given location '''on''' Earth, typically around 1000 W/m^2.  The [http://en.wikipedia.org/wiki/Solar_constant Solar irradiation constant] is measured at the outer surface of Earth's atmosphere and is roughly 1366 W/m^2.  Due to scattering and absorption in the atmosphere, the "insolation" is less than the "solar irradiation constant".
* See Stress, Velocity and Vorticity.
:
:
* See: [http://en.wikipedia.org/wiki/Axial_precession Axial precession], [http://en.wikipedia.org/wiki/Axial_tilt Axial tilt], [http://en.wikipedia.org/wiki/Declination Declination], [http://en.wikipedia.org/wiki/Ecliptic Ecliptic], [http://en.wikipedia.org/wiki/Nutation Nutation], [http://en.wikipedia.org/wiki/Position_of_the_Sun Position of the Sun], [http://en.wikipedia.org/wiki/Precession Precession], [http://en.wikipedia.org/wiki/Right_ascension Right ascension], [http://en.wikipedia.org/wiki/Solar_azimuth_angle Solar azimuth angle],  [http://en.wikipedia.org/wiki/Solar_elevation_angle Solar elevation angle] and [http://en.wikipedia.org/wiki/Zenith Zenith].
* This was changed from a "quantity suffix" to a vector operation on 2/7/13See [[CSN_Operation_Templates | '''CSDMS Operation Templates''']].


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== {{ Bar Heading| text=Compressibility}} ==
&nbsp; base_quantity = "compressibility" <br/>
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; "isentropic_compressibility" <br/>
&nbsp; "isothermal_compressibility"


== {{ Bar Heading| text=Attributes of Processes}} ==
&nbsp; ''Examples''
atmosphere_air__isothermal_compressibility


* See the template for Process Attributes.
* Compressibility is a measure of the relative change in volume in response to a pressure.
:
* See: [http://en.wikipedia.org/wiki/Compressibility Compressibility] and [http://en.wikipedia.org/wiki/Compressibility_equation Compressibility equation].


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== {{ Bar Heading| text=Attributes of Products of a Company}} ==


&nbsp; quantity = attribute
== {{ Bar Heading| text=Concentration}} ==


* See the [[CSN_Object_Templates | '''CSDMS Object Template''' ]] for "Product of a Company".
&nbsp; base_quantity = "concentration" <br/>
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; "mass_concentration"    [kg m-3] <br/>
&nbsp; "molar_concentration"    [mol m-3] (molarity) <br/>
&nbsp; "number_concentration"  [m-3] <br/>
&nbsp; "volume_concentration"   [1] = [m3 / m3]


<br/>
&nbsp; ''Examples''
<!-- ============================================= -->
channel_water_sediment~suspended__mass_concentration
== {{ Bar Heading| text=Attributes of Radiation}} ==
sea_water_magnesium-chloride__molar_concentration
sea_water_sediment~suspended__mass_concentration


&nbsp; quantity = attribute <br/>
* There are four main types of concentration, shown above, and they all have different units.
&nbsp; quantity = "absorbance" <br/>
:
&nbsp; quantity = "albedo" <br/>
* The quantity "concentration" is always associated with two substances (objects) so we use the '''Object-in-object Quantity Pattern'''.
&nbsp; quantity = "amplitude" <br/>
:
&nbsp; quantity = "emission_angle" <br/>
* '''''Molality''''' is a related concept with SI units of [mol kg-1].
&nbsp; quantity = "emissivity" <br/>
:
&nbsp; quantity = "flux" <br/>
* '''''Mass fraction''''' and '''''mole fraction''''' are both dimensionless ratios.
&nbsp; quantity = "frequency" <br/>
:
&nbsp; quantity = "incidence_angle" <br/>
* '''''Mass ratio''''' and '''''mole ratio''''' are also dimensionless ratios and are considered "mixing ratios".  See: [http://en.wikipedia.org/wiki/Mixing_ratio Mixing ratio].
&nbsp; quantity = "intensity" <br/>
:
&nbsp; quantity = "period" <br/>
* "Molar concentration" is also called "molarity". See: [http://en.wikipedia.org/wiki/Molarity Molarity].
&nbsp; quantity = "reflectivity" <br/>
:
&nbsp; quantity = "standad_refraction_index" <br/>
* "Volume concentration" is also called "volume fraction".  See Fraction.
&nbsp; quantity = "transmittance" <br/>
&nbsp; quantity = "wavelength" <br/>
 
* Albedo is also called "diffuse reflectivity" or "reflectance coefficient".
:
:
* See the '''Radiation''' template on this page for numerous examples of radiation fluxes.
* The term "osmotic concentration" is also used.
:
:
* Note that "refraction_index" is an example of a quantity that really requires two objects to be specified, electromagnetic radiation or light of a particular wavelength and the medium that it is traveling through (e.g. air, water, vacuum). However, '''standard''' refractive index measurements (see [http://en.wikipedia.org/wiki/List_of_refractive_indices List of refractive indices]) are taken at the yellow doublet sodium D line, with a wavelength of 589 nanometers. So in CSDMS standard names the insertion of the adjective "standard" means that only one object, the medium, needs to be specified.  So "air_standard_refraction_index" would be a valid and unambiguous name, but an <assume> tag should be included in the Model Metadata File that specifies: "at_reference_wavelength_of_589_nm" (and maybe also "yellow_doublet_sodium_d_line_reference".)  We may also want to allow names such as "550_nm_light_in_air_refraction_index".
* See: [http://www.stanford.edu/group/Urchin/mineral.html "Mineral makeup of seawater"].
:
:
* See: [http://en.wikipedia.org/wiki/Absorbance Absorbance], [http://en.wikipedia.org/wiki/Albedo Albedo], [http://en.wikipedia.org/wiki/Amplitude Amplitude], [http://en.wikipedia.org/wiki/Electromagnetic_radiation Electromagnetic radiation], [http://en.wikipedia.org/wiki/Frequency Frequency],[http://en.wikipedia.org/wiki/Intensity_(physics) Intensity in physics],[http://en.wikipedia.org/wiki/Reflectance Reflectivity], [http://en.wikipedia.org/wiki/Refraction_index Refraction index], [http://en.wikipedia.org/wiki/Transmittance Transmittance], [http://en.wikipedia.org/wiki/Visible_radiation Visible radiation] and [http://en.wikipedia.org/wiki/Wavelength Wavelength].
* See: [http://en.wikipedia.org/wiki/Concentration Concentration], [http://en.wikipedia.org/wiki/Seawater Seawater] and [http://en.wikipedia.org/wiki/Sediment_transport Sediment transport].


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== {{ Bar Heading| text=Attributes of Sea Ice}} ==
== {{ Bar Heading| text=Conductance}} ==


&nbsp; quantity = attribute
&nbsp; base_quantity = "conductance" <br/>
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; "atmospheric_conductance"  [m s-1] <br/>
&nbsp; "bulk_atmospheric_conductance"  [m s-1] <br/>
&nbsp; "electrical_conductance"  [A V-1] <br/>
&nbsp; "fluid_conductance"  [m2 s-1] <br/>
&nbsp; "thermal_conductance"


&nbsp; ''Examples''
&nbsp; ''Examples''
  sea_ice__age
  snow__thermal_conductance
sea_ice__area
sea_ice__area_fraction  (vs. "sea_ice_concentration"; see Concentration)
sea_ice__emissivity
sea_ice__extent
sea_ice__thickness
sea_ice__volume


* What about "sea_ice_mass_balance" ? The term "mass_balance" is also used in glaciology but is confusing outside of that domain.
* Conductance is the reciprocal of resistance.
:
* Conductance is different from conductivity.  See Conductivity.
:
* The product of wind speed at a reference height and a bulk transfer coefficient is called the "bulk aerodynamic conductance" (of mass, momentum or heat). The reciprocal, "bulk aerodynamic resistance", is also used.  See Coefficient.
:
:
* The quantity "sea_ice_extent" is related to "sea_ice_area" but involves a "reference threshold" (as a percentage, usually 15%) that must be specified with an <assume> tag in a Model Metadata File.  See [http://en.wikipedia.org/wiki/Measurement_of_sea_ice Measurement of sea ice].  Also see Reference Quantities.
* Units cannot be determined from the "base quantity" name as shown above.
:
:
* See Concentration, Fraction and Thickness.
* See: [http://en.wikipedia.org/wiki/Electrical_resistance-and-conductance Electrical resistance and conductance], [http://en.wikipedia.org/wiki/Fluid_conductance Fluid conductance] and [http://en.wikipedia.org/wiki/Thermal_conductivity#Conductance Thermal conductance].


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== {{ Bar Heading| text=Attributes of Soil}} ==
== {{ Bar Heading| text=Conductivity}} ==


&nbsp; quantity = attribute
&nbsp; base_quantity = "conductivity" <br/>
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; "electrical_conductivity"  [siemens m-1] or [ohm-1 m-1] <br/>
&nbsp; "hydraulic_conductivity"  [m s-1] <br/>
&nbsp; "ionic_conductivity"  <br/>
&nbsp; "molar_conductivity" <br/>
&nbsp; "thermal_conductivity"    [W m-1 K-1]  (this is an intensive property; don't need to add "specific")


&nbsp; ''Examples''
&nbsp; ''Examples''
  land_surface_water__depth
  sea_water__electrical_conductivity
  land_surface_water__infiltration_rate
  snow__thermal_conductivity
 
  soil__saturated_hydraulic_conductivity
model_soil_layer_0__porosity
model_soil_layer_0__thickness
model_soil_layer_0__wetted_thickness
soil_active_zone__thickness
soil_air__volume_fraction    (not same as porosity)
soil__brooks_corey_b_parameter  (lambda = 1/b)
soil__brooks_corey_eta_parameter
soil__brooks_corey_lambda_parameter
soil__brooks_corey_smith_c_parameter
soil__brooks_corey_smith_pressure_head_offset  #####
soil_clay__volume_fraction
soil__freeze_depth  ###
soil_frozen_water__volume_fraction
soil__green_ampt_capillary_length  (denoted as G, or "length_scale" ??)
  ## (or "green_ampt_g_parameter")
soil_layer__thickness
soil_loam__volume_fraction
soil__mass_density
soil__porosity
soil__reference_depth_temperature
soil_sand__volume_fraction
soil_silt__volume_fraction
soil__smith_parlange_gamma_parameter
soil__specific_permeability  (function of medium only, not fluid)
soil_surface_water__baseflow_emergence_rate  (nonstandard, but unambiguous)
soil_surface_water__volume_fraction  (water content)
soil_surface_water__infiltration_rate
soil_surface_water__ponding_time
soil_surface_water__time_integral_of_infiltration_rate
soil__temperature
soil__temperature_reference_depth
soil__thaw_depth  ###
soil__thermal_capacity
soil__thermal_conductivity
soil__thickness
soil_water__air_dried_pressure_head
soil_water__bubbling_pressure_head  (or air_entry_pressure_head  ??)
soil_water__diffusivity
soil_water__effective_hydraulic_conductivity
soil_water__effective_saturated_hydraulic_conductivity
soil_water__effective_saturation    (same as "normalized_volume_fraction")
soil_water__field_capacity_pressure_head
soil_water__field_capacity_volume_fraction  (water content)
soil_water__hydraulic_conductivity    (function of medium and fluid)
soil_water__hygroscopic_pressure_head
soil_water__hygroscopic_volume_fraction  (water content)
soil_water__infiltrability  (fc, "potential_infiltration_rate"  ??)
soil_water__initial_volume_fraction      (water content)
soil_water__normalized_hydraulic_conductivity
soil_water__normalized_volume_fraction    (water content)
soil_water__oven_dried_pressure_head
soil_water__potential_infiltration_rate  (less standard term for fc = infiltrability)
soil_water__pressure_head
soil_water__relative_hydraulic_conductivity  (K/Ks)
soil_water__residual_volume_fraction      (water content)
soil_water__saturated_hydraulic_conductivity  (function of medium and fluid)
soil_water__saturated_volume_fraction
soil_water__sorptivity      ##### check
soil_water_table__depth
soil_water_table__recharge_rate  ####
soil_water__volume_fraction
soil_water_wetting_front__depth  #####
soil_water__wilting_point_pressure_head
soil_water__wilting_point_volume_fraction
soil_water__x_component_of_darcy_velocity    (darcy_velocity = specific_discharge, macroscopic = volume flux)
soil_water__y_component_of_darcy_velocity
soil_water__z_component_of_darcy_velocity
soil__van_genuchten_alpha_parameter
soil__van_genuchten_m_parameter
soil__van_genuchten_n_parameter
  soil__void_ratio  (not same as porosity)


* The quantity name '''''darcy_velocity''''' is used for the volume flux that is otherwise known as the '''''specific discharge'''''.  Freeze and Cherry (1979) mention both names, but emphasize the latter in order to make a clear distinction between it and the microscopic fluid velocity within pores.  It has units of velocity and in the general case is modeled as a (macroscopic) three-dimensional velocity field (i.e. 3 components).  Retaining the adjective "darcy" serves as a reminder of its origins and macroscopic nature.
* Units cannot be determined from the "base quantity" name as shown above.
:
:
* The quantity name '''''volume_fraction''''' is used instead of the more standard term '''''water content'''''By keeping the word "water" in the (compound) object name "soil_water" and out of the quantity name, we maintain consistency with other standard names"Volume_fraction" is also more self-explanatory.
* Hydraulic conductivity can depend on coordinate direction unless the soil is assumed to be isotropicWhen applicable, include an <assume> tag in the Model Metadata File with the standard assumption name: "isotropic_medium".  See [[CSN_Assumption_Names | CSDMS Assumption Names]] for more information.
:
:
* The quantity name '''''potential_infiltration_rate''''' is used instead of the alternate name '''''infiltrability''''' since it is the max possible infiltration rate.
* "Relative hydraulic conductivity" is the ratio of (K / K_sat). See Smith (2002).
:
:
* The quantity name '''''baseflow_emergence_rate''''' is used instead of "baseflow_seepage_rate" since the word '''''seepage''''' leaves ambiguity as to whether the flow is into the surface or out of the surface.
* See: [http://en.wikipedia.org/wiki/Electrical_conductivity Electrical conductivity], [http://en.wikipedia.org/wiki/Hydraulic_conductivity Hydraulic conductivity], [http://en.wikipedia.org/wiki/Ionic_conductivity Ionic conductivity], [https://en.wikipedia.org/wiki/Molar_conductivity Molar conductivity] and [http://en.wikipedia.org/wiki/Thermal_conductivity Thermal conductivity].


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== {{ Bar Heading| text=Attributes of Topography}} ==
== {{ Bar Heading| text=Constants in Math}} ==
 
&nbsp; quantity = attribute <br/>
&nbsp; quantity = "aspect_angle"          (aspect is not used by itself) <br/>
&nbsp; quantity = "elevation" <br/>
&nbsp; quantity = "laplacian_curvature" <br/>
&nbsp; quantity = "mean_curvature" <br/>
&nbsp; quantity = "plan_curvature" <br/>
&nbsp; quantity = "profile_curvature" <br/>
&nbsp; quantity = "slope"      [unitless = rise/run = L/L] <br/>
&nbsp; quantity = "slope_angle"        [radians or degrees] <br/>
&nbsp; quantity = "specific_contributing_area" <br/> 
&nbsp; quantity = "streamline_curvature" <br/>
&nbsp; quantity = "tangential_curvature" <br/>
&nbsp; quantity = "total_contributing_area"


&nbsp; base_quantity = "constant" <br/>
&nbsp; "math_" + constant_name + "_constant"
&nbsp; ''Examples''
&nbsp; ''Examples''
  bedrock_surface__elevation
  math__catalan_constant
  bedrock__uplift_rate
  math__chaitin_constant
  domain_boundary__lowering_rate
  math__conway_constant
  glacier_surface__elevation
  math__e_constant                (or math_euler_e_constant ??)
glacier_surface__slope
  math__euler_gamma_constant
ground_water_table_surface__aspect_angle
  math__feigenbaum_alpha_constant
  math__feigenbaum_delta_constant
land_surface__aspect_angle  # (angle of reverse gradient vector)
  math__golden_ratio_constant
  land_surface__elevation
  math__googol_constant
land_surface__elevation_increment
  math__khinchin_constant
  land_surface__initial_elevation
  math__pythagoras_constant   (= square root of 2)
  land_surface__laplacian_curvature
  math__sierpinski_constant
  land_surface__max_of_elevation
  math__twin_prime_constant
  land_surface__max_of_elevation_increment
  math__pi_constant
  land_surface__mean_curvature
  land_surface__min_of_elevation
land_surface__min_of_elevation_increment
land_surface__plan_curvature
land_surface__profile_curvature
land_surface__slope
land_surface__slope_angle
land_surface__specific_contributing_area   (measured by D8, D-inf, etc.)
  land_surface__streamline_curvature
land_surface__tangential_curvature
land_surface__time_derivative_of_elevation
land_surface__total_contributing_area  (measured by D8, D-inf., etc.)
land_surface__x_component_of_gradient_of_elevation
land_surface__y_component_of_gradient_of_elevation
land_surface__x_component_of_gradient_of_slope
land_surface__y_component_of_gradient_of_slope
land_surface__x_derivative_of_elevation
land_surface__y_derivative_of_elevation
 
sea_water_surface__elevation
  sea_water_surface__mean_curvature
  sea_water_surface__slope


* Note that many of these quantities are defined in terms of first or second derivatives, which requires a certain degree of smoothness (differentiable or twice differentiable). Real topography is generally not this smooth, especially at small scales, but these quantities are nevertheless useful and can be computed from DEMs.  In the CSDMS Standard Names, the '''Object_name + Model_name Pattern''' indicates that the word "surface" should be inserted in front of the quantity name when the quantity is only defined for some kind of idealized "model" surface.  See the Surface template.
* This includes numbers like "pi", "phi" and "e".  See [http://en.wikipedia.org/wiki/Mathematical_constant Wikipedia: Mathematical constant] for a table with numerous examples.
:
:
* "Specific contributing area" (SCA) is a quantity that can be defined for each point on a mathematical surface as the (upstream) contributing area per unit contour length.  "Total contributing area" (TCA) is a quantity obtained from integrating SCA over a line segment, such as the width of a grid cell projected in the direction of the surface gradient.  The relationship between TCA and SCA is similar to that between water discharge (Q) and unit-width water discharge (q).
* These numbers are not a quantity associated with an object like our others so we have used "math" as a placeholder object. Note that one model may want to check the number of significant digits of a math constant (like pi) that are used in another model, for example.
:
:
* "contour curvature" is a synonym for "plan curvature". "streamline curvature" is not well-known. See: [http://www.geomorphometry.org/Peckham2011a Peckham (2011)].
* phi = 1.61803... is known as the [http://en.wikipedia.org/wiki/Golden_ratio golden ratio].
:
:
* See: [http://en.wikipedia.org/wiki/Aspect_(geography) Aspect], [http://en.wikipedia.org/wiki/Bathymetry Bathymetry], [http://en.wikipedia.org/wiki/Curvature Curvature], [http://en.wikipedia.org/wiki/Drainage_basin Drainage basin], [http://en.wikipedia.org/wiki/Elevation Elevation], [http://en.wikipedia.org/wiki/Geomorphometry Geomorphometry],  [http://en.wikipedia.org/wiki/Slope Slope] and [http://en.wikipedia.org/wiki/Topography Topography].
* See the Dimensionless Number template.
:
* There is an international society called: [http://www.geomorphometry.org geomorphometry.org] that meets every two years.


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== {{ Bar Heading| text=Attributes of a Water Tank}} ==
== {{ Bar Heading| text=Constants in Physics}} ==


&nbsp; quantity = attribute
&nbsp; base_quantity = "constant"


&nbsp; ''Examples''
&nbsp; ''Examples''
  atmosphere_water__precipitation_duration
  air__dielectric_constant  [1]            (can be complex) 
  atmosphere_water__liquid-equivalent_precipitation_rate
  earth__solar_constant              [W m-2]        (solar_irradiation_constant may be better)
  tank_horizontal-cross-section__area
  earth__standard_gravity_constant  [m s-2]  ("little g", see Attributes of Planets template)
  tank_horizontal-cross-section__radius
  tank_outlet_cross-section__area
physics__atomic_mass_constant    [kg]  (about 1.660538921e-27)
  tank_outlet_water__flow_speed
  physics__avogadro_constant          [unit mol-1]  (see Note below)
  tank_water__depth
  physics__bohr_radius_constant  [m]  (about 5.2917721092e-11)
  tank_water__initial_depth
  physics__boltzmann_constant        (See ideal_gas_constant)
  tank_water__volume
  physics__cosmological_constant      [m-2]  (about 10^{-52};  object = universe)
 
  physics__coulomb_constant            [N m2 C-2]    (C = Coulomb SI unit) 
* One of the BMI examples is for a simple model of a cylindrical water tank with an open top that can receive rainfall and a smaller outlet that the water drains from.
  physics__elementary_charge_constant    [C]    (charge of a proton and > 0; -1 times charge of an electron) 
 
physics__fine_structure_constant    [1]            (about 1/137.035999074)
* A word like "rainwater_tank", "storage_tank" or "rain_barrel" might be better than "tank", which has alternate meanings.
physics__first_radiation_constant  [W m2]  (for a black body)
 
physics__gravitational_coupling_constant    [1]        (about 1.7518e-45)
<br/>
physics__hartree_energy_constant    [J]
<!-- ============================================= -->
physics__ideal_gas_constant          [J mol-1 K-1]  (R = 8.3144621)
 
physics__planck_constant            [J s]  (h = 6.62606957e-34)
== {{ Bar Heading| text=Capacity}} ==
physics__planck_charge_constant [C]  (about 1.875545956e-18)
 
physics__planck_length_constant [m]    (about 1.616199e-35)
&nbsp; base_quantity = "capacity" <br/>
physics__planck_mass_constant    [kg]  (about 2.17651e-8)
&nbsp; base_quantity = "carrying_capacity" <br/>
physics__planck_temperature_constant [K]  (about 1.416833e+32)
&nbsp; base_quantity = "thermal_capacity"
physics__planck_time_constant  [s]  (about 5.39106e-44)
physics__reduced_planck_constant
physics__rydberg_constant            [m-1]
physics__second_radiation_constant  [m K]  (for a black body)
physics__stefan_boltzmann_constant  [W m-2 K-4]
physics__universal_gravitation_constant  [m3 kg-1 s-2]  ("big G", from Newton's law; or just "gravitational_constant")
physics__vacuum_electric_permittivity_constant  [F/m]  (also called "electric constant")
physics__vacuum_impedance_constant  [ohms]  (about 376.73031)
physics__vacuum_light_speed_constant        [m s-1]    (put "vacuum" in the object part ??)  ##########
physics__vacuum_magnetic_permeability_constant  [N A-2] or [H m-1]  (also called "magnetic constant")
physics__von_karman_constant        [1]


&nbsp; ''Examples''
* If there is no naturally-associated object, the object name "physics" can be used as a placeholder object name.  In some cases we could use "universe" or "vacuum" as the object name.
air__thermal_capacity
:
  aluminum__specific_thermal_capacity
* Although "latent heat of fusion" and "latent heat of vaporization" are constants for a given substance (e.g. water), they have the following CSDMS standard names:
  earth_human__carrying_capacity    (need to specify two objects ??)
  water__mass-specific_latent_fusion_heat          (334 [kJ kg-1])
  iron__thermal_capacity
  water__mass-specific_latent_vaporization_heat    (2500 [kJ kg-1])
snow__thermal_capacity
:Note that "specific_latent_heat" is a quantity name so the quantity name part of these examples conforms to the '''Process_name + Quantity Pattern'''.  See the template for Heat and  [http://en.wikipedia.org/wiki/Latent_heat Latent heat].
  soil__thermal_capacity
:
 
* The modern name for "Avogadro's number" is the "avogadro_constant". (See [http://en.wikipedia.org/wiki/Avogadro_constant Avogadro constant].) It has units and is equal to: 6.02214129(27)x10^{23} [mol-1]  or [unit mol-1]
* The more general quantity "thermal_capacity" is used instead of "heat_capacity".
:
* The speed of light depends on the medium it is traveling through. In a vacuum, v = c = 299,792,458 [m s-1]. In other materials, v = (c / n), where n > 1 is the ''refraction index''. For visible light in air, n is about 1.0003. So an unambiguous standard name should indicate the medium and the wavelength range in the object name. Since the medium that the light is traveling through matters, we use the '''Object-in-object Quantity Pattern''' to create standard names such as: "visible_light_in_air_speed".
:
* The speed of light in a vacuum is a constant that is independent of wavelength. Perhaps we should give it the standard name "light_in_vacuum_speed_constant" which follows the '''Object-in-object Quantity Pattern'''.
:
* The "universal gravitational constant' appears in Newton's Law of Gravitation and is denoted as G (big G).  It has units of [m3 kg-1 s-2].  The "Earth gravitational constant" is more correctly called the "Earth standard gravity constant". It is the average free-fall acceleration of Earth's gravitational field near the surface of the Earth and is denoted as g (little g).  Even though it varies with position on Earth, it is defined to be precisely 9.80665 [m s-2] (an average value).  See: [http://en.wikipedia.org/wiki/Standard_gravity Standard gravity] and [http://en.wikipedia.org/wiki/Gravity_of_Earth Gravity of Earth].
:
:
* Aluminum, copper, cast iron and stainless steel cookware are often compared in terms of their thermal conductivity (how well they conduct heat) and thermal capacity (how well they retain heat).  See: [http://en.wikipedia.org/wiki/Cookware_and_bakeware Cookware and bakeware].
* While the coefficient in Hooke's law is often called the '''''spring constant''''', we instead use ''''spring~steel__hooke_law_coefficient''''' for consistency with coefficients in other empirical laws.
:
:
* The term "carrying_capacity" follows the '''Process_name + Quantity Pattern''' and is the maximum population size for a given ecosystem. See: [http://en.wikipedia.org/wiki/Carrying_capacity Carrying capacity].
* In meteorology, the ratio of the ideal gas constant, R, and the isobaric mass-specific heat capacity, cp, is called the '''Poisson constant'''.  It is used in the definition of potential temperature.
:
:
* Other quantities that contain "capacity" are: [http://en.wikipedia.org/wiki/Battery_capacity#Battery_capacity_and_discharging battery capacity], [http://en.wikipedia.org/wiki/Channel_capacity channel capacity] and [http://en.wikipedia.org/wiki/Combining_capacity combining capacity].
* See: [http://en.wikipedia.org/wiki/Boltzmann_constant Boltzmann constant], [http://en.wikipedia.org/wiki/Coulomb_constant Coulomb constant], [http://en.wikipedia.org/wiki/Elementary_charge Elementary charge], [http://en.wikipedia.org/wiki/Fine_structure_constant Fine-structure constant], [http://en.wikipedia.org/wiki/Gravitational_coupling_constant Gravitational coupling constant], [http://en.wikipedia.org/wiki/Gas_constant Ideal gas constant],[http://en.wikipedia.org/wiki/Planck_constant Planck constant], [http://en.wikipedia.org/wiki/Psychrometric_constant Psychrometric constant],[http://en.wikipedia.org/wiki/Rydberg_constant Rydberg constant], [http://en.wikipedia.org/wiki/Stefan–Boltzmann_constant Stefan-Boltzmann constant], [http://en.wikipedia.org/wiki/Gravitational_constant Universal gravitational constant], [http://en.wikipedia.org/wiki/Vacuum_permittivity Vacuum electric permittivity], [http://en.wikipedia.org/wiki/Vacuum_permeability Vacuum magnetic permeability] and [http://en.wikipedia.org/wiki/Von_Kármán_constant von Karman constant].
:
:
* There are 4 CF Standard Names that contain "capacity", namely "soil_thermal_capacity" and 3 others that contain the phrase "at_field_capacity" and refer to soil moisture. The coresponding CSDMS standard name is:  "soil_field_capacity_water_content". See the Soil template on the [[CSN_Object_Templates | '''CSDMS Object Templates''']] page for more information.
* See: [http://en.wikipedia.org/wiki/Physical_constant Physical constant].


<br/>  
<br/>  
<!-- ============================================= -->
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== {{ Bar Heading| text=Charge}} ==


&nbsp; base_quantity = "charge"     [C = Coulombs, SI unit]
== {{ Bar Heading| text=Content}} ==
 
&nbsp; base_quantity = "content" <br/>
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; "energy-per-area_cold_content" <br/>
&nbsp; "energy_content" <br/>
&nbsp; "mass_content" <br/>
&nbsp; "volume_content"


&nbsp; ''Examples''
&nbsp; ''Examples''
  electron__electric_charge
  coal__thermal_energy_content
gasoline__thermal_energy_content
snowpack__energy-per-area_cold_content  ?  (See Note below.)
wood~dry__thermal_energy_content 


* The total electric charge is a fundamental conserved quantity of an isolated system.
* The word "content" refers to the "amount contained within".  It is therefore naturally associated with two objects and the '''Object-in-object Quantity Pattern'''.
:
* In the CF Standard Names, the term "content" is taken to mean an "amount per unit area", usually determined as a z-integral from the bottom to the top of the atmosphere of a mass or volume fraction.  (e.g. CF has "soil_moisture_content", "soil_moisture_content_at_field_capacity" and "soil_carbon_content".)  However, in other contexts it means an amount per unit volume, as in the term "water_content" from infiltration theory, which is a volume fraction.  See [http://en.wikipedia.org/wiki/Water_content Water Content].
:
* While soil "water content" is a fairly standard term in hydrology (infiltration theory), the CSDMS Standard Names use "volume_fraction" instead since it is less ambiguous, provides the definition, applies equally well to other objects like clay and sand,  and keeps the word "water" in the object part of the name.  See Attributes of Soil at [[CSN_Examples | CSDMS Standard Name Examples]].  However, it might be better to retain the word "content" for easy recognition (since "water content" is so widely used, and then use "volume_content" and "mass_content" instead of "volume_fraction" and "mass_fraction".  Sometimes the terms ''gravimetric water content'' and ''volumetric water content''  are also used.
:
* The quantity "thermal_energy_content" is used in the context of fuels like coal, gas and wood, to indicate the amount of useful energy that can be extracted.
:
:
* Electric charge is ''quantized'', that is, it comes in multiples of the the charge of an electron, called the ''elementary charge'', denoted as "e".  The charge of a quark is 1/3 of this valueElectric charge also carries a sign; protons and electrons have charges of e and -e.
* The quantity "cold_content" is used in snow hydrology to describe the "energy deficit" that must be overcome before melting starts to occur.  It is expressed as energy per unit area [J m-2]. This deficit results in an observed time lag between when the temperature is raised above the melting point to when snow actually begins to melt.  It involves the concept of "latent heat of fusion" -- the (originally mysterious) amount of heat energy that must be added to a solid material before there is any change in its temperature. (See: [http://en.wikipedia.org/wiki/Latent_heat Latent heat].  In the CF Standard Names, the term "thermal_energy_content_of_surface_snow" is used, apparently to mean "cold_content".  However, a Google search on "thermal energy content of snow" only returns 2 hits, and these are from the CF namesNote that "cold_content" is negative and "thermal_energy_content" is typically positive.
:
:
* See: [http://en.wikipedia.org/wiki/Electric_charge Electric charge] and [http://en.wikipedia.org/wiki/Elementary_charge Elementary charge].
* Many [http://cfconventions.org/Data/cf-standard-names/27/build/cf-standard-name-table.html CF Standard Names] contain the base quantity "content".  The following list shows the number, in parentheses, or each use pattern:
 
carbon_content [kg m-2]  (14)
energy_content [J m-2]  (25)  e.g. "thermal_energy_content_of_surface_snow"
enthalpy_content [**********] (4)
heat_content [J m-2]  (2)
ice_content [kg m-2]  (2)
mass_content [kg m-2]  (235)
moisture_content [kg m-2] or [m]  (6)
number_content [m-2]  (7)
ozone_content [Pa] or [m]  (2)
soot_content [kg m-2]  (1)
sulfate_content [kg m-2]  (1)
vapor_content [kg m-2] (14)  (most are "tendencies")
water_content [kg m-2] (16)
 
: We may therefore have a conflict with "water_content" unless it is resolved by the object part.


<br/>  
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== {{ Bar Heading| text=Circulation}} ==


&nbsp; base_quantity = "circulation"
== {{ Bar Heading| text=Coordinate}} ==
 
&nbsp; base_quantity = "coordinate"


&nbsp; ''Examples''
&nbsp; ''Examples''
airfoil_enclosing-curve__circulation
alongshore_coordinate (oriented along and based on a shoreline; similar to sigma coordinates)
 
cross-shore_coordinate (off-shore and on-shore directions)
* In fluid dynamics, circulation is the line integral of a velocity field around a closed curve. If not otherwise specified, that closed curve is taken to enclose the object in the object part of the name (i.e. in a CSDMS Standard Name). The closed curve is also assumed to lie wholly within the "potential flow" region and not in the boundary layer close to the boundary of the airfoil/object.
 
cross-stream_coordinate (oriented along and based on a stream centerline)
streamwise_coordinate  (upstream and downstream directions)
 
east_coordinate  (for a model; if not same as longitude)
west_coordinate
north_coordinate (for a model; if not same as latitude)
south_coordinate
r_coordinate    (Cylindrical and Spherical coordinates, with azimuth_angle and elevation_angle)
 
  u_coordinate  (e.g. orthogonal curvilinear coordinate systems)
v_coordinate    (e.g. orthogonal curvilinear coordinate systems)
 
x_coordinate  (Cartesian coordinates)
y_coordinate  (Cartesian coordinates)
z_coordinate  (Cartesian coordinates)
 
* Note that Geographic coordinates use '''latitude''' (north-south coordinate), '''longitude''' (east-west coordinate) and '''elevation''' (vertical coordinate).  These are treated as standard base quantity names in the CSDMS Standard Names.  See: [http://en.wikipedia.org/wiki/Geographic_coordinate_system Geographic coordinates].
:
* For spherical coordinates, we would usually use "azimuth_angle" and "elevation_angle" instead of "theta_coordinate" and "phi_coordinate".  But perhaps the latter should also be allowed.
:
* The terms "normal_coordinate" and "tangential_coordinate" are also used in some contexts.
:
:
* We could also use something like: "airfoil" + "closed_line_integral_of_velocity"
* See: [http://en.wikipedia.org/wiki/Barycentric_coordinates_(astronomy) Barycentric coordinates] (astronomy), [http://en.wikipedia.org/wiki/Barycentric_coordinate_system Barycentric coordinates] (for a triangle or other simplex), [http://en.wikipedia.org/wiki/Canonical_coordinates Canonical coordinates], [http://en.wikipedia.org/wiki/Coordinate_system Coordinate system], [http://en.wikipedia.org/wiki/Fermi_coordinates Fermi coordinates], [http://en.wikipedia.org/wiki/Fractional_coordinates Fractional coordinates] (crystallography), [http://en.wikipedia.org/wiki/Galilean_transformation Galilean transformation], [http://en.wikipedia.org/wiki/Generalized_coordinates Generalized coordinates], [http://en.wikipedia.org/wiki/Isothermal_coordinates Isothermal coordinates], [http://en.wikipedia.org/wiki/Normal_coordinates Normal coordinates] (from differential geometry) and [http://en.wikipedia.org/wiki/Sigma_coordinate_system Sigma coordinate system] (also called terrain-following).
:
:
* See: [http://en.wikipedia.org/wiki/Circulation_(fluid_dynamics) Circulation].
* See the section for Components above, where the same prefixes are used. In fact, instead of using "coordinate" as a base quantity, it would be possible to use "position", which is a vector quantity, similar to velocity. Then we could use "x_component_of_position" instead of "x_coordinate", etc. just as we use "x_component_of_velocity".  Note that while the components of a position vector are called "coordinates", there is no similar, short term for the components of a velocity vector.


<br/>  
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== {{ Bar Heading| text=Code}} ==
== {{ Bar Heading| text=Correlation}} ==


&nbsp; base_quantity = "code"
&nbsp; base_quantity = "correlation"


&nbsp; ''Examples''
&nbsp; ''Examples''
  location__postal_code    (See: [http://en.wikipedia.org/wiki/Postal_code Postal code].)
  (None yet)
watershed__pfafstetter_code
watershed__usgs_hydrologic_unit_code


* For hydrologic features such as rivers, unique identification numbers such as the [http://en.wikipedia.org/wiki/United_States_Geological_Survey USGS]  [http://en.wikipedia.org/wiki/Hydrological_code Hydrologic Unit Code] (or "HUC number") and Pfafstetter Code are used.
* Note that correlations require two quantities to be specified, which is similar to certain other quantities such as Partial Pressure and Solubility.
:
:
* Codes sometimes include both numbers and letters.
* Although the Guidelines for Constructing CF Standard Names includes a provision for correlations as the transformation pattern: "correlation_of_X-and-Y_over_Z", there are currently no examples of CF Standard Names that contain "correlation". The same is true for "covariance" and "convergence". There are only three names with "divergence".
:
 
* See Number.
 
<br/>  
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== {{ Bar Heading| text=Count}} ==


== {{ Bar Heading| text=Coefficient}} ==
&nbsp; base_quantity = "count" <br/>
 
&nbsp; ''Examples of Related Quantities:'' <br/>
&nbsp; base_quantity = "coefficient"
&nbsp; "number_concentration" (count per volume)


&nbsp; ''Examples''
&nbsp; ''Examples''
  airfoil__drag_coefficient
  basin_rain-gauge__count
  airfoil__lift_coefficient
  human_blood_cell~platelet__number_concentration  [count / microliter]
atmosphere__beer_lambert_attenuation_coefficient
  human_blood_cell~red__number_concentration
iron__thermal_expansion_coefficient
  human_blood_cell~white__number_concentration
channel_bed__manning_coefficient
  lake_water_fish_sample__count
glacier__glen_law_coefficient
  mars_moon__count
math__binomial_coefficient    (See Constants in Math)
  model_grid_column__count
polynomial__leading_coefficient
  rubber_on_concrete__kinetic_friction_coefficient
  rubber_on_pavement__static_friction_coefficient
  salt_in_water__diffusion_coefficient  ####
steel_spring__hooke_law_coefficient    [kg s-2]    (the "spring constant" in Hooke's law)
  watershed__flint_law_coefficient
  watershed__hack_law_coefficient


* Note that some of these use the '''Object-in-object Quantity Pattern''' and many others use the '''Process_name + Quantity Pattern''' (e.g. "expansion_coefficient").
* This quantity name is sometimes used when the attribute being quantified can only take non-negative integer values, as in the examples above.  The word "count" is preferable to "number", since a "number" doesn't need to be an integer and is used as a root quantity for dimensionless numbers (e.g. Reynold's number).  However, "count concentration" is not typically used, so we use "number concentration" in that case.
:
:
* Coefficients often occur in empirical laws, usually as a multiplicative factor to one of the other variables in an equation.   
* In the case of blood cell counts, the units are usually a number per volume (e.g. number per microliter).  See: [http://en.wikipedia.org/wiki/Blood_cell_count Blood cell count].  Once units are specified (e.g. in a Model Coupling Metadata (MCM) file), then "number_concentration" is unambiguousIs a platelet technically considered to be a type of blood cell?
:
:
* A "bulk exchange coefficient" for water vapor or heat (e.g. in the atmosphere) is sometimes used.  This appears to be a synonym for "transfer coefficient", which can be applied to mass, momentum or heat transfer.  See: [http://en.wikipedia.org/wiki/Heat_transfer_coefficient Heat transfer coefficient] and [http://en.wikipedia.org/wiki/Mass_transfer_coefficient Mass transfer coefficient].  It is essentially a diffusion coefficient that is associated with the interface between a fluid and a solid/boundary or between two fluidsTransfer coefficients are associated with boundary layers in fluids and are sometimes computed using the logarithmic law of the wall.  The adjectives "bulk" and "overall" are frequently added, as in "overall heat transfer coefficient".  A mass transfer coefficient has SI units of [m s-1] while a heat transfer coefficient has SI units of [W m-2 K-1].
* The "Wolman pebble count" due to [http://webapps.jhu.edu/jhuniverse/featured/reds_wolman/ M. Gordon "Reds" Wolman] is sometimes used in river hydraulics and sediment transportHowever, the goal of this procedure is to estimate the mean diameter of the pebbles on the stream bed, so the actual "count" (usually 100) is not of primary interest.
:
:
* In the book, "Hydrology: An Introduction" by Brutsaert (2005, p. 41), the transfer coefficients for mass, momentum and heat are defined as dimensionless numbers and denoted as: Ce, Cd and Ch.  Ce is also called the Dalton number (for water vapor).  Cd is also called the "drag coefficient". Ch is also called the [http://en.wikipedia.org/wiki/Stanton_number Stanton number].
* The "diatom count" of a sample may be another example; are the units then the same as "abundance"? (e.g. "sediment_core_diatom_relative_abundance" ?)
:
:
* "Manning's coefficient" is sometimes called "Manning's roughness coefficient" or "Manning's roughness parameter" or something similar.  The word "roughness" is not needed to remove ambiguity, howeverManning's n is still usually referred to as a coefficient even though it appears in the denominator (i.e. its inverse is the multiplicative factor).
* The number of occurrences of a given event may also be called a "count".  (e.g. Geiger counters)
:
:
* The terms "attenuation_coefficient" and "attenuation_factor" are both used but they refer to different quantities associated with the '''Beer-Lambert Law'''. The "attenuation_coefficient" is a parameter in the Beer-Lambert law with units of inverse length. When applied to gases in the atmosphere,  dimensionless quantities called "optical air mass" and "optical depth" are instead used in the exponential.  "Attenuation factor " is apparently a synonym for "transmittance", which is the ratio of emitted to incident radiation, I(x)/I(0), a positive number less than 1.  See: [http://en.wikipedia.org/wiki/Absorbance Absorbance], [http://en.wikipedia.org/wiki/Airmass Air mass],[http://en.wikipedia.org/wiki/Attenuation_coefficient Attenuation coefficient],[http://en.wikipedia.org/wiki/Beer–Lambert_law Beer-Lambert Law], [http://en.wikipedia.org/wiki/Optical_depth Optical depth] and [http://en.wikipedia.org/wiki/Transmittance Transmittance].
* See [http://en.wikipedia.org/wiki/Count_data Count data] and the Number template.
:
* See: [http://en.wikipedia.org/wiki/Attenuation_coefficient Attenuation coefficient],  [http://en.wikipedia.org/wiki/Ballistic_coefficient Ballistic coefficient], [http://en.wikipedia.org/wiki/Binomial_coefficient Binomial coefficient], [http://en.wikipedia.org/wiki/Coefficient Coefficient], [http://en.wikipedia.org/wiki/Drag_coefficient Drag coefficient], [http://en.wikipedia.org/wiki/Friction Friction], [http://en.wikipedia.org/wiki/Heat_transfer_coefficient Heat transfer coefficient], [http://en.wikipedia.org/wiki/Lift_coefficient Lift coefficient], [http://en.wikipedia.org/wiki/Manning_formula Manning formula], [http://en.wikipedia.org/wiki/Mass_diffusivity Mass diffusivity], [http://en.wikipedia.org/wiki/Mass_transfer_coefficient Mass transfer coefficient], [http://en.wikipedia.org/wiki/Partition_Coefficient Partition coefficient], [http://en.wikipedia.org/wiki/Reflection_coefficient Reflection coefficient], [http://en.wikipedia.org/wiki/Skin_friction#Skin_friction Skin friction coefficient], [http://en.wikipedia.org/wiki/Thermal_expansion Thermal expansion] and [http://en.wikipedia.org/wiki/Transmission_coefficient_(physics) Transmission coefficient].
:
* See Constant, Exponent, Factor, Index, Number and Parameter.
:
* See Friction.


<br/>  
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== {{ Bar Heading| text=Component}} ==
== {{ Bar Heading| text=Current}} ==


&nbsp; quantity = [ direction adjective(s) ] + "_component_of_" +  [ vector quantity ]
&nbsp; base_quantity = "current" <br/>
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; "electrical_current"


&nbsp; ''Examples''
&nbsp; ''Examples''
  atmosphere__eastward_component_of_velocity
  None yet.
atmosphere__northward_component_of_vorticity
channel_water__x_component_of_velocity
sea_water__downward_eastward_component_of_shear_stress


* Components of vectors and tensors are constructed using coordinate-direction adjectives and the "component_of" operation, as shown in the examples above.
* An electric current is a flow of charge, with an SI unit of "amperes" (i.e. "coulombs per second").
:
* The coordinate-direction adjectives are:  eastward, westward, northward, southward, x, y, z, upward, downward, offshore, longshore, cross_stream and downstream. Two coordinate-direction adjectives are needed for a component of "shear_stress".
:
* See Stress, Velocity and Vorticity.
:
:
* This was changed from a "quantity suffix" to a vector operation on 2/7/13. See [[CSN_Operation_Templates | '''CSDMS Operation Templates''']].
* See: [http://en.wikipedia.org/wiki/Electric_current Electric current].


<br/>  
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== {{ Bar Heading| text=Concentration}} ==
== {{ Bar Heading| text=Curvature}} ==
:
&nbsp; base_quantity = "curvature" <br/>
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; "gaussian_curvature" <br/>
&nbsp; "mean_curvature" <br/>
&nbsp; "max_normal_curvature" (a principle curvature) <br/>
&nbsp; "min_normal_curvature" (a principle curvature) <br/>
&nbsp; "plan_curvature" <br/>
&nbsp; "profile_curvature" <br/>
&nbsp; "streamline_curvature" <br/>
&nbsp; "tangential_curvature" <br/>


&nbsp; base_quantity = "concentration" <br/>
&nbsp; ''Examples''
&nbsp; quantity = "mass_concentration"    [kg m-3] <br/>
land_surface__plan_curvature
&nbsp; quantity = "molar_concentration"    [mol m-3] (molarity) <br/>
  land_surface__profile_curvature
&nbsp; quantity = "number_concentration"  [m-3] <br/>
&nbsp; quantity = "volume_concentration"  [1] = [m3 / m3]


&nbsp; ''Examples''
* Curvatures can be defined for surfaces that are twice-differentiable. In reality, natural surfaces are rough but they can be approximated as twice-differentiable surfaces.
  channel_water_suspended_sediment__mass_concentration
:
magnesium_chloride_in_sea_water__molar_concentration
* Plan curvature (or "contour curvature"), profile curvature and streamline curvature are used in [http://en.wikipedia.org/wiki/Geomorphometry geomorphometry], the analysis of land surfaces or topography.
sea_water_suspended_sediment__mass_concentration
 
* There are four main types of concentration, shown above, and they all have different units.
:
:
* The quantity "concentration" is always associated with two substances (objects) so we use the '''Object-in-object Quantity Pattern'''.
* See Attributes of Topography and Attributes of Oceans on the [[CSN_Examples | Examples]] page.
:
:
* '''''Molality''''' is a related concept with SI units of [mol kg-1].
* Curvature can also be defined for curves, such as coastline curves and space curves (or trajectories).
:
:
* '''''Mass fraction''''' and '''''mole fraction''''' are both dimensionless ratios.
* See: [http://en.wikipedia.org/wiki/Curvature Curvature], [http://en.wikipedia.org/wiki/Geomorphometry Geomorphometry] and [http://en.wikipedia.org/wiki/Radius_of_curvature_(mathematics) Radius of curvature].
 
<br/>
<!-- ============================================= -->
 
== {{ Bar Heading| text=Density}} ==
 
&nbsp; base_quantity = "density" <br/>
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; "bits-per-area_density"  <br/>
&nbsp; "bulk_mass-per-volume_density"  <br/>
&nbsp; "charge-per-area_density" <br/>
&nbsp; "current-per-area_density" [A m-2]  (known as "current density") <br/>
&nbsp; "energy-per-area_density"  [J m-2] <br/>
&nbsp; "energy-per-volume_density"  [J m-3] <br/>
&nbsp; "length-per-area_density" [m-1] <br/>
&nbsp; "mass-per-area_density" [kg m-2] <br/>
&nbsp; "mass-per-volume_density"  [kg m-3] <br/>
&nbsp; "number-per-area_density" [m-2] <br/>
&nbsp; "number-per-volume_density" [m-3]<br/>
&nbsp; "particle_mass-per-volume_density"  <br/>
&nbsp; "power-per-length_density" [W m-1]  (used for ocean wave crests) <br/>
&nbsp; "power-per-area_density" [W m-2]  (known as "surface power density") <br/>
&nbsp; "power-per-volume_density" [W m-3] <br/>
&nbsp; "torque-per-volume_density" [N m / m-3] = [N m-2]
 
&nbsp; ''Examples''
atmosphere_air__mass-per-volume_density
atmosphere_air__mass-per-volume_density  (stp = standard temperature and pressure)
basin_channels__total-length-per-area_density  (known as "drainage_density")
universe~friedmann__critical_h-atom-per_volume_density
sea_water__mass-per-volume_density
 
* The word '''density''' usually refers to the amount of something within a fixed amount of space.  The "amount of space" could be 1D (line), 2D (area) or 3D (volume).  For greater clarity (and to avoid ambiguity), standard quantity names like ''mass-per-volume_density'' and the others listed above are used in the CSDMS Standard Names.  Similar issues occur for Concentration (see section by that name).  Also see the section for Flux.
:
:
* '''''Mass ratio''''' and '''''mole ratio''''' are also dimensionless ratios and are considered "mixing ratios".  See: [http://en.wikipedia.org/wiki/Mixing_ratio Mixing ratio].
* The quantity name [http://en.wikipedia.org/wiki/Bulk_density '''Bulk density'''] refers to the mass of many particles (e.g. sediment grains) divided by the volume that they occupy.  For clarity, here we use "bulk_mass-per-volume_density".
:
:
* "Molar concentration" is also called "molarity". See: [http://en.wikipedia.org/wiki/Molarity Molarity].
* [http://en.wikipedia.org/wiki/Area_density#Column_density Column density] is a type of area density defined as the z integral of a volume fraction from the bottom to the top of a column of water or air, as in the ocean or atmosphere.  In the CF names, the quantity name "content" is used for this concept.  In the context of sediment plumes, the quantity name "sediment inventory" is used for this concept (a z-integral over the depth of a freshwater plume entering the sea).
:
:
* "Volume concentration" is also called "volume fraction".  See Fraction.
* Physicists sometimes use the term "flux_density".
:
:
* The term "osmotic concentration" is also used.
* Hydrologists use the term "drainage_density", which is defined as the total length of channels in a drainage basin divided by the drainage area.  Generic units are therefore inverse length. Similarly, "source_density" can refer to the total number of sources (i.e. channel heads) in a basin divided by the drainage area.
:
:
* See: [http://www.stanford.edu/group/Urchin/mineral.html "Mineral makeup of seawater"].
* Other valid quantities include "current_density", "electron_density" (in plasma physics), "thermal_energy_density" and "magnetic_energy_density".
:
:
* See: [http://en.wikipedia.org/wiki/Concentration Concentration], [http://en.wikipedia.org/wiki/Seawater Seawater] and [http://en.wikipedia.org/wiki/Sediment_transport Sediment transport].
* See: [http://en.wikipedia.org/wiki/Area_density Area density], [http://en.wikipedia.org/wiki/Area_density#Column_density Column density], [http://en.wikipedia.org/wiki/Bulk_density Bulk density], [http://en.wikipedia.org/wiki/Critical_density Critical density],[http://en.wikipedia.org/wiki/Current_density Current density], [http://en.wikipedia.org/wiki/Density Density], [http://en.wikipedia.org/wiki/Drainage_density Drainage density], [http://en.wikipedia.org/wiki/Electron_density Electron density], [http://en.wikipedia.org/wiki/Energy_density Energy density], [http://en.wikipedia.org/wiki/Knot_density Knot density], [http://en.wikipedia.org/wiki/Linear_density Linear density], [http://en.wikipedia.org/wiki/Memory_storage_density Memory storage density], [http://en.wikipedia.org/wiki/Number_density Number density], [http://en.wikipedia.org/wiki/Orthobaric_density Orthobaric density], [http://en.wikipedia.org/wiki/Particle_density Particle density], [http://en.wikipedia.org/wiki/Population_density Population density], [http://en.wikipedia.org/wiki/Potential_density Potential density], [http://en.wikipedia.org/wiki/Power_density Power density], [http://en.wikipedia.org/wiki/Probability_density_function Probability density function], [http://en.wikipedia.org/wiki/Relative_density Relative density], [http://en.wikipedia.org/wiki/Surface_power_density Surface power density], [http://en.wikipedia.org/wiki/Torque_density Torque density] and [http://en.wikipedia.org/wiki/Vapour_density Vapour density].


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== {{ Bar Heading| text=Conductivity}} ==
== {{ Bar Heading| text=Depth}} ==


&nbsp; base_quantity = "conductivity" <br/>
&nbsp; base_quantity = "depth" <br/>
&nbsp; quantity = "electrical_conductivity"  [siemens m-1] or [ohm-1 m-1] <br/>
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; quantity = "hydraulic_conductivity"  [m s-1] <br/>
&nbsp; "secchi_depth"
&nbsp; quantity = "ionic_conductivity"  <br/>
&nbsp; quantity = "thermal_conductivity"     [W m-1 K-1] <br/>


&nbsp; ''Examples''
&nbsp; ''Examples''
  sea_water__electrical_conductivity
  channel_water__mean_depth
  snow__thermal_conductivity
  sea_water__secchi_depth
  soil__saturated_hydraulic_conductivity
  sea_water_below-surface__depth
sea_water_bottom__depth
soil_sat-zone_top__depth    ##### (or if not soil, land_subsurface_sat-zone_top__depth).


* Units cannot be determined from the "base quantity" name as shown above.
* Measured as a positive downward distance below a reference surface.  In this sense, it is the opposite of "height" which is measured positive upward from a reference surface.
:
* CF Standard Names often use "thickness" instead of "depth".  See the template for Thickness.
:
* The words "depth" and "thickness" are sometimes used interchangeably.  In the context of "layers", "thickness" is usually used (e.g. in meteorology, geology and hydrogeology). In the context of surface water or snow, "depth" is usually used.  (As in: "How deep is the lake?" or "The lake depth is 5 meters.")  The word "depth" indicates a value that is positive downward from some reference datum, and which may take values less than some maximum possible value.
:
:
* Hydraulic conductivity can depend on coordinate direction unless the soil is assumed to be isotropic.  When applicable, include an <assume> tag in the Model Metadata File with the standard assumption name: "isotropic_medium". See [[CSN_Assumption_Names | CSDMS Assumption Names]] for more information.
* Note that "secchi_depth" is a standard term that measures turbidity using a "visible depth".   See: [http://en.wikipedia.org/wiki/Secchi_disk Secchi disk].
:
:
* "Relative hydraulic conductivity" is the ratio of (K / K_sat). See Smith (2002).
* While the term "precipitable_water_content" is commonly used, its units of length are not really consistent with the base quantity "content".  The terms "precipitable water depth" and "precipitable depth of water vapor" are also used and imply units of length, but not all of the water can actually "precipitate". An unambiguous and currently-used standard name for this quantity is: "atmosphere_water~vapor" + "z_integral_from_bottom-to-top_of_volume_fraction".
:
:
* See: [http://en.wikipedia.org/wiki/Electrical_conductivity Electrical conductivity], [http://en.wikipedia.org/wiki/Hydraulic_conductivity Hydraulic conductivity],[http://en.wikipedia.org/wiki/Ionic_conductivity Ionic conductivity] and [http://en.wikipedia.org/wiki/Thermal_conductivity Thermal conductivity].
* See Altitude, Elevation, Height and Thickness.


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== {{ Bar Heading| text=Constants in Math}} ==
== {{ Bar Heading| text=Diameter}} ==
 
&nbsp; base_quantity = "diameter"


&nbsp; base_quantity = "constant" <br/>
&nbsp; quantity = "math_" + constant_name + "_constant"
&nbsp; ''Examples''
&nbsp; ''Examples''
  math__catalan_constant
  basin_channel-network_graph__diameter
  math__chaitin_constant
  graph~tree~rooted__diameter
  math__conway_constant
  tree~oak~bluejack_trunk__diameter
  math__e_constant                (or math_euler_e_constant ??)
  impact-crater_circle__diameter      (see '''Object_name + model_name Pattern''')
  math__euler_gamma_constant
  square__diameter
math__feigenbaum_alpha_constant
 
math__feigenbaum_delta_constant
* This quantity usually has units of length (except for rooted tree graphs).
math__golden_ratio_constant
:
  math__googol_constant
* Although often associated with a circle, the general definition of [http://en.wikipedia.org/wiki/Diameter diameter] is the maximum distance (for some metric) between any two points in a set. So any bounded geometric shape (e.g. a square or any polygon) has a well-defined diameter, as does any bounded set of points. Note that the diameter of a bounded set is the same as the diameter of its [http://en.wikipedia.org/wiki/Convex_hull convex hull]. In graph theory, the diameter of a rooted [http://en.wikipedia.org/wiki/Tree_graph tree graph] is the maximum number of edges between the root and any leaf. River networks have a well-defined diameter (though topological vs. geometrical) since they can be viewed as rooted tree graphs (rooted at the outlet).
  math__khinchin_constant
:
  math__pythagoras_constant  (= square root of 2)
* See Perimeter.
  math__sierpinski_constant
 
math__twin_prime_constant
<br/>
  math__pi_constant
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== {{ Bar Heading| text=Diffusivity}} ==
 
&nbsp; base_quantity = "diffusivity" <br/>
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; "magnetic_diffusivity" [m2 s-1] <br/>
&nbsp; "mass_diffusivity"    [m2 s-1] <br/>
&nbsp; "momentum_diffusivity" [m2 s-1]      (nickname for kinematic_viscosity) <br/>
&nbsp; "thermal_diffusivity" [m2 s-1] <br/>


* This includes numbers like "pi", "phi" and "e".  See [http://en.wikipedia.org/wiki/Mathematical_constant Wikipedia: Mathematical constant] for a table with numerous examples.
* It appears that the units are always [m2 s-1].
:
* "thermal_diffusivity" seems preferable to "heat_diffusivity"
:
:
* These numbers are not a quantity associated with an object like our others so we have used "math" as a placeholder object. Note that one model may want to check the number of significant digits of a math constant (like pi) that are used in another model, for example.
* Common adjectives are: biharmonic, laplacian, epineutral, etc.
:
:
* phi = 1.61803... is known as the [http://en.wikipedia.org/wiki/Golden_ratio golden ratio].
* The term "eddy diffusivity" is sometimes used as a synonym for the "eddy diffusion coefficient", usually denoted as "K". See: [http://en.wikipedia.org/wiki/Eddy_diffusion Eddy diffusion].
:
:
* See the Dimensionless Number template.
* See: [http://en.wikipedia.org/wiki/Magnetic_diffusivity Magnetic diffusivity], [http://en.wikipedia.org/wiki/Mass_diffusivity Mass diffusivity], [http://en.wikipedia.org/wiki/Kinematic_viscosity#Kinematic_viscosity Kinematic viscosity], [http://en.wikipedia.org/wiki/Momentum_diffusion Momentum diffusion], [http://en.wikipedia.org/wiki/Thermal_diffusivity Thermal diffusivity] and [http://en.wikipedia.org/wiki/Heat_conduction Thermal conduction].


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== {{ Bar Heading| text=Constants in Physics}} ==
== {{ Bar Heading| text=Dimension}} ==


&nbsp; base_quantity = "constant"
&nbsp; base_quantity = "dimension" <br/>
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; "box_counting_dimension" <br/>
&nbsp; "hausdorff_dimension" <br/>


&nbsp; ''Examples''
&nbsp; ''Examples''
  air__dielectric_constant  [1]            (can be complex) 
  cantor-set__hausdorff_dimension
earth__solar_constant              [W m-2]        (solar_irradiation_constant may be better)
  peano-curve__hausdorff_dimension
earth__standard_gravity_constant  [m s-2]  ("little g", see Attributes of Planets template)
  sierpinski-gasket__hausdorff_dimension
physics__atomic_mass_constant    [kg]  (about 1.660538921e-27)
physics__avogadro_constant          [unit mol-1]  (see Note below)
physics__boltzmann_constant        (See ideal_gas_constant)
physics__cosmological_constant      [m-2]  (about 10^{-52};  object = universe)
physics__coulomb_constant            [N m2 C-2]    (C = Coulomb SI unit) 
physics__elementary_charge_constant    [C]    (charge of a proton and > 0; -1 times charge of an electron) 
physics__fine_structure_constant    [1]            (about 1/137.035999074)
physics__gravitational_coupling_constant    [1]        (about 1.7518e-45)
physics__hartree_energy_constant    [J]
physics__ideal_gas_constant          [J mol-1 K-1]  (R = 8.3144621)
physics__planck_constant            [J s]
physics__planck_mass_constant    [kg]  (about 2.17651e-8)
physics__reduced_planck_constant
physics__rydberg_constant            [m-1]
physics__static_relative_permittivity
physics__stefan_boltzmann_constant  [W m-2 K-4]
  physics__universal_gravitation_constant  [m3 kg-1 s-2]  ("big G", from Newton's law; or just "gravitational_constant")
  physics__vacuum_light_speed_constant        [m s-1]
physics__vacuum_electric_permittivity_constant  [F/m]  ("electric constant")
physics__vacuum_magnetic_permeability_constant  [N A-2] or [H m-1]  ("magnetic constant")
physics__von_karman_constant        [1]


* If there is no naturally-associated object, the object name "physics" can be used as a placeholder object name.  Or we could remove the object name requirement when the base quantity is "constant".
* This quantity is usually used in connection with fractals and it can be measured (usually using the box-counting dimension) for many objects in nature.
:
:
* Although "latent heat of fusion" and "latent heat of vaporization" are constants for a given substance (e.g. water), they have the following CSDMS standard names:
* See: [http://en.wikipedia.org/wiki/Box-counting_dimension Box-counting dimension], [http://en.wikipedia.org/wiki/Dimension Dimension], [http://en.wikipedia.org/wiki/Fractal_dimension Fractal dimension], [http://en.wikipedia.org/wiki/Hausdorff_dimension Hausdorff dimension] and [http://en.wikipedia.org/wiki/Packing_dimension Packing dimension].
  water__fusion_specific_latent_heat          (334 [kJ kg-1])
 
  water__vaporization_specific_latent_heat    (2500 [kJ kg-1])
<br/>
:Note that "specific_latent_heat" is a quantity name so the quantity name part of these examples conforms to the '''Process_name + Quantity Pattern'''. See the template for Heat and  [http://en.wikipedia.org/wiki/Latent_heat Latent heat].
<!-- ============================================= -->
:
 
* The modern name for "Avogadro's number" is the "avogadro_constant". (See [http://en.wikipedia.org/wiki/Avogadro_constant Avogadro constant].)  It has units and is equal to:  6.02214129(27)x10^{23} [mol-1]  or [unit mol-1]
== {{ Bar Heading| text=Dimensionless Numbers}} ==
:
 
* The speed of light depends on the medium it is traveling through. In a vacuum, v = c = 299,792,458 [m s-1]. In other materials, v = (c / n), where n > 1 is the ''refraction index''. For visible light in air, n is about 1.0003. So an unambiguous standard name should indicate the medium and the wavelength range in the object nameSince the medium that the light is traveling through matters, we use the '''Object-in-object Quantity Pattern''' to create standard names such as: "visible_light_in_air_speed".
&nbsp; [ famous person's name ] + "_number"
 
&nbsp; ''Examples''
air_helium-plume__richardson_number
airplane__mach_number
channel_water_flow__froude_number
channel_water_flow__reynolds_number
equation~heat__courant_number  #### (insert "model" ??)
ship__froude_number
 
* Dimensionless numbers are widely used in physics and typically obtained as the ratio of two quantities that have the same unitsFor example, Reynolds number gives the ratio of inertial and viscous forces in a flow problem, and flows transition from laminar to turbulent as the Reynolds number increases.
:
:
* The speed of light in a vacuum is a constant that is independent of wavelength. Perhaps we should give it the standard name "light_in_vacuum_speed_constant" which follows the '''Object-in-object Quantity Pattern'''.
* Wikipedia has a nice table of [http://en.wikipedia.org/wiki/Dimensionless_number '''dimensionless numbers'''] which provides numerous examples.
:
:
* The "universal gravitational constant' appears in Newton's Law of Gravitation and is denoted as G (big G).  It has units of [m3 kg-1 s-2].  The "Earth gravitational constant" is more correctly called the "Earth standard gravity constant". It is the average free-fall acceleration of Earth's gravitational field near the surface of the Earth and is denoted as g (little g).  Even though it varies with position on Earth, it is defined to be precisely 9.80665 [m s-2] (an average value).  See: [http://en.wikipedia.org/wiki/Standard_gravity Standard gravity] and [http://en.wikipedia.org/wiki/Gravity_of_Earth Gravity of Earth].
* Some names, like "Reynolds", end in "s", but a possessive "s" is not added at the end. See the CSDMS Standard Name [[CSN_Basic_Rules | '''Basic Rules''']].
:
:
* While the coefficient in Hooke's law is often called the '''''spring constant''''', we instead use ''''steel_spring__hooke_law_coefficient''''' for consistency with coefficients in other empirical laws.
* The modern name for "Avogadro's number" is the "Avogadro constant" and it is not dimensionless.
:
:
* See: [http://en.wikipedia.org/wiki/Boltzmann_constant Boltzmann constant],[http://en.wikipedia.org/wiki/Coulomb_constant Coulomb constant], [http://en.wikipedia.org/wiki/Elementary_charge Elementary charge], [http://en.wikipedia.org/wiki/Fine_structure_constant Fine-structure constant],[http://en.wikipedia.org/wiki/Gravitational_coupling_constant Gravitational coupling constant], [http://en.wikipedia.org/wiki/Gas_constant Ideal gas constant],[http://en.wikipedia.org/wiki/Planck_constant Planck constant],[http://en.wikipedia.org/wiki/Psychrometric_constant Psychrometric constant],[http://en.wikipedia.org/wiki/Rydberg_constant Rydberg constant],[http://en.wikipedia.org/wiki/Stefan–Boltzmann_constant Stefan-Boltzmann constant], [http://en.wikipedia.org/wiki/Gravitational_constant Universal gravitational constant], [http://en.wikipedia.org/wiki/Vacuum_permittivity Vacuum electric permittivity], [http://en.wikipedia.org/wiki/Vacuum_permeability Vacuum magnetic permeability] and [http://en.wikipedia.org/wiki/Von_Kármán_constant von Karman constant].
* See the Attributes of Atoms and Number templates for terms like "proton_number".
:
:
* See: [http://en.wikipedia.org/wiki/Physical_constant Physical constant].
* See the Number template for more information.


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== {{ Bar Heading| text=Content}} ==
== {{ Bar Heading| text=Discharge or Volume Flow Rate}} ==
 
&nbsp; base_quantity = "content" <br/>
&nbsp; quantity = "energy_content" <br/>
&nbsp; quantity = "mass_content" <br/>
&nbsp; quantity = "water_content" <br/>


&nbsp; "volume_flow_rate" <br/>
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; <br/>
&nbsp; ''Examples''
&nbsp; ''Examples''
  coal__thermal_energy_content
  channel_water_x-section__volume_flow_rate [m3 s-1]
  dry_wood__thermal_energy_content
  lake_water~incoming__volume_flow_rate [m3 s-1]
  gas__thermal_energy_content
  lake_water~outgoing__volume_flow_rate [m3 s-1]
 
soil__field_capacity_water_content
soil__hygroscopic_water_content
soil__initial_water_content
soil__normalized_water_content  (also called "effective saturation")
soil__residual_water_content
soil__saturated_water_content
soil__wilting_point_water_content
 
snow__cold_content  ? (must be overcome before melting starts to occur)
snow__thermal_energy_content


* The word "content" refers to the "amount contained within".  It is therefore naturally associated with two objects and the '''Object-in-object Quantity Pattern'''While "soil_water_content" is a fairly standard term in hydrology, it would be perfectly valid and perhaps more clear to use the term "water_in_soil_volume_fraction".
* The term "discharge" is used primarily by hydrologists and is commonly denoted as "Q".  The term "volume_flow_rate" is more broadly understood.
:
* The term "discharge" has the connotation of something leaving a domain, so additional clarification is generally needed to indicate whether the volume flow rate is into or out of a given domain (e.g. with "incoming" or "outgoing"). This is now done in the object part of the name, by using either "water~incoming" or "water~outgoing".
:
* Hydrologists also use "unit_width_discharge" (discharge per unit contour width) in the context of surface flows.  It is usually denoted by lower-case "q" and has SI units of [m2 s-1].   Note that "depth-integrated velocity" is a synonym for unit-width discharge, and in CSN this 2D vector field is called "z_integral_of_velocity".  Note that the "lateral inflow rate" to the sides of a channel is given by:  "channel_bank_water" + "volume-per-length_flow_rate".
:
* See: [http://en.wikipedia.org/wiki/Discharge_(hydrology) Discharge], [http://en.wikipedia.org/wiki/Volumetric_flow_rate Volumetric flow rate], [http://en.wikipedia.org/wiki/Volumetric_flux Volumetric flux] and [http://en.wikipedia.org/wiki/Mass_flow_rate Mass flow rate].
:
* A "volume_flux" has units of [m3 m-2 s-1] = [m s-1], as in Darcy's Law.  Discharge is then the integral of a volume flux over the cross-sectional area of a channel or pipe. See the Flux template.
:
:
* The quantity "thermal_energy_content" can be applied to substances like air and snow but is often used in the context of fuels like coal, gas and wood.
* Avoid "streamflow" and "outflow" as synonyms for "discharge" or else define them to be aliases.
:
:
* In CF Standard Names, "content" indicates a quantity per unit area. However, in infiltration theory, "soil_water_content" is a "volume_fraction". CF has "soil_moisture_content", "soil_moisture_content_at_field_capacity" and "soil_carbon_content".  See [http://en.wikipedia.org/wiki/Water_content Water Content].
* If a "sediment discharge" quantity has units of [mass / time], then it should be called something like "channel_water_sediment~suspended" + "mass_flow_rate" instead of "channel_water_sediment~suspended" + "volume_flow_rate", since discharge has units of [volume / time].
:
:
* Do we want to distinguish between: ''gravimetric_water_content'' and ''volumetric_water_content'' ?
* See the '''Flow Rate''' template.


* Many [http://cf-pcmdi.llnl.gov/documents/cf-standard-names/ CF Convention Standard Names] contain the base quantity "content".  The following list shows the number, in parentheses, or each use pattern:
<br/>
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== {{ Bar Heading| text=Distance}} ==
 
&nbsp; base_quantity = "distance" <br/>
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; "average_distance" <br/>
&nbsp; "separation_distance"


carbon_content [kg m-2]  (14)
&nbsp; ''Examples''
energy_content [J m-2]  (25)  e.g. "thermal_energy_content_of_surface_snow"
  channel_centerline_endpoints__separation_distance
enthalpy_content [**********] (4)
  earth-to-sun__average_distance
heat_content [J m-2]  (2)
ice_content [kg m-2]  (2)
mass_content [kg m-2]  (235)
moisture_content [kg m-2] or [m]  (6)
number_content [m-2]  (7)
ozone_content [Pa] or [m]  (2)
soot_content [kg m-2]  (1)
  sulfate_content [kg m-2]  (1)
  vapor_content [kg m-2] (14)  (most are "tendencies")
water_content [kg m-2]  (16)


: We may therefore have a conflict with "water_content" unless it is resolved by the object part.
* This quantity seems to require specifying two objects, just as solubility, partial_pressure and volume_fraction do.  In the latter cases the special keyword "_in_" was introduced.  Here the reserved word "-to-" and the pattern: (object + "-to-" + object + distance) is used in a similar way. The keyword "-to-" can also be used for ratios.  See "Ratios".
:
* We could introduce "straight_distance" as a synonym for '''euclidean_distance''' or just use the latter term.  Or perhaps use "euclidean_length" instead?
:
* The word "distance" is sometimes used in a more abstract sense, as a measure of dissimilarity between two objects.  For example, the [http://en.wikipedia.org/wiki/Hamming_distance Hamming distance] measures the dissimilarity of two text strings.  See: [http://en.wikipedia.org/wiki/Metric_(mathematics) Metric], [http://en.wikipedia.org/wiki/Distance Distance], [http://en.wikipedia.org/wiki/Euclidean_distance Euclidean distance], [http://en.wikipedia.org/wiki/Uniform_norm Uniform norm] and [http://en.wikipedia.org/wiki/Taxicab_geometry Taxicab geometry] (or "Manhattan distance").


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== {{ Bar Heading| text=Coordinate}} ==
== {{ Bar Heading| text=Duration}} ==


&nbsp; base_quantity = "coordinate"
&nbsp; base_quantity = "duration" <br/>
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; [process name] + "_duration"  (e.g. exposure_duration, precipitation_duration)


&nbsp; ''Examples''
&nbsp; ''Examples''
  alongshore_coordinate (oriented along and based on a shoreline; similar to sigma coordinates)
  aircraft__flight_duration
  cross-shore_coordinate (off-shore and on-shore directions)
  atmosphere_water__precipitation_duration (vs. "rainfall duration")
 
  earth_day~sidereal__duration
  cross-stream_coordinate (oriented along and based on a stream centerline)
  earth_day~solar-mean__duration
  streamwise_coordinate  (upstream and downstream directions)
  earth_day~stellar__duration
 
  land_surface__sunshine_duration      (or "daylight_duration")
  eastward_coordinate  (for a model; if not same as longitude)
  water_scuba-diver__dive_duration
  westward_coordinate
 
  northward_coordinate (for a model;  if not same as latitude)
* Used to indicate a time period.
  southward_coordinate
r_coordinate    (Cylindrical and Spherical coordinates, with azimuth_angle and zenith_angle)
 
u_coordinate  (e.g. orthogonal curvilinear coordinate systems)
v_coordinate    (e.g. orthogonal curvilinear coordinate systems)
 
x_coordinate  (Cartesian coordinates)
y_coordinate  (Cartesian coordinates)
z_coordinate  (Cartesian coordinates)
 
* Note that Geographic coordinates use '''latitude''' (north-south coordinate), '''longitude''' (east-west coordinate) and '''elevation''' (vertical coordinate).  These are treated as standard base quantity names in the CSDMS Standard Names.  See: [http://en.wikipedia.org/wiki/Geographic_coordinate_system Geographic coordinates].
:
:
* For spherical coordinates, we would usually use "azimuth_angle" and "zenith_angle" instead of "theta_coordinate" and "phi_coordinate".  But perhaps the latter should also be allowed.
* See the Precipitation section.
:
:
* The terms "normal_coordinate" and "tangential_coordinate" are also used in some contexts.
* Typically preceded by a process name modifier. See [[ CSN_Process_Names | CSDMS Process Names ]] for a list of process names.
:
* See: [http://en.wikipedia.org/wiki/Barycentric_coordinates_(astronomy) Barycentric coordinates] (astronomy), [http://en.wikipedia.org/wiki/Barycentric_coordinate_system Barycentric coordinates] (for a triangle or other simplex), [http://en.wikipedia.org/wiki/Canonical_coordinates Canonical coordinates], [http://en.wikipedia.org/wiki/Coordinate_system Coordinate system], [http://en.wikipedia.org/wiki/Fermi_coordinates Fermi coordinates], [http://en.wikipedia.org/wiki/Fractional_coordinates Fractional coordinates] (crystallography), [http://en.wikipedia.org/wiki/Galilean_transformation Galilean transformation], [http://en.wikipedia.org/wiki/Generalized_coordinates Generalized coordinates], [http://en.wikipedia.org/wiki/Isothermal_coordinates Isothermal coordinates], [http://en.wikipedia.org/wiki/Normal_coordinates Normal coordinates] (from differential geometry) and [http://en.wikipedia.org/wiki/Sigma_coordinate_system Sigma coordinate system] (also called terrain-following).
:
* See the section for Components above, where the same prefixes are used.  In fact, instead of using "coordinate" as a base quantity, it would be possible to use "position", which is a vector quantity, similar to velocity.  Then we could use "x_component_of_position" instead of "x_coordinate", etc. just as we use "x_component_of_velocity".  Note that while the components of a position vector are called "coordinates", there is no similar, short term for the components of a velocity vector.


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== {{ Bar Heading| text=Correlation}} ==
== {{ Bar Heading| text=Efficiency}} ==


&nbsp; base_quantity = "correlation"
&nbsp; base_quantity = "efficiency" <br/>
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; "electrical_efficiency" <br/>
&nbsp; "luminous_efficiency" <br/>
&nbsp; "mechanical_efficiency" <br/>
&nbsp; "thermal_efficiency"


&nbsp; ''Examples''
&nbsp; ''Examples''
  (None yet)
  engine__thermal_efficiency


* Note that correlations require two quantities to be specified, which is similar to certain other quantities such as Partial Pressure and Solubility.
* Efficiency is usually expressed as a ratio of what is achieved to the max possible (or ideal) value and is therefore a dimensionless number.
:
:
* Although the Guidelines for Constructing CF Standard Names includes a provision for correlations as the transformation pattern: "correlation_of_X_and_Y_over_Z", there are currently no examples of CF Standard Names that contain "correlation". The same is true for "covariance" and "convergence". There are only three names with "divergence".
* See: [http://en.wikipedia.org/wiki/Carnot_heat_engine Carnot heat engine], [http://en.wikipedia.org/wiki/Electrical_efficiency Electrical efficiency], [http://en.wikipedia.org/wiki/Energy_conversion_efficiency Energy conversion efficiency], [http://en.wikipedia.org/wiki/Fuel_efficiency Fuel efficiency], [http://en.wikipedia.org/wiki/Luminous_efficacy Luminous efficiency], [http://en.wikipedia.org/wiki/Mechanical_advantage Mechanical advantage], [http://en.wikipedia.org/wiki/Mechanical_efficiency Mechanical efficiency] and [http://en.wikipedia.org/wiki/Thermal_efficiency Thermal efficiency].


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== {{ Bar Heading| text=Count}} ==


&nbsp; base_quantity = "count" <br/>
== {{ Bar Heading| text=Elevation}} ==
&nbsp; quantity = "blood_" + [cell type] + "_cell_count"
 
&nbsp; base_quantity = "elevation"


&nbsp; ''Examples''
&nbsp; ''Examples''
  channel_bed__wolman_pebble_count
  bedrock_surface__elevation
  human_blood_platelet__count
  land_subsurface_sat-zone_top__elevation  (vs. ground_water-table_surface)  ####
  human_blood_red-cell__count
  land_surface__elevation
  human_blood_white-cell__count
  sea_water_surface__elevation


* This quantity name is sometimes used when the attribute being quantified can only take integer values, as in the examples above.  
* There is a subtle but important difference between the quantities "altitude" and "elevation".  The word '''altitude''' refers to the distance of an object (e.g. aircraft, air parcel or balloon) above the ground, regardless of the local elevation of the land surface.  The word '''elevation''' refers to the distance of an object (typically a land surface) above a datum, such as the mean sea level datum.  Elevation is one of the three Geographic coordinates used to specify a 3D location (i.e. elevation, latitude and longitude).
:
:
* In the case of blood cell counts, the units are usually a number per volume (e.g. number per microliter).  See: [http://en.wikipedia.org/wiki/Blood_cell_count Blood cell count].  Should the quantity name then be: "unit_volume_count", or perhaps should "unit_volume" be added to the end of the object name?  Is a platelet technically considered to be a type of blood cell?
* See the quantity templates for Altitude, Depth, Height, Thickness.
:
:
* The "Wolman pebble count" due to [http://webapps.jhu.edu/jhuniverse/featured/reds_wolman/ M. Gordon "Reds" Wolman] is sometimes used in river hydraulics and sediment transport.
* See the object template for Surface. Elevation is one of many attributes that can be associated with a surface.
:
* The "diatom count" of a sample may be another example; are the units then the same as "abundance"?  (e.g. "sediment_core_diatom_relative_abundance" ?)
:
* The number of occurrences of a given event may also be called a "count".  (e.g. Geiger counters)
:
* See [http://en.wikipedia.org/wiki/Count_data Count data] and the Number template.
:
:
* See Reference Quantities.
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== {{ Bar Heading| text=Curvature}} ==
== {{ Bar Heading| text=Emissivity}} ==
:
* See the Attributes of Topography template which lists several types of curvature.  However, curvature can also be defined for curves, such as coastline curves and space curves (or trajectories).
 
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== {{ Bar Heading| text=Density}} ==


&nbsp; base_quantity = "density"
&nbsp; base_quantity = "emissivity"


&nbsp; ''Examples''
&nbsp; ''Examples''
  air__density
  land_surface__emissivity
air__stp_density  (stp = standard temperature and pressure)
friedmann_universe__critical_density
sea_water__density
watershed__drainage_density


* The word '''density''' usually refers to the amount of something within a fixed amount of space.  The "amount of space" could be 1D (line), 2D (area) or 3D (volume).  To avoid ambiguity, perhaps standard names like ''mass-per-volume_density'', ''mass-per-area_density'', ''energy-per-area_density'', ''number-per-area_density'', "number-per-volume_density", ''length-per-area_density'', ''charge-per-area_density'', "bits-per-area_density" and "torque-per-volume_density" should be used to remove any ambiguity.  Similar issues occur for Concentration (see section by that name).  Also see the section for Flux.
* Emissivity is a measure of the effectiveness of a surface in emitting energy as '''thermal radiation''' (also called "longwave radiation").  It is defined as the (dimensionless) ratio of the thermal radiation emitted by a surface/object and the thermal radiation that would be emitted by an ideal '''black body''' surface at the same temperature.
:
* Maybe expand this to "mass_density" to avoid any ambiguity. Units for "mass_density" would always be [kg m-3]. Consider cases like: "drainage_density" [L-1]
:
* The adjective "bulk" is often inserted before density.
:
* Physicists sometimes use the term "flux_density".
:
* Hydrologists use the term "drainage_density", which is defined as the total length of channels in a watershed divided by the watershed area.  Similarly, "source_density" refers to the total number of sources (i.e. channel heads) in a watershed divided by the watershed area.
:
:
* Other valid quantities include "current_density", "electron_density" (in plasma physics), "thermal_energy_density" and "magnetic_energy_density".
* Emissivity values are dimensionless and range between 0 and 1.
:
:
* See: [http://en.wikipedia.org/wiki/Area_density Area density], [http://en.wikipedia.org/wiki/Critical_density Critical density],[http://en.wikipedia.org/wiki/Current_density Current density], [http://en.wikipedia.org/wiki/Density Density], [http://en.wikipedia.org/wiki/Drainage_density Drainage density], [http://en.wikipedia.org/wiki/Electron_density Electron density], [http://en.wikipedia.org/wiki/Energy_density Energy density], [http://en.wikipedia.org/wiki/Knot_density Knot density], [http://en.wikipedia.org/wiki/Linear_density Linear density], [http://en.wikipedia.org/wiki/Memory_storage_density Memory storage density], [http://en.wikipedia.org/wiki/Number_density Number density], [http://en.wikipedia.org/wiki/Orthobaric_density Orthobaric density], [http://en.wikipedia.org/wiki/Particle_density Particle density], [http://en.wikipedia.org/wiki/Population_density Population density], [http://en.wikipedia.org/wiki/Potential_density Potential density], [http://en.wikipedia.org/wiki/Power_density Power density], [http://en.wikipedia.org/wiki/Probability_density_function Probability density function], [http://en.wikipedia.org/wiki/Relative_density Relative density],[http://en.wikipedia.org/wiki/Surface_power_density Surface power density], [http://en.wikipedia.org/wiki/Torque_density Torque density] and [http://en.wikipedia.org/wiki/Vapour_density Vapour density].
* See: [http://en.wikipedia.org/wiki/Black_body Black body], [http://en.wikipedia.org/wiki/Black-body_radiation Black-body radiation], [http://en.wikipedia.org/wiki/Earth's_energy_budget Earth's energy budget], [http://en.wikipedia.org/wiki/Emissivity Emissivity], [http://en.wikipedia.org/wiki/Outgoing_longwave_radiation Outgoing longwave radiation] and [http://en.wikipedia.org/wiki/Shortwave_radiation Shortwave radiation].


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== {{ Bar Heading| text=Depth}} ==
== {{ Bar Heading| text=Emittance}} ==


&nbsp; base_quantity = "depth" <br/>
&nbsp; base_quantity = "emittance"
&nbsp; quantity = "precipitable_depth" <br/>
&nbsp; quantity = "secchi_depth"


&nbsp; ''Examples''
&nbsp; ''Examples''
  atmosphere_vertical-column_water-vapor__precipitable_depth
  land_surface_radiation~incoming~longwave__emittance
channel_water__mean_depth  ??
ground_water_table__depth    ### (underground or subsurface vs. ground ?)
sea_water__depth  (or sea_floor_depth ?? #######)
sea_water__secchi_depth


* Measured as a positive downward distance below a reference surface.  In this sense, it is the opposite of "height" which is measured positive upward from a reference surface.
* Emittance is the '''energy flux''' emitted by a source, and has SI units of [W m-2] or [J m-2 s-1].
:
* CF Standard Names often use "thickness" instead of "depth".  See the template for Thickness.
:
* The words "depth" and "thickness" are sometimes used interchangeably.  In the context of "layers", "thickness" is usually used (e.g. in meteorology, geology and hydrogeology). In the context of surface water or snow, "depth" is usually used.  (As in: "How deep is the lake?" or "The lake depth is 5 meters.")  The word "depth" indicates a value that is positive downward from some reference datum, and which may take values less than some maximum possible value.
:
:
* Note that "secchi_depth" is a standard term that measures turbidity using a "visible depth".  See: [http://en.wikipedia.org/wiki/Secchi_disk Secchi disk].
* See: [http://en.wikipedia.org/wiki/Irradiance Irradiance].
:
:
* While the term "precipitable_water_content" is commonly used, its units of length are not really consistent with the base quantity "content". However, the terms "precipitable water depth" and "precipitable depth of water vapor" are also used and imply units of length. An unambiguous standard name for this quantity might be: "water_vapor_in_vertical_air_column__precipitable_depth", which uses the '''Object-in-object Quantity Pattern'''.
* See: [http://en.wikipedia.org/wiki/Absorbance Absorbance], [http://en.wikipedia.org/wiki/Attenuation_coefficient Attenuation coefficient], [http://en.wikipedia.org/wiki/Beer–Lambert_law Beer-Lambert law], [http://en.wikipedia.org/wiki/Mass_attenuation_coefficient Mass attenuation coefficient], [http://en.wikipedia.org/wiki/Opacity_(optics) Opacity (optics)], [http://en.wikipedia.org/wiki/Reflectivity Reflectance] and [http://en.wikipedia.org/wiki/Transmittance Transmittance].
:
* See Altitude, Elevation, Height and Thickness.


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== {{ Bar Heading| text=Diameter}} ==
== {{ Bar Heading| text=Energy}} ==


&nbsp; base_quantity = "diameter"
&nbsp; base_quantity = "energy" <br/>
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; "electric_energy" <br/>
&nbsp; "free_energy" <br/>
&nbsp; "internal_energy" <br/>
&nbsp; "kinetic_energy" <br/>
&nbsp; "potential_energy" <br/>
&nbsp; "thermal_energy"


&nbsp; ''Examples''
&nbsp; ''Examples''
  bluejack_oak_tree_trunk__diameter
  projectile__potential_energy
  crater_circle__diameter      (see '''Object_name + model_name Pattern''')
  water__gibbs_free_energy
rooted_tree_graph__diameter
square__diameter
watershed__diameter


* This quantity usually has units of length (except for rooted tree graphs).
* The SI unit for energy is Joules.
:
* Specific energy is energy per unit volume or mass.  Add the prefix mass-specific, mole-specific or volume-specific for clarity.
:
:
* Although often associated with a circle, the general definition of [http://en.wikipedia.org/wiki/Diameter diameter] is the maximum distance (for some metric) between any two points in a set.  So any bounded geometric shape (e.g. a square or any polygon) has a well-defined diameter, as does any bounded set of pointsNote that the diameter of a bounded set is the same as the diameter of its [http://en.wikipedia.org/wiki/Convex_hull convex hull]. In graph theory, the diameter of a rooted [http://en.wikipedia.org/wiki/Tree_graph tree graph] is the maximum number of edges between the root and any leaf.  River networks have a well-defined diameter (though topological vs. geometrical) since they can be viewed as rooted tree graphs (rooted at the outlet).
* Some possible forms of energy are thermal, chemical, radiant, nuclear, magnetic, elastic sound, mechanical, luminous and massSee [http://en.wikipedia.org/wiki/Energy Energy].
:
:
* See Perimeter.
* See [https://en.wikipedia.org/wiki/Chemical_energy Chemical energy], [https://en.wikipedia.org/wiki/Chemical_potential Chemical potential], [https://en.wikipedia.org/wiki/Elastic_energy Elastic energy], [https://en.wikipedia.org/wiki/Electrical_energy Electrical energy], [https://en.wikipedia.org/wiki/Extent_of_reaction Extent of reaction], [https://en.wikipedia.org/wiki/Fermi_energy Fermi energy], [https://en.wikipedia.org/wiki/Food_energy Food energy], [http://en.wikipedia.org/wiki/Gibbs_free_energy Gibbs free energy], [http://en.wikipedia.org/wiki/Helmholtz_free_energy Helmholtz free energy], [https://en.wikipedia.org/wiki/Internal_energy Internal energy] and [https://en.wikipedia.org/wiki/Magnetic_energy Magnetic energy], [https://en.wikipedia.org/wiki/Magnetic_moment Magnetic moment], [http://en.wikipedia.org/wiki/Thermodynamic_free_energy Thermodynamic free energy].


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== {{ Bar Heading| text=Diffusivity}} ==
== {{ Bar Heading| text=Enthalpy}} ==
 
&nbsp; base_quantity = "enthalpy" <br/>
&nbsp; <br/>
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; "atomization_enthalpy" <br/>
&nbsp; "combustion_enthalpy" <br/>
&nbsp; "denaturation_enthalpy" <br/>
&nbsp; "dissolution_enthalpy"  (also called "enthalpy of solution") <br/>
&nbsp; "formation_enthalpy" <br/>
&nbsp; "fusion_enthalpy" <br/>
&nbsp; "hydration_enthalpy" <br/>
&nbsp; "hydrogenation_enthalpy" <br/>
&nbsp; "mass-specific_enthalpy" <br/>
&nbsp; "mixing_enthalpy" <br/>
&nbsp; "reaction_enthalpy" <br/>
&nbsp; "sublimation_enthalpy" <br/>
&nbsp; "vaporization_enthalpy"


&nbsp; base_quantity = "diffusivity" <br/>
&nbsp; ''Examples''
&nbsp; quantity = "magnetic_diffusivity"  [m2 s-1] <br/>
&nbsp; quantity = "mass_diffusivity"    [m2 s-1] <br/>
&nbsp; quantity = "momentum_diffusivity" [m2 s-1]      (nickname for kinematic_viscosity) <br/>
&nbsp; quantity = "thermal_diffusivity"  [m2 s-1] <br/>


* It appears that the units are always [m2 s-1].
* Enthalpy is defined as the "thermodynamic potential", computed as H = U + pV, where U = internal energy, p = pressure and V = volume.  It has SI units of Joules.
:
* "thermal_diffusivity" seems preferable to "heat_diffusivity"
:
* Common adjectives are: biharmonic, laplacian, epineutral, etc.
:
:
* The term "eddy diffusivity" is sometimes used as a synonym for the "eddy diffusion coefficient", usually denoted as "K". See: [http://en.wikipedia.org/wiki/Eddy_diffusion Eddy diffusion].
* Add the prefix "mole-specific" to a quantity like "combustion_enthalpy" when the units are Joules per mole.
:
:
* See: [http://en.wikipedia.org/wiki/Magnetic_diffusivity Magnetic diffusivity],[http://en.wikipedia.org/wiki/Mass_diffusivity Mass diffusivity],[http://en.wikipedia.org/wiki/Kinematic_viscosity#Kinematic_viscosity Kinematic viscosity], [http://en.wikipedia.org/wiki/Momentum_diffusion Momentum diffusion], [http://en.wikipedia.org/wiki/Thermal_diffusivity Thermal diffusivity] and [http://en.wikipedia.org/wiki/Heat_conduction Thermal conduction].
* See: [http://en.wikipedia.org/wiki/Enthalpy Enthalpy].


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== {{ Bar Heading| text=Dimension}} ==


&nbsp; base_quantity = "dimension" <br/>
== {{ Bar Heading| text=Exponent}} ==
&nbsp; quantity = "box_counting_dimension" <br/>
 
&nbsp; quantity = "hausdorff_dimension" <br/>
&nbsp; base_quantity = "exponent"


&nbsp; ''Examples''
&nbsp; ''Examples''
  cantor-set__hausdorff_dimension
  basin__flint_law_exponent
  peano-curve__hausdorff_dimension
  basin_channel~longest__hack_law_exponent
  sierpinski-gasket__hausdorff_dimension
  channel_water_sediment~suspended__volume_flow_rate_law_area_exponent
glacier__glen_law_exponent


* This quantity is usually used in connection with fractals and it can be measured (usually using the box-counting dimension) for many objects in nature.
* Exponents often occur in empirical laws.
:
* Systems that can undergo [http://en.wikipedia.org/wiki/Phase_transitions phase transitions] are often characterized by a [http://en.wikipedia.org/wiki/Critical_exponents critical exponent].
:
:
* See: [http://en.wikipedia.org/wiki/Box-counting_dimension Box-counting dimension], [http://en.wikipedia.org/wiki/Dimension Dimension], [http://en.wikipedia.org/wiki/Fractal_dimension Fractal dimension], [http://en.wikipedia.org/wiki/Hausdorff_dimension Hausdorff dimension] and [http://en.wikipedia.org/wiki/Packing_dimension Packing dimension].
* See Coefficient, Constant, Factor, Index, Number and Parameter.


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== {{ Bar Heading| text=Dimensionless Numbers}} ==
== {{ Bar Heading| text=Factor}} ==


&nbsp; quantity = [ famous person's name ] + "_number"
&nbsp; base_quantity = "factor"


&nbsp; ''Examples''
&nbsp; ''Examples''
  air_helium-plume__richardson_number
  oscillator__q_factor
  airplane__mach_number
  pipe_water_flow__darcy_friction_factor  (same as moody_friction_factor)
  channel_water__reynolds_number
  pipe_water_flow__fanning_friction_factor
  channel_water__froude_number
  sun-lotion_skin__protection_factor (known as SPF)
  heat_equation__courant_number  #### (insert "model" ??)
  wave~sine__crest_factor
  ship__froude_number


* Dimensionless numbers are widely used in physics and typically obtained as the ratio of two quantities that have the same units.  For example, Reynolds number gives the ratio of inertial and viscous forces in a flow problem, and flows transition from laminar to turbulent as the Reynolds number increases.
* Use "manning_n_parameter" instead of "manning_friction_factor".
:
:
* Wikipedia has a nice table of [http://en.wikipedia.org/wiki/Dimensionless_number '''dimensionless numbers'''] which provides numerous examples.
* Many different types of [http://en.wikipedia.org/wiki/Shape_factor_(image_analysis-and-microscopy) Shape factor] are used in image analysis, such as the "circularity_shape_factor", "elongation_shape_factor", "compactness_shape_factor" and "waviness_shape_factor".
:
:
* Some names, like "Reynolds", end in "s", but a possessive "s" is not added at the end. See the CSDMS Standard Name [[CSN_Basic_Rules | '''Basic Rules''']].
* Another type of shape factor is given by the square root of area divided by the shape's diameter (max distance between any 2 boundary points.).
:
:
* The modern name for "Avogadro's number" is the "Avogadro constant" and it is not dimensionless.
* A model may use an "adjustment_factor", "correction_factor" or "compensation_factor".
:
:
* See the Attributes of Atoms and Number templates for terms like "proton_number".
* See: [http://en.wikipedia.org/wiki/Atomic_form_factor Atomic form factor] (or atomic scattering factor), [http://en.wikipedia.org/wiki/Crest_factor Crest factor],  [http://en.wikipedia.org/wiki/Cunningham_correction_factor Cunningham correction factor] (for small particles in a fluid), [http://en.wikipedia.org/wiki/Q_factor Q factor], [http://en.wikipedia.org/wiki/Sun_protection_factor#Sun_Protection_Factor Sun Protection Factor (SPF)] and [http://en.wikipedia.org/wiki/View_factor View factor].
:
:
* See the Number template for more information.
* See Coefficient, Constant, Exponent, Index, Number and Parameter.


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== {{ Bar Heading| text=Discharge or Volume Flow Rate}} ==
== {{ Bar Heading| text=Flag}} ==


&nbsp; quantity = "volume_flow_rate" <br/>
&nbsp; base_quantity = "flag"
&nbsp; quantity = "volume-per-length_flow_rate" (or per-unit-length ??) <br/>
&nbsp; quantity = "incoming_volume_flow_rate" <br/>
&nbsp; quantity = "outgoing_volume_flow_rate"


&nbsp; ''Examples''
&nbsp; ''Examples''
  channel_water__volume_flow_rate [m3 s-1]
  model__**_option_flag
lake_water__incoming_volume_flow_rate [m3 s-1]
lake_water__outgoing_volume_flow_rate [m3 s-1]
watershed_outlet_water__volume_flow_rate [m3 s-1]


* The term "discharge" is used primarily by hydrologists and is commonly denoted as "Q".  The term "volume_flow_rate" is more broadly understood.
* We may want to allow "flag" as a quantity since many models provide options as boolean values known as "flags".  It isn't clear yet, however, how these would be shared between models or what the object_name would be.
:
:
* The term "discharge" has the connotation of something leaving a domain, so additional clarification is generally needed to indicate whether the volume flow rate is into or out of a given domain (e.g. with "incoming" or "outgoing"). The quantity names '''''incoming_volume_flow_rate''''' and '''''outgoing_volume_flow_rate''''' are always unambiguous.
* See [http://en.wikipedia.org/wiki/Flag_(computing) Flag (computing)].
:
 
* Hydrologists also use "unit_width_discharge" (discharge per unit contour width) in the context of surface flows.  It is usually denoted by lower-case "q" and has SI units of [m2 s-1].  Here we use "volume-per-unit-length_flow_rate" instead.  Note that this may also be used for the "lateral inflow rate" to the sides of a channel as in:  "channel_bank_water__volume-per-length_flow_rate".
<!-- ============================================= -->
:
== {{ Bar Heading| text=Flow Rate}} ==
* See: [http://en.wikipedia.org/wiki/Discharge_(hydrology) Discharge],[http://en.wikipedia.org/wiki/Volumetric_flow_rate Volumetric flow rate], [http://en.wikipedia.org/wiki/Volumetric_flux Volumetric flux] and [http://en.wikipedia.org/wiki/Mass_flow_rate Mass flow rate].
:
* A "volume_flux" has units of [m3 m-2 s-1] = [m s-1], as in Darcy's Law.  Discharge is then the integral of a volume flux over the cross-sectional area of a channel or pipe. See the Flux template.
:
* Avoid "streamflow" and "outflow" as synonyms for "discharge" or else define them to be aliases.
:
* If a "sediment discharge" quantity has units of [mass / time], then it should be called something like "water_suspended-sediment__mass_flow_rate" instead of "water_suspended-sediment__discharge", since discharge has units of [volume / time].
:
* See the '''Flow Rate''' template.


<br/>  
&nbsp; base_quantity = "flow_rate" <br/>
<!-- ============================================= -->
&nbsp; ''Examples of Specific Quantities:'' <br/>
 
&nbsp; "mass_flow_rate" <br/>
== {{ Bar Heading| text=Distance}} ==
&nbsp; "momentum_flow_rate" <br/>
 
&nbsp; "energy_flow_rate" <br/>
&nbsp; base_quantity = "distance"
&nbsp; "volume_flow_rate" <br/>
&nbsp; "mole_flow_rate"


&nbsp; ''Examples''
&nbsp; ''Examples''
  channel_centerline_end_to_end__straight_distance    #####
  channel_entrance_water_x-section__volume_flow_rate
  earth_to_sun__mean_distance
  channel_exit_water_x-section_sediment~suspended__mass_flow_rate
  particle_to_sea_floor__distance
  lake_water~incoming__volume_flow_rate


* This quantity seems to require specifying two objects, just as solubility, partial_pressure and volume_fraction do.  In the latter cases the special keyword "_in_" was introduced.  Here the reserved word "_to_" and the pattern: (object + "_to_" + object + distance) is used in a similar way. The keyword "_to_" can also be used for ratios.  See "Ratios".
* The quantity name "flow_rate" can be ambiguous in the context of a fluid that can either flow into or out of the object in the object part of the name.  In such cases, the process names "inflow" and "outflow" can be used instead of "flow" and are viewed relative to the object.  While "discharge" is commonly used as a quantity name in hydrology, it connotes a volume outflow rate and sounds strange when used to refer to a volume ''inflow''.
:
* The base quantity "rate" implies that units of inverse time are added to the units of the quantity that is being transported.  For example, in SI units we have:
mass_flow_rate      [ kg s-1 ]
momentum_flow_rate  [ kg m s-2 ]
energy_flow_rate    [ J s-1 ] = [ W ]
volume_flow_rate    [ m3 s-1 ]
mole_flow_rate      [ mol s-1 ]
:
* "Energy flow rate" is also known as "power".  See: [http://en.wikipedia.org/wiki/Power_(physics) Power].
:
:
* We could introduce "straight_distance" as a synonym for "euclidean_distance" or just use the latter term. Or perhaps use "euclidean_length" instead?
* See: [http://en.wikipedia.org/wiki/Discharge_(hydrology) Discharge], [http://en.wikipedia.org/wiki/Volumetric_flow_rate Volumetric flow rate] and [http://en.wikipedia.org/wiki/Mass_flow_rate Mass flow rate].
:
:
* The word "distance" is sometimes used in a more abstract sense, as a measure of dissimilarity between two objects.  For example, the [http://en.wikipedia.org/wiki/Hamming_distance Hamming distance] measures the dissimilarity of two text strings.  See: [http://en.wikipedia.org/wiki/Metric_(mathematics) Metric], [http://en.wikipedia.org/wiki/Distance Distance], [http://en.wikipedia.org/wiki/Euclidean_distance Euclidean distance], [http://en.wikipedia.org/wiki/Uniform_norm Uniform norm] and [http://en.wikipedia.org/wiki/Taxicab_geometry Taxicab geometry] (or "Manhattan distance").
* See the templates for Discharge, Flux and Rate of a Process.


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== {{ Bar Heading| text=Duration}} ==
== {{ Bar Heading| text=Flux}} ==


&nbsp; base_quantity = "duration"
&nbsp; base_quantity = "flux" <br/>
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; "mass_flux" <br/>
&nbsp; "momentum_flux" <br/>
&nbsp; "energy_flux" <br/>
&nbsp; "volume_flux" <br/>
&nbsp; "mole_flux" (perhaps this should be "number_flux" to be independent of units.) <br/>
&nbsp; process_name + "_flux"  &nbsp; (e.g. "radiation_flux")


&nbsp; ''Examples''
&nbsp; ''Examples''
  atmosphere_water__precipitation_duration (vs. "rainfall duration")
  land_surface_radiation~outgoing~longwave__energy_flux      (emitted and upward)
  earth_mean-solar-day__duration
  land_surface_radiation~incoming~longwave__energy_flux      (incident and downward)
  earth_sidereal-day__duration
  earth_stellar-day__duration
* See the section on Radiation on the [[CSN_Quantity_Templates | CSDMS Quantity Templates]] page for many examples of radiation fluxes.
  earth__sunshine_duration      (or "daylight_duration")
:
 
* In the context of "transport phenomena", the definition of "flux" is '''''flow rate per unit area'''''.  In addition to the phrase "per unit area", this definition includes the word '''''rate''''' which implies per unit time. So the base quantity "flux" implies that units of [m-2 s-1] are added to the units of the quantity  that is being transported.  For example, in SI units we have:
* Used to indicate a time period.
mass_flux        [ kg m-2 s-1 ]
momentum_flux    [ kg m s-1 m-2 s-1 ]  = [ kg m-1 s-2 ] = [ Pa ]      (force per unit area, same units as "pressure")
  energy_flux      [ W m-2 ] = [ J m-2 s-1 ]
  volume_flux      [ m s-1]  = [ m3 m-2 s-1 ]
  mole_flux        [ mol m-2 s-1 ]
:
* "Flux" can also be understood as "surface bombardment rate".
:
* "Flow rate" is the total amount of the transported quantity per unit time, or the product of an area and a flux.  Replacing "flux" with "flow_rate" in a quantity name results in a different, but also valid quantity.
:
* The examples above show how the object name can be either a '''''surface''''' or a '''''medium'''''. Either type of object can potentially "absorb", "emit", "reflect" or "transmit" a flux.
:
* An energy flux ''emitted by'' an object is a quantity called '''''outgoing_radiation_flux''''' (positive if outgoing).  An energy flux that is ''received by'' or ''incident on'' an object is a quantity called '''''incoming_radiation_flux''''' (positive if incoming).  That is, the sun "radiates" energy and the earth is "irradiated" by this energy.  This distinction means that "incident_radiation" serves as a synonym for "irradiation" and "emitted_radiation" as a synonym for "radiation".  Some objects, like a land surface, can radiate longwave energy or be irradiated by longwave energy.  In such cases, the term "outgoing_radiation_flux" establishes a sign convention that "outgoing is positive".  Similarly, "incoming_radiation_flux" implies "incoming is positive".  Process names often occur in pairs that indicate "incoming" or "outgoing", such as "emigration" and "immigration" or "exporting" and "importing".  Note that a process name, like "radiation" represents an action that applies to the object in the object name part.
:
* The shortwave radiation incident on the land surface is typically modeled as the sum of three components, called '''''direct''''', '''''diffuse''''' and '''''backscattered'''''.  Only the "direct" component (radiation from the sun, transmitted directly through the atmosphere to the surface) is dependent on topographic slope and aspect.  The other two are emitted (via reflections from aerosols) isotropically by the atmosphere so they appear to be arriving from a direction that is parallel to the local surface normal.  For the "direct" component, an extra adjective like "slope_corrected" may be needed.  See: [http://en.wikipedia.org/wiki/Earth%27s_radiation_balance Earth's radiation balance].
:
* A process name frequently precedes the base quantity "flux" in accordance with the '''Process_name + Quantity Pattern'''.  Examples include "evaporation_volume_flux",  "precipitation_mass_flux".
:
* It turns out that '''''stress''''' and '''''momentum flux''''' both have the same units of Pascals (or N m-2, or kg m-1 s-2).  When a fluid exerts a shear stress on a boundary, this results in a momentum flux into the boundary and this loss of momentum slows the flow.
:
* What about "luminous flux" (for visible light)? See: [http://en.wikipedia.org/wiki/Luminous_flux Luminous flux].
:
* See: [http://en.wikipedia.org/wiki/Flux Flux], [http://en.wikipedia.org/wiki/Transport_phenomena Transport phenomena].
:
* "Discharge" is a volume flow rate and not a flux.  See Discharge.
:
* "momentum_diffusivity" [m2 s-1] is a nickname for kinematic_viscosity
:
:
* See the Precipitation section.
* In the [http://cfconventions.org/Data/cf-standard-names/27/build/cf-standard-name-table.html CF Standard Names], "flux" may be preceded by the words: <br/> mass, momentum, <br/> energy, heat, longwave, shortwave, radiative,  <br/> water, vapor, evaporation, <br/> palm, photon, mole, salt <br/> Units are [W m-2] for the "energy fluxes" such as: "heat", "longwave", "shortwave" and "radiative".  In addition, "shortwave_radiation" is abbreviated to "shortwave".
:
:
* Typically preceded by a process name modifier. See [[ CSN_Process_Names | CSDMS Process Names ]] for a list of process names.
* See the templates for Concentration, Discharge and Flow Rate.


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== {{ Bar Heading| text=Elevation}} ==
== {{ Bar Heading| text=Force}} ==


&nbsp; base_quantity = "elevation"
&nbsp; base_quantity = "force"  <br/>
&nbsp; quantity = "braking_force"  <br/>
&nbsp; quantity = "drag_force"  <br/>
&nbsp; quantity = "impact_force"  <br/>
&nbsp; quantity = "lift_force"


&nbsp; ''Examples''
&nbsp; ''Examples''
  bedrock_surface__elevation
  automobile__braking_force
ground_water-table_surface__elevation
land_surface__elevation
sea_surface__elevation


* The word "altitude" is reserved for objects that are above and not in contact with the land surface. (e.g. aircraft, air parcel, balloon)
* A force may be thought of as a push or a pull exerted on an object and has SI units of Newtons.  Note that "weight" is also a force.
:
* See the quantity templates for Altitude, Depth, Height, Thickness.
:
:
* See the object template for Surface. Elevation is one of many attributes that can be associated with a surface.
* See [https://en.wikipedia.org/wiki/Force Force].
:
* See Reference Quantities.


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== {{ Bar Heading| text=Energy}} ==


&nbsp; base_quantity = "energy" <br/>
== {{ Bar Heading| text=Fraction}} ==
&nbsp; quantity = "electric_energy" <br/>
 
&nbsp; quantity = "free_energy" <br/>
&nbsp; quantity_suffix = "fraction" <br/>
&nbsp; quantity = "internal_energy" <br/>
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; quantity = "kinetic_energy" <br/>
&nbsp; "area_fraction" <br/>
&nbsp; quantity = "potential_energy" <br/>
&nbsp; "mass_fraction" <br/>
&nbsp; quantity = "specific_energy" <br/>
&nbsp; "mole_fraction" <br/>
&nbsp; quantity = "thermal_energy"
&nbsp; "time_fraction" <br/>
&nbsp; "volume_fraction"


&nbsp; ''Examples''
&nbsp; ''Examples''
  ball__potential_energy
  basin_land~forested__area_fraction
  turbulence__kinetic_energy
  basin_land~grassland__area_fraction
  water__gibbs_free_energy
 
 
earth_surface_land__area_fraction
* The SI unit for energy is Joules.
earth_surface_water__area_fraction
  # surface of a 3D region vs. mathematical surface
 
region_state_land~agricultural__area_fraction
region_state_land~arable__area_fraction
region_state_land~burned__area_fraction
region_state_land~cloud-covered__area_fraction
region_state_land~commercial__area_fraction
region_state_land~dry__area_fraction
region_state_land~farmed__area_fraction
region_state_land~flooded__area_fraction
region_state_land~flooded__max_of_depth  ####
region_state_land~forested__area_fraction
region_state_land~grassland__area_fraction
region_state_land~grazing__area_fraction
region_state_land~ice-covered__area_fraction
region_state_land~irrigated__area_fraction
region_state_land~lake-covered__area_fraction
region_state_land~water-covered__area_fraction
region_state_land~parkland__area_fraction
region_state_land~private__area_fraction
region_state_land~public__area_fraction
region_state_land~residential__area_fraction
region_state_land~snow-covered__area_fraction
region_state_land~urban__area_fraction
region_state_land~vegetated__area_fraction
region_state_land~wetland_fraction
 
rocket_payload__mass_fraction
rocket_propellant__mass_fraction  (See: [http://en.wikipedia.org/wiki/Propellant_mass_fraction Propellant mass fraction].)
   
sea_water_oxygen__volume_fraction
   
soil_air__volume_fraction    (Object-in-Object Pattern)
soil_clay__volume_fraction
soil_ice__volume_fraction
soil_loam__volume_fraction
soil_sand__volume_fraction
  soil_silt__volume_fraction
soil_water__volume_fraction    (instead of "soil" + "water_content")  #####
* The word "fraction" can be viewed as a "quantity suffix" (as defined at the top) that can be applied to any base quantity (e.g. area, mass, mole, time, volume) to create a new quantity.  In most (if not all) cases it is dimensionless.
:
:
* Specific energy is energy per unit volume or mass.
* In order for "area_fraction" and "volume_fraction" to be well-defined, the object part of the name should ideally refer to a 2D or 3D shape (e.g. polygon or polytope) for which the area or volume can be computed. (e.g. for 2D, a state or a drainage basin)
:
:
* Some possible forms of energy are thermal, chemical, radiant, nuclear, magnetic, elastic sound, mechanical, luminous and massSee [http://en.wikipedia.org/wiki/Energy Energy].
* If an "area fraction" variable name is used with gridded data, then the "area_fraction" applies to the area of the grid cellIf the area fraction applies to some specific domain or object, such as a U.S. state or a drainage basin, then constructions like: "basin_land~forested + area_fraction" can be used and conform to the '''Part of Another Object Pattern'''.
:
:
* See [http://en.wikipedia.org/wiki/Gibbs_free_energy Gibbs free energy], [http://en.wikipedia.org/wiki/Helmholtz_free_energy Helmholtz free energy] and [http://en.wikipedia.org/wiki/Thermodynamic_free_energy Thermodynamic free energy].
* The quantity '''''area_fraction''''' is often used in connection with the fraction of land (in map or plan view) that meets some criteria.   Adjectives like "burned", "forested", "public" and "urban" can be used to define the criteria as shown in the examples. As of 7/23/14, hyphenated adjectives like "snow-covered" are allowed.
 
:
* If an "area fraction" variable name is meant to distinguish between two possible states, such as land and water, then a reserved word like "vs" (or "to") could be used in a construction like: "land-vs-water + area_fraction".
:
* Variable names with "volume fraction" usually use the '''Object-in-object Quantity Pattern''' as in the examples.
:
* In the CF Standard Names, "fraction" is used in 306 names to form the following 5 quantities where the number of occurrences is indicated in parentheses:
area_fraction (19)
mass_fraction (179)
mole_fraction (95)
time_fraction (2)
volume_fraction (11)
 
: The ones for "volume_fraction" fall into 5 groups:
ocean_volume_fraction
volume_fraction_of_oxygen_in_sea_water
volume_fraction_of_[clay, silt or sand]_in_soil
volume_fraction_of_condensed_water_in_soil + [assumptions]
volume_fraction_of_frozen_water_in_soil
 
: Hydrologists typically use the shorter term "soil_water_content" instead of "volume_fraction_of_condensed_water_in_soil". However, using "soil_water~condensed + volume_fraction" instead is consistent with the '''Object-in-object Quantity Pattern'''.
 
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== {{ Bar Heading| text=Exponent}} ==


&nbsp; base_quantity = "exponent"
== {{ Bar Heading| text=Frequency}} ==
 
&nbsp; base_quantity = "frequency"  [1/second]  (but the meaning is "cycles per second") <br/>
 
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; "angular_frequency"  [radians/second] <br/>
&nbsp; "nyquist_frequency" [1/second]


&nbsp; ''Examples''
&nbsp; ''Examples''
  channel_water_suspended-sediment__volume_flow_rate_law_area_exponent
  cesium_atom__characteristic_emission_frequency
  channel_water_suspended-sediment__volume_flow_rate_law_coefficient
  sea_water__brunt_vaisala_frequency  (also called "buoyancy_frequency")
  glacier__glen_law_coefficient
  sea_surface_water_wave__frequency
glacier__glen_law_exponent
watershed__flint_law_coefficient
watershed__flint_law_exponent
watershed__hack_law_coefficient
watershed__hack_law_exponent


* Exponents often occur in empirical laws.
* Units of frequency are usually hertz = [1/second].
:
:
* Systems that can undergo [http://en.wikipedia.org/wiki/Phase_transitions phase transitions] are often characterized by a [http://en.wikipedia.org/wiki/Critical_exponents critical exponent].
* Note that the word "frequency" alone means '''''temporal frequency''''' and "wavenumber" means '''''spatial frequency'''''. Note that "angular_frequency" is distinct from "frequency" and "angular_wavenumber" is distinct from "wavenumber", but they are closely related quantities.
:
:
* See Coefficient, Constant, Factor, Index, Number and Parameter.
* For periodic waves, the frequency is equal to the phase velocity divided by the wavelength.  See the Period and Wavelength templates.
:
* See [http://en.wikipedia.org/wiki/Angular_frequency Angular frequency], [http://en.wikipedia.org/wiki/Brunt–Väisälä_frequency Brunt–Väisälä frequency], [http://en.wikipedia.org/wiki/Frequency Frequency], [http://en.wikipedia.org/wiki/Normalized_frequency_(digital_signal_processing) Normalized frequency] and [http://en.wikipedia.org/wiki/Nyquist_frequency Nyquist frequency].


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== {{ Bar Heading| text=Factor}} ==
== {{ Bar Heading| text=Friction}} ==
 
&nbsp; base_quantity = "factor"
 
&nbsp; ''Examples''
[http://en.wikipedia.org/wiki/Cunningham_correction_factor particle__cunningham_correction_factor]
oscillator__q_factor
pipe_water__darcy_friction_factor  (same as moody_friction_factor)
pipe_water__fanning_friction_factor
sine_wave__crest_factor
sun__protection_factor
 
* Use "manning_coefficient" instead of "manning_friction_factor".
:
:
* Many different types of [http://en.wikipedia.org/wiki/Shape_factor_(image_analysis_and_microscopy) Shape factor] are used in image analysis, such as the "circularity_shape_factor", "elongation_shape_factor", "compactness_shape_factor" and "waviness_shape_factor".
* Friction is not a quantity and is really a '''force''' as opposed to a process.  It is not included in this list of [[CSN_Process_Names | CSDMS Process Names]] because it doesn't fit the general verb-to-noun process name pattern explained on that page. The word "traction" has similar issues.
:
:
* A model may use an "adjustment_factor", "correction_factor" or "compensation_factor".
* The adjective "frictional" is used in terms like "frictional_momentum_loss_rate".  But the net loss of momentum (per unit time and per unit area) due to friction in a fluid is equivalent to the '''shear stress'''. Note that both have units [M L T-2].  See the template for Stress.
:
:
* See: [http://en.wikipedia.org/wiki/Atomic_form_factor Atomic form factor] (or atomic scattering factor), [http://en.wikipedia.org/wiki/Crest_factor Crest factor], [http://en.wikipedia.org/wiki/Q_factor Q factor], [http://en.wikipedia.org/wiki/Sun_protection_factor#Sun_Protection_Factor Sun Protection Factor (SPF)] and [http://en.wikipedia.org/wiki/View_factor View factor].
* Some quantities associated with friction are:
kinetic_friction_coefficient  (See the Coefficient template.)
log_law_roughness_length  ("z0" for law of the wall)
manning_n_parameter
 
shear_stress  (See the Stress template.)
static_friction_coefficient
:
:
* See Coefficient, Constant, Exponent, Index, Number and Parameter.
* A Google search indicates that "friction_rate" is sometimes used in connection with air ducts.


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== {{ Bar Heading| text=Flag}} ==
== {{ Bar Heading| text=Fuel Efficiency}} ==


&nbsp; base_quantity = "flag"
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; "consumption_rate"     ["gallons per mile" or "liters per km"]  (of fuel) <br/>
&nbsp; "fuel-economy"              ["miles per gallon" or "km per liter"] <br/>
&nbsp; "mass-specific_energy_content"  [Joules / kg] <br/>


&nbsp; ''Examples''
&nbsp; ''Examples''
  model__**_option_flag
  automobile_fuel__consumption_rate
automobile__fuel-economy
automobile_fuel__mass-specific_energy_content


* We may want to allow "flag" as a quantity since many models provide options as boolean values known as "flags".  It isn't clear yet, however, how these would be shared between models or what the object_name would be.
* In everyday language, the term "miles_per_gallon" is often used as if it were a quantity name but it is really a units name.  "mileage" has various meanings and is not a well-defined quantity name.
:
* energy_efficiency and energy_intensity are related quantities.
:
* Efficiency of electric vehicles is often given as "cents_per_mile" which allows comparison to gas-powered vehicles.
:
:
* See [http://en.wikipedia.org/wiki/Flag_(computing) Flag (computing)].
* See:  [http://en.wikipedia.org/wiki/Fuel_efficiency#Fuel_efficiency_of_vehicles Fuel efficiency of vehicles] and [http://en.wikipedia.org/wiki/Efficient_energy_use Efficient energy use].


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== {{ Bar Heading| text=Flow Rate}} ==


&nbsp; base_quantity = "flow_rate" <br/>
== {{ Bar Heading| text=Hardness}} ==
&nbsp; quantity = "mass_flow_rate" <br/>
 
&nbsp; quantity = "momentum_flow_rate" <br/>
&nbsp; base_quantity = "hardness" <br/>
&nbsp; quantity = "energy_flow_rate" <br/>
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; quantity = "volume_flow_rate" <br/>
&nbsp; "indentation_hardness" <br/>
&nbsp; quantity = "mole_flow_rate"
&nbsp; "rebound_hardness" <br/>
&nbsp; "scratch_hardness"


&nbsp; ''Examples''
&nbsp; ''Examples''
  channel_water__incoming_volume_flow_rate  (##### or channel_entrance__volume_flow_rate ???
  snowpack_surface__indentation_hardness
channel_water_suspended-sediment__outgoing_mass_flow_rate
lake_water__incoming_volume_flow_rate
watershed_outlet_water__outgoing_volume_flow_rate


* The quantity name "flow_rate" can be ambiguous in the context of a fluid that can either flow into or out of the object in the object part of the name.  In such cases, the process names "inflow" and "outflow" can be used instead of "flow" and are viewed relative to the object.  While "discharge" is commonly used as a quantity name in hydrology, it connotes a volume outflow rate and sounds strange when used to refer to a volume ''inflow''.  In the CSDMS Standard Names, the quantity "discharge" is viewed as equivalent to "volume_outflow_rate".
* Hardness is a function of many things and there are 3 main types of hardness measurements called indentation hardness, rebound hardness and scratch hardness.
:
* The base quantity "rate" implies that units of inverse time are added to the units of the quantity that is being transported.  For example, in SI units we have:
mass_flow_rate      [ kg s-1 ]
momentum_flow_rate  [ kg m s-2 ]
energy_flow_rate    [ J s-1 ] = [ W ]
volume_flow_rate    [ m3 s-1 ]
mole_flow_rate      [ mol s-1 ]
:
* "Energy flow rate" is also known as "power".  See: [http://en.wikipedia.org/wiki/Power_(physics) Power].
:
:
* See: [http://en.wikipedia.org/wiki/Discharge_(hydrology) Discharge],[http://en.wikipedia.org/wiki/Volumetric_flow_rate Volumetric flow rate] and [http://en.wikipedia.org/wiki/Mass_flow_rate Mass flow rate].
* See [http://en.wikipedia.org/wiki/Hardness Hardness] and [http://en.wikipedia.org/wiki/Scratch_hardness Scratch hardness].
:
:
* See the templates for Discharge, Flux and Rate of a Process.
* The word hardness is also used in chemistry, in the context of "hard water".  See: [http://en.wikipedia.org/wiki/Carbonate_hardness Carbonate hardness] and [http://en.wikipedia.org/wiki/Hard_water Hard water].  ''Permanent hardness'' is defined as Calcium hardness + Magnesium hardness, while ''temporary hardness'' is a synonym for Carbonate hardness.  Water hardness can be measured as a '''molar concentration''' of calcium and magnesium ions, but several alternate units are used around the world and there are conversion factors between them.


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== {{ Bar Heading| text=Flux}} ==
== {{ Bar Heading| text=Head}} ==


&nbsp; base_quantity = "flux" <br/>
&nbsp; base_quantity = "head" <br/>
&nbsp; quantity = "mass_flux" <br/>
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; quantity = "momentum_flux" <br/>
&nbsp; "friction_head" <br/>
&nbsp; quantity = "energy_flux" <br/>
&nbsp; "hydraulic_head" <br/>
&nbsp; quantity = "volume_flux" <br/>
&nbsp; "pressure_head" <br/>
&nbsp; quantity = "mole_flux" (perhaps this should be "number_flux" to be independent of units.) <br/>
&nbsp; "velocity_head"
&nbsp; quantity = process_name + "_flux"  &nbsp; (e.g. "irradiation_flux")


&nbsp; ''Examples''
&nbsp; ''Examples''
  atmosphere__absorbed_incoming_shortwave_radiation_flux
  pump__hydraulic_head
  land_surface__outgoing_longwave_radiation_flux      (emitted and upward)
  soil_water__pressure_head
land_surface__incoming_longwave_radiation_flux    (incident and downward)
 
sea_floor_surface__incoming_shortwave_radiation_flux
* Head is a quantity used in fluid dynamics (hydraulics) that relates the energy in an incompressible fluid to the an equivalent height in a column of fluid.  It has units of length.
sea_surface__reflected_incoming_shortwave_radiation_flux
sea_water__downward_incoming_shortwave_radiation_flux
* See the section on Radiation on the [[CSN_Quantity_Templates | CSDMS Quantity Templates]] page for many examples of radiation fluxes.
:
:
* In the context of "transport phenomena", the definition of "flux" is '''''flow rate per unit area'''''.  In addition to the phrase "per unit area", this definition includes the word '''''rate''''' which implies per unit time.  So the base quantity "flux" implies that units of [m-2 s-1] are added to the units of the quantity  that is being transported. For example, in SI units we have:
* "Total hydraulic head" is the sum of the elevation head and pressure head.
mass_flux        [ kg m-2 s-1 ]
momentum_flux    [ kg m s-1 m-2 s-1 ]  = [ kg m-1 s-2 ] = [ Pa ]      (force per unit area, same units as "pressure")
energy_flux      [ W m-2 ] = [ J m-2 s-1 ]
volume_flux      [ m s-1]  = [ m3 m-2 s-1 ]
mole_flux        [ mol m-2 s-1 ]
:
:
* "Flux" can also be understood as "surface bombardment rate".
* The "hydraulic_gradient" is computed by taking differences or derivatives of head values and determines the direction of fluid flow.
:
:
* "Flow rate" is the total amount of the transported quantity per unit time, or the product of an area and a flux.  Replacing "flux" with "flow_rate" in a quantity name results in a different, but also valid quantity.
* See: [http://en.wikipedia.org/wiki/Hydraulic_head Hydraulic head], [http://en.wikipedia.org/wiki/Pressure_head Pressure head] and [http://en.wikipedia.org/wiki/Total_dynamic_head Total hydraulic head].
 
<br/>
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== {{ Bar Heading| text=Heat}} ==
 
&nbsp; base_quantity = "heat" <br/>
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; "mass-specific_fusion_latent_heat" <br/>
&nbsp; "sensible_heat"
 
&nbsp; ''Examples''
water__mass-specific_latent_fusion_heat          (334 [kJ kg-1])
water__mass-specific_latent_sublimation_heat
water__mass-specific_latent_vaporization_heat    (2500 [kJ kg-1])
 
* The quantity "heat" refers to "thermal energy" that is being transferred from one system to another by thermal interaction.  It has SI units of Joules.
:
:
* The examples above show how the object name can be either a '''''surface''''' or a '''''medium'''''.  Either type of object can potentially "absorb", "emit", "reflect" or "transmit" a flux.
* The word "specific" is often inserted as in "specific_latent_heat" and "specific_sensible_heat" to indicate thermal energy per unit mass [J kg-1].
:
:
* An energy flux ''emitted by'' an object is a quantity called '''''outgoing_radiation_flux''''' (positive if outgoing).  An energy flux that is ''received by'' or ''incident on'' an object is a quantity called '''''incoming_radiation_flux''''' (positive if incoming).  That is, the sun "radiates" energy and the earth is "irradiated" by this energy.  This distinction means that "incident_radiation" serves as a synonym for "irradiation" and "emitted_radiation" as a synonym for "radiation". Some objects, like a land surface, can radiate longwave energy or be irradiated by longwave energy. In such cases, the term "outgoing_radiation_flux" establishes a sign convention that "outgoing is positive"Similarly, "incoming_radiation_flux" implies "incoming is positive".  Process names often occur in pairs that indicate "incoming" or "outgoing", such as "emigration" and "immigration" or "exporting" and "importing".  Note that a process name, like "radiation" represents an action that applies to the object in the object name part.
* While the "latent heat of fusion" and "latent heat of vaporization" are constants for a given substance (e.g. water), they don't use the Constant template but are treated as in the two examples above in accordance with the '''Process_name + Quantity Pattern'''Note that "latent_heat" is a quantity name and "fusion" and "vaporization" are process names.
:
:
* The shortwave radiation incident on the land surface is typically modeled as the sum of three components, called '''''direct''''', '''''diffuse''''' and '''''backscattered'''''.  Only the "direct" component (radiation from the sun, transmitted directly through the atmosphere to the surface) is dependent on topographic slope and aspect.  The other two are emitted (via reflections from aerosols) isotropically by the atmosphere so they appear to be arriving from a direction that is parallel to the local surface normal.  For the "direct" component, an extra adjective like "slope_corrected" may be needed.  See: [http://en.wikipedia.org/wiki/Earth%27s_radiation_balance Earth's radiation balance].
* The quantities "advection_heat_flux", "conduction_heat_flux", "latent_heat_flux" and "sensible_heat_flux" are also used.
:
:
* A process name frequently precedes the base quantity "flux" in accordance with the '''Process_name + Quantity Pattern'''. Examples include "evaporation_flux", "radiation_flux", "precipitation_flux". Note that "precipitation_rate", "evaporation_rate",  "infiltration_rate", "melt_rate" and "uplift_rate" are standard quantity names with units of [m s-1] and each is actually a '''''volume flux'''''.
* See: [http://en.wikipedia.org/wiki/Heat Heat], [http://en.wikipedia.org/wiki/Latent_heat Latent heat], [http://en.wikipedia.org/wiki/Sensible_heat Sensible heat] and [http://en.wikipedia.org/wiki/Thermodynamic_databases_for_pure_substances Thermodynamic databases for pure substances].
:
:
* See: [http://en.wikipedia.org/wiki/Flux Flux], [http://en.wikipedia.org/wiki/Transport_phenomena Transport phenomena].
* See Energy and Flux of Heat or Energy.
:
* "Discharge" is a volume flow rate and not a flux.  See Discharge.
:
* "momentum_diffusivity" [m2 s-1] is a nickname for kinematic_viscosity
:
* In the [http://cf-pcmdi.llnl.gov/documents/cf-standard-names/ CF Standard Names], "flux" may be preceded by the words: <br/> mass, momentum, <br/> energy, heat, longwave, shortwave, radiative,  <br/> water, vapor, evaporation, <br/> palm, photon, mole, salt <br/> Units are [W m-2] for the "energy fluxes" such as: "heat", "longwave", "shortwave" and "radiative".  In addition, "shortwave_radiation" is abbreviated to "shortwave".
:
* See the templates for Concentration, Discharge and Flow Rate.


<br/>  
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== {{ Bar Heading| text=Fraction}} ==
== {{ Bar Heading| text=Height}} ==


&nbsp; quantity_suffix = "fraction" <br/>
&nbsp; base_quantity = "height" <br/>
&nbsp; quantity = "area_fraction" <br/>
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; quantity = "mass_fraction" <br/>
&nbsp; "geopotential_height" <br/>
&nbsp; quantity = "mole_fraction" <br/>
&nbsp; "reference_height"
&nbsp; quantity = "time_fraction" <br/>
&nbsp; quantity = "volume_fraction"


&nbsp; ''Examples''
&nbsp; ''Examples''
  earth_surface_land_covered__area_fraction
  building~empire-state__height
  earth_surface_water_covered__area_fraction
  human__mean_height
  # surface of a 3D region vs. mathematical surface
  tree~oak~bluejack__mean_height
 
land_agricultural_portion__area_fraction
land_arable_portion__area_fraction
land_burned_portion__area_fraction
land_clouded_portion__area_fraction  # (cloud_covered ??)
land_farmed_portion__area_fraction
land_flooded_portion__area_fraction
land_flooded_portion_water__max_of_depth
land_forested_portion__area_fraction
land_glaciated_portion__area_fraction  # (ice_covered ??)
land_grazing_portion__area_fraction  #####
land_irrigated_portion__area_fraction
land_lake_covered_portion__area_fraction
land_water_covered_portion__area_fraction
land_privately_owned_portion__area_fraction
land_publicly_owned_portion__area_fraction
land_snow_covered_portion__area_fraction
land_urban_portion__area_fraction
land_vegetated_portion__area_fraction
land_wetland_covered_portion__area_fraction
watershed_forested_portion__area_fraction
 
rocket_payload__mass_fraction
rocket_propellant__mass_fraction  (See: [http://en.wikipedia.org/wiki/Propellant_mass_fraction Propellant mass fraction].)
 
soil_clay__volume_fraction  (using object_in_object pattern)
soil_sand__volume_fraction
  soil_silt__volume_fraction


sea_water_oxygen__volume_fraction  (modified from CF name below) 
* See [http://en.wikipedia.org/wiki/Geopotential_height Geopotential height], [http://en.wikipedia.org/wiki/Geostrophic_wind Geostrophic wind] and [http://en.wikipedia.org/wiki/Above_mean_sea_level Above mean sea level].
soil_frozen-water__volume_fraction  (modified from CF name below)
* The word "fraction" can be viewed as a "quantity suffix" (as defined at the top) that can be applied to any base quantity (e.g. area, mass, mole, time, volume) to create a new quantity. In most (if not all) cases it is dimensionless.
:
:
* In order for "area_fraction" and "volume_fraction" to be well-defined, the object part of the name should ideally refer to a 2D or 3D shape (e.g. polygon or polytope) for which the area or volume can be computed.
* See Reference Quantities.
 
<br/>
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== {{ Bar Heading| text=Humidity and Relative Saturation}} ==
 
&nbsp; base_quantity = "humidity" <br/>
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; "absolute_humidity"  (is "volumetric_humidity" a synonym ?) <br/>
&nbsp; "relative_humidity" <br/>
&nbsp; "relative_saturation" <br/>
&nbsp; "specific_humidity" <br/>
 
&nbsp; ''Examples''
atmosphere_air_carbon-dioxide__relative_saturation  ## CHECK
atmosphere_air_water~vapor__relative_saturation  (instead of air_relative_humidity)
 
* Relative humidity is a dimensionless ratio of partial pressures.  It is defined as the ratio of the partial pressure of water vapor in the air-water mixture (often called the "vapor pressure") to the saturated vapor (partial) pressure of the water at a prescribed temperature.
:
:
* The quantity '''''area_fraction''''' is often used in connection with the fraction of land (in map or plan view) that meets some criteria.   Adjectives like "burned", "forested", "public" and "urban" can be used to define the criteria as shown in the examples.  As of 7/23/14, hyphenated adjectives like "snow-covered" are allowed.
* The relative humidity is often known (measured) and empirical equations for computing saturated vapor pressure as a function of temperature have been given by both Brutsaert and Satterlund. From these, vapor pressure can be computed from the definition.
:
:
* If an "area fraction" variable name is meant to distinguish between two possible states, such as land and water, then the reserved word "vs" can be used in a construction like: "land_vs_water__area_fraction". Or should we just use: "dry_land__area_fraction"?
* Relative humidity of air depends on both temperature and pressure.
:
:
*If an "area fraction" variable name is used with gridded data, then the "area_fraction" applies to the area of the grid cell.  If the area fraction applies to some specific domain or object, such as a U.S. state or a watershed, then constructions like: "watershed_forested-land__area_fraction" can be used and conform to the '''Part of Another Object Pattern'''.
* The more general term for relative humidity (when not talking about water vapor in air) is '''relative_saturation'''. It is the ratio of the partial pressure to the saturated partial pressure of one (condensable phase) gas in another (non-condensable phase) gas mixture.
:
 
* Variable names with "volume fraction" usually use the '''Object-in-object Quantity Pattern''' as in the examples.
<br/>
:
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* In the CF Standard Names, "fraction" is used in 306 names to form the following 5 quantities where the number of occurrences is indicated in parentheses:
== {{ Bar Heading| text=Impedance}} ==
area_fraction (19)
mass_fraction (179)
mole_fraction (95)
time_fraction (2)
volume_fraction (11)
 
: The ones for "volume_fraction" fall into 5 groups:
ocean_volume_fraction
volume_fraction_of_oxygen_in_sea_water
volume_fraction_of_[clay, silt or sand]_in_soil
volume_fraction_of_condensed_water_in_soil + [assumptions]
volume_fraction_of_frozen_water_in_soil


: Hydrologists typically use the shorter term "soil_water_content" instead of "volume_fraction_of_condensed_water_in_soil".  However, using "water_in_soil_volume_fraction" instead would be consistent with the '''Object-in-object Quantity Pattern'''.
&nbsp; base_quantity = "impedance" <br/>
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; "acoustic_impedance" <br/>
&nbsp; "characteristic_acoustic_impedance" <br/>
&nbsp; "characteristic_electrical_impedance" <br/>
&nbsp; "electrical_impedance" <br/>
&nbsp; "mechanical_impedance" <br/>
&nbsp; "nominal_electrical_impedance" <br/>
&nbsp; "specific_acoustic_impedance" <br/>
&nbsp; "wave_impedance" <br/>


<br/>
&nbsp; ''Examples''
<!-- ============================================= -->
None yet


== {{ Bar Heading| text=Friction}} ==
* Electrical impedance is a complex-valued quantity, where the real part is the familiar [http://en.wikipedia.org/wiki/Electrical_resistance '''resistance'''] (with SI unit "ohm") and the imaginary part is the less-familiar [http://en.wikipedia.org/wiki/Electrical_reactance '''reactance'''].
:
* Friction is not a quantity and is really a '''force''' as opposed to a process.  It is not included in this list of [[CSN_Process_Names | CSDMS Process Names]] because it doesn't fit the general verb-to-noun process name pattern explained on that page. The word "traction" has similar issues.
:
:
* The adjective "frictional" is used in terms like "frictional_momentum_loss_rate"But the net loss of momentum (per unit time and per unit area) due to friction in a fluid is equivalent to the '''shear stress'''. Note that both have units [M L T-2].  See the template for Stress.
* [http://en.wikipedia.org/wiki/Admittance '''Admittance'''] is defined as the inverse of impedance, and is therefore also complex-valuedIts real part is called '''conductance''' (with SI unit "siemens") and its complex part is called: [http://en.wikipedia.org/wiki/Susceptance '''susceptance'''].
:
:
* Some quantities associated with friction are:
* See: [http://en.wikipedia.org/wiki/Acoustic_impedance Acoustic impedance], [http://en.wikipedia.org/wiki/Electrical_impedance Electrical impedance], [http://en.wikipedia.org/wiki/Impedance_(Accelerator_Physics) Impedance (Accelerator Physics)], [http://en.wikipedia.org/wiki/Mechanical_impedance Mechanical impedance] and [http://en.wikipedia.org/wiki/Wave_impedance Wave impedance].
kinetic_friction_coefficient  (See the Coefficient template.)
manning_roughness_coefficient
mean_roughness_length  ("z0" for law of the wall)
shear_stress  (See the Stress template.)
static_friction_coefficient
:
:
* A Google search indicates that "friction_rate" is sometimes used in connection with air ducts.
* Also see: [http://en.wikipedia.org/wiki/Capacitance Capacitance], [http://en.wikipedia.org/wiki/Electrical_reactance Electrical reactance], [http://en.wikipedia.org/wiki/Electrical_resistance Electrical resistance] and [http://en.wikipedia.org/wiki/Inductance Inductance].


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== {{ Bar Heading| text=Frequency}} ==
== {{ Bar Heading| text=Impulse}} ==


&nbsp; base_quantity = "frequency" [1/second] <br/>
&nbsp; base_quantity = "impulse" <br/>
&nbsp; quantity = "angular_frequency" [radians/second]
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; "impact_impulse"


&nbsp; ''Examples''
&nbsp; ''Examples''
  cesium_atom__characteristic_emission_frequency
  baseball-bat_baseball__impact_impulse
sea_water__brunt_vaisala_frequency  (also called "buoyancy_frequency")
 
  sea_water_surface_wave__frequency
* An "impulse" quantifies the change in linear momentum that results from a force applied over a time interval. It has units of (force x time), and SI units of [N s].
 
* Units of frequency are usually hertz = [1/second].
:
* For periodic waves, the frequency is equal to the phase velocity divided by the wavelength.  See the Period and Wavelength templates.
:
* See [http://en.wikipedia.org/wiki/Brunt–Väisälä_frequency Wikipedia: Brunt–Väisälä frequency].
:
:
* See [http://en.wikipedia.org/wiki/Normalized_frequency_(digital_signal_processing) Normalized frequency], [http://en.wikipedia.org/wiki/Nyquist_frequency Nyquist frequency].
* See: [http://en.wikipedia.org/wiki/Impulse_(physics) Impulse (physics)].


<br/>  
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== {{ Bar Heading| text=Fuel Efficiency}} ==


&nbsp; quantity = "fuel_consumption_rate"    ["gallons per mile" or "liters per km"] <br/>
== {{ Bar Heading| text=Increment}} ==
&nbsp; quantity = "fuel_economy"              ["miles per gallon" or "km per liter"] <br/>
 
&nbsp; quantity = "fuel_specific_energy_content" [Joules / kg] <br/>
&nbsp; operation_prefix = "increment_of"


&nbsp; ''Examples''
&nbsp; ''Examples''
  automobile_fuel__consumption_rate
  atmosphere_air__increment_of_pressure
  automobile_fuel__economy
  bedrock_surface__increment_of_elevation
  gm_hummer_fuel__consumption_rate
  land_surface__increment_of_elevation
toyota_corolla_fuel__economy


* In everyday language, the term "miles_per_gallon" is often used as if it were a quantity name but it is really a units name. "mileage" has various meanings and is not a well-defined quantity name.
* This can be used for the change in a quantity that occurs over some time period, such as a model time step. Models often update state variables with each time step by an incremental amount and this amount may be the quantity of interest.  Note that an increment can be positive or negative.  
:
:
* Is there a good "process - rate" quantity name for "fuel_economy" ? We could potentially replace "economy" with "per_gallon_miles".
* Before 3/19/13 this was treated as a '''quantity suffix''' but now it is treated as an "operation prefix".  See Anomaly, Component, Limit, Magnitude, Ratio and Scale.
:
:
* energy_efficiency and energy_intensity are related quantities.
* For an "increment_of_time", the quantity suffix "step" is usually used instead of "increment". See the Step and Time Step templates.
:
* Efficiency of electric vehicles is often given as "cents_per_mile" which allows comparison to gas-powered vehicles.
:
* See:  [http://en.wikipedia.org/wiki/Fuel_efficiency#Fuel_efficiency_of_vehicles Fuel efficiency of vehicles] and [http://en.wikipedia.org/wiki/Efficient_energy_use Efficient energy use].


<br/>  
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== {{ Bar Heading| text=Head}} ==


&nbsp; base_quantity = "head" <br/>
== {{ Bar Heading| text=Index}} ==
&nbsp; quantity = "friction_head" <br/>
 
&nbsp; quantity = "hydraulic_head" <br/>
&nbsp; base_quantity = "index"
&nbsp; quantity = "pressure_head" <br/>
&nbsp; quantity = "velocity_head"


&nbsp; ''Examples''
&nbsp; ''Examples''
  pump__hydraulic_head
  atmosphere_air_radiation__standard_refraction_index
  soil_water__pressure_head
  consumer__price_index
ecosystem__diversity_index
land_surface__topographic_wetness_index
model_grid_cell__column_index
model_grid_cell__row_index
__normalized_difference_vegetation_index  ################
__palmer_drought_index


* Head is a quantity used in fluid dynamics (hydraulics) that relates the energy in an incompressible fluid to the an equivalent height in a column of fluidIt has units of length.
* The word "index" serves as a '''''base quantity''''' in the CSDMS Standard Names.  It has two distinct meanings.  One meaning of index is a subscript to an array, as used in "model_grid_cell__column_index" and "model_grid_cell__row_index" above.  In this case, the index is a nonnegative integer.  A second, and widely-used meaning for index is a '''composite statistic''' or '''measure'''.  See the Wikipedia article: [http://en.wikipedia.org/wiki/Index_(statistics) Index (statistics)].  Examples of this type include: Consumer Price Index, Normalized Difference Vegetation Index, Palmer Drought Index,  Topographic Wetness Index and Urban Accessibility Index and others listed below.
:
* Perhaps we should use the word ''subscript'' instead of index for the first meaning of index above.
:
* In order to distinguish between many different indices of a certain type, such as a [http://en.wikipedia.org/wiki/Diversity_index ''diversity index''], the last name of the author who introduced a particular index (and also the publication year, if necessary) can be used as a prefix to disambiguate, as in ''shannon_diversity_index''.
:
:
* "Total hydraulic head" is the sum of the elevation head and pressure head.
* We use "refraction_index" instead of "refractive_index" in accordance with the '''Process_name + Quantity Pattern'''.  See Attributes of Radiation for information on the "standard_refraction_index".
:
:
* The "hydraulic_gradient" is computed by taking differences or derivatives of head values and determines the direction of fluid flow.
* See Coefficient, Constant, Exponent, Factor, Number and Parameter.
:
:
* See: [http://en.wikipedia.org/wiki/Hydraulic_head Hydraulic head], [http://en.wikipedia.org/wiki/Pressure_head Pressure head] and [http://en.wikipedia.org/wiki/Total_dynamic_head Total hydraulic head].
* See: [http://en.wikipedia.org/wiki/Diversity_index Diversity index], [http://en.wikipedia.org/wiki/Forest_fire_weather_index Forest fire weather index], [http://en.wikipedia.org/wiki/Haines_Index Haines index], [http://en.wikipedia.org/wiki/Heat_index Heat index], [http://en.wikipedia.org/wiki/Index_(economics) Index (economics)], [http://en.wikipedia.org/wiki/Index_(statistics) Index (statistics)], [http://en.wikipedia.org/wiki/Jaccard_index Jaccard index], [http://en.wikipedia.org/wiki/Lifted_index Lifted index], [http://en.wikipedia.org/wiki/Normalized_Difference_Vegetation_Index Normalized Difference Vegetation Index], [http://en.wikipedia.org/wiki/Palmer_Drought_Index Palmer drought index], [http://en.wikipedia.org/wiki/Price_index Price index], [http://en.wikipedia.org/wiki/Producer_price_index Producer Price Index],  [http://en.wikipedia.org/wiki/Refraction_index Refraction index] and [http://en.wikipedia.org/wiki/S%26P_Dow_Jones_Indices S & P Dow Jones Indices],  [http://en.wikipedia.org/wiki/Stock_market_index Stock market index], [http://en.wikipedia.org/wiki/Topographic_Wetness_Index Topographic Wetness Index].


<br/>  
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== {{ Bar Heading| text=Heat}} ==


&nbsp; base_quantity = "heat" <br/>
== {{ Bar Heading| text=Inertia}} ==
&nbsp; quantity = "latent_heat" <br/>
 
&nbsp; quantity = "sensible_heat"
&nbsp; base_quantity = "inertia" <br/>
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; "rotational_inertia"  [kg m2] <br/>
&nbsp; "thermal_inertia" [J m-2 K-1 s-0.5]<br/>
&nbsp; "translational_inertia" [kg]  (sometimes used as a synonym for "mass")


&nbsp; ''Examples''
&nbsp; ''Examples''
  water__fusion_specific_latent_heat          (334 [kJ kg-1])
  projectile__rotational_inertia
  water__vaporization_specific_latent_heat    (2500 [kJ kg-1])
  sea_water__thermal_inertia


* The quantity "heat" refers to "thermal energy" that is being transferred from one system to another by thermal interaction.  It has SI units of Joules.
* The term '''inertia''' by itself refers to the degree to which an object resists changes to its translational motion, which depends only on its mass.  The term "translational inertia" (a synonym for mass?) is sometimes used for clarity, especially since the concept of inertia lends its name to the quantity names "rotational inertia" (also called moment of inertia) and "thermal inertia".
:
:
* The word "specific" is often inserted as in "specific_latent_heat" and "specific_sensible_heat" to indicate thermal energy per unit mass [J kg-1].
* The concept of inertia comes from Newton's first law of motion and can be stated as: "When viewed in an inertial reference frame, an object either remains at rest or continues to move at a constant velocity, unless acted on by an external force." It is often summarized with the adage: "Objects in motion tend to stay in motion.  Objects at rest tend to stay at rest."
:
:
* While the "latent heat of fusion" and "latent heat of vaporization" are constants for a given substance (e.g. water), they don't use the Constant template but are treated as in the two examples above in accordance with the '''Process_name + Quantity Pattern'''.  Note that "latent_heat" is a quantity name and "fusion" and "vaporization" are process names.
* '''Rotational inertia''' is also called "moment of inertia" and is a measure of the resistance to an object to changes in its angular momentum.
:
:
* The quantities "advection_heat_flux", "conduction_heat_flux", "latent_heat_flux" and "sensible_heat_flux" are also used.
* The '''thermal inertia''' of a material is a measure of its resistance to changes in temperature.  It is defined as the square root of the product of thermal conductivity, mass density and mass specific thermal capacity.
:
:
* See: [http://en.wikipedia.org/wiki/Heat Heat], [http://en.wikipedia.org/wiki/Latent_heat Latent heat], [http://en.wikipedia.org/wiki/Sensible_heat Sensible heat] and [http://en.wikipedia.org/wiki/Thermodynamic_databases_for_pure_substances Thermodynamic databases for pure substances].
* Thermal inertia is an "intensive property" since it involves mass specific thermal capacity.
:
:
* See Energy and Flux of Heat or Energy.
* See [http://en.wikipedia.org/wiki/Inertia Inertia], [http://en.wikipedia.org/wiki/Moment_of_inertia Moment of inertia] (rotational inertia), [http://en.wikipedia.org/wiki/Thermal_effusivity Thermal effusivity] and [http://en.wikipedia.org/wiki/Volumetric_heat_capacity#Thermal_inertia Thermal inertia].


<br/>  
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== {{ Bar Heading| text=Height}} ==
== {{ Bar Heading| text=Intensity}} ==


&nbsp; base_quantity = "height" <br/>
&nbsp; base_quantity = "intensity" <br/>
&nbsp; quantity = "geopotential_height" <br/>
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; quantity = "reference_height"
&nbsp; "luminous_intensity" (optics) <br/>
&nbsp; "radiant_intensity" (optics) <br/>
&nbsp; "sound_intensity" (or "acoustic_intensity") <br/>


&nbsp; ''Examples''
&nbsp; ''Examples''
  empire-state-building__height
  atmosphere_air_radiation~incoming~shortwave__energy_intensity  [ W m-2] ############# energy_flux ??
bluejack-oak-tree__mean_height
  human__mean_height


* See [http://en.wikipedia.org/wiki/Geopotential_height Geopotential height], [http://en.wikipedia.org/wiki/Geostrophic_wind Geostrophic wind] and [http://en.wikipedia.org/wiki/Above_mean_sea_level Above mean sea level].
* Intensity is an overloaded term, but often means "power per unit area" and is therefore equivalent to an "energy flux".
:
* It is not yet clear when (or if) the CSDMS Standard Names should use "intensity" instead of "energy_flux", which is more descriptive. See Flux.
:
:
* See Reference Quantities.
* See: [http://en.wikipedia.org/wiki/Intensity_(physics) Intensity (physics)], [http://en.wikipedia.org/wiki/Radiant_intensity Radiant intensity] and [http://en.wikipedia.org/wiki/Sound_intensity Sound intensity].


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== {{ Bar Heading| text=Humidity and Relative Saturation}} ==
== {{ Bar Heading| text=Latitude}} ==


&nbsp; base_quantity = "humidity" <br/>
&nbsp; base_quantity = "latitude" <br/>
&nbsp; quantity = "absolute_humidity"   (is "volumetric_humidity" a synonym ?) <br/>
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; quantity = "relative_humidity" <br/>
&nbsp; "authalic_latitude" <br/>
&nbsp; quantity = "relative_saturation" <br/>
&nbsp; "conformal_latitude" <br/>
&nbsp; quantity = "specific_humidity" <br/>
&nbsp; "geocentric_latitude" <br/>
&nbsp; "geodetic_latitude" <br/>
&nbsp; "isometric_latitude" <br/>
&nbsp; "rectifying_latitude" <br/>
&nbsp; "reduced_latitude"


&nbsp; ''Examples''
&nbsp; ''Examples''
  air_carbon-dioxide__relative_saturation  ## CHECK
  model_grid_cell_center__geodetic_latitude
  air_water-vapor__relative_saturation (instead of air_relative_humidity)
  model_grid_cell_edge~north__geodetic_latitude
model_grid_cell_edge~south__geodetic_latitude
model_grid_edge~north__geodetic_latitude
  model_grid_edge~south__geodetic_latitude


* Relative humidity is a dimensionless ratio of partial pressuresIt is defined as the ratio of the partial pressure of water vapor in the air-water mixture (often called the "vapor pressure") to the saturated vapor (partial) pressure of the water at a prescribed temperature.
* For an ellipsoid (of the type used to model the shapes of planets), there are many different ways to define latitude, but really just one way to define longitudeThis is because the longitude lines (meridians) trace out ellipses (of the same size and shape) while the latitude lines are circles (of different sizes). When unqualified, the word "latitude" usually refers to '''geodetic latitude'''.  The other six types of latitude are called "auxiliary latitudes" and are used for special problems in geodesy.  Full explanations of these different types of latitude are provided at the links below.
:
* For a spheroid,  the various definitions of latitude become the same.  This is because the equatorial and polar radius are then the same, so the flattening, f, and eccentricity, e, are both zero.  This can be checked by inserting e=0 into formulas for [http://en.wikipedia.org/wiki/Latitude#Auxiliary_latitudes '''auxiliary latitudes'''].
:
* Typical units for latitude are "decimal degrees".
:
* This quantity is always relative to a particular (reference) ellipsoid model which should be specified using an <ellipsoid> tag in the Model Coupling Metadata (MCM) file. Similarly, <datum> and <projection> tags can be used. An <assume> tag should also be used to specify "geographic_coordinate_system".
:
:
* The relative humidity is often known (measured) and empirical equations for computing saturated vapor pressure as a function of temperature have been given by both Brutsaert and Satterlund.  From these, vapor pressure can be computed from the definition.
* Note: Should we use "geographic_grid" instead of just "grid" for the object name in the examples above?
:
:
* Relative humidity of air depends on both temperature and pressure.
* See the sections for Coordinates and Longitude.
:
:
* The more general term for relative humidity (when not talking about water vapor in air) is '''relative_saturation'''. It is the ratio of the partial pressure to the saturated partial pressure of one (condensable phase) gas in another (non-condensable phase) gas mixture.
* See: [http://en.wikipedia.org/wiki/Colatitude Colatitude], [http://en.wikipedia.org/wiki/Geodetic_datum Geodetic datum], [http://en.wikipedia.org/wiki/Geographic_coordinate_system Geographic coordinate system], [http://en.wikipedia.org/wiki/Geographical_distance Geographical distance], [http://en.wikipedia.org/wiki/Latitude Latitude], [http://en.wikipedia.org/wiki/Longitude Longitude], [http://en.wikipedia.org/wiki/Meridian_arc Meridian arc] and [http://en.wikipedia.org/wiki/Reference_ellipsoid Reference ellipsoid].


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== {{ Bar Heading| text=Increment}} ==
== {{ Bar Heading| text=Limit}} ==


&nbsp; operation_prefix = "increment_of"
&nbsp; operation_prefix = "limit_of"<br/>


&nbsp; ''Examples''
&nbsp; ''Examples''
  air__increment_of_pressure
  human__lower_limit_of_hearing_frequency    (Note:  hearing is a process name)
  bedrock_surface__increment_of_elevation
human__upper_limit_of_hearing_frequency
  land_surface__increment_of_elevation
human_eye_photon__lower_limit_of_detection_number  (process_name + quantity)
  star~neutron__tolman_oppenheimer_volkoff_limit_mass
  star~white-dwarf__chandrasekhar_limit_mass


* This can be used for the change in a quantity that occurs over some time period, such as a model time step. Models often update state variables with each time step by an incremental amount and this amount may be the quantity of interest. Note that an increment can be positive or negative.  
* Before 3/19/13 this was treated as a '''quantity suffix''', but now it is treated as an "operation prefix".  See Anomaly, Component, Increment and Magnitude. A "limit" is not a quantity by itself, but is an operation that can be applied to virtually any quantity.
:
* For clarity, it is often necessary to insert an adjective like "lower" or "upper" before the word "limit", as in the examples above.
:
:
* Before 3/19/13 this was treated as a '''quantity suffix''' but now it is treated as an "operation prefix".  See Anomaly, Component, Limit, Magnitude, Ratio and Scale.
* Note that the two limits above named after people include the quantity name "limit_mass" instead of "limit_of_mass".  There is also a related "Schwarzchild radius";  see the quantity template for Radius.  It is not clear that "_limit" would ever be used by itself.  See Point.
:
:
* For an "increment_of_time", the quantity suffix "step" is usually used instead of "increment".  See the Step and Time Step templates.
* "cutoff" or "threshold" may sometimes be used similarly.


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== {{ Bar Heading| text=Index}} ==
== {{ Bar Heading| text=Longitude}} ==


&nbsp; base_quantity = "index"
&nbsp; base_quantity = "longitude"


&nbsp; ''Examples''
&nbsp; ''Examples''
  air__standard_refraction_index
  model_grid_cell_center__longitude
  consumer__price_index
  model_grid_cell_edge~east__longitude
  ecosystem__diversity_index
  model_grid_cell_edge~west__longitude
  model_grid_cell__column_index
  model_grid_edge~east__longitude
  model_grid_cell__row_index
  model_grid_edge~west__longitude
__normalized_difference_vegetation_index
 
__palmer_drought_index
* While there are several different ways to define '''latitude''' for an ellipsoid, there is really just one way to define longitude, as explained in the Latitude section.
 
:
soil__moisture_index
* Since "center", "edge~east", "edge~west", etc. refer to parts of a cell, it is consistent with the use of similar words like "bottom" and "top" to include these in the object name part of the name (as of 7/23/14)Hyphens are used as shown here to clarify that "edge~east" is a single object or sub-object.
watershed_soil__topgraphic_index
:
watershed_soil__wetness_index
* Typical units are "decimal degrees".
 
:
* We use "refraction_index" instead of "refractive_index" in accordance with the '''Process_name + Quantity Pattern'''See Attributes of Radiation for information on the "standard_refraction_index".
* Typical units for longitude are "decimal degrees".
:
* This quantity is always relative to a particular (reference) ellipsoid model which should be specified using an <ellipsoid> tag in the Model Coupling Metadata (MCM) file. Similarly, <datum> and <projection> tags can be used. An <assume> tag should also be used to specify "geographic_coordinate_system".
:
:
* One meaning of index is a subscript to an array, as used in "model_grid_cell__column_index" and "model_grid_cell__row_index" above.
* Note: Should we use "geographic_grid" instead of just "grid" for the object name in the examples above?
:
:
* See Coefficient, Constant, Exponent, Factor, Number and Parameter.
* See the sections for Coordinates and Latitude.
:
:
* See: [http://en.wikipedia.org/wiki/Forest_fire_weather_index Forest fire weather index], [http://en.wikipedia.org/wiki/Haines_Index Haines index], [http://en.wikipedia.org/wiki/Heat_index Heat index], [http://en.wikipedia.org/wiki/Jaccard_index Jaccard index], [http://en.wikipedia.org/wiki/Lifted_index Lifted index], [http://en.wikipedia.org/wiki/Normalized_Difference_Vegetation_Index Normalized Difference Vegetation Index], [http://en.wikipedia.org/wiki/Palmer_Drought_Index Palmer drought index], [http://en.wikipedia.org/wiki/Price_index Price index] and [http://en.wikipedia.org/wiki/Refraction_index Refraction index].
* See: [http://en.wikipedia.org/wiki/Colatitude Colatitude], [http://en.wikipedia.org/wiki/Geodetic_datum Geodetic datum], [http://en.wikipedia.org/wiki/Geographic_coordinate_system Geographic coordinate system], [http://en.wikipedia.org/wiki/Geographical_distance Geographical distance], [http://en.wikipedia.org/wiki/Latitude Latitude], [http://en.wikipedia.org/wiki/Longitude Longitude], [http://en.wikipedia.org/wiki/Meridian_arc Meridian arc] and [http://en.wikipedia.org/wiki/Reference_ellipsoid Reference ellipsoid].


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== {{ Bar Heading| text=Latitude}} ==
== {{ Bar Heading| text=Magnitude}} ==


&nbsp; base_quantity = "latitude"
&nbsp; "magnitude_of_" + [vector quantity]


&nbsp; ''Examples''
&nbsp; ''Examples''
  model_grid_cell_center__latitude
  sea_bottom_water__magnitude_of_shear_stress
  model_grid_cell_north-edge__latitude
  sea_water__magnitude_of_vorticity
model_grid_cell_south-edge__latitude
model_grid_north-edge__latitude
model_grid_south-edge__latitude


* Should we use "geographic_grid" instead of just "grid" for the object name in the examples above?
* Magnitude is a general term in mathematics, used to indicate a scalar-valued "size" of something like a vector or complex number.
:
:
* Typical units are "decimal degrees".
* The quantity name "speed" should be used instead of "magnitude_of_velocity".
:
:
* The adjective "geodetic" may be needed in some cases.
* This was changed from a "quantity suffix" to a vector operation on 2/7/13. See [[CSN_Operation_Templates | CSDMS Operation Templates]].
:
:
* This quantity is always relative to a particular (reference) ellipsoid model which should be specified using an <ellipsoid> tag in the Model Metadata File. Similarly, <datum> and <projection> tags can be used. An <assume> tag should also be used to specify "geographic_coordinate_system".
* In the CF Standard Names, "magnitude_of_" is a transformation (used as a prefix to an entire name) that is used in about 5 names.
:
* See: [http://en.wikipedia.org/wiki/Geodetic_system Geodetic system], [http://en.wikipedia.org/wiki/Geographic_coordinate_system Geographic coordinate system], [http://en.wikipedia.org/wiki/Geographical_distance Geographical distance], [http://en.wikipedia.org/wiki/Latitude Latitude], [http://en.wikipedia.org/wiki/Longitude Longitude] and [http://en.wikipedia.org/wiki/Reference_ellipsoid Reference ellipsoid].
:
* See the section for Coordinates above.


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== {{ Bar Heading| text=Limit}} ==
== {{ Bar Heading| text=Mask}} ==


&nbsp; operation_prefix = "limit_of"<br/>
&nbsp; base_quantity = "mask"


&nbsp; ''Examples''
&nbsp; ''Examples''
  human__lower_limit_of_hearing_frequency    (Note:  hearing is a process name)
  land_mask
human__upper_limit_of_hearing_frequency
  ocean_mask
neutron_star__tolman_oppenheimer_volkoff_limit_mass
human_eye_photon__lower_limit_of_detection_number  (process_name + quantity)
  white_dwarf_star__chandrasekhar_limit_mass


* Before 3/19/13 this was treated as a '''quantity suffix''', but now it is treated as an "operation prefix".  See Anomaly, Component, Increment and Magnitude. A "limit" is not a quantity by itself, but is an operation that can be applied to virtually any quantity.
* In computer graphics and geographic information systems (GIS), the word "mask" is used to indicate a gridded (usually 2D or 3D) binary mask where two values (e.g. 0 and 1) are used to indicate whether or not a given feature or property is present in that grid cell.  The term "data mask" is sometimes used to indicate that grid cells contain a data value if they are in the mask and a nodata value otherwise.
:
* A mask is often associated with a threshold value of some other grid of data.  For example, a "land mask" may be set to 1 for every grid cell with an elevation value greater than 0 and set to 0 otherwise. We could use a standard name like "elevation_threshold_mask" or "temperature_threshold_mask" and then define the threshold value and how the masked values are related to the threshold value (>, >=, <, <= or =) with an <assume> tag in a Model Coupling Metadata (MCM) file.
:
* Masks provide a mechanism to identify a subset of a larger set, so they are a way to refer to a part of a larger object.  Because of this, it is reasonable to use "land-mask" as an object in the object part of a CSDMS Standard Name.  However, it is also reasonable to use "binary_mask" as a quantity name since it indicates the possible values (0 and 1) and the absence of unitsA "data mask", on the other hand, inherits the quantity name and units of the data. So it would be reasonable to use "data_mask_of" as an operation, as in "positive_data_mask_of_elevation".
:
* The [http://cfconventions.org/Data/cf-standard-names/27/build/cf-standard-name-table.html CF Standard Names] currently have two names that contain the word "mask", namely: "land_binary_mask" and "sunlit_binary_mask".  The guidelines mention both "binary_mask" and "data_mask".
:
:
* For clarity, it is often necessary to insert an adjective like "lower" or "upper" before the word "limit", as in the examples above.
* Terms like "presence_mask", '"inclusion_mask" and "exclusion_mask" would fit the '''Process_name + Quantity Pattern'''.
:
:
* Note that the two limits above named after people include the quantity name "limit_mass" instead of "limit_of_mass". There is also a related "Schwarzchild radius";  see the quantity template for Radius.  It is not clear that "_limit" would ever be used by itself.  See Point.
* Note that painters use [http://en.wikipedia.org/wiki/Masking_tape Masking tape] to "mask off" areas that should not be painted.
:
:
* "cutoff" or "threshold" may sometimes be used similarly.
* See: [http://en.wikipedia.org/wiki/Binary_image Binary image] and [http://en.wikipedia.org/wiki/Mask_(computing) Mask (computing)].


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== {{ Bar Heading| text=Longitude}} ==
== {{ Bar Heading| text=Mass}} ==


&nbsp; base_quantity = "longitude"
&nbsp; base_quantity = "mass" <br/>
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; "molar_mass" <br/>
&nbsp; "relativistic_mass" <br/>
&nbsp; "rest_mass"


&nbsp; ''Examples''
&nbsp; ''Examples''
  model_grid_cell_center__longitude
  ### cesium_atomic_mass  (also relative_atomic_mass = atomic_weight)
  model_grid_cell_east-edge__longitude
  electron__relativistic_mass
  model_grid_cell_west-edge__longitude
  electron__rest_mass  (also invariant mass, intrinsic_mass, proper mass)
  model_grid_east-edge__longitude
  star~neutron__tolman_oppenheimer_volkoff_limit_mass
  model_grid_west-edge__longitude
  star~white-dwarf__chandrasekhar_limit_mass  (object = star~white-dwarf)
 
* Should we use "geographic_grid" instead of just "grid" for the object name in the examples above?
* The SI units for mass are kilograms.
:
:
* Since "center", "east-edge", "west-edge", etc. refer to parts of a cell, it is consistent with the use of similar words like "bottom" and "top" to include these in the object name part of the name (as of 7/23/14).  Hyphens are used as shown here to clarify that "east-edge" is a single object or sub-object.
* What about "biomass"?
:
:
* Typical units are "decimal degrees".
* See Attributes of Atoms, Concentration, Flux.
:
* The adjective "geodetic" may be needed in some cases.
:
* This quantity is always relative to a particular (reference) ellipsoid model which should be specified using an <ellipsoid> tag in the Model Metadata File. Similarly, <datum> and <projection> tags can be used. An <assume> tag should also be used to specify "geographic_coordinate_system".
:
* See: [http://en.wikipedia.org/wiki/Geodetic_system Geodetic system], [http://en.wikipedia.org/wiki/Geographic_coordinate_system Geographic coordinate system], [http://en.wikipedia.org/wiki/Geographical_distance Geographical distance], [http://en.wikipedia.org/wiki/Latitude Latitude], [http://en.wikipedia.org/wiki/Longitude Longitude] and [http://en.wikipedia.org/wiki/Reference_ellipsoid Reference ellipsoid].
:
:
* See the section for Coordinates above.
* See: [http://en.wikipedia.org/wiki/Added_mass Added mass], [http://en.wikipedia.org/wiki/Biomass Biomass], [http://en.wikipedia.org/wiki/Invariant_mass Invariant mass], [http://en.wikipedia.org/wiki/Mass-energy_equivalence Mass-energy equivalence], [http://en.wikipedia.org/wiki/Mass_in_special_relativity Mass in special relativity], [http://en.wikipedia.org/wiki/Molar_mass Molar mass], [http://en.wikipedia.org/wiki/Planck_mass Planck mass] and [http://en.wikipedia.org/wiki/Transverse_mass Transverse mass].


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== {{ Bar Heading| text=Magnitude}} ==
== {{ Bar Heading| text=Maximum}} ==


&nbsp; quantity = "magnitude_of_" + [vector quantity]
&nbsp; ''Examples''
basin_outlet_water_x-section__time_max_of_volume_flow_rate  (for "peak discharge')


&nbsp; ''Examples''
* While we could use "max" as a quantity suffix, this is not unambiguous for quantities that can vary in both space and time, such as drainage basin discharge.  It seems best to introduce "time_max_of_" and "domain_max_of_" as operations instead.  See: [[CSN_Operation_Templates | '''CSDMS Operation Templates''']].
sea_water__magnitude_of_vorticity
sea_floor_water__magnitude_of_shear_stress


* Magnitude is a general term in mathematics, used to indicate a scalar-valued "size" of something like a vector or complex number.
<br/>
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== {{ Bar Heading| text=Miles per Gallon}} ==
 
* This is not allowed because it is not a good quantity name; it is really a units name. The associated concepts are "fuel consumption rate" and "fuel economy". The word "mileage" is sometimes used but is also a poor term.
:
:
* The quantity name "speed" should be used instead of "magnitude_of_velocity".
* See the Fuel Efficiency template.
:
* This was changed from a "quantity suffix" to a vector operation on 2/7/13. See [[CSN_Operation_Templates | CSDMS Operation Templates]].
:
:
* In the CF Standard Names, "magnitude_of_" is a transformation (used as a prefix to an entire name) that is used in about 5 names.
* See: [https://en.wikipedia.org/wiki/Fuel_economy_in_automobiles Fuel economy (automobiles)].


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== {{ Bar Heading| text=Mask}} ==
== {{ Bar Heading| text=Minimum}} ==
 
&nbsp; base_quantity = "mask"


&nbsp; ''Examples''
&nbsp; ''Examples''
  land_mask
  basin_outlet_water_x-section__time_min_of_volume_flow_rate
ocean_mask


* In computer graphics and geographic information systems (GIS), the word "mask" is used to indicate a gridded (usually 2D or 3D) binary mask where two values (e.g. 0 and 1) are used to indicate whether or not a given feature or property is present in that grid cell.  A mask may be associated with a threshold value of some other grid of data.  For example, a "land mask" may be set to 1 for every grid cell with an elevation value greater than 0 and set to 0 otherwise.
* While we could use "min" as a quantity suffix, this is not unambiguous for quantities that can vary in both space and time, such as drainage basin dischargeIt seems best to introduce "time_min_of_" and "domain_min_of_" as operations insteadSee: [[CSN_Operation_Templates | '''CSDMS Operation Templates''']].
:
* The [http://cf-pcmdi.llnl.gov/documents/cf-standard-names/ CF Standard Names] currently have two names that contain the word "mask", namely: "land_binary_mask" and "sunlit_binary_mask"The guidelines mention both "binary_mask" and "data_mask".
:
* A mask is sometimes associated with a threshold value and "threshold" is a quantity suffixWe could use a standard name like "temperature_threshold_mask" and then define the threshold value and how the masked values are related to the threshold value (>, >=, <, <= or =) with an <assume> tag in a Model Metadata File.
:
* Terms like "presence_mask", '"inclusion_mask" and "exclusion_mask" would fit the '''Process_name + Quantity Pattern'''.
:
* Note that painters use [http://en.wikipedia.org/wiki/Masking_tape Masking tape] to "mask off" areas that should not be painted.
:
* See: [http://en.wikipedia.org/wiki/Binary_image Binary image] and [http://en.wikipedia.org/wiki/Mask_(computing) Mask (computing)].


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== {{ Bar Heading| text=Mass}} ==
== {{ Bar Heading| text=Modulus}} ==


&nbsp; base_quantity = "mass"
&nbsp; base_quantity = "modulus" <br/>
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; "bulk_modulus" <br/>
&nbsp; "shear_modulus" <br/>
&nbsp; "young_modulus"


&nbsp; ''Examples''
&nbsp; ''Examples''
  ### cesium_atomic_mass  (also relative_atomic_mass = atomic_weight)
  lithosphere__bulk_modulus
  white_dwarf_star__chandrasekhar_limit_mass  (object = white_dwarf_star)
  lithosphere__young_modulus
electron__relativistic_mass
electron__rest_mass  (also invariant mass, intrinsic_mass, proper mass)
neutron_star__tolman_oppenheimer_volkoff_limit_mass


* The SI units for mass are kilograms.
* This quantity is used in continuum mechanics and materials science to measure a material's resistance to different types of deformation, sometimes called rigidity or stiffness.  It has units of pressure.
:
:
* What about "biomass"?
* Bulk, shear and Young's are different types of "elastic modulus".
:
:
* See Attributes of Atoms, Concentration, Flux.
* There are several different models for how the shear modulus of metals varies with pressure and/or temperature, such as the MTS, SCG and NP models.  See: [http://en.wikipedia.org/wiki/Shear_modulus Shear modulus].
:
:
* See: [http://en.wikipedia.org/wiki/Added_mass Added mass], [http://en.wikipedia.org/wiki/Biomass Biomass], [http://en.wikipedia.org/wiki/Invariant_mass Invariant mass], [http://en.wikipedia.org/wiki/Mass-energy_equivalence Mass-energy equivalence], [http://en.wikipedia.org/wiki/Mass_in_special_relativity Mass in special relativity], [http://en.wikipedia.org/wiki/Planck_mass Planck mass] and [http://en.wikipedia.org/wiki/Transverse_mass Transverse mass].
* See: [http://en.wikipedia.org/wiki/Bulk_modulus Bulk modulus], [http://en.wikipedia.org/wiki/Dynamic_modulus Dynamic modulus], [http://en.wikipedia.org/wiki/Elastic_modulus Elastic modulus], [http://en.wikipedia.org/wiki/Lamé_parameters Lamé parameters],  [http://en.wikipedia.org/wiki/P-wave_modulus P-wave modulus], [http://en.wikipedia.org/wiki/Poisson%27s_ratio Poisson's ratio], [http://en.wikipedia.org/wiki/Shear_modulus Shear modulus] and [http://en.wikipedia.org/wiki/Young%27s_modulus Young's modulus].


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== {{ Bar Heading| text=Maximum}} ==
== {{ Bar Heading| text=Number}} ==
 
&nbsp; base_quantity = "number" <br/>
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; "julian_day_number" <br/>
&nbsp; "neutron_number" <br/>
&nbsp; "proton_number" <br/>
&nbsp; "quantum_number" <br/>
&nbsp; "wavenumber" <br/>
&nbsp; "winding_number"


&nbsp; ''Examples''
&nbsp; ''Examples''
  watershed_outlet_water__time_max_of_volume_flow_rate   (for "peak discharge')
  automobile__vehicle_identification_number   (i.e. VIN number)
carbon_isotope__neutron_number
iron_atom__neutron_number
iron_atom__proton_number
sea_surface_water_wave__wavenumber


* While we could use "max" as a quantity suffix, this is not unambiguous for quantities that can vary in both space and time, such as watershed dischargeIt seems best to introduce "time_max_of_" and "domain_max_of_" as operations instead. See: [[CSN_Operation_Templates | '''CSDMS Operation Templates''']].
* This quantity name is often used when the attribute being quantified can only take integer values, as in the examples above and detectors that count particlesThe word "count" is used similarly.
 
:
<br/>
* Many important '''dimensionless numbers''' also end with the word "number" and are often named after a person (e.g. Reynolds number).  These are discussed in the Dimensionless Number template and they are typically not integers.  Also the [http://en.wikipedia.org/wiki/Wave_number wave number] need not be an integer.
<!-- ============================================= -->
:
 
* Sometimes, there are multiple definitions for a dimensionless number, so they aren't always interchangeable.  For example, there are at least 4 types of [http://en.wikipedia.org/wiki/Richardson_number Richardson number].  One is the reciprocal of the square of the Froude number. Three others are used in atmospheric science and are preceded by the adjective "flux", "gradient" or "bulk" (an approximation to the gradient version).  For some definitions, the Richardson number can only take positive values, while for others it can also take negative values, which indicates an unstable atmosphere. The AMS provides several definitions of the [http://glossary.ametsoc.org/wiki/Richardson_number Richardson number].
== {{ Bar Heading| text=Miles per Gallon}} ==
:
 
* Atomic number is a synonym for "proton_number" but the latter is used for clarity and consistency in the CSDMS standard names.  The "mass_number" is defined as the sum of the "proton_number" and "neutron_number".
* This is not allowed because it is not a good quantity name; it is really a units name. The associated concepts are "fuel_consumption" and "fuel_economy". The word "mileage" is sometimes used but is also a poor term.
:
* Atomic physics uses several [http://en.wikipedia.org/wiki/Quantum_number quantum_numbers], including the: [http://en.wikipedia.org/wiki/Principal_quantum_number principal quantum number], [http://en.wikipedia.org/wiki/Azimuthal_quantum_number azimuthal quantum number], [http://en.wikipedia.org/wiki/Magnetic_quantum_number magnetic quantum number], [http://en.wikipedia.org/wiki/Spin_quantum_number spin quantum number] and [http://en.wikipedia.org/wiki/Topological_quantum_number topological quantum number].
:
:
* See the Fuel Efficiency template.
* Several other "numbers" are defined in particle physics, such as the "electronic_number", "muonic_number" and "tauonic_number".
 
:
<br/>
* The [http://en.wikipedia.org/wiki/Winding_number winding number] is used in mathematics as an attribute of closed, planar curves.
<!-- ============================================= -->
:
== {{ Bar Heading| text=Minimum}} ==
* See: [http://en.wikipedia.org/wiki/Atomic_number Atomic number], [http://en.wikipedia.org/wiki/Lepton_number Lepton number] and [http://en.wikipedia.org/wiki/Neutron_number Neutron number].
 
:
&nbsp; ''Examples''
* Unique identification numbers are often assigned to people and other objects.  See [http://en.wikipedia.org/wiki/Credit_card_number Credit card number],[http://en.wikipedia.org/wiki/Employer_Identification_Number Employer Identification Number] (EIN), [http://en.wikipedia.org/wiki/Enzyme_Commission_number Enzyme Commission Number], [http://en.wikipedia.org/wiki/National_identification_number National Identification Number], [http://en.wikipedia.org/wiki/Numbering_scheme Numbering scheme], [http://en.wikipedia.org/wiki/Social_Security_Number Social Security Number], [http://en.wikipedia.org/wiki/TC_number Transporter Classification Number] and [http://en.wikipedia.org/wiki/Vehicle_Identification_Number Vehicle Identification Number] (VIN).
  watershed_outlet_water__time_min_of_volume_flow_rate
:
 
* In the branch of mathematics called ''number theory'' there are many special numbers, often named after a famous person.  The [http://en.wikipedia.org/wiki/On-Line_Encyclopedia_of_Integer_Sequences Online Encyclopedia of Integer Sequences] (OEIS) maintains an extensive database of information on integer sequences.  See: [http://en.wikipedia.org/wiki/Bell_number Bell number], [http://en.wikipedia.org/wiki/Catalan_number Catalan number], [http://en.wikipedia.org/wiki/Euler_number Euler number], [http://en.wikipedia.org/wiki/Fibonacci_number Fibonacci number], [http://en.wikipedia.org/wiki/1729_(number) Hardy-Ramanujan number], [http://en.wikipedia.org/wiki/Kaprekar_number Kaprekar number], [http://en.wikipedia.org/wiki/Lucas_number Lucas number], [http://en.wikipedia.org/wiki/Prime_number Prime number] and [http://en.wikipedia.org/wiki/Smith_number Smith number]. Also see the template for Constants in Math.
* While we could use "min" as a quantity suffix, this is not unambiguous for quantities that can vary in both space and time, such as watershed dischargeIt seems best to introduce "time_min_of_" and "domain_min_of_" as operations instead. See: [[CSN_Operation_Templates | '''CSDMS Operation Templates''']].
:
* For hydrologic features such as rivers, unique identification numbers such as the [http://en.wikipedia.org/wiki/United_States_Geological_Survey USGS] [http://en.wikipedia.org/wiki/Hydrological_code Hydrologic Unit Code] (or "HUC number") and Pfafstetter Code are used. See Code.
:
* See the Count template and [http://en.wikipedia.org/wiki/Julian_day Julian day].


<br/>  
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== {{ Bar Heading| text=Modulus}} ==
== {{ Bar Heading| text=Parameter}} ==


&nbsp; base_quantity = "modulus" <br/>
&nbsp; base_quantity = "parameter"
&nbsp; quantity = "bulk_modulus" <br/>
&nbsp; quantity = "shear_modulus" <br/>
&nbsp; quantity = "young_modulus"


&nbsp; ''Examples''
&nbsp; ''Examples''
  lithosphere__bulk_modulus
  channel_bottom_water_flow_sediment__shields_parameter
  lithosphere__young_modulus
  channel_water_flow__manning_n_parameter
soil_water__van_genuchten_alpha_parameter


* This quantity is used in continuum mechanics and materials science to measure a material's resistance to different types of deformation, sometimes called rigidity or stiffness. It has units of pressure.
* Parameters often occur in empirical laws.
:
* The CSDMS Standard Names use "manning_n_parameter vs. "manning_coefficient".
:
:
* Bulk, shear and Young's are different types of "elastic modulus".
* The CSDMS standard names use "coriolis_frequency" vs. "coriolis_parameter".
:
:
* There are several different models for how the shear modulus of metals varies with pressure and/or temperature, such as the MTS, SCG and NP models.  See: [http://en.wikipedia.org/wiki/Shear_modulus Shear modulus].
* Shields (1935) worked with a nondimensional shear stress that is now known as the Shields parameter.
:
:
* See: [http://en.wikipedia.org/wiki/Bulk_modulus Bulk modulus], [http://en.wikipedia.org/wiki/Dynamic_modulus Dynamic modulus], [http://en.wikipedia.org/wiki/Elastic_modulus Elastic modulus], [http://en.wikipedia.org/wiki/Lamé_parameters Lamé parameters], [http://en.wikipedia.org/wiki/P-wave_modulus P-wave modulus], [http://en.wikipedia.org/wiki/Poisson%27s_ratio Poisson's ratio], [http://en.wikipedia.org/wiki/Shear_modulus Shear modulus] and [http://en.wikipedia.org/wiki/Young%27s_modulus Young's modulus].
* See templates for Coefficient, Constant, Exponent, Factor, Index and Number.


<br/>  
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== {{ Bar Heading| text=Number}} ==
== {{ Bar Heading| text=Partial Pressure}} ==


&nbsp; base_quantity = "number" <br/>
&nbsp; base_quantity = "partial_pressure" <br/>
&nbsp; quantity = "julian_day_number" <br/>
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; quantity = "neutron_number" <br/>
&nbsp; name = [substance 1] + "_" + [substance 2] + "_partial_pressure"
&nbsp; quantity = "proton_number" <br/>
&nbsp; quantity = "quantum_number" <br/>
&nbsp; quantity = "wave_number" <br/>
&nbsp; quantity = "winding_number"


&nbsp; ''Examples''
&nbsp; ''Examples''
  carbon_isotope__neutron_number
  atmosphere_carbon-dioxide__partial_pressure  # (carbon dioxide in air)
  iron_atom__neutron_number
  atmosphere_water~vapor__partial_pressure # (water vapor in air)
iron_atom__proton_number
  atmosphere_water~vapor__saturated_partial_pressure
  sea_water_surface_wave__number
  vehicle__identification_number


* This quantity name is often used when the attribute being quantified can only take integer values, as in the examples above and detectors that count particles.  The word "count" is used similarly.  However, '''dimensionless numbers''' also end with the word "number" as discussed in the Dimensionless Number template and they are typically not integersAlso the [http://en.wikipedia.org/wiki/Wave_number wave number] need not be an integer.
* This is an example of a quantity that uses the '''Object-in-object Quantity Pattern''' because two substances are involvedSee Solubility and Volume Fraction.
:
:
* Atomic number is a synonym for "proton_number" but the latter is used for clarity and consistency in the CSDMS standard names.  The "mass_number" is defined as the sum of the "proton_number" and "neutron_number".
* The term "water vapor pressure" refers to the partial pressure of water vapor in air, and the "saturated water vapor pressure" is the partial pressure of water vapor in air at saturation.  The CSDMS standard names for these are given aboveOne of them uses the '''Saturated Quantity Rule'''.
:
:
* Atomic physics uses several [http://en.wikipedia.org/wiki/Quantum_number quantum_numbers], including the: [http://en.wikipedia.org/wiki/Principal_quantum_number principal quantum number], [http://en.wikipedia.org/wiki/Azimuthal_quantum_number azimuthal quantum number], [http://en.wikipedia.org/wiki/Magnetic_quantum_number magnetic quantum number], [http://en.wikipedia.org/wiki/Spin_quantum_number spin quantum number] and [http://en.wikipedia.org/wiki/Topological_quantum_number topological quantum number].
* Partial pressure for a gas dissolved in a liquid is the partial pressure of that gas which would be generated in a gas phase in '''''equilibrium''''' with the liquid at the same temperature. See: [http://en.wikipedia.org/wiki/Partial_pressure Partial pressure].
:
:
* Several other "numbers" are defined in particle physics, such as the "electronic_number", "muonic_number" and "tauonic_number".
* CF Standard Names currently has only 6 names with "partial_pressure". They all have units of [Pa] and are:
:
* The [http://en.wikipedia.org/wiki/Winding_number winding number] is used in mathematics as an attribute of closed, planar curves.
:
* See: [http://en.wikipedia.org/wiki/Atomic_number Atomic number], [http://en.wikipedia.org/wiki/Lepton_number Lepton number] and [http://en.wikipedia.org/wiki/Neutron_number Neutron number].
:
* Unique identification numbers are often assigned to people and other objects.  See [http://en.wikipedia.org/wiki/Credit_card_number Credit card number],[http://en.wikipedia.org/wiki/Employer_Identification_Number Employer Identification Number] (EIN), [http://en.wikipedia.org/wiki/Enzyme_Commission_number Enzyme Commission Number], [http://en.wikipedia.org/wiki/National_identification_number National Identification Number], [http://en.wikipedia.org/wiki/Numbering_scheme Numbering scheme], [http://en.wikipedia.org/wiki/Social_Security_Number Social Security Number], [http://en.wikipedia.org/wiki/TC_number Transporter Classification Number] and [http://en.wikipedia.org/wiki/Vehicle_Identification_Number Vehicle Identification Number] (VIN).
:
* In the branch of mathematics called ''number theory'' there are many special numbers, often named after a famous person.  The [http://en.wikipedia.org/wiki/On-Line_Encyclopedia_of_Integer_Sequences Online Encyclopedia of Integer Sequences] (OEIS) maintains an extensive database of information on integer sequences.  See: [http://en.wikipedia.org/wiki/Bell_number Bell number], [http://en.wikipedia.org/wiki/Catalan_number Catalan number], [http://en.wikipedia.org/wiki/Euler_number Euler number], [http://en.wikipedia.org/wiki/Fibonacci_number Fibonacci number], [http://en.wikipedia.org/wiki/1729_(number) Hardy-Ramanujan number], [http://en.wikipedia.org/wiki/Kaprekar_number Kaprekar number], [http://en.wikipedia.org/wiki/Lucas_number Lucas number], [http://en.wikipedia.org/wiki/Prime_number Prime number] and [http://en.wikipedia.org/wiki/Smith_number Smith number].  Also see the template for Constants in Math.
:
* For hydrologic features such as rivers, unique identification numbers such as the [http://en.wikipedia.org/wiki/United_States_Geological_Survey USGS]  [http://en.wikipedia.org/wiki/Hydrological_code Hydrologic Unit Code] (or "HUC number") and Pfafstetter Code are used. See Code.
:
* See the Count template and [http://en.wikipedia.org/wiki/Julian_day Julian day].


<br/>
surface_carbon_dioxide_partial_pressure_difference_between_air_and_sea_water
<!-- ============================================= -->
surface_carbon_dioxide_partial_pressure_difference_between_sea_water_and_air
surface_molecular_oxygen_partial_pressure_difference_between_sea_water_and_air
surface_partial_pressure_of_carbon_dioxide_in_air
surface_partial_pressure_of_carbon_dioxide_in_sea_water
water_vapor_partial_pressure_in_air  (alias: water_vapor_pressure)


== {{ Bar Heading| text=Parameter}} ==
:We could use the following CSDMS standard name for the first quantity listed above:
"sea_surface_air-vs-water_carbon-dioxide" + "difference_of_partial_pressure"
(with "difference" as a quantity suffix).  Or with a new rule for "-and-in_", we could use:
surface_carbon_dioxide_in_air-and-in_sea_water_partial_pressure_difference.
 
* See the quantity template for Pressure.
 
<br/>
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== {{ Bar Heading| text=Perimeter}} ==


&nbsp; base_quantity = "parameter"
&nbsp; base_quantity = "perimeter"


&nbsp; ''Examples''
&nbsp; ''Examples''
  earth__coriolis_parameter
  basin_boundary__perimeter
  channel_bed__shields_parameter
  channel_x-section__perimeter


* Parameters often occur in empirical laws.
* This quantity has units of length and is well-defined for virtually any (nonfractal) planar shape.  It can be infinite, however, for a fractal shape such as the [http://en.wikipedia.org/wiki/Koch_snowflake Koch snowflake].
:
:
* The CSDMS standard names use "manning_coefficient" vs. "manning_parameter".
* See Diameter.
:
* Shields (1935) worked with a nondimensional shear stress that is now known as the Shields parameter.
:
* See templates for Coefficient, Constant, Exponent, Factor, Index and Number.


<br/>  
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== {{ Bar Heading| text=Partial Pressure}} ==
== {{ Bar Heading| text=Period}} ==


&nbsp; base_quantity = "partial_pressure" <br/>
&nbsp; base_quantity = "period" <br/>
&nbsp; name = [substance 1] + "_in_" + [substance 2] + "_partial_pressure"
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; "sidereal_period" <br/>
&nbsp; "synodic_period"


&nbsp; ''Examples''
&nbsp; ''Examples''
  atmosphere_carbon-dioxide__partial_pressure  # (carbon dioxide in air)
  earth__rotation_period
  atmosphere_water-vapor__partial_pressure # (water vapor in air)
flood__expected_return_period    ######### Need a flood size adjective.
  atmosphere_water-vapor__saturated_partial_pressure
  mars_orbit__sidereal_period
 
mars_orbit__synodic_period
* This is an example of a quantity that uses the '''Object-in-object Quantity Pattern''' because two substances are involvedSee Solubility and Volume Fraction.
  sea_surface_water_wave__period
  virus_chicken-pox__incubation_period
* This quantity has units of time and is typically used to describe the time required for some time of ''periodic'' motion to return to its starting pointExamples include the rotation of a planet on its axis, the orbit of a planet around the sun or the period of a wave.
:
:
* The term "water vapor pressure" refers to the partial pressure of water vapor in air, and the "saturated water vapor pressure" is the partial pressure of water vapor in air at saturation. The CSDMS standard names for these are given above.  One of them uses the '''Saturated Quantity Rule'''.
* In hydrology the terms: [http://en.wikipedia.org/wiki/Return_period Return period], "return time", "recurrence interval" and "flood frequency" are used to quantify the expected time between floods of a given size.
:
* See: [http://en.wikipedia.org/wiki/Orbital_period Orbital period] for definitions of "sidereal period", "synodic period", "draconic period", "anomalistic period" and "tropical period".
:
:
* Partial pressure for a gas dissolved in a liquid is the partial pressure of that gas which would be generated in a gas phase in '''''equilibrium''''' with the liquid at the same temperature. See: [http://en.wikipedia.org/wiki/Partial_pressure Partial pressure].
* The '''Process_name + Quantity Pattern''' is often used, as in: "digestion period", "dormant period", [http://en.wikipedia.org/wiki/Gestation_period gestation period], [http://en.wikipedia.org/wiki/Hibernation Hibernation period], [http://en.wikipedia.org/wiki/Incubation_period incubation period], [http://en.wikipedia.org/wiki/Rotation_period rotation period], "sleeping period"], [http://en.wikipedia.org/wiki/Waiting_period waiting period] and [http://en.wikipedia.org/wiki/Wave_period wave period].
:
:
* CF Standard Names currently has only 6 names with "partial_pressure". They all have units of [Pa] and are:
* See Duration and Time.
 
<br/>
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== {{ Bar Heading| text=Permeability}} ==


surface_carbon_dioxide_partial_pressure_difference_between_air_and_sea_water
&nbsp; base_quantity = "permeability"
surface_carbon_dioxide_partial_pressure_difference_between_sea_water_and_air
surface_molecular_oxygen_partial_pressure_difference_between_sea_water_and_air
surface_partial_pressure_of_carbon_dioxide_in_air
surface_partial_pressure_of_carbon_dioxide_in_sea_water
water_vapor_partial_pressure_in_air  (alias: water_vapor_pressure)


:We could use the following CSDMS standard name for the first quantity listed above:
&nbsp; ''Examples''
  surface_carbon_dioxide_in_air_and_carbon_dioxide_in_sea_water_partial_pressure_difference
  sea_bottom_sediment__permeability
(with "difference" as a quantity suffix).  Or with a new rule for "_and_in_", we could use:
surface_carbon_dioxide_in_air_and_in_sea_water_partial_pressure_difference.


* See the quantity template for Pressure.
* Permeability is a property of a geologic material (and not the fluid) that indicates the ability of a fluid to move through it.  It is related to '''hydraulic conductivity'''.
:
* See [http://en.wikipedia.org/wiki/Hydraulic_conductivity Hydraulic conductivity] and [http://en.wikipedia.org/wiki/Permeability_(earth_sciences) Permeability] (earth sciences).


<br/>  
<br/>  
<!-- ============================================= -->
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== {{ Bar Heading| text=Perimeter}} ==
== {{ Bar Heading| text=pH}} ==


&nbsp; base_quantity = "perimeter"
&nbsp; base_quantity = "ph"


&nbsp; ''Examples''
&nbsp; ''Examples''
  channel_cross-section__perimeter
  channel_water__ph
  watershed__perimeter
  sulfuric-acid_solution__ph


* This quantity has units of length and is well-defined for virtually any (nonfractal) planar shape.  It can be infinite, however, for a fractal shape such as the [http://en.wikipedia.org/wiki/Koch_snowflake Koch snowflake].
* This quantity measures the [http://en.wikipedia.org/wiki/Activity_(chemistry) activity] of the (solvated) hydrogen ion in a solution.  It is close to 7 for pure water, less than 7 for acidic solutions and greater than 7 for basic (i.e. alkaline) solutions.
:
* Should "pH" be viewed as a measurement unit instead of a quantity?
:
:
* See Diameter.
* See: [http://en.wikipedia.org/wiki/PH Wikipedia: pH].


<br/>  
<br/>  
<!-- ============================================= -->
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== {{ Bar Heading| text=Period}} ==


&nbsp; base_quantity = "period" <br/>
== {{ Bar Heading| text=Point}} ==
&nbsp; quantity = "orbit_period"    (see "Object vs. Adjective Rule")


&nbsp; ''Examples''
&nbsp; ''Examples''
  chicken-pox__incubation_period
  boiling_point
  earth__rotation_period
  breaking_point  ??
  flood__expected_return_period   ######### Need a flood size adjective.
bubble_point
  mars_orbit__sidereal_period
critical_point  (See: [http://en.wikipedia.org/wiki/Critical_temperature Critical point].)
  mars_orbit__synodic_period
curie_point  (See: [http://en.wikipedia.org/wiki/Curie_point Curie point].)
  sea_water_surface_wave__period
dew_point
flash_point
  freezing_point
frost_point
melting_point
wilting_point   (used in infiltration theory)
yield_point  (See: [http://en.wikipedia.org/wiki/Yield_strength Yield strength].)
atmosphere_water~vapor__dew_point_temperature
atmosphere_water~vapor__frost_point_temperature
  ice__melting_point_temperature
  water__boiling_point_temperature
  water__freezing_point_temperature


* This quantity has units of time and is typically used to describe the time required for some time of ''periodic'' motion to return to its starting pointExamples include the rotation of a planet on its axis, the orbit of a planet around the sun or the period of a wave.
* This is not viewed as a quantity or quantity suffix within the CSDMS Standard Names.  It is generally inserted just before a base quantity name and refers to a '''threshold''' that occurs for that quantitySee the template for Temperature for many examples.
:
:
* In hydrology the terms: [http://en.wikipedia.org/wiki/Return_period Return period], "return time", "recurrence interval" and "flood frequency" are used to quantify the expected time between floods of a given size.
* Each of the examples above puts a "process name" prefix, from the list of process names in [[CSN_Process_Names | '''CSDMS Process Names''' ]] in front of "_point".
:
 
* See: [http://en.wikipedia.org/wiki/Orbital_period Orbital period] for definitions of "sidereal period", "synodic period", "draconic period", "anomalistic period" and "tropical period".
<br/>
:
<!-- ============================================= -->
* The '''Process_name + Quantity Pattern''' is often used, as in: "digestion period", "dormant period", [http://en.wikipedia.org/wiki/Gestation_period gestation period], [http://en.wikipedia.org/wiki/Hibernation Hibernation period], [http://en.wikipedia.org/wiki/Incubation_period incubation period], [http://en.wikipedia.org/wiki/Rotation_period rotation period], "sleeping period"], [http://en.wikipedia.org/wiki/Waiting_period waiting period] and [http://en.wikipedia.org/wiki/Wave_period wave period].
 
:
== {{ Bar Heading| text=Porosity}} ==
* See Duration and Time.
 
&nbsp; base_quantity = "porosity"
 
&nbsp; ''Examples''
soil__porosity
 
* Could also be called "soil_air__volume_fraction".


<br/>  
<br/>  
<!-- ============================================= -->
<!-- ============================================= -->
== {{ Bar Heading| text=pH}} ==
== {{ Bar Heading| text=Power}} ==


&nbsp; base_quantity = "ph"
&nbsp; base_quantity = "power"


&nbsp; ''Examples''
&nbsp; ''Examples''
  acetic_acid__ph
  channel_water__power
channel_water__ph


* This quantity measures the [http://en.wikipedia.org/wiki/Activity_(chemistry) activity] of the (solvated) hydrogen ion in a solution.  It is close to 7 for pure water, less than 7 for acidic solutions and greater than 7 for basic (i.e. alkaline) solutions.
* "Power" has SI units of [J s-1] = [ W ]. In the context of a fluid in motion, it is an "energy flow rate" associated with the kinetic energy of the fluid.  It is proportional to the cube of the fluid velocity.  For a non-accelerating flow, the gravitational acceleration of the flow is exactly balanced by the loss of momentum due to friction.  See the template for Flow Rate.
:
:
* Should "pH" be viewed as a measurement unit instead of a quantity?
* In hydrology, the terms "stream_power" and "unit_width_stream_power" are used.  See: [http://en.wikipedia.org/wiki/Stream_power Stream power].
:
* See: [http://en.wikipedia.org/wiki/PH Wikipedia: pH].


<br/>  
<br/>  
<!-- ============================================= -->
<!-- ============================================= -->
== {{ Bar Heading| text=Point}} ==
== {{ Bar Heading| text=Precipitation}} ==
 
&nbsp; "precipitation_" + base_quantity <br/>
&nbsp; "precipitation_leq-volume_flux <br/>
&nbsp; "precipitation_mass_flux <br/>
&nbsp; "precipitation_volume_flux


&nbsp; ''Examples'
&nbsp; ''Examples''
  boiling_point
  atmosphere_water__precipitation_duration
  breaking_point ??
  atmosphere_water__precipitation_leq-volume_flux (in liquid or solid form)
bubble_point
  atmosphere_ice__precipitation_volume_flux
critical_point  (See: [http://en.wikipedia.org/wiki/Critical_temperature Critical point].)
  atmosphere_snow__precipitation_volume_flux
curie_point  (See: [http://en.wikipedia.org/wiki/Curie_point Curie point].)
  titan_atmosphere_methane__precipitation_leq-volume_flux (on Titan)
  dew_point
flash_point
freezing_point
frost_point
  melting_point
  wilting_point    (used in infiltration theory)
yield_point  (See: [http://en.wikipedia.org/wiki/Yield_strength Yield strength].)
atmosphere_water__dew_point_temperature
ice__melting_point_temperature
water__boiling_point_temperature
water__freezing_point_temperature


* This is not viewed as a quantity or quantity suffix within the CSDMS Standard Names.  It is generally inserted just before a base quantity name and refers to a '''threshold''' that occurs for that quantity. See the template for Temperature for many examples.
* Precipitation is not a quantity, but rather a process as defined at the top of the [[CSN_Process_Names | '''CSDMS Process Names''']] pageHowever, there are several quantities associated with precipitation, as seen in the examples above.  A "precipitation_volume_flux" is a volume per unit area and unit time, and therefore has units of [length / time] (e.g. mm per hour). A "precipitation_mass_flux" is a mass per unit area and unit time, and therefore has units of [mass / (area * time)] (e.g. kg per square meter per hour).
:
* "Rainfall" is a somewhat unusual example of a process name in that the relevant object (rain) and the associated process (falling) have been fused to create the process name. Adding the object part in front would mean repeating the word rain. But "rain" is also a verb and "raining" is therefore a valid process name, but only for liquids. In the CSDMS Standard Names, the object that is precipitating is specified in the object part of the name, such as "water", or perhaps "methane" for Titan.
:
* Since water can precipitate in liquid or solid form, each with a different density, precipitation rates are often quantified as '''liquid-water equivalent'''. The corresponding CSDMS standard name is: "atmosphere_water" + "precipitation_leq-volume_flux", where "leq-volume" is an abbreviation for "liquid-equivalent volume".  This quantity name generalizes to other substances (like methane on Titan). See: Precipitation (chemistry) and Precipitation (meteorology).
:
* Note that in the CSDMS Standard Names, it is considered unnecessary and redundant to insert "liqui-equivalent" into the names "ice" + "melt_volume_flux" and "snowpack" + "melt_volume_flux", since the process of melting converts ice and snow to liquid water.
:
* The name "snowpack" + "liquid-equivalent_depth" is also used and is computed by multiplying the snowpack depth by the "liquid-water-to-snow_density_ratio".
:
* The word "water" by itself does not indicate whether the state is gas, liquid or solid.
:
:
* Each of the examples above puts a "process name" prefix, from the list of process names in [[CSN_Process_Names | '''CSDMS Process Names''' ]] in front of "_point".
* See the templates for Process Attributes and Rates of Processes for more information.


<br/>  
<br/>  
<!-- ============================================= -->
<!-- ============================================= -->


== {{ Bar Heading| text=Porosity}} ==
== {{ Bar Heading| text=Pressure}} ==


&nbsp; base_quantity = "porosity"
&nbsp; base_quantity = "pressure" <br/>
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; "dynamic_pressure" <br/>
&nbsp; "osmotic_pressure" <br/>
&nbsp; "radiation_pressure" <br/>
&nbsp; "partial_pressure"  (See Partial Pressure above) <br/>
&nbsp; "stagnation_pressure" <br/>
&nbsp; "static_pressure" <br/>
&nbsp; "total_pressure" <br/>
&nbsp; "vapor_pressure"  


&nbsp; ''Examples''
&nbsp; ''Examples''
  soil__porosity
  atmosphere_bottom_air__pressure
channel_bottom_water__static_pressure
channel_bottom_water_flow__dynamic_pressure
channel_bottom_water_flow__total_pressure 
channel_water__static_pressure
channel_water_flow__dynamic_pressure      (anywhere in the channel)
channel_water_flow__total_pressure


* Could also be called "soil_air__volume_fraction".
* Pressure may be thought of as "force per unit area".
 
:
<br/>
* There is a distinction between [http://en.wikipedia.org/wiki/Static_pressure '''static pressure'''] and [http://en.wikipedia.org/wiki/Dynamic_pressure '''dynamic pressure'''].  The first results from the weight of fluid above a location (called "hydrostatic" when the fluid is water) while the second is the kinetic energy per unit volume of a fluid flowThe "total pressure" is the sum of these two contributionsAlso see: [http://en.wikipedia.org/wiki/Bernoulli%27s_principle Bernoulli's principle], [http://en.wikipedia.org/wiki/Pressure Pressure] and [http://en.wikipedia.org/wiki/Stagnation_Pressure Stagnation pressure].
<!-- ============================================= -->
:
== {{ Bar Heading| text=Power}} ==
* Pressure requires specifying a single object (e.g. air) but "partial pressure" requires two different objects to be specified using the "object-in-object" pattern.  See the quantity template for Partial Pressure.
 
:
&nbsp; base_quantity = "power"
* In chemistry, the term [http://en.wikipedia.org/wiki/Vapor_pressure '''vapor pressure'''] (also called "equilibrium vapor pressure") has a specific meaning, and is a property of a single compound or substance.
 
:
&nbsp; ''Examples''
* In meteorology, the term "vapor pressure" is used to mean the [http://en.wikipedia.org/wiki/Partial_pressure '''partial pressure'''] of water vapor in the atmosphere, even if it is not in equilibrium, and the adjective equilibrium is inserted otherwiseIn the CSDMS Standard Names, the term "vapor pressure" is only used as it is defined in chemistry, and for meteorology, names use "partial_pressure" or "saturated_partial_pressure" as in:  "atmosphere_air_water~vapor" + "partial_pressure".
channel_water__power
:
 
* Electromagnetic radiation exerts [http://en.wikipedia.org/wiki/Radiation_pressure '''radiation pressure'''] on an illuminated surface.  A [http://en.wikipedia.org/wiki/Crookes_radiometer Crookes radiometer] is often used to illustrate this effect, but it is now known that a combination of Einstein and Reynolds forces (thermal transpiration) is actually responsible for making them turn.
* "Power" has SI units of [J s-1] = [ W ].  In the context of a fluid in motion, it is an "energy flow rate" associated with the kinetic energy of the fluid.  It is proportional to the cube of the fluid velocityFor a non-accelerating flow, the gravitational acceleration of the flow is exactly balanced by the loss of momentum due to frictionSee the template for Flow Rate.
:
:
* In hydrology, the terms "stream_power" and "unit_width_stream_power" are used.  See: [http://en.wikipedia.org/wiki/Stream_power Stream power].
* The quantity [http://en.wikipedia.org/wiki/Pressure_head '''pressure head'''] is used in hydraulics and in ground water modeling but it has units of length. It is often negative, and negative pressure is sometimes called ''suction''.  See Head.
 
<br/>
<!-- ============================================= -->
== {{ Bar Heading| text=Precipitation}} ==
 
&nbsp; quantity = "precipitation_" + base_quantity
 
&nbsp; ''Examples''
atmosphere_water__precipitation_duration
atmosphere_water__liquid_equivalent_precipitation_rate  (in liquid or solid form)
atmosphere_ice__precipitation_rate
atmosphere_snow__precipitation_rate
titan_atmosphere_methane__liquid_equivalent_precipitation_rate (on Titan)
 
* Precipitation is not a quantity, but rather a process as defined at the top of the [[CSN_Process_Names | '''CSDMS Process Names''']] pageHowever, there are several quantities associated with precipitation, as seen in the examples above.  A "precipitation_rate" has units of [length / time] (e.g. mm per hour).
:
:
* "Rainfall" is a somewhat unusual example of a process name in that the relevant object (rain) and the associated process (falling) have been fused to create the process name. Adding the object part in front would mean repeating the word rain. But "rain" is also a verb and "raining" is therefore a valid process name, but only for liquid water. The CSDMS Standard Names avoid this issue by using the process name "precipitation" instead of "rainfall" or "raining" and then specifying the object that is precipitating, such as "water" or perhaps "methane" for Titan. Since water can precipitate in liquid or solid form, each with a different density, precipitation rates are often quantified as "liquid water equivalent". The corresponding CSDMS standard name is: "atmosphere_water__liquid-equivalent_precipitation_rate", which generalizes to other substances (like methane on Titan). See: Precipitation (chemistry) and Precipitation (meteorology).  
* In geology, the term [http://en.wikipedia.org/wiki/Overburden_pressure '''overburden pressure'''] or ''confining_pressure'', is used.
:
:
* Note that in the CSDMS Standard Names, it is considered unnecessary and redundant to insert "liquid_equivalent" into the names "ice__melt_rate" and "snow__melt_rate", since the process of melting converts ice and snow to liquid water.
* Although the pressure generated by a sound wave is sometimes called [http://en.wikipedia.org/wiki/Sound_pressure '''sound pressure'''], the standard name would then be something like: "air_sound-wave" + "pressure".
:
:
* The name "snow__liquid_equivalent_depth" is also used and is computed by multiplying the "snow__depth" by the "liquid_water_to_snow_density_ratio".
* In cosmology, there is also a concept of "negative pressure".
:
:
* The word "water" by itself does not indicate whether the state is gas, liquid or solid.
* Note that "atmosphere_bottom_air" + "pressure" and "land_surface_air" + "pressure" would mean the same thing, but the former is preferred.
:
:
* See the templates for Process Attributes and Rates of Processes for more information.
* See:  [http://en.wikipedia.org/wiki/Atmospheric_pressure Atmospheric pressure], [http://en.wikipedia.org/wiki/Dynamic_pressure Dynamic pressure], [http://en.wikipedia.org/wiki/Osmotic_pressure Osmotic pressure], [http://en.wikipedia.org/wiki/Overburden_pressure Overburden pressure], [http://en.wikipedia.org/wiki/Partial_pressure Partial pressure], [http://en.wikipedia.org/wiki/Pressure Pressure], [http://en.wikipedia.org/wiki/Pressure_head Pressure head], [http://en.wikipedia.org/wiki/Radiation_pressure Radiation pressure], [http://en.wikipedia.org/wiki/Stagnation_pressure Stagnation pressure], [http://en.wikipedia.org/wiki/Static_pressure Static pressure], [http://en.wikipedia.org/wiki/Surface_tension Surface tension] and [http://en.wikipedia.org/wiki/Vapor_pressure Vapor Pressure].


<br/>  
<br/>  
<!-- ============================================= -->
<!-- ============================================= -->


== {{ Bar Heading| text=Pressure}} ==
== {{ Bar Heading| text=Process Attributes}} ==


&nbsp; base_quantity = "pressure"
&nbsp; [ process name ] + [ base_quantity ]


&nbsp; ''Examples''
&nbsp; ''Examples''
  channel_bed_water__hydrostatic_pressure
  digestion_period, gestation_period, hibernation_period,
  channel_bed_water__pressure 
  incubation_period, sleeping_period
  channel_water__pressure      (anywhere in the channel)
  -------------------------------------------------------------------
earth_atmosphere__pressure
  lapse_rate,  
land_surface_air__pressure
    (also: earth_atmosphere_at_land_surface_pressure ??)
 
* Pressure may be thought of as "force per unit area".
:
* The quantity "pressure_head" is used in hydraulics and in ground water modeling but it has units of length.  It is often negative, and negative pressure is sometimes called ''suction''.  See Head.
:
* Note that additional assumptions like "equilibrium" and "hydrostatic" could be left out of the name and instead provided using an <assume> tag in the metadata file, but they are currently allowed as modifiers in the quantity name also.
:
* Pressure requires specifying a single object (e.g. air) but "partial pressure" requires two different objects to be specified using the "object-in-object" pattern.  See the quantity template for Partial Pressure.
:
* In meteorology, the term "vapor pressure" is used to mean the partial pressure of water vapor in the atmosphere, even if it is not in equilibrium, and the adjective equilibrium is inserted otherwise.  Our "object-in-object" pattern therefore prescribes using:  "water_vapor_in_air_partial_pressure" instead of just "air_vapor_pressure".  See [http://en.wikipedia.org/wiki/Vapor_pressure Vapor Pressure].
:
* Electromagnetic radiation exerts [http://en.wikipedia.org/wiki/Radiation_pressure radiation pressure] on an illuminated surface.  A [http://en.wikipedia.org/wiki/Crookes_radiometer Crookes radiometer] is often used to illustrate this effect, but it is now known that a combination of Einstein and Reynolds forces (thermal transpiration) is actually responsible for making them turn.
:
* In cosmology, there is also a concept of "negative pressure".
:
* In geology, the term ''confining_pressure'' or ''overburden_pressure'' is used.
 
<br/>
<!-- ============================================= -->
 
== {{ Bar Heading| text=Process Attributes}} ==
 
&nbsp; quantity = [ process name ] + [ base_quantity ]
 
&nbsp; ''Examples''
  digestion_period, gestation_period, hibernation_period,
incubation_period, sleeping_period
  -------------------------------------------------------------------
  -------------------------------------------------------------------
  infiltration_rate, lapse_rate, melt_rate, precipitation_rate,
  evaporation_mass_flux, infiltration_mass_flux, melt_mass_flux,
  rainfall_rate (use precipitation instead?)
  precipitation_mass_flux
    (Note: "melt" -> "melting" ?)
 
  evaporation_volume_flux, infiltration_volume_flux, melt_volume_flux,
  precipitation_volume_flux
  -------------------------------------------------------------------
  -------------------------------------------------------------------
  conception_date
  conception_date
Line 2,534: Line 2,372:
  starting_date        (or "start_date" ??)
  starting_date        (or "start_date" ??)
  ----------------------
  ----------------------
  rainfall_duration
  precipitation_duration
  sunshine_duration
  sunshine_duration
  ----------------------
  ----------------------
Line 2,556: Line 2,394:
  turning_radius
  turning_radius


* Process names are almost always generated by converting a verb to a noun with a standard ending like "tion".  See [[ CSN_Process_Names | '''CSDMS Process Names''' ]] for more details and a long list of examples.
* Many quantity names are created by pairing a process name with a base quantity name.  See the Process Name + Base Quantity Name Pattern are given on the  [[CSN_Process_Quantity_Names | '''CSDMS Process Name + Quantity Name Pattern''']] page for a long list of examples.
:
* Process names are almost always generated by converting a verb to a noun with a standard ending like "tion".  See [[ CSN_Process_Names | '''CSDMS Process Names''' ]] for details and a long list of examples.
:
:
* The base quantity "_rate" makes sense for most processes, but a given process if often naturally associated with other base quantities.
* Pairing a process name with the base quantity name "rate" makes sense for most processes, but a given process if often naturally associated with other base quantities (e.g. gestation_period).  See the Rate template for examples where the base quantity is "rate".  
:
:
* In the example of "birth_weight", "birth" is a process that is happening to the baby, while "delivery" or "giving birth" is the process happening to the mother. (i.e. "infant_birth_weight" and perhaps "pregnant_female_delivery_date")
* In the example of "birth_weight", "birth" is a process that is happening to the baby, while "delivery" or "giving birth" is the process happening to the mother. (i.e. "infant_birth_weight" and perhaps "pregnant_female_delivery_date")
:
* See the Rates of Processes template for examples where the base quantity is "rate".


<br/>  
<br/>  
Line 2,569: Line 2,407:
== {{ Bar Heading| text=Radiation}} ==
== {{ Bar Heading| text=Radiation}} ==


&nbsp; quantity = "radiation_" + quantity
&nbsp; "radiation_" + quantity


&nbsp; ''Examples''
&nbsp; ''Examples''
  incandescent_light_bulb__radiation_intensity   ? ##### CHECK
  light-bulb~incandescent__radiant_intensity   ? ##### CHECK
  universe__cosmic_background_radiation_frequency
  universe__cosmic_background_radiation_frequency
 
atmosphere__absorbed_incoming_shortwave_radiation_flux
atmosphere__reflected_incoming_shortwave_radiation_flux    (by aerosols or clouds)
atmosphere__transmitted_incoming_shortwave_radiation_flux  (sent to land surface)
atmosphere_aerosol__absorbed_incoming_shortwave_radiation_flux
atmosphere_aerosol__reflected_incoming_shortwave_radiation_flux
atmosphere_aerosol__transmitted_incoming_shortwave_radiation_flux
atmosphere_aerosol__downward_outgoing_longwave_radiation_flux  (emitted)
atmosphere_cloud__absorbed_incoming_shortwave_radiation_flux    (or "cloud_in_atmosphere" ?)
atmosphere_cloud__reflected_incoming_shortwave_radiation_flux
atmosphere_cloud__transmitted_incoming_shortwave_radiation_flux
atmosphere_cloud__downward_outgoing_longwave_radiation_flux  (emitted)
 
atmosphere_top-surface__incoming_shortwave_radiation_flux    ###### (outer_edge vs. top_surface?)
 
land_surface__backscattered_incoming_shortwave_radiation_flux
land_surface__diffuse_incoming_shortwave_radiation_flux
land_surface__direct_incoming_shortwave_radiation_flux
land_surface__incoming_longwave_radiation_flux      (incident and downward)
land_surface__outgoing_longwave_radiation_flux      (emitted and upward)
land_surface__net_longwave_radiation_flux          (net = incoming - outgoing;  it may be positive or negative)
land_surface__net_shortwave_radiation_flux        (net = incoming - outgoing;  it may be positive or negative)
 
land_or_sea_surface__net_shortwave_radiation_flux
   
sea_floor_surface__incoming_shortwave_radiation_flux
sea_surface__absorbed_incoming_shortwave_radiation_flux
sea_surface__reflected_incoming_shortwave_radiation_flux
sea_surface__transmitted_incoming_shortwave_radiation_flux
sea_water__downward_incoming_shortwave_radiation_flux  (moving downward through the water)


* Note that "radiation" (the process of generating and sending out energy) and "irradiation" (the process of receiving energy from a source of radiation) are really distinct processes, and neither is a quantity by itself.  The object in the object part of the name is either radiating energy or being irradiated by some external source of energy.  However, as of 7/23/14, the adjectives "incoming" and "outgoing" are used instead of distinguishing between these two process names.  (Similarly, "inflow" and "outflow" will not be used for fluid flow quantities.) In addition, the word "net" will be defined to mean "incoming - outgoing", and may be positive or negative. This provides additional flexibility with semantic matching and provides a single, general and more easily understood rule. Quantity names can be constructed using the '''''Process_name + Quantity Pattern'''''.  See the Process Attributes template.
* See the  [[CSN_Examples | '''CSDMS Standard Names Examples''']] page for many examples where "radiation" is viewed as an object and appears in the object part of the name and the quantity is an energy_flux.  These examples include the atmosphere, glacier, land_surface, sea_water and snowpack.  Together they cover most of the Earth's basic radiation budget.
:
* Note that "radiation" (the process where an object generates and sends out energy) and "irradiation" (the process where an object receives energy from a source) are really distinct processes, and neither is a quantity by itself.  The object in the object part of the name is either radiating energy or being irradiated by some external source of energy.  However, as of 7/23/14, the adjectives "incoming" and "outgoing" are used instead of distinguishing between these two process names.  (Similarly, "inflow" and "outflow" will not be used for fluid flow quantities.)  This provides additional flexibility with semantic matching and provides a single, general and more easily understood rule. Quantity names can be constructed using the '''''Process_name + Quantity Pattern'''''.  See the Process Attributes template.
:
:
* Incoming fluxes generated externally (from the point of view of the object name) and outgoing fluxes generated internally both have positive signs, by convention.
* Incoming fluxes generated externally (from the point of view of the object name) and outgoing fluxes generated internally both have positive signs, by convention.
:
:
* The examples above cover most of the Earth's basic radiation budget.
* The adjectives "upwelling" and "downwelling" are frequently used to mean "from the ground" and "from the sky".  Note that "upwelling" longwave radiation would include longwave radiation emitted by the land surface as well as longwave radiation reflected from the land surface, but originally emitted from clouds or aerosols.  So far, these adjectives are not used in the CSDMS Standard Names.
:
:
* Adjectives like longwave, shortwave, microwave, visible, infrared, thermal_infrared, ultraviolet and so on are typically inserted just before the word radiation.
* Adjectives like longwave, shortwave, microwave, visible, infrared, thermal-infrared, ultraviolet and so on are typically inserted just before the word radiation.
:
:
* In a vacuum (e.g. space), the refraction index for all wavelengths of light is 1, so the speed of light is independent of wavelength.  In other media, such as air and water, the refraction index (and therefore the speed) varies with wavelength.  See the Index template.
* In a vacuum (e.g. space), the refraction index for all wavelengths of light is 1, so the speed of light is independent of wavelength.  In other media, such as air and water, the refraction index (and therefore the speed) varies with wavelength.  See the Index template.
:
:
* Radiation fluxes typically have units of [W m-2].  See the Flux template.
* Radiation fluxes are '''energy fluxes''' (see the Flux template) and have SI units of [W m-2] = [J m-2 s-1].


<br/>  
<br/>  
Line 2,638: Line 2,448:
<!-- ============================================= -->
<!-- ============================================= -->


== {{ Bar Heading| text=Rate of a Process}} ==
== {{ Bar Heading| text=Rate}} ==


&nbsp; quantity = [ process name ] + "_rate"
&nbsp; base_quantity ="rate" <br/>
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; [ process name ] + "_rate"


&nbsp; ''Examples''
&nbsp; ''Examples''
  air__temperature_lapse_rate
  atmosphere_air__temperature_lapse_rate
  atmosphere_water__liquid-equivalent_precipitation_rate
  automobile_fuel__consumption_rate
  glacier_terminus__calving_rate
  glacier_terminus__calving_rate
  human_alcohol__consumption_rate
  human_alcohol__consumption_rate
ice__precipitation_rate
land_surface_water__evaporation_rate
land_surface_water__infiltration_rate
methane__liquid_equivalent_precipitation_rate  (on Titan)
snow__melt_rate
snow__precipitation_rate
vehicle_fuel__consumption_rate


* When necessary for clarification, the standard assumption name "liquid_equivalent" can be included with an <assume> tag in a Model Metadata file.  It seems that the quantity "ice_melt_rate", however, implies a rate at which water is being generated.  In the CF Standard Names, "lwe" is used as a standard abbreviation for "liquid_water_equivalent" and this abbreviation is used as an adjective.
* The word "rate" means '''per unit time''' and is often paired with a process name to create a quantity name that quantifies how fast the process occurs, as in the examples above.
:
:
* Note that "precipitation_rate" follows the '''Process_name + Quantity Pattern''' and is used in the examples instead of "icefall_rate", "rainfall_rate" and "snowfall_rate".  Terms like "rainfall_rate" and "rain_rate", though commonly used, do not lend themselves to our general (object + quantity) pattern.  Note that "rainfall" is a contraction of object (rain) and process (falling) names.
* Quantity names like: "evaporation rate", "infiltration rate", "melt rate" and "precipitation rate" are ambiguous because these rates can be quantified with either a mass flux [kg m-2 s-1] or a volume flux [m s-1].  (The latter is what is usually meant.) So, for example, we can have "glacier_ice" + "melt_mass_flux", "glacier_ice" + "melt_volume_flux", "evaporation_mass_flux", "evaporation_volume_flux", etc.
:
:
* See Precipitation and the [[CSN_Process_Names | '''CSDMS Process Names''']].
* Many examples of process names (and a definition) are given on the [[CSN_Process_Names | '''CSDMS Process Names''']] page.
:
* Many examples of the Process Name + Base Quantity Name Pattern are given on the  [[CSN_Process_Quantity_Names | '''CSDMS Process Name + Quantity Name Pattern''']] page.
:
* When necessary for clarification, the standard assumption name "liquid_equivalent" can be included with an <assume> tag in a Model Coupling Metadata (MCM) file.  It seems that the quantity "ice_melt_rate", however, implies a rate at which water is being generated.  In the CSDMS Standard Names, "leq-volume" is used as an abbreviation for "liquid-equivalent volume".  In the CF Standard Names, "lwe" is used as a standard abbreviation for "liquid_water_equivalent" and this abbreviation is used as an adjective.
:
* Terms like "rainfall_rate" and "rain_rate", though commonly used, do not lend themselves to our general (object + quantity) pattern.  Note that "rainfall" is a contraction of object (rain) and process (falling) names.
:
* See Precipitation.


<br/>  
<br/>  
Line 2,667: Line 2,480:


&nbsp; base_quantity = "ratio" <br/>
&nbsp; base_quantity = "ratio" <br/>
&nbsp; quantity_suffix = "ratio" (in some cases) <br/>
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; quantity = "aspect_ratio" <br/>
&nbsp; "aspect_ratio" <br/>
&nbsp; quantity = "mass_ratio"  
&nbsp; "bowen_ratio" <br/>
&nbsp; "dilution_ratio" <br/>
&nbsp; "mass_ratio"  


&nbsp; ''Examples''
&nbsp; ''Examples''
  air_to_fuel__mass_ratio     (or "mixture_ratio")
  bear_brain-to-body__mass_ratio
  bear__brain_to_body_mass_ratio
earth_ellipsoid__inverse_of_flattening_ratio
earth_ellipsoid__inverse_flattening_ratio
engine_air-to-fuel__mass_ratio     (or "mixture_ratio")
fuel_to_oxidizer__equivalence_ratio   ###
  fuel-to-oxidizer__equivalence_ratio   ###
  image__aspect_ratio
  image__aspect_ratio
lake__bowen_ratio
  lithosphere__poisson_ratio
  lithosphere__poisson_ratio
  rocket_payload__mass_ratio
  rocket_payload__mass_ratio
  rocket_propellant__mass_ratio
  rocket_propellant__mass_ratio
    
    
  channel_cross_section__width_to_depth_ratio  
  channel_x-section__width-to-depth_ratio  
  electron__charge_to_mass_ratio
  electron__charge-to-mass_ratio


* Some ratios are the ratio of the same quantity as measured for two different objects while others are ratios of two different quantities measured on a single object. The '''Object-to-object Quantity Pattern''' is used for the first case and the '''Quantity-to-Quantity Pattern''' is used for the second case.  Examples for both cases are given above.
* Some ratios are the ratio of the same quantity as measured for two different objects while others are ratios of two different quantities measured on a single object. The '''Object-to-object Quantity Pattern''' is used for the first case and the '''Quantity-to-Quantity Pattern''' is used for the second case.  Examples for both cases are given above.
Line 2,690: Line 2,506:
* "ratio" serves as a quantity suffix in quantities like "mass_ratio", but is also allowed as a base quantity.
* "ratio" serves as a quantity suffix in quantities like "mass_ratio", but is also allowed as a base quantity.
:
:
* Note that "relative_roughness" is a quantity that is defined as the ratio of the roughness length scale and the water depth in a channel.  So ''channel_bed_relative_roughness'' is a valid standard name but ''channel_bed_roughness_length_to_water_depth_ratio'' is also valid.
* Note that "relative_roughness" is a quantity that is defined as the ratio of the roughness length scale and the water depth in a channel.  So ''channel_bed_relative_roughness'' is a valid standard name but ''channel_bed_roughness_length-to-water_depth_ratio'' is also valid.
:
:
* "aspect_ratio" generally means the ratio of the lengths of the long and short sides of a rectangle;  1 for a square and > 1 otherwise.
* "aspect_ratio" generally means the ratio of the lengths of the long and short sides of a rectangle;  1 for a square and > 1 otherwise.
Line 2,700: Line 2,516:
* In geodesy, the "flattening ratio" and "inverse flattening ratio" are used to characterize a standard ellipsoid.  See [http://en.wikipedia.org/wiki/Flattening Flattening].
* In geodesy, the "flattening ratio" and "inverse flattening ratio" are used to characterize a standard ellipsoid.  See [http://en.wikipedia.org/wiki/Flattening Flattening].
:
:
* There are many ratios in economics, including "debt_to_credit_ratio", [http://en.wikipedia.org/wiki/Debt_ratio Debt ratio], [http://en.wikipedia.org/wiki/Debt-to-GDP_ratio Debt-to-GDP ratio], [http://en.wikipedia.org/wiki/Debt-to-income_ratio Debt-to-income ratio] and [http://en.wikipedia.org/wiki/Loan-to-value_ratio Loan_to_value_ratio].
* There are many ratios in economics, including "debt-to-credit_ratio", [http://en.wikipedia.org/wiki/Debt_ratio Debt ratio], [http://en.wikipedia.org/wiki/Debt-to-GDP_ratio Debt-to-GDP ratio], [http://en.wikipedia.org/wiki/Debt-to-income_ratio Debt-to-income ratio] and [http://en.wikipedia.org/wiki/Loan-to-value_ratio Loan-to-value_ratio].
:
:
* See [http://en.wikipedia.org/wiki/Fineness_ratio Fineness ratio], [http://en.wikipedia.org/wiki/Mass_ratio Mass ratio], [http://en.wikipedia.org/wiki/Poisson_ratio Poisson ratio], [http://en.wikipedia.org/wiki/Power-to-weight_ratio Power-to-weight ratio] and [http://en.wikipedia.org/wiki/Ratio Ratio].
* See [http://en.wikipedia.org/wiki/Fineness_ratio Fineness ratio], [http://en.wikipedia.org/wiki/Mass_ratio Mass ratio], [http://en.wikipedia.org/wiki/Poisson_ratio Poisson ratio], [http://en.wikipedia.org/wiki/Power-to-weight_ratio Power-to-weight ratio] and [http://en.wikipedia.org/wiki/Ratio Ratio].
Line 2,709: Line 2,525:
== {{ Bar Heading| text=Reference Quantities}} ==
== {{ Bar Heading| text=Reference Quantities}} ==


&nbsp; quantity = "reference_" + quantity1 + "_" + quantity2 <br/>
&nbsp; "reference_" + quantity1 + "_" + quantity2 <br/>
&nbsp; quantity = quantity1 + "_reference_" + quantity2
&nbsp; quantity1 + "_reference_" + quantity2


&nbsp; ''Examples''
&nbsp; ''Examples''
 
atmosphere_air_radiation__standard_refraction_index
 
land_surface_wind__reference_height_speed
land_surface_wind__speed_reference_height    ("reference" is between the quantities)
 
  sea_surface_air__reference_pressure  ??  (insert "dry" before "reference"?)
  sea_surface_air__reference_pressure  ??  (insert "dry" before "reference"?)
  sea_surface_air__reference_temperature ??
  sea_surface_air__reference_temperature ??
 
air__standard_refraction_index
 
wind__reference_height_speed
wind__speed_reference_height    ("reference" is between the quantities)
    
    
  soil__reference_depth_temperature
  soil__reference_depth_temperature
Line 2,733: Line 2,548:
* These quantities typically contain a word like "reference" or "standard".  These two words may be treated as reserved words in the CSDMS Standard Names.
* These quantities typically contain a word like "reference" or "standard".  These two words may be treated as reserved words in the CSDMS Standard Names.
:
:
* Many quantities are defined for "standard_temperature_and_pressure" or STP and this is one of the standardized [[CSN_Assumption_Names | '''CSDMS Assumption Names''']] that can be specified with an <assume> tag. However, there is not one standard definition of STP.  The IUPAC (International Union of Pure and Applied Chemistry) defines STP as air at a temperature of 0 degrees C and a pressure of 10^5 Pa.  In the US and elsewhere, STP is defined as air at a temperature of 60 degrees F and 14.696 psia (1 atm).  An additional <assume> tag will therefore be required to avoid ambiguity.
* Many quantities are defined for "standard_temperature-and-pressure" or STP and this is one of the standardized [[CSN_Assumption_Names | '''CSDMS Assumption Names''']] that can be specified with an <assume> tag. However, there is not one standard definition of STP.  The IUPAC (International Union of Pure and Applied Chemistry) defines STP as air at a temperature of 0 degrees C and a pressure of 10^5 Pa.  In the US and elsewhere, STP is defined as air at a temperature of 60 degrees F and 14.696 psia (1 atm).  An additional <assume> tag will therefore be required to avoid ambiguity.
:
:
* Many quantities, such as [http://en.wikipedia.org/wiki/Geopotential_height geopotential height] are defined relative to Earth's [http://en.wikipedia.org/wiki/Mean_sea_level mean sea level] or MSL.  An <assume> tag is needed to define the corresponding reference value.   
* Many quantities, such as [http://en.wikipedia.org/wiki/Geopotential_height geopotential height] are defined relative to Earth's [http://en.wikipedia.org/wiki/Mean_sea_level mean sea level] or MSL.  An <assume> tag is needed to define the corresponding reference value.   
Line 2,745: Line 2,560:
* The quantity suffix "Anomaly" also requires providing <assume> tags in a Model Metadata File to specify how the "mean climatology" reference value is defined.  
* The quantity suffix "Anomaly" also requires providing <assume> tags in a Model Metadata File to specify how the "mean climatology" reference value is defined.  


<br/>  
<br/>
<!-- ============================================= -->
<!-- ============================================= -->


== {{ Bar Heading| text=Scale}} ==
== {{ Bar Heading| text=Reflectance}} ==


&nbsp; quantity_suffix = "scale" <br/>
&nbsp; base_quantity = "reflectance" <br/>
&nbsp; quantity = "length_scale" <br/>
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; quantity = "time_scale" <br/>
&nbsp; "broadband_reflectance" <br/>
&nbsp; quantity = "velocity_scale"
&nbsp; "spectral_reflectance"


&nbsp; ''Examples''
&nbsp; ''Examples''
  *_batchelor_scale
  atmosphere_air_radiation~incoming~longwave__reflectance
*_kolmogorov_length_scale
*_kolmogorov_time_scale
*_kolmogorov_velocity_scale
*_mesoscopic_length_scale
*_obukhov_length_scale
*_planck_length_scale
*_planck_time_scale
*_taylor_length_scale


* This is another quantity suffix, used to create new quantity names from existing quantity names.  It often is used to indicate the value of a quantity that is as small as it can be for the given system and therefore able to serve as a natural unit of measure.
* Reflectance (also called "reflectivity") is the ratio of the power per unit area [W m-2] of electromagnetic radiation '''''reflected''''' by a surface to the original, '''''incident''''' power per unit area (or irradiance).  It is a dimensionless number between 0 (for a perfectly black surface) and 1 (for a perfectly white surface).
:
* Absorptance + Reflectance + Transmittance = 1.  See Reflectance and Transmittance below.
:
* Various authors recommend using the terms: Absorptivity, Emissivity, Reflectivity and Transmissivity as properties of a pure material and Absorptance, Emittance, Reflectance and Transmittance as the analogous terms for the characteristics of a specimen or sample.  See: Palmer, J.M. (1994) Chapter 25: The measurement of transmission, absorption, emission and reflection, Handbook of Optics, 2nd ed., Part II, M. Bass, editor, McGraw-Hill, NY.  (A PDF file is available [http://photonics.intec.ugent.be/education/ivpv/res_handbook/v2ch25.pdf '''here'''].)
:
:
* The adjective "characteristic" is often inserted before the base quantity name, as in "characteristic_length_scale".
* '''Reflectance''' is the square of the magnitude of the "reflection coefficient" from [http://en.wikipedia.org/wiki/Fresnel_equations '''Fresnel's equation'''].  In general, the refraction index and reflection coefficient are complex numbers, as they are for materials that can absorb radiation.
:
:
* See: [http://en.wikipedia.org/wiki/Length_scale Length scale], [http://en.wikipedia.org/wiki/Kolmogorov_microscales Kolmogorov microscales], [http://en.wikipedia.org/wiki/Batchelor_scale Batchelor scale] and [http://en.wikipedia.org/wiki/Taylor_microscale Taylor microscale].
* The quantity "spectral reflectance" is the reflectance associated with a specific wavelength, while "broadband reflectance" is an integral over a range of wavelengths. If a radiation band like "shortwave" or "longwave" is specified in the object part of the name, then it is unnecessary to specify broadband or spectral in the quantity part.
:
:
* See [http://en.wikipedia.org/wiki/Natural_units Natural units], [http://en.wikipedia.org/wiki/Planck_units Planck units], [http://en.wikipedia.org/wiki/Planck_length Planck length] and [http://en.wikipedia.org/wiki/Planck_time Planck time].
* Albedo is a very closely related concept.  See Albedo above.
:
:
* Other interesting length scales include the [http://en.wikipedia.org/wiki/Obukhov_Length Obukhov length],[http://en.wikipedia.org/wiki/Mesoscopic_scale Mesoscopic scale], [http://en.wikipedia.org/wiki/Synoptic_scale_meteorology Synoptic scale] and [http://en.wikipedia.org/wiki/Nanoscale Nanoscale].
* See: [http://en.wikipedia.org/wiki/Absorbance Absorbance], [http://en.wikipedia.org/wiki/Albedo Albedo], [http://en.wikipedia.org/wiki/Attenuation_coefficient Attenuation coefficient], [http://en.wikipedia.org/wiki/Beer–Lambert_law Beer-Lambert law], [http://en.wikipedia.org/wiki/Fresnel_equations Fresnel equations], [http://en.wikipedia.org/wiki/Mass_attenuation_coefficient Mass attenuation coefficient], [http://en.wikipedia.org/wiki/Opacity_(optics) Opacity (optics)], [http://en.wikipedia.org/wiki/Reflectivity Reflectance] and [http://en.wikipedia.org/wiki/Transmittance Transmittance].


<br/>  
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<!-- ============================================= -->
<!-- ============================================= -->
== {{ Bar Heading| text=Sinuosity}} ==


&nbsp; base_quantity = "sinuosity" <br/>
== {{ Bar Heading| text=Resistance}} ==
&nbsp; quantity = "straight_sinuosity" <br/>
 
&nbsp; quantity = "valley_sinuosity"
&nbsp; base_quantity = "resistance"  <br/>
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; "electrical_resistance" <br/>
&nbsp; "stomatal_resistance" <br/>
&nbsp; "specific_thermal_resistance" <br/>
&nbsp; "thermal_resistance"


&nbsp; ''Examples''
&nbsp; ''Examples''
  channel_centerline__straight_sinuosity
  None yet.
channel_centerline__valley_sinuosity
 
valley_centerline__straight_sinuosity
* Electrical impedance is a complex-valued quantity, where the real part is the familiar '''resistance''' (with SI unit "ohm") and the imaginary part is the less-familiar [http://en.wikipedia.org/wiki/Electrical_reactance '''reactance'''].  See Impedance above.
* Sinuosity is a dimensionless measure of the extent to which a river channel wiggles or deviates from a more direct path.  Although it can be defined in different ways, the result is always a number that is greater than or equal to 1.
:
* In geomorphology, the standard type of sinuosity &mdash; which we call "valley sinuosity" &mdash; is the ratio of the centerline length of a channel to the centerline length of the valley that contains that channel.  However, the centerline length of a valley can be difficult to measure with Geographic Information System (GIS) software.  An alternative, which we call "straight sinuosity", is the ratio of the centerline length of a channel to the straight-line distance between the two endpoints of the channel (i.e. "as the crow flies"). Note that "straight sinuosity" will always be greater than or equal to "valley sinuosity".
:
* Note that the word "centerline" is inserted in accordance with the '''Object_name + model_name Pattern''' (i.e. a model of the object in question for which "length" is well-defined) and seems preferable to "axis", "backbone" and "curve".
:
* Recall that a "geodesic" is the shortest path between two points in a space that may be curved.  On the surface of a sphere, a geodesic is given by the "great circle" that passes through two given points on the sphere.  In a plane, the geodesic is just the straight line segment or "chord" that connects the two points.  Geometry in the plane is also called [http://en.wikipedia.org/wiki/Euclidean_geometry Euclidean geometry].  
:
* Other types of sinuosity have also been defined in the literature, including: floodplain sinuosity, terrace sinuosity and meander belt sinuosity.
:
:
* Even in a channel with straight banks, one can define a "thalweg" sinuosity by using thalweg centerline length in the numerator.
* '''Conductance''' is the inverse of resistance, with SI unit "siemens".
:
:
* We could construct longer and more descriptive standard names for different types of sinuosities such as: <br\> "channel_centerline_to_valley_centerline__length_ratio" and <br\> "channel_centerline_to_straight_line__length_ratio". <br/> This may help to avoid ambiguity for the less common types of sinuosity.  We could even replace "length_ratio" in these names with "sinuosity".
* There is also: [http://en.wikipedia.org/wiki/Antibiotic_resistance Antibiotic resistance].
:
:
* See: [http://en.wikipedia.org/wiki/Sinuosity Sinuosity], [http://en.wikipedia.org/wiki/Tortuosity Tortuosity], [http://en.wikipedia.org/wiki/Chord_(geometry) Chord], [http://en.wikipedia.org/wiki/Geodesic Geodesic] and [http://en.wikipedia.org/wiki/Meander Meander].
* See: [http://en.wikipedia.org/wiki/Capacitance Capacitance], [http://en.wikipedia.org/wiki/Electrical_reactance Electrical reactance], [http://en.wikipedia.org/wiki/Electrical_resistance Electrical resistance], [http://en.wikipedia.org/wiki/Inductance Inductance] and [http://en.wikipedia.org/wiki/Thermal_resistance Thermal resistance].


<br/>  
<br/>  
<!-- ============================================= -->
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== {{ Bar Heading| text=Solubility}} ==
== {{ Bar Heading| text=Resistivity}} ==


&nbsp; base_quantity = "solubility"
&nbsp; base_quantity = "resistivity" <br/>
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; "electrical_resistivity"  [siemens-1 m] or [ohm m] <br/>
&nbsp; "hydraulic_resistivity"  [m-1 s] <br/>
&nbsp; "ionic_resistivity"  <br/>
&nbsp; "thermal_resistivity"    [W-1 m K]  (this is an intensive property; don't need to add "specific") <br/>


&nbsp; ''Examples''
&nbsp; ''Examples''
  water_carbon-dioxide__solubility
  snow__thermal_resistivity
water_diethyl-ether__solubility
water_ethanol__solubility


* This quantity always involves two substances and therefore requires using the '''Object-in-object Quantity Pattern'''.  However, use of the reserved word "in" is now deprecated. (7/23/14).  Instead, the containing object is listed first, followed by those contained and multi-word object names are hyphenated.  See the templates for Partial Pressure and Fraction (volume fraction) which are similar in this regard.
* '''Resistivity''' is the reciprocal of '''conductivity''' and both are "intensive" properties, so the prefix "specific" is not needed.
:
:
* The solubility of a gas in a solvent is directly proportional to the partial pressure of that gas in the solvent.  See: [http://en.wikipedia.org/wiki/Solubility Solubility].
* '''Resistance''' and '''conductance''' are also reciprocals, but are "extensive" properties.
:
:
* [http://en.wikipedia.org/wiki/Miscibility Miscibility] is the property of liquids to mix in all proportions to form a homogeneous solution and is a closely related concept. It is not a quantity, however.
* See:  [http://en.wikipedia.org/wiki/Electrical_resistivity-and-conductivity, [http://en.wikipedia.org/wiki/Hydraulic_conductivity Hydraulic conductivity], [http://en.wikipedia.org/wiki/Ionic_conductivity Ionic conductivity], [http://en.wikipedia.org/wiki/Thermal_conductivity Thermal conductivity] and [http://en.wikipedia.org/wiki/Thermal_resistance Thermal resistance].


<br/>  
<br/>  
<!-- ============================================= -->
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== {{ Bar Heading| text=Span}} ==
== {{ Bar Heading| text=Scale}} ==


&nbsp; base_quantity = "span"
&nbsp; quantity_suffix = "scale" <br/>
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; "length_scale" <br/>
&nbsp; "time_scale" <br/>
&nbsp; "velocity_scale"


&nbsp; ''Examples''
&nbsp; ''Examples''
  airplane_wing__span
  *_batchelor_scale
  beam__span
  *_kolmogorov_length_scale
  bridge__span
  *_kolmogorov_time_scale
  human_life__span #### (or human_life__max_of_duration ??)
  *_kolmogorov_velocity_scale
*_mesoscopic_length_scale
*_obukhov_length_scale
*_planck_length_scale
  *_planck_time_scale
  *_taylor_length_scale


* Span is an unusual quantity name that may have units of length or time depending on the context.
* This is another quantity suffix, used to create new quantity names from existing quantity names.  It often is used to indicate the value of a quantity that is as small as it can be for the given system and therefore able to serve as a natural unit of measure.
:
* The adjective "characteristic" is often inserted before the base quantity name, as in "characteristic_length_scale".
:
* See: [http://en.wikipedia.org/wiki/Length_scale Length scale], [http://en.wikipedia.org/wiki/Kolmogorov_microscales Kolmogorov microscales], [http://en.wikipedia.org/wiki/Batchelor_scale Batchelor scale] and [http://en.wikipedia.org/wiki/Taylor_microscale Taylor microscale].
:
:
* "Wingspan" is a contraction of an object name (part of another object) and a quantity name. An underscore is inserted in a CSDMS standard name to indicate that "span" is the base quantity.
* See [http://en.wikipedia.org/wiki/Natural_units Natural units], [http://en.wikipedia.org/wiki/Planck_units Planck units], [http://en.wikipedia.org/wiki/Planck_length Planck length] and [http://en.wikipedia.org/wiki/Planck_time Planck time].
:
:
* See: [http://en.wikipedia.org/wiki/List_of_spans List of spans],[http://en.wikipedia.org/wiki/Maximum_life_span Maximum life span], [http://en.wikipedia.org/wiki/Span_(architecture) Span (in architecture)], [http://en.wikipedia.org/wiki/Span_(length) Span (as a unit)] and [http://en.wikipedia.org/wiki/Wingspan Wingspan].
* Other interesting length scales include the [http://en.wikipedia.org/wiki/Obukhov_Length Obukhov length],[http://en.wikipedia.org/wiki/Mesoscopic_scale Mesoscopic scale], [http://en.wikipedia.org/wiki/Synoptic_scale_meteorology Synoptic scale] and [http://en.wikipedia.org/wiki/Nanoscale Nanoscale].


<br/>  
<br/>  
<!-- ============================================= -->
<!-- ============================================= -->
== {{ Bar Heading| text=Speed}} ==
== {{ Bar Heading| text=Sinuosity}} ==


&nbsp; base_quantity = "speed" <br/>
&nbsp; base_quantity = "sinuosity" <br/>
&nbsp; quantity = "escape_speed" <br/>
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; quantity = "flow_speed" <br/>
&nbsp; "downvalley_sinuosity"
&nbsp; quantity = "settling_speed" <br/>
&nbsp; quantity = "terminal_speed"


&nbsp; ''Examples''
&nbsp; ''Examples''
  channel_water__flow_speed
  channel_centerline__downvalley_sinuosity
  glacier_bed__sliding_speed
  channel_centerline__sinuosity
  wind__speed
  channel_valley_centerline__sinuosity
 
* The quantity name "speed" is equivalent to "magnitude_of_velocity". Velocity components use the "component_of" operation prefix. See the Component template.
* Sinuosity is a dimensionless measure of the extent to which a river channel wiggles or deviates from a more direct path.  Although it can be defined in different ways, the result is always a number that is greater than or equal to 1.
:
* In geomorphology, the standard type of sinuosity &mdash; which we here call "downvalley_sinuosity" &mdash; is the ratio of the centerline length of a channel to the centerline length of the valley that contains that channel.  However, the centerline length of a valley can be difficult to measure with Geographic Information System (GIS) software.  The word "sinuosity" (without qualification) is the ratio of the centerline length of a channel to the straight-line distance between the two endpoints of the channel (i.e. "as the crow flies"). Note that "sinuosity" will always be greater than or equal to "downvalley sinuosity".
:
* Note that the word "centerline" is inserted in accordance with the '''Object_name + model_name Pattern''' (i.e. a model of the object in question for which "length" is well-defined) and seems preferable to "axis", "backbone" and "curve".
:
:
* When applied to fluids, the process name "flow" is inserted in accordance with the '''Process_name + Quantity Pattern'''.
* Recall that a "geodesic" is the shortest path between two points in a space that may be curved.  On the surface of a sphere, a geodesic is given by the "great circle" that passes through two given points on the sphere.  In a plane, the geodesic is just the straight line segment or "chord" that connects the two points.  Geometry in the plane is also called [http://en.wikipedia.org/wiki/Euclidean_geometry Euclidean geometry].  
:
:
* "Velocity" is a vector quantity while "speed" is a scalar quantity. The CSDMS Standard Names may allow vector quantities so that models can attempt to retrieve all velocity components in one data structure.
* Other types of sinuosity have also been defined in the literature, including: floodplain sinuosity, terrace sinuosity and meander belt sinuosity.
:
:
* See Velocity for "escape speed", "settling speed" and "terminal speed".
* Even in a channel with straight banks, one can define a "thalweg" sinuosity by using thalweg centerline length in the numerator.
 
:
<br/>  
* We could construct longer and more descriptive standard names for different types of sinuosities such as:  <br\> "channel_centerline-to-valley_centerline" + "length_ratio" and <br\> "channel_centerline-to-straight_line" + "length_ratio".  <br/> This may help to avoid ambiguity for the less common types of sinuosity.  We could even replace "length_ratio" in these names with "sinuosity".
:
* The standard definitions of sinuosity and tortuosity appear to be identical.  The term "sinuosity_index" is sometimes used, here called "downvalley_sinuosity".  See: [http://en.wikipedia.org/wiki/Sinuosity Sinuosity] and [http://en.wikipedia.org/wiki/Tortuosity Tortuosity].
:
* See:  [http://en.wikipedia.org/wiki/Chord_(geometry) Chord], [http://en.wikipedia.org/wiki/Geodesic Geodesic] and [http://en.wikipedia.org/wiki/Meander Meander].
 
<br/>  
<!-- ============================================= -->
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== {{ Bar Heading| text=Step}} ==
== {{ Bar Heading| text=Slope}} ==


&nbsp; quantity_suffix = "step"
&nbsp; base_quantity = "slope"


&nbsp; ''Examples''
&nbsp; ''Examples''
  model__time_step
  land_surface__slope


* This is another '''quantity suffix''' (defined at the top) that is usually used when the base quantity is "time".
* Slope is a dimensionless measure of the local steepness of a surface.  It is defined as the magnitude of the gradient of elevation.  In 1D, it is computed as"rise over run".
:
:
* While an increment can have either sign, a step is generally positive.
* The term "slope_angle" is used for the angle, beta, such that:  slope = tan( beta ), or beta = arctan( slope ).
:
:
* See Increment and Time Step.
* See: [http://en.wikipedia.org/wiki/Aspect_(geography) Aspect] and [http://en.wikipedia.org/wiki/Slope Slope].


<br/>  
<br/>  
<!-- ============================================= -->
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== {{ Bar Heading| text=Strain}} ==
== {{ Bar Heading| text=Solubility}} ==
 
&nbsp; base_quantity = "solubility"


&nbsp; base_quantity = "strain"
&nbsp; ''Examples''
water_carbon-dioxide__solubility
water_diethyl-ether__solubility
water_ethanol__solubility


* Strain is a normalized measure of deformation in continuum mechanics and is therefore dimensionless.   
* This quantity always involves two substances and therefore requires using the '''Object-in-object Quantity Pattern'''.  However, use of the reserved word "in" is now deprecated. (7/23/14).  Instead, the containing object is listed first, followed by those contained and multi-word object names are hyphenatedSee the templates for Partial Pressure and Fraction (volume fraction) which are similar in this regard.
:
:
* Different fluids and substances have different "stress-strain" relationshipsFor a [http://en.wikipedia.org/wiki/Newtonian_fluid Newtonian fluid], there is a linear relationship between the shear stress and the strain rate.
* The solubility of a gas in a solvent is directly proportional to the partial pressure of that gas in the solventSee: [http://en.wikipedia.org/wiki/Solubility Solubility].
:
:
* See [http://en.wikipedia.org/wiki/Deformation_(mechanics) Deformation], [http://en.wikipedia.org/wiki/Shear_stress Shear stress], [http://en.wikipedia.org/wiki/Strain_rate Strain rate] and [http://en.wikipedia.org/wiki/Stress-strain_curve Stress-strain curve].
* [http://en.wikipedia.org/wiki/Miscibility Miscibility] is the property of liquids to mix in all proportions to form a homogeneous solution and is a closely related concept. It is not a quantity, however.


<br/>  
<br/>  
<!-- ============================================= -->
<!-- ============================================= -->
== {{ Bar Heading| text=Stress}} ==


&nbsp; base_quantity = "stress" <br/>
== {{ Bar Heading| text=Span}} ==
&nbsp; quantity = "deviatoric_stress" <br/>
 
&nbsp; quantity = "normal_stress" <br/>
&nbsp; base_quantity = "span"
&nbsp; quantity = "shear_stress"    (vs. "shearing_stress"; see below)


&nbsp; ''Examples''
&nbsp; ''Examples''
  channel_bed__magnitude_of_shear_stress
  airplane_wing__span
  channel_bed__shields_critical_shear_stress
  beam__span
  sea_floor_surface__normal_component_of_stress
  bridge__span
  sea_floor_surface__x_z_component_of_shear_stress
  human_life__span #### (or human_life__max_of_duration ??)
  sea_water__downward_eastward_component_of_shear_stress
  sea_water__downward_northward_component_of_shear_stress


* Components of stress are specified using the "component_of" operation prefix, as shown in the examples above.  For models that use a geographic coordinate system, we would use "eastward", "northward" and "upward" to describe component directions.  For models that use a Cartesian (or equal-area) coordinate system, we would use "x", "y" and "z".  
* Span is an unusual quantity name that may have units of length or time depending on the context.
:
:
* Standard adjectives for shear stress include: "skin_friction", "form_drag" and "total".
* "Wingspan" is a contraction of an object name (part of another object) and a quantity name.  An underscore is inserted in a CSDMS standard name to indicate that "span" is the base quantity.
:
:
* Conventions like "right_hand_rule" and "positive_downward" can be indicated in a Model Metadata File with <assume> tags.
* See: [http://en.wikipedia.org/wiki/List_of_spans List of spans],[http://en.wikipedia.org/wiki/Maximum_life_span Maximum life span], [http://en.wikipedia.org/wiki/Span_(architecture) Span (in architecture)], [http://en.wikipedia.org/wiki/Span_(length) Span (as a unit)] and [http://en.wikipedia.org/wiki/Wingspan Wingspan].
:
* Perhaps we should introduce a convention where "shear_stress" is taken to mean "magnitude_of_shear_stress" when there is no operation prefix.
:
* Stresses are more complex than vectors and are represented mathematically as tensors.
:
* There are two "kinds" of stress called "normal" and "shear" stress. While a normal stress is associated with a single vector, two vectors are required to describe a shear stress.
:
* Note that "shearing_stress" follows the '''Process_name + Quantity Pattern''', where the process name is "shearing". However, the "ing" ending is often dropped, as is often the case with process names;  see the top of the [[CSN_Process_Names | '''CSDMS Process Names''']] page. Many fluid dynamics textbooks use "shearing", e.g. Batchelor (1988), and "tangential stress" is a synonym.
:
* Shields (1935) introduced the concept of a "critical shear stress" that must be exceeded at the bed of a river channel in order to initiate sediment transport.  The associated quantity name is "shields_critical_shear_stress", with the name "shields" being placed before "critical" to allow other definitions of "critical_shear_stress" by future researchers.
:
* In oceanography there is a concept of '''radiation stress''' and for electromagnetic radiation there is [http://en.wikipedia.org/wiki/Radiation_pressure '''radiation pressure'''].  See Pressure. 
:
* There are 19 [http://cf-pcmdi.llnl.gov/documents/cf-standard-names/ CF Convention Standard Names] that contain the word "stress". Most contain only one "component adjective" like "eastward", but some have two, such as
 
surface_downward_eastward_stress
surface_downward_northward_stress
surface_downward_x_stress
surface_downward_y_stress


<br/>  
<br/>  
<!-- ============================================= -->
<!-- ============================================= -->
== {{ Bar Heading| text=Speed}} ==


== {{ Bar Heading| text=Temperature}} ==
&nbsp; base_quantity = "speed" <br/>
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; "escape_speed" <br/>
&nbsp; "relative_speed" <br/>
&nbsp; "settling_speed" <br/>
&nbsp; "terminal_speed"


&nbsp; base_quantity = "temperature" <br/>
&nbsp; ''Examples''
&nbsp; quantity = "convective_temperature" <br/>
glacier_bottom__sliding_speed
&nbsp; quantity = "effective_temperature" <br/>
land_surface_air_flow__speed
&nbsp; quantity = "equivalent_temperature" <br/>
&nbsp; quantity = "equivalent_potential_temperature" <br/>
&nbsp; quantity = "potential_temperature"


&nbsp; ''Examples''
* The quantity name "speed" is equivalent to "magnitude_of_velocity". Velocity components use the "component_of" operation prefix.  See the Component template.
iron__melting_point_temperature
snow__temperature
soil__temperature
water__boiling_point_temperature
water__freezing_point_temperature
water_vapor_in_air__bubble_point_temperature
water_vapor_in_air__dew_point_temperature
water_vapor_in_air__frost_point_temperature
 
* Use "dew_point_temperature" vs. "temperature_at_dew_point". Similarly for "boiling_point", "melting_point", "freezing_point", etc.
:
:
* Can include how measured with <assume> tags in a Model Metadata File.
* When applied to fluids, the word "flow" is added to the end of the object part of the name, as an abbreviation for "flow field".  It was formerly inserted before the word "speed".
:
:
* Note that "apparent_temperature" or "heat_index_temperature" (same as "felt_air_temperature") may be less ambiguous standard names than "heat_index", since it has units of temperature.
* "Velocity" is a vector quantity while "speed" is a scalar quantity.  The CSDMS Standard Names may allow vector quantities so that models can attempt to retrieve all velocity components in one data structure.
:
:
* See the Wikipedia pages for: [http://en.wikipedia.org/wiki/Critical_temperature Critical point], [http://en.wikipedia.org/wiki/Curie_point Curie point], [http://en.wikipedia.org/wiki/Dew_point_temperature Dew point], [http://en.wikipedia.org/wiki/Hydrocarbon_dew_point Hydrocarbon dew point], [http://en.wikipedia.org/wiki/Bubble_point Bubble point] and [http://en.wikipedia.org/wiki/Flash_point Flash point].
* The quantity '''relative_speed''' is the speed of one object relative to another (which may also be moving, in an arbitrary direction). In general, the "relative speed" can be computed as the magnitude of the [http://en.wikipedia.org/wiki/Euclidean_vector#Addition-and-subtraction '''vector difference'''] between the the velocity vectors of the two objects. Both objects must be named in the object part of the name as in: "aircraft_ground" + "relative_speed".
:
:
* See the Wikipedia pages for: [http://en.wikipedia.org/wiki/Temperature Temperature], [http://en.wikipedia.org/wiki/Equivalent_temperature Equivalent temperature], [http://en.wikipedia.org/wiki/Potential_temperature Potential temperature], [http://en.wikipedia.org/wiki/Equivalent_potential_temperature Equivalent potential temperature],  [http://en.wikipedia.org/wiki/Effective_temperature Effective temperature], [http://en.wikipedia.org/wiki/Color_temperature Color temperature], [http://en.wikipedia.org/wiki/Brightness_temperature Brightness temperature], [http://en.wikipedia.org/wiki/Atmospheric_temperature Atmospheric temperature], [http://en.wikipedia.org/wiki/Sea_surface_temperature Sea surface temperature], [http://en.wikipedia.org/wiki/Convective_temperature Convective temperature],  [http://en.wikipedia.org/wiki/Dry-bulb_temperature Dry-bulb temperature] and [http://en.wikipedia.org/wiki/Wet-bulb_temperature Wet-bulb temperature].
* See Velocity for "escape speed", "settling speed" and "terminal speed".


<br/>  
<br/>  
<!-- ============================================= -->
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== {{ Bar Heading| text=Term}} ==
== {{ Bar Heading| text=Step}} ==


&nbsp; base_quantity = "term" <br>
&nbsp; quantity_suffix = "step"
&nbsp; quantity = "acceleration_term" <br/>
&nbsp; quantity = "convection_term" <br/>
&nbsp; quantity = "diffusion_term" <br/>
&nbsp; quantity = "forcing_term" <br/>
&nbsp; quantity = "friction_loss_term" <br/>
&nbsp; quantity = "sink_term" <br/>
&nbsp; quantity = "source_term" <br>
&nbsp; quantity = "time_derivative_term"  (or use "unsteady_term" instead?)


&nbsp; ''Examples''
&nbsp; ''Examples''
  convection_diffusion_equation__convection_term"
  model__time_step
convection_diffusion_equation__diffusion_term"
navier_stokes_equation__body_force_term
navier_stokes_equation__convective_acceleration_term
navier_stokes_equation__pressure_gradient_term
navier_stokes_equation__unsteady_acceleration_term
navier_stokes_equation__viscosity_term    (or "viscous_diffusion_term" ?)
poisson_equation__laplacian_term
poisson_equation__source_term


* Many models allow various "terms" in an equation that the model solves numerically to be saved as output.
* This is another '''quantity suffix''' (defined at the top) that is usually used when the base quantity is "time".
:
:
* In the [http://en.wikipedia.org/wiki/Navier-Stokes Navier-Stokes equation], which is widely used for modeling fluid flow, each term has a standard name.  The names are: "unsteady_acceleration_term", "convective_acceleration_term" (or "nonlinear_term"), "pressure_gradient_term" (or "pressure_term"), "viscosity_term" (or "diffusion_term" or "vector_laplacian_term") and "body_force_term".
* While an increment can have either sign, a step is generally positive.
:
:
* The [http://en.wikipedia.org/wiki/Convection–diffusion_equation convection-diffusion equation] has a time derivative (or unsteady) term, a diffusion term, a convection term and source term.
* See Increment and Time Step.
:
 
* Many of the examples above follow the '''Process_name + Quantity Pattern'''.  See the top of the [[CSN_Quantity_Templates | '''CSDMS Quantity Templates''']] page and the list of [[CSN_Process_Names | '''CSDMS Process Names''']].
<br/>
:
<!-- ============================================= -->
* '''This template is still under review'''.  The appropriate object_name (possibly an equation_name from the [[CSN_Assumption_Names | '''CSDMS Assumption Names''']] page) and the associated units are not entirely clearHowever, this type of quantity is commonly included among a model's output variables.
 
== {{ Bar Heading| text=Strain}} ==
 
&nbsp; base_quantity = "strain"
 
* Strain is a normalized measure of deformation in continuum mechanics and is therefore dimensionless.   
:
:
* We may also want to include "right_hand_side" and "left_hand_side", but this is dependent on how the equation is written.
* Different fluids and substances have different "stress-strain" relationships.  For a [http://en.wikipedia.org/wiki/Newtonian_fluid Newtonian fluid], there is a linear relationship between the shear stress and the strain rate.
:
:
* See: [http://en.wikipedia.org/wiki/Field_equation Field equation], [http://en.wikipedia.org/wiki/Laplacian Laplacian], [http://en.wikipedia.org/wiki/Vector_Laplacian Vector Laplacian], [http://en.wikipedia.org/wiki/Poisson_equation Poisson's equation], [http://en.wikipedia.org/wiki/Pressure_gradient Pressure gradient] and [http://en.wikipedia.org/wiki/Shallow_water_equations Shallow water equations].
* See [http://en.wikipedia.org/wiki/Deformation_(mechanics) Deformation], [http://en.wikipedia.org/wiki/Shear_stress Shear stress], [http://en.wikipedia.org/wiki/Strain_rate Strain rate] and [http://en.wikipedia.org/wiki/Stress-strain_curve Stress-strain curve].


<br/>  
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<!-- ============================================= -->
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== {{ Bar Heading| text=Thickness}} ==
== {{ Bar Heading| text=Strength}} ==


&nbsp; base_quantity = "thickness"
&nbsp; base_quantity = "strength"


&nbsp; ''Examples''
&nbsp; ''Examples''
  burgess_shale_stratum__thickness    ("stratum" or "layer" ?)
  None yet.
human_hair__thickness
mars_atmosphere__thickness
model_soil_layer_0__thickness
paper__thickness


* This quantity name refers to the '''full''', top-to-bottom vertical length dimension of something that tends to cover an area that is large relative to this length.
* In physics, the "strength" of a vector field is simply its '''magnitude'''.  See: [http://en.wikipedia.org/wiki/Field_strength Field strength] and [http://en.wikipedia.org/wiki/Signal_strength Signal strength].  See Magnitude above.
:
:
* The words "depth" and "thickness" are sometimes used interchangeablyIn the context of "layers", "thickness" is usually used (e.g. in meteorology, geology and hydrogeology). In the context of surface water or snow, "depth" is usually used. (As in: "How deep is the lake?" or "The lake depth is 5 meters.")  The word "depth" indicates a value that is positive downward from some reference datum. There is often the connotation that it may take values less than some maximum possible value, as in "sea_water_secchi_disk_depth".  
* In materials science, the word "strength" often refers to a critical value of '''stress'''See: [http://en.wikipedia.org/wiki/Compressive_strength Compressive strength], [http://en.wikipedia.org/wiki/Shear_strength Shear strength], [http://en.wikipedia.org/wiki/Tensile_strength Tensile strength] and [http://en.wikipedia.org/wiki/Yield_strength Yield strength].
:
:
* See Altitude, Depth, Elevation and Height.
* See: [http://en.wikipedia.org/wiki/Physical_strength Physical strength].


<br/>  
<br/>  
<!-- ============================================= -->
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== {{ Bar Heading| text=Threshold}} ==
== {{ Bar Heading| text=Stress}} ==


&nbsp; operation_prefix = "threshold"
&nbsp; base_quantity = "stress" <br/>
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; "deviatoric_stress" <br/>
&nbsp; "normal_stress" <br/>
&nbsp; "shear_stress"    (vs. "shearing_stress"; see below)


&nbsp; ''Examples''
&nbsp; ''Examples''
  snow__threshold_of_degree-day-temperature ### ??
  channel_bottom_water_flow__magnitude_of_shear_stress
  channel_bottom_water_flow_sediment_grain__shields_critical_shear_stress
sea_bottom_surface_water_flow__normal_component_of_stress
sea_bottom_surface_water_flow__x_z_component_of_shear_stress
sea_water_flow__down_east_component_of_stress
sea_water_flow__down_east_component_of_reynolds_stress
sea_water_flow__down_east_component_of_viscous_stress
sea_water_flow__down_north_component_of_stress


* Before 3/19/13, this was treated as a "quantity suffix" but now it is treated as an "operation prefix".  In the example above, however, the word "threshold" is used as an adjective. Perhaps it should contain more information, something like "melting_point_temperature".
* Components of stress are specified using the "component_of" operation prefix, as shown in the examples above.  For models that use a geographic coordinate system, we would use "east", "north" and "up" to describe component directionsFor models that use a Cartesian (or equal-area) coordinate system, we would use "x", "y" and "z".  
:
* Standard adjectives for shear stress include: "skin_friction", "form_drag" and "total".
:
* Conventions like "right_hand_rule" and "positive_downward" can be indicated in a Model Metadata File with <assume> tags.
:
:
* It is more common for words like "critical" or "point" to be inserted as an adjective in front of a base quantity name to indicate a threshold value.  See the template for Temperature.
* Perhaps we should introduce a convention where "shear_stress" is taken to mean "magnitude_of_shear_stress" when there is no operation prefix.
 
<br/>
<!-- ============================================= -->
 
== {{ Bar Heading| text=Time}} ==
 
&nbsp; quantity_suffix = "time"
 
&nbsp; ''Examples''
channel_water__time_of_max_of_volume_outflow_rate
earth_surface_mars__local_rise_time
earth_surface_mars__local_set_time
earth_surface_sun__local_rise_time
earth_surface_sun__local_set_time
earth_surface_venus__local_rise_time
earth_surface_venus__local_set_time
mars_surface_venus__local_rise_time
mars_surface_venus__local_set_time
model__run_time
model__start_time
model__stop_time
model__time
 
denver_horizon_mars__rise_time
denver_viewing_mars__rise_time
mars_viewed_from_denver__rise_time
 
* The quantity "time" can refer to the specific time associated with an event, such as "mars__local_rise_time", or to a duration, as in "relaxation_time".
:
:
* We may allow "time" to be used as a "quantity suffix" associated with an event like reaching a peak value.  But this use case may also be handled using an operation prefix.
* Stresses are more complex than vectors and are represented mathematically as tensors.
:
:
* This is commonly used in the '''Process_name + Quantity Pattern''', as in "start_time" and "stop_time". Recall that the "ing" ending of many process names is dropped.  See [[CSN_Process_Names | '''CSDMS Process Names''']].
* There are two "kinds" of stress called "normal" and "shear" stress. While a normal stress is associated with a single vector, two vectors are required to describe a shear stress.
:
:
* In the mathematics of stochastic processes, the quantities: [http://en.wikipedia.org/wiki/Hitting_time Hitting time] and [http://en.wikipedia.org/wiki/Stopping_time Stopping time] are used.
* Note that "shearing_stress" follows the '''Process_name + Quantity Pattern''', where the process name is "shearing".  However, the "ing" ending is often dropped, as is often the case with process names;  see the top of the [[CSN_Process_Names | '''CSDMS Process Names''']] page. Many fluid dynamics textbooks use "shearing", e.g. Batchelor (1988), and "tangential stress" is a synonym.
:
:
* In hydrology, the terms "return time", "return period", "recurrence interval" and "flood frequency" are used to quantify the expected time between floods of a given size. See Period.
* [http://en.wikipedia.org/wiki/Reynolds_stress Reynolds stress] is a contribution to the total stress tensor in a fluid due to momentum fluctuations that arise within turbulent flows.  When "stress" appears by itself, it indicates the "total" stress tensor, which includes the so-called "viscous_stress" and the "Reynolds_stress" (or turbulent stress). (Is radiation stress also included in "total"?  See below.)
:
:
* In astronomy, a "rising_time" and "setting_time" can be defined for any celestial body and an observing location on EarthSee the US Navy's [http://www.usno.navy.mil/USNO/astronomical-applications/data-services/data-services astronomical data services] page.  Note that these quantities require specifying two objects.
* Shields (1935) introduced the concept of a "critical shear stress" that must be exceeded at the bed of a river channel in order to initiate sediment transport.  The associated quantity name is "shields_critical_shear_stress", with the name "shields" being placed before "critical" to allow other definitions of "critical_shear_stress" by future researchersWe could use the Process Name + Base Quantity Name Pattern to construct a self-describing quantity name like: "transport_initiation_stress", "initial-transport_stress" or "initial-motion_stress".
:
:
* See: [http://en.wikipedia.org/wiki/Residence_time Residence time], [http://en.wikipedia.org/wiki/Relaxation_time Relaxation time], [http://en.wikipedia.org/wiki/Transition_time Transition time], [http://en.wikipedia.org/wiki/Arrival_time Arrival time] (and ETA), [http://en.wikipedia.org/wiki/Fall_time Fall time], [http://en.wikipedia.org/wiki/Lead_time Lead time], [http://en.wikipedia.org/wiki/Rise_time Rise time] and [http://en.wikipedia.org/wiki/Holding_(aviation) Holding time].
* In oceanography there is a concept of '''radiation stress''' and for electromagnetic radiation there is [http://en.wikipedia.org/wiki/Radiation_pressure '''radiation pressure''']. See Pressure.
:
:
* See Duration and Period.
* There are 19 [http://cfconventions.org/Data/cf-standard-names/27/build/cf-standard-name-table.html CF Standard Names] that contain the word "stress".  Most contain only one "component adjective" like "eastward", but some have two, such as
 
surface_downward_eastward_stress
surface_downward_northward_stress
surface_downward_x_stress
surface_downward_y_stress


<br/>  
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== {{ Bar Heading| text=Time Step}} ==


&nbsp; quantity_suffix = "step" <br/>
== {{ Bar Heading| text=Temperature}} ==
&nbsp; base_quantity = "time" <br/>
 
&nbsp; quantity = "time_step" <br/>
&nbsp; base_quantity = "temperature" <br/>
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; "convective_temperature" <br/>
&nbsp; "effective_temperature" <br/>
&nbsp; "equivalent_temperature" <br/>
&nbsp; "equivalent_potential_temperature" <br/>
&nbsp; "potential_temperature"


&nbsp; ''Examples''
&nbsp; ''Examples''
  model__time_step
  atmosphere_air_water~vapor__bubble_point_temperature
atmosphere_air_water~vapor__dew_point_temperature
atmosphere_air_water~vapor__frost_point_temperature
iron__melting_point_temperature
snow__temperature
soil__temperature
water__boiling_point_temperature
water__freezing_point_temperature


* Note that "increment" and "step" are both '''quantity suffixes''' that do not change the units of the base quantity.  "Step" is usually used when the base quantity is "time".
* Use "dew_point_temperature" vs. "temperature_at_dew_point". Similarly for "boiling_point", "melting_point", "freezing_point", etc.
:
* Can include how measured with <assume> tags in a Model Metadata File.
:
* Note that "apparent_temperature" or "heat_index_temperature" (same as "felt_air_temperature") may be less ambiguous standard names than "heat_index", since it has units of temperature.
:
* Materials with impurities or in very small quantities may melt at a lower temperature than bulk amounts of pure material.  This is quantified with [http://en.wikipedia.org/wiki/Melting-point_depression Melting-point depressions]In the CSDMS Standard Names, these use the operation prefix "depression_of" + "melting_point_temperature".
:
* See the Wikipedia pages for: [http://en.wikipedia.org/wiki/Critical_temperature Critical point], [http://en.wikipedia.org/wiki/Curie_point Curie point], [http://en.wikipedia.org/wiki/Dew_point_temperature Dew point], [http://en.wikipedia.org/wiki/Hydrocarbon_dew_point Hydrocarbon dew point], [http://en.wikipedia.org/wiki/Bubble_point Bubble point] and [http://en.wikipedia.org/wiki/Flash_point Flash point].
:
:
* See Increment and Step.
* See the Wikipedia pages for: [http://en.wikipedia.org/wiki/Temperature Temperature], [http://en.wikipedia.org/wiki/Equivalent_temperature Equivalent temperature], [http://en.wikipedia.org/wiki/Potential_temperature Potential temperature], [http://en.wikipedia.org/wiki/Equivalent_potential_temperature Equivalent potential temperature],  [http://en.wikipedia.org/wiki/Effective_temperature Effective temperature], [http://en.wikipedia.org/wiki/Color_temperature Color temperature], [http://en.wikipedia.org/wiki/Brightness_temperature Brightness temperature], [http://en.wikipedia.org/wiki/Atmospheric_temperature Atmospheric temperature], [http://en.wikipedia.org/wiki/Sea_surface_temperature Sea surface temperature], [http://en.wikipedia.org/wiki/Convective_temperature Convective temperature],  [http://en.wikipedia.org/wiki/Dry-bulb_temperature Dry-bulb temperature] and [http://en.wikipedia.org/wiki/Wet-bulb_temperature Wet-bulb temperature].


<br/>  
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== {{ Bar Heading| text=Unit-width (and similar) Quantities}} ==
== {{ Bar Heading| text=Tension}} ==


&nbsp; quantity = "unit_width_" + base_quantity
&nbsp; base_quantity = "tension" <br/>
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; "surface_tension"  


&nbsp; ''Examples''
&nbsp; ''Examples''
human_blood_red-cell__unit_volume_count
land_surface_water__unit_width_discharge
sea_water_surface_wave_crestline__power-per-unit-length


* CF Standard Names use "_across_unit_distance" and "_across_line" to handle this concept.
* Tension is the opposite of compression.  It is often used in connection with columns, ropes and strings.
:
:
* "unit_stream_power" is somewhat similar.
* Tension is not a force, but has units of force (e.g. Newtons).
:
:
* There are several other "per" concepts, such as:
* See: [http://en.wikipedia.org/wiki/Surface_tension Surface tension], [http://en.wikipedia.org/wiki/Tension_(physics) Tension (physics)] and [http://en.wikipedia.org/wiki/Ultimate_tensile_strength Ultimate tensile strength].
 
<br/>
<!-- ============================================= -->


per_capita
== {{ Bar Heading| text=Term}} ==
per_unit_area
per_unit_length
per_unit_mass
per_unit_time
per_unit_width
 
:These could all be used as adjective or modifier prefixes for a base quantity.


<br/>  
&nbsp; base_quantity = "term" <br>
<!-- ============================================= -->
&nbsp; ''Examples of Specific Quantities:'' <br/>
 
&nbsp; "acceleration_term" <br/>
== {{ Bar Heading| text=Velocity}} ==
&nbsp; "convection_term" <br/>
 
&nbsp; "diffusion_term" <br/>
&nbsp; base_quantity = "speed" <br/>
&nbsp; "forcing_term" <br/>
&nbsp; quantity = "component_of_velocity" <br/>
&nbsp; "friction_loss_term" <br/>
&nbsp; quantity = "escape_speed" <br/>
&nbsp; "sink_term" <br/>
&nbsp; quantity = "flow_speed" <br/>
&nbsp; "source_term" <br>
&nbsp; quantity = "magnitude_of_velocity" <br/>
&nbsp; "time_derivative_term"  (or use "unsteady_term" instead?)
&nbsp; quantity = "settling_speed" <br/>
&nbsp; quantity = "terminal_speed" <br/>


&nbsp; ''Examples''
&nbsp; ''Examples''
  ball_in_air__terminal_speed  ### (air_ball__terminal_speed sounds strange)    #### (terminal_falling_speed ??)
  equation~convection-diffusion__convection_term"
  earth__escape_speed    (vs. escape_velocity)
equation~convection-diffusion__diffusion_term"
  water_sand_grain__settling_speed  # (sand grain in water)
equation~navier-stokes__body_force_term
  sea_water__eastward_component_of_flow_velocity
  equation~navier-stokes__convective_acceleration_term
  sea_water__flow_speed
  equation~navier-stokes__pressure_gradient_term
  soil_water__x_component_of_darcy_velocity
  equation~navier-stokes__unsteady_acceleration_term
  soil_water__y_component_of_darcy_velocity
  equation~navier-stokes__viscosity_term    (or "viscous_diffusion_term" ?)
  equation~poisson__laplacian_term
  equation~poisson__source_term


* Velocity is a vector quantity with a magnitude and a direction.  Most models store the components of a velocity field as separate variables, in which case the operation '''component_of''' can be used as shown in the example above.  (See the template for Component.)  However, it is also possible that one model would request a complete vector field (i.e. all components) from another model as a single "quantity".  In this case we would need to allow "velocity" itself (a vector) as a base quantity name.
* Many models allow various "terms" in an equation that the model solves numerically to be saved as output.
:
:
* In addition to the "component_of" operation, there are several other operations that can be used to identify an attribute of a vector, such as: "magnitude_of", "local_azimuth_angle_of" and "local_zenith_angle_of".  For 2D vector fields, only the azimuth angle applies, but for 3D vector fields the zenith angle (from spherical coordinates) is also required.  See the [[CSN_Operation_Templates | '''CSDMS Operation Templates]].
* In the [http://en.wikipedia.org/wiki/Navier-Stokes Navier-Stokes equation], which is widely used for modeling fluid flow, each term has a standard name.  The names are: "unsteady_acceleration_term", "convective_acceleration_term" (or "nonlinear_term"), "pressure_gradient_term" (or "pressure_term"), "viscosity_term" (or "diffusion_term" or "vector_laplacian_term") and "body_force_term".
:
:
* The quantity name "darcy_velocity" is used for 3D flow of water in soil to emphasize its macroscopic definition as a volume flux or "specific discharge".  See the template for Attributes of Soil.
* The [http://en.wikipedia.org/wiki/Convection–diffusion_equation convection-diffusion equation] has a time derivative (or unsteady) term, a diffusion term, a convection term and source term.
:
:
* The shorter quantity name "speed" is used in CSDMS standard names instead of "magnitude_of_velocity" but they mean the same thing.  See Speed.
* Many of the examples above follow the '''Process_name + Quantity Pattern'''.  See the top of the [[CSN_Quantity_Templates | '''CSDMS Quantity Templates''']] page and the list of [[CSN_Process_Names | '''CSDMS Process Names''']].
:
:
* The terms [http://en.wikipedia.org/wiki/Shear_velocity shear velocity], [http://en.wikipedia.org/wiki/Terminal_velocity terminal velocity] and [http://en.wikipedia.org/wiki/Escape_velocity escape velocity] are all used but they each refer to a speed, or velocity magnitudeThe "escape_speed" for Earth is a scalar quantity, independent of direction.
* '''This template is still under review'''.  The appropriate object_name (possibly an equation_name from the [[CSN_Assumption_Names | '''CSDMS Assumption Names''']] page) and the associated units are not entirely clearHowever, this type of quantity is commonly included among a model's output variables.
:
:
* Note that [http://en.wikipedia.org/wiki/Terminal_velocity terminal velocity]  (called "terminal_speed" here) is a quantity that requires two objects to be specified, an object and the fluid through which it is falling.  The '''Object-in-object Pattern''' is therefore used.  In the context of a particle falling through water, the term "settling velocity" (called settling_speed here) is commonly used.
* We may also want to include "right_hand_side" and "left_hand_side", but this is dependent on how the equation is written.
:
:
* See Speed.
* See: [http://en.wikipedia.org/wiki/Field_equation Field equation], [http://en.wikipedia.org/wiki/Laplacian Laplacian], [http://en.wikipedia.org/wiki/Vector_Laplacian Vector Laplacian], [http://en.wikipedia.org/wiki/equation~poisson Poisson's equation], [http://en.wikipedia.org/wiki/Pressure_gradient Pressure gradient] and [http://en.wikipedia.org/wiki/Shallow_water_equations Shallow water equations].


<br/>  
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== {{ Bar Heading| text=Thickness}} ==


== {{ Bar Heading| text=Viscosity}} ==
&nbsp; base_quantity = "thickness"


&nbsp; base_quantity = "viscosity" <br/>
&nbsp; ''Examples''
&nbsp; quantity = "dynamic_shear_viscosity" <br/>
shale~burgess_stratum__thickness    ("stratum" or "layer" ?)
&nbsp; quantity = "dynamic_volume_viscosity" <br/>
human_hair__thickness
&nbsp; quantity = "eddy_viscosity" <br/>
mars_atmosphere__thickness
&nbsp; quantity = "extensional_viscosity" <br/>
  model_soil_layer~0__thickness
&nbsp; quantity = "kinematic_shear_viscosity" <br/>
  paper__thickness
&nbsp; quantity = "kinematic_volume_viscosity" <br/>


&nbsp; ''Examples''
* This quantity name refers to the '''full''', top-to-bottom vertical length dimension of something that tends to cover an area that is large relative to this length.
air__dynamic_shear_viscosity
air__dynamic_volume_viscosity
air__kinematic_shear_viscosity
air__kinematic_volume_viscosity
polymer__extensional_viscosity
sea_water__eddy_viscosity
water__dynamic_shear_viscosity
water__dynamic_volume_viscosity
water__kinematic_shear_viscosity
water__kinematic_volume_viscosity
 
* Viscosity is a tensor quantity and is decomposed into "shear" and "volume" components that are analogous to the "shear" and "normal" components used for stress, another tensor quantity.  "bulk viscosity" is a synonym for [http://en.wikipedia.org/wiki/Volume_viscosity volume viscosity] which is important for compressible fluids but is less well-known than shear viscosity.
:
:
* Viscosity depends on temperature, so a reference temperature should be provided with an <assume> tag in a Model Metadata FileFor an ideal gas, Sutherland's formula gives dynamic viscosity as a power-law function of temperature. For a dilute gas, the [http://en.wikipedia.org/wiki/Chapman-Enskog_theory Chapman-Enskog] equation can be used. For liquids, several different models are available; see: [http://en.wikipedia.org/wiki/Temperature_dependence_of_liquid_viscosity Temperature dependence of liquid viscosity].
* The words "depth" and "thickness" are sometimes used interchangeablyIn the context of "layers", "thickness" is usually used (e.g. in meteorology, geology and hydrogeology). In the context of surface water or snow, "depth" is usually used. (As in: "How deep is the lake?" or "The lake depth is 5 meters.")  The word "depth" indicates a value that is positive downward from some reference datum. There is often the connotation that it may take values less than some maximum possible value, as in "sea_water_secchi_disk_depth".  
:
:
* Kinematic viscosity is just the dynamic viscosity divided by the density of the fluid.  It is used in the definition of the [http://en.wikipedia.org/wiki/Reynolds_number Reynolds number].
* See Altitude, Depth, Elevation and Height.
:
* "The "eddy viscosity" concept is used to parameterize small-scale details in models of turbulent flow.  It is sometimes contrasted with "molecular viscosity".  Also see the Diffusivity template.
:
* The reciprical of viscosity is called ''fluidity''.
:
* See: [http://en.wikipedia.org/wiki/Viscosity Viscosity], [http://en.wikipedia.org/wiki/Inviscid_flow Inviscid flow], [http://en.wikipedia.org/wiki/Large_eddy_simulation Large eddy simulation (LES)], [http://en.wikipedia.org/wiki/Newtonian_fluid Newtonian fluid] and [http://en.wikipedia.org/wiki/Non-Newtonian_fluid Non-Newtonian fluid].


<br/>  
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== {{ Bar Heading| text=Voltage}} ==
== {{ Bar Heading| text=Threshold}} ==


&nbsp; base_quantity = "voltage"     [Volts = Joules per Coulomb]
&nbsp; operation_prefix = "threshold"


&nbsp; ''Examples''
&nbsp; ''Examples''
battery__voltage
electric-appliance__voltage
electric-fence__voltage


* See: [http://en.wikipedia.org/wiki/Voltage Voltage] and [http://en.wikipedia.org/wiki/Voltage_drop Voltage drop].
* Before 3/19/13, this was treated as a "quantity suffix" but now it is treated as an "operation prefix". In the example above, however, the word "threshold" is used as an adjective. Perhaps it should contain more information, something like "melting_point_temperature".
:
* It is more common for words like "critical" or "point" to be inserted as an adjective in front of a base quantity name to indicate a threshold value. See the template for Temperature.
:
* There is a standard name called: "snow + degree-day_threshold_temperature", but since there is no "degree-day_temperature", the name "snow + threshold_of_degree-day_temperature" doesn't make sense.


<br/>  
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<!-- ============================================= -->
== {{ Bar Heading| text=Vorticity}} ==


&nbsp; base_quantity = "vorticity" <br/>
== {{ Bar Heading| text=Time}} ==
&nbsp; quantity = "absolute_vorticity" <br/>
 
&nbsp; quantity = "potential_vorticity" <br/>
&nbsp; quantity_suffix = "time"
&nbsp; quantity = "relative_vorticity"  


&nbsp; ''Examples''
&nbsp; ''Examples''
  sea_water__downward_component_of_vorticity    ## (use "flow_vorticity" instead ??)
  channel_water__peak_time_of_volume_flow_rate
  sea_water__eastward_component_of_vorticity
  model__run_time
  sea_water__magnitude_of_vorticity
  model__start_time
  sea_water__northward_component_of_vorticity
  model__stop_time
  sea_water__southward_component_of_vorticity
  model__time
sea_water__upward_component_of_vorticity
sea_water__westward_component_of_vorticity
sea_water__x_component_of_vorticity
sea_water__y_component_of_vorticity
sea_water__z_component_of_vorticity


* Vorticity is a vector quantity defined as the curl of a fluid velocity (vector) field.   The quantity name for a component of the vorticity vector uses the "component_of" operation prefix as shown in the examples above.  See the Component template.
* The quantity "time" can refer to the specific time associated with an event, such as "mars__local_rise_time", or to a duration, as in "relaxation_time".
:
* We may allow "time" to be used as a "quantity suffix" associated with an event like reaching a peak value.  But this use case may also be handled using an operation prefix.
:
* This is commonly used in the '''Process_name + Quantity Pattern''', as in "start_time" and "stop_time".  Recall that the "ing" ending of many process names is dropped.  See [[CSN_Process_Names | '''CSDMS Process Names''']].
:
:
* '''''Relative vorticity''''' is the vorticity of air velocity relative to the Earth. When "vorticity" appears without an adjective, relative vorticity with respect to a fixed coordinate system is assumed.
* In the mathematics of stochastic processes, the quantities: [http://en.wikipedia.org/wiki/Hitting_time Hitting time] and [http://en.wikipedia.org/wiki/Stopping_time Stopping time] are used.
:
:
* '''''Absolute vorticity''''' is relative vorticity plus a term due to the Earth's rotation.
* In hydrology, the terms "return time", "return period", "recurrence interval" and "flood frequency" are used to quantify the expected time between floods of a given size. See Period.
:
:
* '''''Potential vorticity''''' is absolute vorticity divided by the vertical spacing between levels of constant entropy.
* In astronomy, a "rise_time" and "set_time" can be defined for any celestial body and an observing location on Earth.  See the US Navy's [http://www.usno.navy.mil/USNO/astronomical-applications/data-services/data-services astronomical data services] page.  Note that these quantities require specifying two objects.
:
:
* Since the curl of any gradient vector is zero, taking the curl of the [http://en.wikipedia.org/wiki/Navier-Stokes_equations Navier-Stokes equation] eliminates the pressure gradient term.
* See: [http://en.wikipedia.org/wiki/Residence_time Residence time], [http://en.wikipedia.org/wiki/Relaxation_time Relaxation time], [http://en.wikipedia.org/wiki/Transition_time Transition time], [http://en.wikipedia.org/wiki/Arrival_time Arrival time] (and ETA), [http://en.wikipedia.org/wiki/Fall_time Fall time], [http://en.wikipedia.org/wiki/Lead_time Lead time], [http://en.wikipedia.org/wiki/Rise_time Rise time] and [http://en.wikipedia.org/wiki/Holding_(aviation) Holding time].
:
:
* See [http://en.wikipedia.org/wiki/Vorticity Vorticity], [http://en.wikipedia.org/wiki/Circulation_(fluid_dynamics) Circulation] and [http://en.wikipedia.org/wiki/Vector_calculus_identities Vector calculus identities].
* See Duration and Period.


<br/>  
<br/>  
<!-- ============================================= -->
<!-- ============================================= -->
 
 
== {{ Bar Heading| text=Wavelength}} ==
== {{ Bar Heading| text=Time Step}} ==
 
 
&nbsp; base_quantity = "wavelength" <br/>
&nbsp; quantity_suffix = "step" <br/>
&nbsp; quantity = "compton_wavelength" <br/>
&nbsp; base_quantity = "time" <br/>
&nbsp; quantity = "reduced_compton_wavelength"  
&nbsp; "time_step" <br/>
 
 
&nbsp; ''Examples''
&nbsp; ''Examples''
  airy-wave__wavelength
model__time_step
  cnoidal-wave__wavelength
 
  electron__compton_wavelength
* Note that "increment" and "step" are both '''quantity suffixes''' that do not change the units of the base quantity.  "Step" is usually used when the base quantity is "time".
  sea_water_internal-wave__wavelength (### or sea_internal_water_wave ??)
:
  sea_water_surface-wave__wavelength      (### or sea_surface_water_wave ??)
* See Increment and Step.
  sine-wave__wavelength
 
  stokes-wave__wavelength
<br/>
 
<!-- ============================================= -->
* The wavelength is the distance between successive crests or troughs in a periodic function.
 
:
== {{ Bar Heading| text=Transmittance}} ==
* See the section called Attributes of Radiation above.
 
:
&nbsp; base_quantity = "transmittance" <br/>
* See: [http://en.wikipedia.org/wiki/Amplitude Amplitude], [http://en.wikipedia.org/wiki/Angular_frequency Angular frequency], [http://en.wikipedia.org/wiki/Compton_wavelength Compton wavelength], [http://en.wikipedia.org/wiki/De_Broglie_wavelength de Broglie wavelength], [http://en.wikipedia.org/wiki/Frequency Frequency] (and Period), [http://en.wikipedia.org/wiki/Hertz Hertz], [http://en.wikipedia.org/wiki/Thermal_de_Broglie_wavelength Thermal de Broglie wavelength], [http://en.wikipedia.org/wiki/Wavelength Wavelength], [http://en.wikipedia.org/wiki/Wavenumber Wavenumber] and [http://en.wikipedia.org/wiki/Wave_vector Wave vector].
&nbsp; ''Examples of Specific Quantities:'' <br/>
 
&nbsp; "spectral_transmittance"
<br/>  
 
<!-- ============================================= -->
&nbsp; ''Examples''
 
atmosphere_air_radiation~incoming~longwave__transmittance
== {{ Bar Heading| text=Weight}} ==
 
 
* Transmittance is the ratio of the power per unit area [W m-2] of electromagnetic radiation '''''transmitted''''' through something to the original, '''''incident''''' power per unit area (or irradiance).  It is a dimensionless number between 0 and 1.
&nbsp; base_quantity = "weight" <br/>
:
&nbsp; quantity = "specific_weight"
* Absorptance + Reflectance + Transmittance = 1.  See Absorptance and Reflectance above.
:
* Various authors recommend using the terms: Absorptivity, Emissivity, Reflectivity and Transmissivity as properties of a pure material and Absorptance, Emittance, Reflectance and Transmittance as the analogous terms for the characteristics of a specimen or sample.  See: Palmer, J.M. (1994) Chapter 25: The measurement of transmission, absorption, emission and reflection, Handbook of Optics, 2nd ed., Part II, M. Bass, editor, McGraw-Hill, NY.  (A PDF file is available [http://photonics.intec.ugent.be/education/ivpv/res_handbook/v2ch25.pdf '''here'''].)
:
* While "transmissivity" can mean the transmittance of a pure material (see above), it is also used for a concept in ground water hydrology.
:
* The quantity "spectral transmittance" is the transmittance associated with a specific wavelength.
:
* See: [http://en.wikipedia.org/wiki/Absorbance Absorbance], [http://en.wikipedia.org/wiki/Attenuation_coefficient Attenuation coefficient], [http://en.wikipedia.org/wiki/Beer–Lambert_law Beer-Lambert law], [http://en.wikipedia.org/wiki/Mass_attenuation_coefficient Mass attenuation coefficient], [http://en.wikipedia.org/wiki/Opacity_(optics) Opacity (optics)], [http://en.wikipedia.org/wiki/Reflectivity Reflectance] and [http://en.wikipedia.org/wiki/Transmittance Transmittance].
 
 
<br/>
<!-- ============================================= -->
 
== {{ Bar Heading| text=Unit-width (and similar) Quantities}} ==
 
&nbsp; base_quantity
 
&nbsp; ''Examples''
  human_blood_cell~red__count-per-volume
  sea_surface_water_wave_crestline__power-per-length
 
* CF Standard Names use "_across_unit_distance" and "_across_line" to handle this concept.
:
* "unit_stream_power" is somewhat similar.
:
* There are several other "per" concepts, such as:
:
* The "z_integral_of_velocity" in the CSDMS Standard Names is the same as "unit-width discharge".
:
  per_capita
per_unit_area
per_unit_length
per_unit_mass
per_unit_time
  per_unit_width
 
* These could possibly be used as adjective or modifier prefixes for a base quantity.
 
<br/>
<!-- ============================================= -->
 
== {{ Bar Heading| text=Velocity}} ==
 
&nbsp; base_quantity = "speed" <br/>
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; "darcy_speed" <br/>
&nbsp; "drift_speed" <br/>
&nbsp; "escape_speed" <br/>
&nbsp; "fall_speed" <br/>
&nbsp; "flow_speed" <br/>
&nbsp; "group_speed" <br/>
&nbsp; "impact_speed" <br/>
&nbsp; "initial_speed" <br/>
&nbsp; "phase_speed"  (also called "celerity") <br/>
&nbsp; "settling_speed" <br/>
&nbsp; "terminal_fall_speed" <br/>
:
&nbsp; base_quantity = "velocity" <br/>
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; "darcy_velocity" <br/>
&nbsp; "drift_velocity" <br/>
&nbsp; "group_velocity" <br/>
&nbsp; "impact_velocity" <br/>
&nbsp; "initial_velocity" <br/>
&nbsp; "phase_velocity" (vector field of wave rays)  <br/>
&nbsp; "shear_velocity"  (also called "friction velocity") <br/>
:
&nbsp; "azimuth_angle_of_velocity" <br/>
&nbsp; "elevation_angle_of_velocity" <br/>
&nbsp; "x_component_of_velocity" <br/>
&nbsp; "y_component_of_velocity" <br/>
&nbsp; "z_component_of_velocity"
 
&nbsp; ''Examples''
atmosphere_ball__fall_speed
  atmosphere_ball__terminal_fall_speed    ### (air_ball__** sounds strange)
earth__escape_speed    (vs. escape_velocity)
electron__drift_speed
water_sand_grain__settling_speed    # (sand grain in water)
 
electron__x_component_of_drift_velocity
electron__y_component_of_drift_velocity
 
sea_water_flow__east_component_of_velocity
sea_water_flow__north_component_of_velocity
sea_water_flow__up_component_of_velocity
sea_water_flow__speed
sea_water_flow__x_component_of_velocity
sea_water_flow__y_component_of_velocity
 
sea_water_wave~internal~gravity__group_speed
sea_water_wave~internal~gravity__phase_speed
sea_surface_water_wave__group_speed    ## wave~gravity ??
sea_surface_water_wave__phase_speed
 
soil_water_flow__x_component_of_darcy_velocity
soil_water_flow__y_component_of_darcy_velocity
 
sea_surface_air_flow__magnitude_of_shear_velocity
sea_surface_air_flow__x_component_of_shear_velocity
sea_surface_air_flow__y_component_of_shear_velocity
 
* Velocity is a vector quantity with a magnitude and a direction.  Most models store the components of a velocity field as separate variables, in which case the operation '''component_of''' can be used as shown in the example above.  (See the template for Component.)  However, it is also possible that one model would request a complete vector field (i.e. all components) from another model as a single "quantity".  Because of this, we need to allow "velocity" itself (a vector) as a base quantity name.
:
* In addition to the "component_of" operation, there are several other operations that can be used to identify an attribute of a vector, such as: "magnitude_of", "azimuth_angle_of" and "elevation_angle_of".  For 2D vector fields, only the azimuth angle applies, but for 3D vector fields the elevation angle (from spherical coordinates) is also required.  See the [[CSN_Operation_Templates | '''CSDMS Operation Templates]].
:
* The quantity name '''darcy_velocity''' is used for 3D flow of water in soil to emphasize its macroscopic definition as a volume flux or "specific discharge".  See the template for Attributes of Soil.
:
* The magnitude of the '''shear_velocity''' is defined as the square root of the shear stress (at a boundary) divided by the mass density.  It is also called the "friction velocity".  Shear velocity is a vector quantity, and its direction is the same as the shear stress component used to define it.
:
* The shorter quantity name "speed" is used in CSDMS standard names instead of "magnitude_of_velocity" but they mean the same thing.  See Speed.
:
* The terms [http://en.wikipedia.org/wiki/Shear_velocity shear velocity], [http://en.wikipedia.org/wiki/Terminal_velocity terminal velocity] and [http://en.wikipedia.org/wiki/Escape_velocity escape velocity] are all used but they each refer to a speed, or velocity magnitude.  The "escape_speed" for Earth is a scalar quantity, independent of direction.
:
* Note that [http://en.wikipedia.org/wiki/Terminal_velocity terminal velocity]  (called "terminal_fall_speed" here) is a quantity that requires two objects to be specified, an object and the fluid through which it is falling.  The '''Object-in-object Pattern''' is therefore used.  In the context of a particle falling through water, the term "settling velocity" (called settling_speed here) is commonly used.
:
* See: [http://en.wikipedia.org/wiki/Angular_velocity Angular velocity], [http://en.wikipedia.org/wiki/Drift_velocity Drift velocity], [http://en.wikipedia.org/wiki/Flow_velocity Flow velocity], [http://en.wikipedia.org/wiki/Group_velocity Group velocity], [http://en.wikipedia.org/wiki/Phase_velocity Phase velocity], [http://en.wikipedia.org/wiki/Proper_velocity Proper velocity], [http://en.wikipedia.org/wiki/Relative_velocity Relative velocity], [http://en.wikipedia.org/wiki/Soil_mechanics Soil mechanics] (Darcy velocity) [http://en.wikipedia.org/wiki/Stokes_drift Stokes drift] and [http://en.wikipedia.org/wiki/Velocity Velocity].
:
* See the template for Speed.
 
<br/>
<!-- ============================================= -->
 
== {{ Bar Heading| text=Viscosity}} ==
 
&nbsp; base_quantity = "viscosity" <br/>
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; "apparent_viscosity" <br/>
&nbsp; "dynamic_shear_viscosity" <br/>
&nbsp; "dynamic_volume_viscosity" <br/>
&nbsp; "eddy_viscosity" <br/>
&nbsp; "extensional_viscosity" <br/>
&nbsp; "kinematic_shear_viscosity"  <br/>
&nbsp; "kinematic_volume_viscosity"  <br/>
 
&nbsp; ''Examples''
air__dynamic_shear_viscosity
air__dynamic_volume_viscosity
air__kinematic_shear_viscosity
air__kinematic_volume_viscosity
polymer__extensional_viscosity
sea_water__eddy_viscosity
water__dynamic_shear_viscosity
water__dynamic_volume_viscosity
water__kinematic_shear_viscosity
water__kinematic_volume_viscosity
water__x_z_component_of_viscosity
 
* Viscosity is a tensor quantity and is decomposed into "shear" and "volume" components that are analogous to the "shear" and "normal" components used for stress, another tensor quantity.  "bulk viscosity" is a synonym for [http://en.wikipedia.org/wiki/Volume_viscosity volume viscosity] which is important for compressible fluids but is less well-known than shear viscosity.
:
* Since viscosity is really a tensor, we can refer to each of its possible components using the "component_of" operation; e.g. "x_z_component_of_viscosity".
:
* Viscosity depends on temperature, so a reference temperature should be provided with an <assume> tag in a Model Metadata File.  For an ideal gas, Sutherland's formula gives dynamic viscosity as a power-law function of temperature. For a dilute gas, the [http://en.wikipedia.org/wiki/Chapman-Enskog_theory Chapman-Enskog] equation can be used. For liquids, several different models are available; see: [http://en.wikipedia.org/wiki/Temperature_dependence_of_liquid_viscosity Temperature dependence of liquid viscosity].
:
* Kinematic viscosity is just the dynamic viscosity divided by the density of the fluid.  It is used in the definition of the [http://en.wikipedia.org/wiki/Reynolds_number Reynolds number].
:
* "The "eddy viscosity" concept is used to parameterize small-scale details in models of turbulent flow.  It is sometimes contrasted with "molecular viscosity".  Also see the Diffusivity template.
:
* The reciprocal of viscosity is called ''fluidity''.
:
* See: [http://en.wikipedia.org/wiki/Apparent_viscosity Apparent viscosity], [http://en.wikipedia.org/wiki/Viscosity Viscosity], [http://en.wikipedia.org/wiki/Inviscid_flow Inviscid flow], [http://en.wikipedia.org/wiki/Large_eddy_simulation Large eddy simulation (LES)], [http://en.wikipedia.org/wiki/Newtonian_fluid Newtonian fluid], [http://en.wikipedia.org/wiki/Non-Newtonian_fluid Non-Newtonian fluid] and [http://en.wikipedia.org/wiki/Volume_viscosity Volume viscosity].
 
<br/>
<!-- ============================================= -->
 
== {{ Bar Heading| text=Voltage}} ==
 
&nbsp; base_quantity = "voltage"    [Volts = Joules per Coulomb]
 
&nbsp; ''Examples''
battery__voltage
appliance~electric__voltage
fence~electric__voltage
 
* See: [http://en.wikipedia.org/wiki/Voltage Voltage] and [http://en.wikipedia.org/wiki/Voltage_drop Voltage drop].
 
<br/>
<!-- ============================================= -->
== {{ Bar Heading| text=Vorticity}} ==
 
&nbsp; base_quantity = "vorticity" <br/>
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; "absolute_vorticity" <br/>
&nbsp; "ertel_potential_vorticity"  ### (a scalar quantity) <br/>
&nbsp; "planetary_vorticity" <br/>
&nbsp; "potential_vorticity" <br/>
&nbsp; "relative_vorticity"
 
&nbsp; ''Examples''
sea_water_flow__down_component_of_vorticity
sea_water_flow__east_component_of_vorticity
sea_water_flow__magnitude_of_vorticity
sea_water_flow__north_component_of_vorticity
  sea_water_flow__south_component_of_vorticity
sea_water_flow__up_component_of_vorticity
sea_water_flow__west_component_of_vorticity
sea_water_flow__x_component_of_vorticity
sea_water_flow__y_component_of_vorticity
sea_water_flow__z_component_of_vorticity
 
* Vorticity is a vector quantity defined as the curl of a fluid velocity (vector) field.  The quantity name for a component of the vorticity vector uses the "component_of" operation prefix as shown in the examples above.  See the Component template.
:
* '''''Relative vorticity''''' is the vorticity of air velocity relative to the Earth.  When "vorticity" appears without an adjective, relative vorticity with respect to a fixed coordinate system is assumed. See: [http://en.wikipedia.org/wiki/Vorticity#Atmospheric_sciences Relative vorticity].
:
* '''''Absolute vorticity''''' is "relative vorticity" plus "planetary vorticity". See: [http://en.wikipedia.org/wiki/Vorticity#Atmospheric_sciences Absolute vorticity].
:
* '''''Planetary vorticity''''' is the vorticity associated with the rotation of the Earth.
:
* '''''Potential vorticity''''' is absolute vorticity divided by the vertical spacing between levels of constant entropy. It seems that there are two types of potential vorticity.  Ertel's potential vorticity (ertel_potential_vorticity) is a scalar quantity, defined as a dot product of absolute vorticity and the gradient of potential temperature. See: [http://en.wikipedia.org/wiki/Potential_vorticity Potential vorticity].
:
* Here, "flow" is used as a shorthand for "flow_field" in the object part of the name.  This is an example of the Object Name + Model Name Pattern.
:
* Since the curl of any gradient vector is zero, taking the curl of the [http://en.wikipedia.org/wiki/Navier-Stokes_equations Navier-Stokes equation] eliminates the pressure gradient term.
:
* See [http://en.wikipedia.org/wiki/Vorticity Vorticity], [http://en.wikipedia.org/wiki/Circulation_(fluid_dynamics) Circulation] and [http://en.wikipedia.org/wiki/Vector_calculus_identities Vector calculus identities].
 
<br/>
<!-- ============================================= -->
 
== {{ Bar Heading| text=Wavelength}} ==
 
&nbsp; base_quantity = "wavelength" <br/>
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; "compton_wavelength" <br/>
&nbsp; "reduced_compton_wavelength"
 
&nbsp; ''Examples''
electron__compton_wavelength
sea_water_wave~internal~gravity__wavelength  (### or sea_internal_water_wave ??)
  sea_surface_water_wave__wavelength
wave~airy__wavelength
wave~cnoidal__wavelength
wave~sine__wavelength
  wave~stokes__wavelength
 
* The wavelength is the distance between successive crests or troughs in a periodic function.
:
* See the section called Attributes of Radiation above.
:
* See: [http://en.wikipedia.org/wiki/Amplitude Amplitude], [http://en.wikipedia.org/wiki/Angular_frequency Angular frequency], [http://en.wikipedia.org/wiki/Compton_wavelength Compton wavelength], [http://en.wikipedia.org/wiki/De_Broglie_wavelength de Broglie wavelength], [http://en.wikipedia.org/wiki/Frequency Frequency] (and Period), [http://en.wikipedia.org/wiki/Hertz Hertz], [http://en.wikipedia.org/wiki/Thermal_de_Broglie_wavelength Thermal de Broglie wavelength], [http://en.wikipedia.org/wiki/Wavelength Wavelength], [http://en.wikipedia.org/wiki/Wavenumber Wavenumber] and [http://en.wikipedia.org/wiki/Wave_vector Wave vector].
 
<br/>
<!-- ============================================= -->
== {{ Bar Heading| text=Wavenumber}} ==
 
&nbsp; base_quantity = "wavenumber"
 
&nbsp; ''Examples''
sea_surface_water_wave__wavenumber
wave~airy__wavenumber
wave~cnoidal__wavenumber
wave~electromagnetic__wavenumber
wave~seismic__wavenumber
wave~stokes__wavenumber
 
* "Wavenumber" is a basic property of a periodic function or waveform, along with amplitude and wavelength.  It can be understood as a '''spatial frequency''', in contrast to just ''frequency'', which refers to a '''temporal frequency'''.  Both wavenumber and frequency can be preceded with the word "angular" to define a different, but related quantity.  See ''Frequency'' above.
:
* The phase speed of a wave is equal to ratio of the wavelength and period.  It is also equal to the ratio of the angular frequency and angular wavenumber.
:
* A [http://en.wikipedia.org/wiki/Dispersion_relation ''dispersion relation''] is a relationship between the wavenumber and frequency that is determined by the specific physics of a wave propagation problem.
:
* See [http://en.wikipedia.org/wiki/Dispersion_relation Dispersion relation], [http://en.wikipedia.org/wiki/Wavenumber Wavenumber] and [http://en.wikipedia.org/wiki/Wave_vector Wave vector].
 
<br/>  
<!-- ============================================= -->
 
== {{ Bar Heading| text=Weight}} ==
 
&nbsp; base_quantity = "weight" <br/>
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; "volume-specific_weight"
 
&nbsp; ''Examples''
bear~alaskan~black__weight
 
* The weight of an object has units of force and is the product of its mass and the standard gravity constant for the planet on which the weight is being measured.  (It actually even depends on distance above the planet's surface.) Because of this, perhaps we should use quantity names like "earth-weight" (or even "earth-surface-weight") and "mars-weight", etc.
:
* We could use "weight-per-volume" instead of "specific_weight".
:
* What about "submerged weight" ?
:
* See: [http://en.wikipedia.org/wiki/Specific_weight Specific weight] and [http://en.wikipedia.org/wiki/Weight Weight].
 
<br/>
<!-- ============================================= -->
 
== {{ Bar Heading| text=Work}} ==
 
&nbsp; base_quantity = "work" <br/>
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; ""
 
&nbsp; ''Examples''
 
* Work has units of energy and measures a change in energy due to a force being applied to an object over a distance.
:
* See: [https://en.wikipedia.org/wiki/Work_(physics) Work (physics)].
 
<br/>
<!-- ============================================= -->
 
== {{ Bar Heading| text=Yield}} ==
 
&nbsp; base_quantity = "yield" <br/>
&nbsp; ''Examples of Specific Quantities:'' <br/>
&nbsp; "specific_yield"    (in groundwater modeling)


&nbsp; ''Examples''
&nbsp; ''Examples''
  alaskan-black-bear__weight
  basin_outlet_sediment__yield


* The weight of an object has units of force and is the product of its mass and the standard gravity constant for the planet on which the weight is being measured.
* In geology, "sediment yield" refers to the total mass of particulate matter (suspended or bedload) that reaches the outlet of a drainage basin over a fixed time interval.  It has units of [mass / (area * time)] or [M L-2 T-1].  See: [http://en.wikipedia.org/wiki/River#Sediment_yield sediment yield].
:
:
* See: [http://en.wikipedia.org/wiki/Specific_weight Specific weight] and [http://en.wikipedia.org/wiki/Weight Weight].
* In agriculture, "crop yield" refers to the total amount produced (e.g. kilograms or bushels) per unit area. See: [http://en.wikipedia.org/wiki/Crop_yield Crop yield] and [http://en.wikipedia.org/wiki/Yield_(wine) Yield (wine)].
 
<br/>
<!-- ============================================= -->
 
== {{ Bar Heading| text=Yield}} ==
 
&nbsp; base_quantity = "yield" <br/>
&nbsp; quantity = "specific_yield"    (in groundwater modeling)
 
&nbsp; ''Examples''
watershed_sediment__yield
 
* In geology, "sediment_yield" refers to the total mass of particulate matter (suspended or bedload) that reaches the outlet of a watershed over a fixed time interval.  It has units of [mass / (area * time)] or [M L-2 T-1].  See: [http://en.wikipedia.org/wiki/River#Sediment_yield sediment yield].
:
:
* What about "yield_strength" (plastic deformation) ?
* What about "yield_strength" (plastic deformation) ? See: [http://en.wikipedia.org/wiki/Yield_(engineering) Yield (engineering)].
:
:
* See also: [http://en.wikipedia.org/wiki/Yield_surface Yield surface].
* See also: [http://en.wikipedia.org/wiki/Specific_yield#Specific_yield Specific yield] (groundwater), [http://en.wikipedia.org/wiki/Yield_(chemistry) Yield (chemistry)], [http://en.wikipedia.org/wiki/Yield_surface Yield surface] and [http://en.wikipedia.org/wiki/Quantum_yield Quantum yield].


:
:
:
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Latest revision as of 14:53, 14 July 2015

  CSDMS Standard Names — Quantity Templates

  • A CSDMS Standard Name must have an object part and a quantity part, with adjectives and modifiers (as prefixes) being used to help avoid ambiguity and identify a specific object and a specific, associated quantity. This document contains "quantity templates". For "object templates", see: CSDMS Object Templates.
  • The "templates" listed below are not exhaustive, but they do address many commonly needed cases where the pattern may not be obvious. Additional templates will continue to be added over time.
  • This page used to contain sections with titles like "Attributes of Channels". All of these sections have been moved to a separate page: CSDMS Standard Name Examples.
  • Each template includes examples and explanatory notes, and many of them make reference to the CF Standard Names, sometimes using the abbreviation "CF".
  • Quantity seems to be the best word choice here, see Quantity and Physical quantities. The word "attribute" is more general and may also be a good choice, but many attributes cannot be measured or quantified with a numerical value that has units. Here we define a quantity as an attribute of an object that has units. (But including dimensionless units like [m/m].)
  • Quantity Suffix Pattern. A "quantity suffix" is a word like "anomaly", "component", "correction", "fraction", "increment", "limit", "magnitude", "offset", "scale", "step" or "threshold" (and in some cases "ratio") that produces a new quantity name from an existing quantity name (e.g. "elevation_increment", "time_step" and "length_scale"). The units are usually unchanged, but "fraction" and "ratio" are exceptions. While quantity suffixes are a common pattern in describing quantities, CSDMS is moving away from using them in standard names because they can also be expressed (with more flexibility) using an operation prefix. ( See the CSDMS Operation Templates.) For example, "east_velocity_component" can be expressed as "east_component_of_velocity". As an operation prefix, additional adjectives can be applied for clarity (when necessary) without losing parsability, as in "east_down_component_of_shear_stress". In addition, operations can be composed, as in "x_component_of_gradient_of_elevation", again without losing parsability.
  • Operation_name + Quantity Pattern. An optional operation name can be added in front of a quantity name to create a new quantity name that often has different units. See: CSDMS Operation Templates.
  • Process_name + Quantity Pattern. Many quantity names contain a process name modifier from the standardized list of CSDMS Process Names. Process names are nouns, not adjectives, so we would use "refraction_index" instead of "refractive_index". (Or "diffusion_coefficient" vs. "diffusive_coefficient", etc.) The templates for Process Attributes and Rates of Processes below provide many more examples.
  • Object-in-Object Quantity Pattern. Some quantities require 2 objects/substances to be specified where one is contained within the other. Examples include: "concentration", "diffusion_coefficient", "partial_pressure", "relative_saturation" (see Humidity), "solubility" and "volume_fraction". CSDMS has experimented with using the reserved word "_in_" and the pattern: object = (object + "_in_" + object) for such cases as in:
carbon_dioxide_in_air + partial_pressure
carbon_dioxide_in_air + relative_saturation
carbon_dioxide_in_water + solubility
clay_in_soil + volume_fraction
helium_plume_in_air + richardson_number
sand_in_soil + volume_fraction
silt_in_soil + volume_fraction
visible_light_in_air + speed      ## (possibly; See the Constants in Physics template.)
water_vapor_in_air + dew_point_temperature
water_in_atmosphere + precipitation_leq-volume_flux
However, using this pattern causes related quantities to become alphabetically separated, like "clay_in_soil" + "volume_fraction" and "sand_in_soil" + "volume_fraction". For this reason, CSDMS is moving toward expressing the "in" relationship through object nesting (as used in the Part of Another Object Pattern). The examples listed above then become:
air_helium-plume__richardson_number
air_radiation~visible__speed
atmosphere_air_carbon-dioxide__partial_pressure
atmosphere_air_carbon-dioxide__relative_saturation
atmosphere_air_water~vapor__dew_point_temperature
atmosphere_water__precipitation_leq-volume_flux
soil_clay__volume_fraction
soil_sand__volume_fraction
soil_silt__volume_fraction
water_carbon-dioxide__solubility
As of 7/23/14, hyphens are used in certain contexts to bundle multiple words that are part of a single concept or object, such as "carbon-dioxide". This allows the object part of a name to be parsed (on underscores) into its component parts. For example, "atmosphere_carbon-dioxide" can be parsed into "atmosphere" and "carbon-dioxide". Without the hyphen, "carbon" and "dioxide" would be identified as two separate objects, with "dioxide' contained in (or a part of) "carbon".
Note that bubble_point_temperature, dew_point_temperature and frost_point_temperature also require one substance within another, as in: air_water~vapor__dew_point_temperature. See the Temperature template.
  • Saturated Quantity Rule. When using the Object-in-object Quantity Pattern there are several quantities that refer to a system that is saturated or "at saturation". In these cases the word "saturated" is inserted in front of the quantity name to define a new quantity. Examples include:
air_water~vapor__saturated_partial_pressure
soil_water__saturated_hydraulic_conductivity
soil_water__saturated_volume_fraction    (i.e. water content)
While it is true that the soil is saturated in the first two examples, we use this rule instead of inserting "saturated" as an adjective in front of soil and instead of appending a suffix like "at_saturation", which doesn't fit our (object + quantity) pattern. This rule is natural in the sense that each of the "saturated quantities" listed above would be represented by a separate variable in a model, often denoted with a subscript such as "s".
  • Object-on-Object Quantity Pattern. Some quantities require 2 objects/substances to be specified where one is "on" or in contact with the other. Examples often involve friction. In such cases we use the reserved word "_on_" and the pattern: object = (object + "_on_" + object), as in:
concrete_rubber__kinetic_friction_coefficient
pavement_rubber__static_friction_coefficient
 
Note: Maybe "-and-"or "-to-" would be better than "_on_" here.  We should also list
the two object names in alphabetical order to avoid two names for the same thing.
  • Object-to-Object Quantity Pattern. When the quantity refers to a relationship between two objects, we use the reserved word "-to-" and the pattern: (object + "-to-" + object + quantity). The reserved word "-to-" can also be used for ratios. See the Ratio template. Examples include:
bear_brain-to-body__mass_ratio
earth-to-mars__travel_time
earth-to-sun__mean_distance
 
When two objects are required to define a quantity, the last 2 objects in the object part of the name are often used, as in:
carbon_hydrogen__bond_length
hydrogen_oxygen__bond_energy (See: Table of bond energies.)
In the last two examples, we put the two object names in alphabetical order to avoid two standard names for the same thing.
We may also be able to use this pattern in constructions like: "land_subsurface-to-surface_water + seepage_rate", or "land_subsurface_water-to-surface + seepage_rate" or "ground_water-to-surface_water + seepage_rate" or "land_subsurface-to-land_surface_water + seepage_rate".
  • Object-or-Object Quantity Pattern. In some cases, a quantity may apply to either of two alternate objects, as in:
land-or-sea_surface_radiation~incoming~shortwave__energy_flux
  • Quantity-to-Quantity Pattern. Although similar to the Object-to-object Quantity Pattern, this pattern is used when two quantities (measured on the same object) are needed to define a new quantity as in:
channel_x-section__width-to-depth_ratio
electron__charge-to-mass_ratio    charge to mass ratio
electron__mass-to-charge_ratio
Note that "hydraulic radius" is a valid quantity name, but could also be expressed as "channel_x-section" + "wetted-area-to-perimeter_ratio".
  • Short Quantity Name Synonyms. There are several terms that may provide a "short name" or synonym for another quantity, such as:
aspect     = azimuth_angle_of_antigradient_of_elevation   (relative to a fixed axis)
density    = mass-to-volume_ratio   (but density sometimes has other meanings; use "mass_density" ??)
discharge  = water~outgoing + volume_flow_rate
slope      = magnitude_of_gradient_of_elevation
speed      = magnitude_of_velocity   (or even "motion_rate"; process_name + quantity)
  • Incoming and Outgoing Quantity Rule. Fluxes, flows and vector quantities may either enter or exit a given object (viewed as a control volume). In these cases, it is therefore necessary to distinguish between "incoming" or "outgoing". As of 7/23/14, "incoming" and "outgoing" are used as standard adjectives in such cases, even though it is also possible to use the Process Name + Quantity Pattern and then choose a process name that indicates whether the quantity is "incoming" or "outgoing". As of 8/16/14, the adjectives "incoming" and "outgoing" (with hyphens) may be applied to the transported substance in the object part of the name. Examples include:
atmosphere_top_surface_radiation~incoming~longwave__energy_flux
atmosphere_top_surface_radiation~incoming~shortwave__energy_flux
lake_water~incoming__volume_flow_rate
lake_water~outgoing__volume_flow_rate
model_grid_cell_water~incoming__volume_flow_rate
model_grid_cell_water~outgoing__volume_flow_rate
Recall that "discharge" is a short synonym for "outgoing_volume_flow_rate". (The word "discharge" connotes an "outflow".) Note that "inflow" and "outflow" are valid process names. See the Discharge template.
Note: In the CF Standard Names, "incoming" is only used in one name (namely, "toa_incoming_shortwave_flux") while "outgoing" is used in only 6 names (always containing "toa_outgoing_longwave_flux" or "toa_outgoing_shortwave_flux"). Recall that "toa" = "top_of_atmosphere".


Absorptance

  base_quantity = "absorptance"
  Examples of Specific Quantities:
  "spectral_absorptance"

  Examples

atmosphere_air_radiation~incoming~longwave__absorptance
  • Absorptance (also called "absorptivity" and "absorption factor") is the dimensionless ratio of the radiation intensity absorbed by something to the original, incident radiation intensity. It is a number between 0 and 1.
  • Absorptance + Reflectance + Transmittance = 1. See Reflectance and Transmittance below.
  • Various authors recommend using the terms: Absorptivity, Emissivity, Reflectivity and Transmissivity as properties of a pure material and Absorptance, Emittance, Reflectance and Transmittance as the analogous terms for the characteristics of a specimen or sample. See: Palmer, J.M. (1994) Chapter 25: The measurement of transmission, absorption, emission and reflection, Handbook of Optics, 2nd ed., Part II, M. Bass, editor, McGraw-Hill, NY. (A PDF file is available here.)
  • At a given wavelength, absorptance = emittance.
  • The quantity "spectral absorptance" is the absorptance associated with a specific wavelength.
  • The term absorbance, although similar, is a different quantity that involves a log function.


Affinity

  base_quantity = "affinity"
  Examples of Specific Quantities:
  "chemical_affinity"
  "electron_affinity" (of an atom or molecule)

  Examples

chlorine_electron__affinity
magnesium-chloride_water__chemical_affinity
sulphuric-acid_water__chemical_affinity
water_electron__affinity 
  • Chemical affinity is defined in terms of Gibbs free energy. It is a quantity associated with two chemical species (atoms, molecules, ions, etc.) and therefore uses the Object-to-object Quantity Pattern.


Age

  base_quantity = "age"
  Examples of Specific Quantities:
  "deposition_age"

  Examples

sea_bottom_sediment__deposition_age
  • The quantity age indicates the elapsed time since something was first formed or created, whether it be sea ice, a person or a sediment deposit. It has units of time.
  • Note that "deposition_age" follows the Process Name + Base Quantity Name Pattern.
  • See Duration and Time.


Albedo

  base_quantity = "albedo"
  Examples of Specific Quantities:
  "black-sky_albedo"
  "blue-sky_albedo"
  "bond_albedo"
  "geometric_albedo"
  "visual_geometric_albedo"
  "white-sky_albedo"

  Examples

earth__bond_albedo
land_surface__albedo
  • Albedo (also called "reflection coefficient") is the ratio of the power per unit area [W m-2] of electromagnetic radiation reflected by a surface to the original, incident power per unit area (or irradiance). It is a dimensionless number between 0 (for a perfectly black surface) and 1 (for a perfectly white surface). The word albedo comes from the Latin word for "whiteness".
  • Reflectance is a very closely related concept but there does not appear to be a universally accepted distinction between albedo and reflectance. Some authors take them to be equivalent, others use albedo for an average over shortwave radiation and reflectance as a function of wavelength, others describe albedo as either "diffuse reflectance" or "broadband reflectance" etc.. Dingman (2002) in his book Physical Hydrology defines albedo as the average of reflectance over visible wavelengths. This ambiguity was already recognized in a 1917 paper by Louis Bell. There have been recent efforts by Schaepman-Strub (2006) and others to standardize the terminology in descriptions of satellite surface albedo products. See Reflectance below.
  • There is an important distinction between Bond albedo and Geometric albedo, and a formula relating the two. Bond albedos are strictly between 0 and 1 while geometric albedos can be greater than 1. (Enceladus, a large moon of Saturn, reportedly has a bond albedo of 0.99 and a visual geometric albedo of 1.4.) Bond albedo takes all wavelengths and phase angles of electromagnetic radiation into account.
  • To more accurately characterize the scattering properties of a surface, a Bidirectional Reflectance Distribution Function (BRDF) is often used. The integral of the BRDF over all viewing angles is called the Directional-hemispherical reflectance (DHR) or "black-sky albedo". There are two types of Bi-hemispherical reflectance (BHR). The first is often called "blue-sky albedo" (or "actual albedo"). The second -- often called "white-sky albedo" -- is the BHR under isotropic diffuse irradiance conditions (i.e. reflectance when there is only diffuse and no direct illumination, denoted as BHRiso). For many applications it is possible to approximate the albedo at a particular solar zenith angle as a linear combination of DHR (or black-sky albedo) and BHRiso (or white-sky albedo). The contribution from each is determined by D, the proportion of diffuse illumination. See: White-sky and black-sky albedo.
  • A Lambertian surface is an idealized model. In this sense it is similar to "black body", "channel centerline", "earth ellipsoid" or "mean-sea-level datum".


Altitude

  base_quantity = "altitude"

  Examples

airplane__altitude
balloon__altitude
projectile__altitude
skydiver__altitude
submarine_above-seafloor__altitude   (need "seafloor" vs. "bottom" for clarity here)
  • There is a subtle but important difference between the quantities "altitude" and "elevation". The word altitude refers to the distance of an object (e.g. aircraft, air parcel or balloon) above the ground, regardless of the local elevation of the land surface. The word elevation refers to the distance of an object (typically a land surface) above a datum, such as the mean sea level datum. Elevation is one of the three Geographic coordinates used to specify a 3D location (i.e. elevation, latitude and longitude).
  • A skydiver or aircraft pilot is interested in knowing their height above the ground, locally, especially with regard to landing. Barometric altimeters (or pressure altimeters) measure the distance above mean sea level (so elevation), but may then be corrected using a QFE setting so that they display an altitude of zero for a given airfield (regardless of its elevation above sea level). Radar and laser altimeters measure the height above the ground directly by measuring the time it takes for a signal to reflect from the land surface and return to the aircraft.
  • The standard sport skydiving altitude is 12,500 feet AGL (Above Ground Level); sometimes up to 18,000 feet AGL.
  • Can we also use "altitude" for the height of an object (e.g. particle, submarine) above the sea floor (i.e. height above seafloor)? Do we need an extra adjective, like "bathymetric_altitude" or "above-bottom_altitude" ? We could also use something like "particle-to-bottom" + "distance" or just "particle_bottom_distance". The current approach is to use "above-bottom" as a "place" or "part", in the object part of the name.
  • The standard term "equilibrium line altitude" (ELA) is discussed in the Attributes of Glaciers template.
  • Note that in the CF Standard Names, "altitude" is used as a synonym for "elevation".
  • See the Elevation template.


Amplitude

  base_quantity = "amplitude"

  Examples

sea_surface_water_wave__amplitude    # wave~gravity
wave~airy__amplitude
wave~cnoidal__amplitude
wave~electromagnetic__amplitude
wave~seismic__amplitude
wave~stokes__amplitude
  • "Amplitude" is a basic property of a periodic function or waveform, along with wavelength and wavenumber.


Angle

  base_quantity = "angle"

  Examples

azimuth_angle, bank_angle, bond_angle, camber_angle, caster_angle, declination_angle, depression_angle, dihedral_angle,
elevation_angle, exterior_angle, flare_angle, friction_angle, incidence_angle, inclination_angle, look_angle, nadir_angle, 
phase_angle, pitch_angle, polarization_angle, rake_angle, repose_angle, roll_angle, rotation_angle, scattering_angle,
shock_angle, slope_angle, solid_angle, spreading_angle, tilt_angle, torsion_angle, vertex_angle,
yaw_angle, zenith_angle
  • The local azimuth angle, zenith angle, and elevation angle (the complement of the zenith angle, less often called "altitude angle") that can be associated with a 2D or 3D vector field are treated as operations in the CSDMS Standard Names. See the CSDMS Operation Templates for more information.
  • There are two major conventions used for measuring angles. For bearings, the angle is usually measured clockwise from north, and this typically includes wind data. (We also need to clarify whether the wind is blowing "to" or "from" that direction.) Most other angles are measured the way you learned in high school, counterclockwise from the x-axis (or from the east). It is therefore important to specify the convention that is used. This can be done by including the appropriate <assume> tag in a model's Model Metadata File, chosen from the standardized assumption names on the CSDMS Assumption Names page. A smart framework would be able to convert between these two conventions, when necessary, after examining these <assume> tags. Note: We could also introduce "bearing" as another base quantity so that the metadata wouldn't be necessary.
  • A bearing (to an observed object) can also be specified relative to the direction of travel of a vehicle (e.g. truck, ship or airplane) instead of relative to north. See: Bearing (navigation).
  • A heading is the direction (usually given as a bearing) in which an object, such as a ship or airplane, is traveling. It is related to the course and track angle; see: Course (navigation).
  • Note that "earth_axis" + "tilt_angle" uses the object name "earth_axis" to refer to a "part" of the Earth (Part of Another Object Pattern) and the quantity name "tilt_angle" follows the Process_name + Quantity Pattern. We use "tilt" vs. "tilting" as allowed by one of the Basic Rules. We use "earth_axis__tilt_angle" vs. "earth" + "axial_tilt_angle" in accordance with the Object vs. Adjective Rule.
  • In the context of a satellite or airplane viewing the Earth's surface, the terms look angle and nadir angle are used to indicate the angle between straight down from the satellite (i.e. the nadir direction) and the ray that points from the satellite to a location on the Earth's surface. The complement of the "look angle" is often called the depression angle. The term "off-nadir angle" would be more descriptive but is not as widely used. "Zenith angle" and "elevation angle" are also complementary angles, typically used for a viewer on Earth's surface looking up at an object in the sky (e.g. the sun or a planet). Note: The terms "view angle" or "viewing angle" should not be used in this context because they have other, more common meanings related to a camera's "angle of view" or the angles from which a TV or monitor are being viewed.
  • In the CSDMS Standard Names, the quantities "azimuth_angle_of_position_vector", "elevation_angle_of_position_vector" and "zenith_angle_of_position_vector" are used for an object viewed from the Earth's surface (e.g. satellite), while "azimuth_angle_of_look_vector", "depression_angle_of_look_vector", "nadir_angle_of_look_vector" are used for objects on the Earth's surface viewed from above (e.g. a satellite).
  • The quantity angle_of_repose is called "repose_angle" in the CSDMS Standard Names. This may sound a bit strange when spoken, but this is outweighed by the benefits of following a standardized pattern.
  • Many of these follow the Process_name + Quantity Pattern.
  • CSDMS standard names use "aspect_angle" vs. "aspect" for clarity since we distinguish between "slope" and "slope_angle".
  • bank_angle is related to banking (e.g. aircraft) in turns but may also be used in the context of channel banks. The object part of the name allows the same quantity name to be used in different contexts.
  • Three Euler angles can be used to describe the orientation of a rigid body, but different conventions are used. These would have some adjective(s) inserted before "euler_angle".
  • The term flare angle refers to an angle measured from the vertical or main axis. The verb "flare" means to gradually become wider. (e.g. bell-bottom pants) The term "spreading_angle" is very similar.


Anomaly

  operation_prefix = "anomaly_of"

  Examples

atmosphere_air__anomaly_of_pressure   (i.e. difference from climatology)
atmosphere_air__anomaly_of_temperature
sea_surface_water__anomaly_of_geopotential_height
sea_surface_water__anomaly_of_temperature
  • Before 3/19/13 this was treated as a quantity suffix, but now it is treated as an "operation prefix". It does not change the units. See Component, Increment and Magnitude.
  • Means the "difference from climatology" in CF Standard Names. The "mean climatology" used as a reference should be specified in the Model Metadata File with an <assume> tag. See Reference Quantities.
  • The word "anomaly" is used in 4 CF Standard Names, namely:
air_pressure_anomaly    
air_temperature_anomaly
geopotential_height_anomaly
surface_temperature_anomaly


Area

  base_quantity = "area"
  Examples of Specific Quantities:
  "surface_area"

  Examples

basin_outlet__total_contributing_area
channel_x-section__area
glacier_surface__area
lake_surface__area
sphere_surface__area
  • This quantity can be defined for any polygon and has units of length squared.
  • The quantity "surface_area" can be defined for a surface that lies above some planar domain. However, this is usually not what is meant by the term "area". For CSDMS Standard Names, use "surface_area" for this situation and "area" otherwise.
  • Several different terms are used for the area of a drainage basin, such as "drainage area", "contributing area", "upstream contributing area", "total contributing area (TCA)" and "specific contributing area (SCA)". A drainage basin can be viewed as a polygon with a well-defined area. The terms "total contributing area" (TCA) and "specific contributing area" (SCA) are used in reference to the region that contributes flow to an arbitrary line segment placed perpendicular to the flow direction at some point in a landscape. SCA is then defined as TCA divided by the length of this segment.
  • When "surface" is used in connection with a body of water or ice, it indicates the top of that body and the area is the map view area.


Aspect

  base_quantity = "angle"
  Examples of Specific Quantities:
  "aspect_angle"

  Examples

land_surface__aspect_angle
  • "Aspect angle" is the azimuth angle of the opposite of the gradient vector of elevation. Recall that the gradient is a 2D vector that points in the direction of steepest downhill and which has a magnitude equal to the slope. (See slope). The opposite of the gradient vector is a vector that points in the opposite direction, or the the direction of steepest uphill. It is sometimes referred to as the antigradient. Aspect angle could therefore also be expressed as: "azimuth_angle_of_antigradient_of_elevation".


Capacity

  base_quantity = "capacity"
  Examples of Specific Quantities:
  "anion_exchange_capacity" (used in soil physics)
  "cargo_capacity" (e.g. of an automobile)
  "cation_exchange_capacity" (used in soil physics)
  "carrying_capacity" (of an ecosystem)
  "infiltration_capacity" ####### (in hydrology; also called "infiltrability")
  "interception_capacity" (in hydrology)
  "isobaric_heat_capacity" (constant pressure) (of an entire object, extensive)
  "isochoric_heat_capacity" (constant volume) (of an entire object, extensive)
  "mass-specific_isobaric_heat_capacity" (constant pressure)
  "mass-specific_isochoric_heat_capacity" (constant volume)
  "volume-specific_isobaric_heat_capacity" (constant pressure)
  "volume-specific_isochoric_heat_capacity" (constant volume)

  Examples

air__volume-specific_isochoric_heat_capacity
anvil__isobaric_heat_capacity
aluminum__mass-specific_isobaric_heat_capacity
earth_human__carrying_capacity    (need to specify two objects)
space-shuttle_tile__isochoric_heat_capacity
  • The word "capacity" indicates the maximum "amount" of something that an object can hold. When applied to an empty container, like a fuel tank, it has units of volume. However, it may also be a nonnegative integer, as in "carrying capacity" or have other units, as in various types of heat capacity.
  • Heat capacity is an extensive property of an object (or matter); it is proportional to the amount of matter and can be used for discrete objects (like an anvil). There are two types of heat capacity, one computed with the pressure held constant, called "isobaric" and another with the volume held constant, called "isochoric". "Specific heat capacity" (often called "specific heat capacity") is an intensive property, that is, an amount per unit mass or volume. In the CSDMS Standard Names, the adjectives "mass-specific", "volume-specific" and "mole-specific" are used to remove ambiguity.
  • "Thermal capacity" is another, but less commonly used term for "heat capacity".
  • Aluminum, copper, cast iron and stainless steel cookware are often compared in terms of their thermal conductivity (how well they conduct heat) and heat capacity (how well they retain heat). See: Cookware and bakeware.
  • The term carrying capacity follows the Process_name + Quantity Pattern and is the maximum population size for a given ecosystem.
  • There are 4 CF Standard Names that contain "capacity", namely "soil_thermal_capacity" and 3 others that contain the phrase "at_field_capacity" and refer to soil moisture. The coresponding CSDMS standard name is: "soil_field_capacity_water_content". See the Soil template on the CSDMS Object Templates page for more information.


Charge

  base_quantity = "charge" [C = Coulombs, SI unit]

  Examples

electron__electric_charge
  • The total electric charge is a fundamental conserved quantity of an isolated system.
  • Electric charge is quantized, that is, it comes in multiples of the the charge of an electron, called the elementary charge, denoted as "e". The charge of a quark is 1/3 of this value. Electric charge also carries a sign; protons and electrons have charges of e and -e.


Circulation

  base_quantity = "circulation"

  Examples airfoil_curve~enclosing__circulation

  • In fluid dynamics, circulation is the line integral of a velocity field around a closed curve. If not otherwise specified, that closed curve is taken to enclose the object in the object part of the name (i.e. in a CSDMS Standard Name). The closed curve is also assumed to lie wholly within the "potential flow" region and not in the boundary layer close to the boundary of the airfoil/object.
  • We could also use something like: "airfoil" + "closed_line_integral_of_velocity"


Code

  base_quantity = "code"

  Examples

basin__pfafstetter_code
basin__usgs_hydrologic_unit_code
location__postal_code     (See: Postal code.)
  • For hydrologic features such as rivers, unique identification numbers such as the USGS Hydrologic Unit Code (or "HUC number") and Pfafstetter Code are used.
  • Codes sometimes include both numbers and letters.
  • See Number.


Coefficient

  base_quantity = "coefficient"
  Examples of Specific Quantities:
  "absorption_coefficient"
  "attenuation_coefficient"
  "diffusion_coefficient"
  "drag_coefficient"
  "eddy_diffusion_coefficient"
  "exchange_coefficient"
  "expansion_coefficient"
  "extinction_coefficient"
  "friction_coefficient"
  "lift_coefficient"
  "partition_coefficient"
  "reaeration_coefficient"
  "reflection_coefficient"
  "scattering_coefficient"
  "sieving_coefficient"
  "transfer_coefficient"
  "transmission_coefficient"

  Examples

airfoil__drag_coefficient
airfoil__lift_coefficient
concrete_rubber__kinetic_friction_coefficient
atmosphere_air_radiation__beer_lambert_law_attenuation_coefficient
iron__thermal_volume_expansion_coefficient
glacier__glen_law_coefficient
math__binomial_coefficient     (See Constants in Math)
pavement_rubber__static_friction_coefficient
polynomial__leading_coefficient
spring~steel__hooke_law_coefficient    [kg s-2]    (the "spring constant" in Hooke's law)
water_salt__diffusion_coefficient
  • Coefficients are multiplicative factors that often occur in empirical laws, and other mathematical expressions. In the CSDMS Standard Names, other "control variables" that do not appear as multiplicative factors are referred to as parameters. (However, sometimes people refer to these other parameters as coefficients.) Coefficients and exponents can be viewed as special types of parameters. Parameters are typically not model state variables, but instead are "tunable" "control parameters" that define the model itself.
  • Many quantity names (see above) are built from the base quantity "coefficient" and a process name, which conforms to the Process_name + Quantity Pattern.
  • Diffusion is the process by which a substance moves (down gradient) from regions of high concentration to regions of low concentration. In molecular diffusion this process is driven by thermal energy. In turbulent diffusion it is driven by random fluctuations and swirling structures in the flow, such as eddies. When unqualified, a diffusion coefficient refers to the parameter, D, in the diffusion equation that has units of [m2 s-1], regardless of what substance is diffusing. The term eddy diffusion coefficient (also called "eddy diffusivity") is used for turbulent diffusion and also has units of [m2 s-1]. See the section for Diffusivity (which needs to be reconciled with this one).
  • The concept of bulk parameterization is used in atmosphere and ocean science in order to estimate the rates (as fluxes) at which mass, momentum and heat are transferred between the atmosphere and the surface of either the land or sea. This approach uses the logarithmic law of the wall to relate the fluxes to values of heat, momentum, humidity (water vapor) or other gases that are measured at some fixed height above the interface (e.g. 10 meters). The use of the adjective "bulk" seems to stem partly from the idea of "bulk flow" (also called "free stream flow"), or flow that is far enough away from the interface boundary that it moves relatively unimpeded, as opposed to near-boundary flow. It also indicates that fluxes obtained by this method should be applicable over larger areas. Bulk transfer coefficients (also called "bulk exchange coefficients") are quantities associated with this approach, and can be defined somewhat differently by different authors, for example as dimensionless quantities or including shear velocity as a factor (with velocity units). There are separate bulk transfer coefficients for mass (water vapor or another gas, which may condense at the interface), momentum and heat. These bulk transfer coefficients are initially computed for a "neutral" state (e.g. when the surface temperature is equal to the air temperature), and then typically adjusted (e.g. by a function of bulk Richardson number) depending on whether the (stratified) atmosphere is in a "stable" (e.g. T_surf > T_air) or "unstable" (T_surf < T_air) state. These considerations lead to standard names such as "bulk_mass_transfer_coefficient" and "bulk_sensible_heat_transfer_coefficient" which are taken to be dimensionless. Note that the adjectives "stable" and "unstable" are not included because they are attributes of the atmosphere that are used to compute the bulk transfer coefficient but can change during a model run. The adjective "neutral" can be included, however, since this allows access to the "base value" that is modified for the stable and unstable cases. Note: The product of the wind speed at the reference height and a bulk transfer coefficient is sometimes called the "bulk aerodynamic conductance" (of mass, momentum or heat). The reciprocal is then the "bulk aerodynamic resistance".
  • In the book, "Hydrology: An Introduction" by Brutsaert (2005, p. 41), the transfer coefficients for mass, momentum and heat are defined as dimensionless numbers and denoted as: Ce, Cd and Ch. Ce is also called the Dalton number (for water vapor). Cd is also called the drag coefficient. Ch is also called the Stanton number. However, this differs from other definitions; see: Heat transfer coefficient (SI units of [W m-2 K-1]) and Mass transfer coefficient (SI units of [m s-1]).
  • The "Manning n parameter" is sometimes called "Manning's roughness coefficient" or "Manning's coefficient" or something similar. (But the word "roughness" is not needed to remove ambiguity.) Since Manning's n appears in the denominator of Manning's formula, it technically isn't a coefficient (i.e. its inverse is the multiplicative factor, or coefficient). Note that Manning's formula also contains another parameter, usually denoted by "k" that serves as a unit conversion factor. In the CSDMS Standard Names these are both referred to as "parameters" and use that pattern.
  • The terms "attenuation_coefficient" and "attenuation_factor" are both used but they refer to different quantities associated with the Beer-Lambert Law. The "attenuation coefficient" is a parameter in the Beer-Lambert law with units of inverse length. When applied to gases in the atmosphere, dimensionless quantities called "optical air mass" and "optical depth" are instead used in the exponential. "Attenuation factor " is apparently a synonym for "transmittance", which is the ratio of transmitted to incident radiation, I(x)/I(0), a positive number less than 1. See: Absorbance, Air mass, Attenuation coefficient, Beer-Lambert Law, Optical depth and Transmittance.
  • See Constant, Exponent, Factor, Index, Number and Parameter.
  • See Friction.


Component

  [ direction adjective(s) ] + "_component_of_" + [ vector quantity ]

  Examples

atmosphere_air_flow__east_component_of_velocity
atmosphere_air_flow__north_component_of_vorticity
channel_water_flow__x_component_of_velocity
sea_water_flow__down_east_component_of_stress
  • Components of vectors and tensors are constructed using coordinate-direction adjectives and the "component_of" operation, as shown in the examples above.
  • The coordinate-direction adjectives are: east, west, north, south, x, y, z, up, down, offshore, longshore, cross_stream and downstream. Two coordinate-direction adjectives are needed for a component of "flow_shear_stress". As of 7/28/14, eastward, westward, northward and southward have been shortened to east, west, north and south.
  • Note that the word "flow" is used in the object part of the name as a shorthand for "flow_field". It is another example of the Object Name + Model Name Pattern.
  • See Stress, Velocity and Vorticity.


Compressibility

  base_quantity = "compressibility"
  Examples of Specific Quantities:
  "isentropic_compressibility"
  "isothermal_compressibility"

  Examples

atmosphere_air__isothermal_compressibility
  • Compressibility is a measure of the relative change in volume in response to a pressure.


Concentration

  base_quantity = "concentration"
  Examples of Specific Quantities:
  "mass_concentration" [kg m-3]
  "molar_concentration" [mol m-3] (molarity)
  "number_concentration" [m-3]
  "volume_concentration" [1] = [m3 / m3]

  Examples

channel_water_sediment~suspended__mass_concentration
sea_water_magnesium-chloride__molar_concentration
sea_water_sediment~suspended__mass_concentration
  • There are four main types of concentration, shown above, and they all have different units.
  • The quantity "concentration" is always associated with two substances (objects) so we use the Object-in-object Quantity Pattern.
  • Molality is a related concept with SI units of [mol kg-1].
  • Mass fraction and mole fraction are both dimensionless ratios.
  • Mass ratio and mole ratio are also dimensionless ratios and are considered "mixing ratios". See: Mixing ratio.
  • "Molar concentration" is also called "molarity". See: Molarity.
  • "Volume concentration" is also called "volume fraction". See Fraction.
  • The term "osmotic concentration" is also used.


Conductance

  base_quantity = "conductance"
  Examples of Specific Quantities:
  "atmospheric_conductance" [m s-1]
  "bulk_atmospheric_conductance" [m s-1]
  "electrical_conductance" [A V-1]
  "fluid_conductance" [m2 s-1]
  "thermal_conductance"

  Examples

snow__thermal_conductance
  • Conductance is the reciprocal of resistance.
  • Conductance is different from conductivity. See Conductivity.
  • The product of wind speed at a reference height and a bulk transfer coefficient is called the "bulk aerodynamic conductance" (of mass, momentum or heat). The reciprocal, "bulk aerodynamic resistance", is also used. See Coefficient.
  • Units cannot be determined from the "base quantity" name as shown above.


Conductivity

  base_quantity = "conductivity"
  Examples of Specific Quantities:
  "electrical_conductivity" [siemens m-1] or [ohm-1 m-1]
  "hydraulic_conductivity" [m s-1]
  "ionic_conductivity"
  "molar_conductivity"
  "thermal_conductivity" [W m-1 K-1] (this is an intensive property; don't need to add "specific")

  Examples

sea_water__electrical_conductivity
snow__thermal_conductivity
soil__saturated_hydraulic_conductivity
  • Units cannot be determined from the "base quantity" name as shown above.
  • Hydraulic conductivity can depend on coordinate direction unless the soil is assumed to be isotropic. When applicable, include an <assume> tag in the Model Metadata File with the standard assumption name: "isotropic_medium". See CSDMS Assumption Names for more information.
  • "Relative hydraulic conductivity" is the ratio of (K / K_sat). See Smith (2002).


Constants in Math

  base_quantity = "constant"
  "math_" + constant_name + "_constant"

  Examples

math__catalan_constant
math__chaitin_constant
math__conway_constant
math__e_constant                (or math_euler_e_constant ??)
math__euler_gamma_constant
math__feigenbaum_alpha_constant
math__feigenbaum_delta_constant
math__golden_ratio_constant
math__googol_constant
math__khinchin_constant
math__pythagoras_constant   (= square root of 2)
math__sierpinski_constant
math__twin_prime_constant
math__pi_constant
  • These numbers are not a quantity associated with an object like our others so we have used "math" as a placeholder object. Note that one model may want to check the number of significant digits of a math constant (like pi) that are used in another model, for example.
  • See the Dimensionless Number template.


Constants in Physics

  base_quantity = "constant"

  Examples

air__dielectric_constant  [1]            (can be complex)   
earth__solar_constant              [W m-2]        (solar_irradiation_constant may be better)
earth__standard_gravity_constant   [m s-2]  ("little g", see Attributes of Planets template)

physics__atomic_mass_constant    [kg]   (about 1.660538921e-27)
physics__avogadro_constant           [unit mol-1]   (see Note below)
physics__bohr_radius_constant   [m]  (about 5.2917721092e-11)
physics__boltzmann_constant         (See ideal_gas_constant)
physics__cosmological_constant       [m-2]   (about 10^{-52};  object = universe)
physics__coulomb_constant            [N m2 C-2]     (C = Coulomb SI unit)   
physics__elementary_charge_constant    [C]    (charge of a proton and > 0; -1 times charge of an electron)   
physics__fine_structure_constant     [1]            (about 1/137.035999074)
physics__first_radiation_constant   [W m2]   (for a black body)
physics__gravitational_coupling_constant     [1]        (about 1.7518e-45)
physics__hartree_energy_constant     [J]
physics__ideal_gas_constant          [J mol-1 K-1]   (R = 8.3144621)
physics__planck_constant             [J s]  (h = 6.62606957e-34)
physics__planck_charge_constant [C]  (about 1.875545956e-18)
physics__planck_length_constant [m]    (about 1.616199e-35)
physics__planck_mass_constant    [kg]  (about 2.17651e-8)
physics__planck_temperature_constant [K]  (about 1.416833e+32)
physics__planck_time_constant  [s]  (about 5.39106e-44)
physics__reduced_planck_constant
physics__rydberg_constant            [m-1]
physics__second_radiation_constant  [m K]   (for a black body)
physics__stefan_boltzmann_constant   [W m-2 K-4]
physics__universal_gravitation_constant   [m3 kg-1 s-2]  ("big G", from Newton's law; or just "gravitational_constant")
physics__vacuum_electric_permittivity_constant   [F/m]  (also called "electric constant")
physics__vacuum_impedance_constant   [ohms]   (about 376.73031)
physics__vacuum_light_speed_constant        [m s-1]     (put "vacuum" in the object part ??)  ##########
physics__vacuum_magnetic_permeability_constant  [N A-2] or [H m-1]   (also called "magnetic constant")
physics__von_karman_constant         [1]
  • If there is no naturally-associated object, the object name "physics" can be used as a placeholder object name. In some cases we could use "universe" or "vacuum" as the object name.
  • Although "latent heat of fusion" and "latent heat of vaporization" are constants for a given substance (e.g. water), they have the following CSDMS standard names:
 water__mass-specific_latent_fusion_heat          (334 [kJ kg-1])
 water__mass-specific_latent_vaporization_heat    (2500 [kJ kg-1])
Note that "specific_latent_heat" is a quantity name so the quantity name part of these examples conforms to the Process_name + Quantity Pattern. See the template for Heat and Latent heat.
  • The modern name for "Avogadro's number" is the "avogadro_constant". (See Avogadro constant.) It has units and is equal to: 6.02214129(27)x10^{23} [mol-1] or [unit mol-1]
  • The speed of light depends on the medium it is traveling through. In a vacuum, v = c = 299,792,458 [m s-1]. In other materials, v = (c / n), where n > 1 is the refraction index. For visible light in air, n is about 1.0003. So an unambiguous standard name should indicate the medium and the wavelength range in the object name. Since the medium that the light is traveling through matters, we use the Object-in-object Quantity Pattern to create standard names such as: "visible_light_in_air_speed".
  • The speed of light in a vacuum is a constant that is independent of wavelength. Perhaps we should give it the standard name "light_in_vacuum_speed_constant" which follows the Object-in-object Quantity Pattern.
  • The "universal gravitational constant' appears in Newton's Law of Gravitation and is denoted as G (big G). It has units of [m3 kg-1 s-2]. The "Earth gravitational constant" is more correctly called the "Earth standard gravity constant". It is the average free-fall acceleration of Earth's gravitational field near the surface of the Earth and is denoted as g (little g). Even though it varies with position on Earth, it is defined to be precisely 9.80665 [m s-2] (an average value). See: Standard gravity and Gravity of Earth.
  • While the coefficient in Hooke's law is often called the spring constant, we instead use 'spring~steel__hooke_law_coefficient for consistency with coefficients in other empirical laws.
  • In meteorology, the ratio of the ideal gas constant, R, and the isobaric mass-specific heat capacity, cp, is called the Poisson constant. It is used in the definition of potential temperature.


Content

  base_quantity = "content"
  Examples of Specific Quantities:
  "energy-per-area_cold_content"
  "energy_content"
  "mass_content"
  "volume_content"

  Examples

coal__thermal_energy_content
gasoline__thermal_energy_content
snowpack__energy-per-area_cold_content  ?   (See Note below.)
wood~dry__thermal_energy_content  
  • The word "content" refers to the "amount contained within". It is therefore naturally associated with two objects and the Object-in-object Quantity Pattern.
  • In the CF Standard Names, the term "content" is taken to mean an "amount per unit area", usually determined as a z-integral from the bottom to the top of the atmosphere of a mass or volume fraction. (e.g. CF has "soil_moisture_content", "soil_moisture_content_at_field_capacity" and "soil_carbon_content".) However, in other contexts it means an amount per unit volume, as in the term "water_content" from infiltration theory, which is a volume fraction. See Water Content.
  • While soil "water content" is a fairly standard term in hydrology (infiltration theory), the CSDMS Standard Names use "volume_fraction" instead since it is less ambiguous, provides the definition, applies equally well to other objects like clay and sand, and keeps the word "water" in the object part of the name. See Attributes of Soil at CSDMS Standard Name Examples. However, it might be better to retain the word "content" for easy recognition (since "water content" is so widely used, and then use "volume_content" and "mass_content" instead of "volume_fraction" and "mass_fraction". Sometimes the terms gravimetric water content and volumetric water content are also used.
  • The quantity "thermal_energy_content" is used in the context of fuels like coal, gas and wood, to indicate the amount of useful energy that can be extracted.
  • The quantity "cold_content" is used in snow hydrology to describe the "energy deficit" that must be overcome before melting starts to occur. It is expressed as energy per unit area [J m-2]. This deficit results in an observed time lag between when the temperature is raised above the melting point to when snow actually begins to melt. It involves the concept of "latent heat of fusion" -- the (originally mysterious) amount of heat energy that must be added to a solid material before there is any change in its temperature. (See: Latent heat. In the CF Standard Names, the term "thermal_energy_content_of_surface_snow" is used, apparently to mean "cold_content". However, a Google search on "thermal energy content of snow" only returns 2 hits, and these are from the CF names. Note that "cold_content" is negative and "thermal_energy_content" is typically positive.
  • Many CF Standard Names contain the base quantity "content". The following list shows the number, in parentheses, or each use pattern:
carbon_content [kg m-2]   (14)
energy_content [J m-2]  (25)  e.g. "thermal_energy_content_of_surface_snow"
enthalpy_content [**********] (4)
heat_content [J m-2]  (2)
ice_content [kg m-2]  (2)
mass_content [kg m-2]   (235)
moisture_content [kg m-2] or [m]  (6)
number_content [m-2]  (7)
ozone_content [Pa] or [m]  (2)
soot_content [kg m-2]  (1)
sulfate_content [kg m-2]  (1)
vapor_content [kg m-2] (14)   (most are "tendencies")
water_content [kg m-2]  (16)
We may therefore have a conflict with "water_content" unless it is resolved by the object part.


Coordinate

  base_quantity = "coordinate"

  Examples

alongshore_coordinate (oriented along and based on a shoreline; similar to sigma coordinates)
cross-shore_coordinate (off-shore and on-shore directions)
 
cross-stream_coordinate (oriented along and based on a stream centerline)
streamwise_coordinate   (upstream and downstream directions)
 
east_coordinate  (for a model; if not same as longitude)
west_coordinate
north_coordinate (for a model;  if not same as latitude)
south_coordinate

r_coordinate    (Cylindrical and Spherical coordinates, with azimuth_angle and elevation_angle)
 
u_coordinate   (e.g. orthogonal curvilinear coordinate systems)
v_coordinate    (e.g. orthogonal curvilinear coordinate systems)
 
x_coordinate   (Cartesian coordinates)
y_coordinate   (Cartesian coordinates)
z_coordinate   (Cartesian coordinates)
  • Note that Geographic coordinates use latitude (north-south coordinate), longitude (east-west coordinate) and elevation (vertical coordinate). These are treated as standard base quantity names in the CSDMS Standard Names. See: Geographic coordinates.
  • For spherical coordinates, we would usually use "azimuth_angle" and "elevation_angle" instead of "theta_coordinate" and "phi_coordinate". But perhaps the latter should also be allowed.
  • The terms "normal_coordinate" and "tangential_coordinate" are also used in some contexts.
  • See the section for Components above, where the same prefixes are used. In fact, instead of using "coordinate" as a base quantity, it would be possible to use "position", which is a vector quantity, similar to velocity. Then we could use "x_component_of_position" instead of "x_coordinate", etc. just as we use "x_component_of_velocity". Note that while the components of a position vector are called "coordinates", there is no similar, short term for the components of a velocity vector.


Correlation

  base_quantity = "correlation"

  Examples

(None yet)
  • Note that correlations require two quantities to be specified, which is similar to certain other quantities such as Partial Pressure and Solubility.
  • Although the Guidelines for Constructing CF Standard Names includes a provision for correlations as the transformation pattern: "correlation_of_X-and-Y_over_Z", there are currently no examples of CF Standard Names that contain "correlation". The same is true for "covariance" and "convergence". There are only three names with "divergence".


Count

  base_quantity = "count"
  Examples of Related Quantities:
  "number_concentration" (count per volume)

  Examples

basin_rain-gauge__count
human_blood_cell~platelet__number_concentration   [count / microliter]
human_blood_cell~red__number_concentration
human_blood_cell~white__number_concentration
lake_water_fish_sample__count
mars_moon__count
model_grid_column__count
  • This quantity name is sometimes used when the attribute being quantified can only take non-negative integer values, as in the examples above. The word "count" is preferable to "number", since a "number" doesn't need to be an integer and is used as a root quantity for dimensionless numbers (e.g. Reynold's number). However, "count concentration" is not typically used, so we use "number concentration" in that case.
  • In the case of blood cell counts, the units are usually a number per volume (e.g. number per microliter). See: Blood cell count. Once units are specified (e.g. in a Model Coupling Metadata (MCM) file), then "number_concentration" is unambiguous. Is a platelet technically considered to be a type of blood cell?
  • The "Wolman pebble count" due to M. Gordon "Reds" Wolman is sometimes used in river hydraulics and sediment transport. However, the goal of this procedure is to estimate the mean diameter of the pebbles on the stream bed, so the actual "count" (usually 100) is not of primary interest.
  • The "diatom count" of a sample may be another example; are the units then the same as "abundance"? (e.g. "sediment_core_diatom_relative_abundance" ?)
  • The number of occurrences of a given event may also be called a "count". (e.g. Geiger counters)


Current

  base_quantity = "current"
  Examples of Specific Quantities:
  "electrical_current"

  Examples

None yet.
  • An electric current is a flow of charge, with an SI unit of "amperes" (i.e. "coulombs per second").


Curvature

  base_quantity = "curvature"
  Examples of Specific Quantities:
  "gaussian_curvature"
  "mean_curvature"
  "max_normal_curvature" (a principle curvature)
  "min_normal_curvature" (a principle curvature)
  "plan_curvature"
  "profile_curvature"
  "streamline_curvature"
  "tangential_curvature"

  Examples

land_surface__plan_curvature
land_surface__profile_curvature
  • Curvatures can be defined for surfaces that are twice-differentiable. In reality, natural surfaces are rough but they can be approximated as twice-differentiable surfaces.
  • Plan curvature (or "contour curvature"), profile curvature and streamline curvature are used in geomorphometry, the analysis of land surfaces or topography.
  • See Attributes of Topography and Attributes of Oceans on the Examples page.
  • Curvature can also be defined for curves, such as coastline curves and space curves (or trajectories).


Density

  base_quantity = "density"
  Examples of Specific Quantities:
  "bits-per-area_density"
  "bulk_mass-per-volume_density"
  "charge-per-area_density"
  "current-per-area_density" [A m-2] (known as "current density")
  "energy-per-area_density" [J m-2]
  "energy-per-volume_density" [J m-3]
  "length-per-area_density" [m-1]
  "mass-per-area_density" [kg m-2]
  "mass-per-volume_density" [kg m-3]
  "number-per-area_density" [m-2]
  "number-per-volume_density" [m-3]
  "particle_mass-per-volume_density"
  "power-per-length_density" [W m-1] (used for ocean wave crests)
  "power-per-area_density" [W m-2] (known as "surface power density")
  "power-per-volume_density" [W m-3]
  "torque-per-volume_density" [N m / m-3] = [N m-2]

  Examples

atmosphere_air__mass-per-volume_density
atmosphere_air__mass-per-volume_density  (stp = standard temperature and pressure)
basin_channels__total-length-per-area_density   (known as "drainage_density")
universe~friedmann__critical_h-atom-per_volume_density
sea_water__mass-per-volume_density
  • The word density usually refers to the amount of something within a fixed amount of space. The "amount of space" could be 1D (line), 2D (area) or 3D (volume). For greater clarity (and to avoid ambiguity), standard quantity names like mass-per-volume_density and the others listed above are used in the CSDMS Standard Names. Similar issues occur for Concentration (see section by that name). Also see the section for Flux.
  • The quantity name Bulk density refers to the mass of many particles (e.g. sediment grains) divided by the volume that they occupy. For clarity, here we use "bulk_mass-per-volume_density".
  • Column density is a type of area density defined as the z integral of a volume fraction from the bottom to the top of a column of water or air, as in the ocean or atmosphere. In the CF names, the quantity name "content" is used for this concept. In the context of sediment plumes, the quantity name "sediment inventory" is used for this concept (a z-integral over the depth of a freshwater plume entering the sea).
  • Physicists sometimes use the term "flux_density".
  • Hydrologists use the term "drainage_density", which is defined as the total length of channels in a drainage basin divided by the drainage area. Generic units are therefore inverse length. Similarly, "source_density" can refer to the total number of sources (i.e. channel heads) in a basin divided by the drainage area.
  • Other valid quantities include "current_density", "electron_density" (in plasma physics), "thermal_energy_density" and "magnetic_energy_density".


Depth

  base_quantity = "depth"
  Examples of Specific Quantities:
  "secchi_depth"

  Examples

channel_water__mean_depth
sea_water__secchi_depth
sea_water_below-surface__depth
sea_water_bottom__depth
soil_sat-zone_top__depth    ##### (or if not soil, land_subsurface_sat-zone_top__depth).
  • Measured as a positive downward distance below a reference surface. In this sense, it is the opposite of "height" which is measured positive upward from a reference surface.
  • CF Standard Names often use "thickness" instead of "depth". See the template for Thickness.
  • The words "depth" and "thickness" are sometimes used interchangeably. In the context of "layers", "thickness" is usually used (e.g. in meteorology, geology and hydrogeology). In the context of surface water or snow, "depth" is usually used. (As in: "How deep is the lake?" or "The lake depth is 5 meters.") The word "depth" indicates a value that is positive downward from some reference datum, and which may take values less than some maximum possible value.
  • Note that "secchi_depth" is a standard term that measures turbidity using a "visible depth". See: Secchi disk.
  • While the term "precipitable_water_content" is commonly used, its units of length are not really consistent with the base quantity "content". The terms "precipitable water depth" and "precipitable depth of water vapor" are also used and imply units of length, but not all of the water can actually "precipitate". An unambiguous and currently-used standard name for this quantity is: "atmosphere_water~vapor" + "z_integral_from_bottom-to-top_of_volume_fraction".
  • See Altitude, Elevation, Height and Thickness.


Diameter

  base_quantity = "diameter"

  Examples

basin_channel-network_graph__diameter
graph~tree~rooted__diameter
tree~oak~bluejack_trunk__diameter
impact-crater_circle__diameter      (see Object_name + model_name Pattern)
square__diameter
  • This quantity usually has units of length (except for rooted tree graphs).
  • Although often associated with a circle, the general definition of diameter is the maximum distance (for some metric) between any two points in a set. So any bounded geometric shape (e.g. a square or any polygon) has a well-defined diameter, as does any bounded set of points. Note that the diameter of a bounded set is the same as the diameter of its convex hull. In graph theory, the diameter of a rooted tree graph is the maximum number of edges between the root and any leaf. River networks have a well-defined diameter (though topological vs. geometrical) since they can be viewed as rooted tree graphs (rooted at the outlet).
  • See Perimeter.


Diffusivity

  base_quantity = "diffusivity"
  Examples of Specific Quantities:
  "magnetic_diffusivity" [m2 s-1]
  "mass_diffusivity" [m2 s-1]
  "momentum_diffusivity" [m2 s-1] (nickname for kinematic_viscosity)
  "thermal_diffusivity" [m2 s-1]

  • It appears that the units are always [m2 s-1].
  • "thermal_diffusivity" seems preferable to "heat_diffusivity"
  • Common adjectives are: biharmonic, laplacian, epineutral, etc.
  • The term "eddy diffusivity" is sometimes used as a synonym for the "eddy diffusion coefficient", usually denoted as "K". See: Eddy diffusion.


Dimension

  base_quantity = "dimension"
  Examples of Specific Quantities:
  "box_counting_dimension"
  "hausdorff_dimension"

  Examples

cantor-set__hausdorff_dimension
peano-curve__hausdorff_dimension
sierpinski-gasket__hausdorff_dimension
  • This quantity is usually used in connection with fractals and it can be measured (usually using the box-counting dimension) for many objects in nature.


Dimensionless Numbers

  [ famous person's name ] + "_number"

  Examples

air_helium-plume__richardson_number
airplane__mach_number
channel_water_flow__froude_number
channel_water_flow__reynolds_number
equation~heat__courant_number   #### (insert "model" ??)
ship__froude_number
  • Dimensionless numbers are widely used in physics and typically obtained as the ratio of two quantities that have the same units. For example, Reynolds number gives the ratio of inertial and viscous forces in a flow problem, and flows transition from laminar to turbulent as the Reynolds number increases.
  • Some names, like "Reynolds", end in "s", but a possessive "s" is not added at the end. See the CSDMS Standard Name Basic Rules.
  • The modern name for "Avogadro's number" is the "Avogadro constant" and it is not dimensionless.
  • See the Attributes of Atoms and Number templates for terms like "proton_number".
  • See the Number template for more information.


Discharge or Volume Flow Rate

  "volume_flow_rate"
  Examples of Specific Quantities:
 
  Examples

channel_water_x-section__volume_flow_rate [m3 s-1]
lake_water~incoming__volume_flow_rate [m3 s-1]
lake_water~outgoing__volume_flow_rate [m3 s-1]
  • The term "discharge" is used primarily by hydrologists and is commonly denoted as "Q". The term "volume_flow_rate" is more broadly understood.
  • The term "discharge" has the connotation of something leaving a domain, so additional clarification is generally needed to indicate whether the volume flow rate is into or out of a given domain (e.g. with "incoming" or "outgoing"). This is now done in the object part of the name, by using either "water~incoming" or "water~outgoing".
  • Hydrologists also use "unit_width_discharge" (discharge per unit contour width) in the context of surface flows. It is usually denoted by lower-case "q" and has SI units of [m2 s-1]. Note that "depth-integrated velocity" is a synonym for unit-width discharge, and in CSN this 2D vector field is called "z_integral_of_velocity". Note that the "lateral inflow rate" to the sides of a channel is given by: "channel_bank_water" + "volume-per-length_flow_rate".
  • A "volume_flux" has units of [m3 m-2 s-1] = [m s-1], as in Darcy's Law. Discharge is then the integral of a volume flux over the cross-sectional area of a channel or pipe. See the Flux template.
  • Avoid "streamflow" and "outflow" as synonyms for "discharge" or else define them to be aliases.
  • If a "sediment discharge" quantity has units of [mass / time], then it should be called something like "channel_water_sediment~suspended" + "mass_flow_rate" instead of "channel_water_sediment~suspended" + "volume_flow_rate", since discharge has units of [volume / time].
  • See the Flow Rate template.


Distance

  base_quantity = "distance"
  Examples of Specific Quantities:
  "average_distance"
  "separation_distance"

  Examples

channel_centerline_endpoints__separation_distance 
earth-to-sun__average_distance
  • This quantity seems to require specifying two objects, just as solubility, partial_pressure and volume_fraction do. In the latter cases the special keyword "_in_" was introduced. Here the reserved word "-to-" and the pattern: (object + "-to-" + object + distance) is used in a similar way. The keyword "-to-" can also be used for ratios. See "Ratios".
  • We could introduce "straight_distance" as a synonym for euclidean_distance or just use the latter term. Or perhaps use "euclidean_length" instead?


Duration

  base_quantity = "duration"
  Examples of Specific Quantities:
  [process name] + "_duration" (e.g. exposure_duration, precipitation_duration)

  Examples

aircraft__flight_duration
atmosphere_water__precipitation_duration  (vs. "rainfall duration")
earth_day~sidereal__duration
earth_day~solar-mean__duration
earth_day~stellar__duration
land_surface__sunshine_duration       (or "daylight_duration")
water_scuba-diver__dive_duration
  • Used to indicate a time period.
  • See the Precipitation section.


Efficiency

  base_quantity = "efficiency"
  Examples of Specific Quantities:
  "electrical_efficiency"
  "luminous_efficiency"
  "mechanical_efficiency"
  "thermal_efficiency"

  Examples

engine__thermal_efficiency
  • Efficiency is usually expressed as a ratio of what is achieved to the max possible (or ideal) value and is therefore a dimensionless number.


Elevation

  base_quantity = "elevation"

  Examples

bedrock_surface__elevation
land_subsurface_sat-zone_top__elevation   (vs. ground_water-table_surface)  ####
land_surface__elevation
sea_water_surface__elevation
  • There is a subtle but important difference between the quantities "altitude" and "elevation". The word altitude refers to the distance of an object (e.g. aircraft, air parcel or balloon) above the ground, regardless of the local elevation of the land surface. The word elevation refers to the distance of an object (typically a land surface) above a datum, such as the mean sea level datum. Elevation is one of the three Geographic coordinates used to specify a 3D location (i.e. elevation, latitude and longitude).
  • See the quantity templates for Altitude, Depth, Height, Thickness.
  • See the object template for Surface. Elevation is one of many attributes that can be associated with a surface.
  • See Reference Quantities.


Emissivity

  base_quantity = "emissivity"

  Examples

land_surface__emissivity
  • Emissivity is a measure of the effectiveness of a surface in emitting energy as thermal radiation (also called "longwave radiation"). It is defined as the (dimensionless) ratio of the thermal radiation emitted by a surface/object and the thermal radiation that would be emitted by an ideal black body surface at the same temperature.
  • Emissivity values are dimensionless and range between 0 and 1.


Emittance

  base_quantity = "emittance"

  Examples

land_surface_radiation~incoming~longwave__emittance
  • Emittance is the energy flux emitted by a source, and has SI units of [W m-2] or [J m-2 s-1].


Energy

  base_quantity = "energy"
  Examples of Specific Quantities:
  "electric_energy"
  "free_energy"
  "internal_energy"
  "kinetic_energy"
  "potential_energy"
  "thermal_energy"

  Examples

projectile__potential_energy
water__gibbs_free_energy
  • The SI unit for energy is Joules.
  • Specific energy is energy per unit volume or mass. Add the prefix mass-specific, mole-specific or volume-specific for clarity.
  • Some possible forms of energy are thermal, chemical, radiant, nuclear, magnetic, elastic sound, mechanical, luminous and mass. See Energy.


Enthalpy

  base_quantity = "enthalpy"
 
  Examples of Specific Quantities:
  "atomization_enthalpy"
  "combustion_enthalpy"
  "denaturation_enthalpy"
  "dissolution_enthalpy" (also called "enthalpy of solution")
  "formation_enthalpy"
  "fusion_enthalpy"
  "hydration_enthalpy"
  "hydrogenation_enthalpy"
  "mass-specific_enthalpy"
  "mixing_enthalpy"
  "reaction_enthalpy"
  "sublimation_enthalpy"
  "vaporization_enthalpy"

  Examples

  • Enthalpy is defined as the "thermodynamic potential", computed as H = U + pV, where U = internal energy, p = pressure and V = volume. It has SI units of Joules.
  • Add the prefix "mole-specific" to a quantity like "combustion_enthalpy" when the units are Joules per mole.


Exponent

  base_quantity = "exponent"

  Examples

basin__flint_law_exponent
basin_channel~longest__hack_law_exponent
channel_water_sediment~suspended__volume_flow_rate_law_area_exponent
glacier__glen_law_exponent
  • Exponents often occur in empirical laws.
  • See Coefficient, Constant, Factor, Index, Number and Parameter.


Factor

  base_quantity = "factor"

  Examples

oscillator__q_factor
pipe_water_flow__darcy_friction_factor  (same as moody_friction_factor)
pipe_water_flow__fanning_friction_factor
sun-lotion_skin__protection_factor  (known as SPF)
wave~sine__crest_factor
  • Use "manning_n_parameter" instead of "manning_friction_factor".
  • Many different types of Shape factor are used in image analysis, such as the "circularity_shape_factor", "elongation_shape_factor", "compactness_shape_factor" and "waviness_shape_factor".
  • Another type of shape factor is given by the square root of area divided by the shape's diameter (max distance between any 2 boundary points.).
  • A model may use an "adjustment_factor", "correction_factor" or "compensation_factor".
  • See Coefficient, Constant, Exponent, Index, Number and Parameter.


Flag

  base_quantity = "flag"

  Examples

model__**_option_flag
  • We may want to allow "flag" as a quantity since many models provide options as boolean values known as "flags". It isn't clear yet, however, how these would be shared between models or what the object_name would be.

Flow Rate

  base_quantity = "flow_rate"
  Examples of Specific Quantities:
  "mass_flow_rate"
  "momentum_flow_rate"
  "energy_flow_rate"
  "volume_flow_rate"
  "mole_flow_rate"

  Examples

channel_entrance_water_x-section__volume_flow_rate
channel_exit_water_x-section_sediment~suspended__mass_flow_rate
lake_water~incoming__volume_flow_rate
  • The quantity name "flow_rate" can be ambiguous in the context of a fluid that can either flow into or out of the object in the object part of the name. In such cases, the process names "inflow" and "outflow" can be used instead of "flow" and are viewed relative to the object. While "discharge" is commonly used as a quantity name in hydrology, it connotes a volume outflow rate and sounds strange when used to refer to a volume inflow.
  • The base quantity "rate" implies that units of inverse time are added to the units of the quantity that is being transported. For example, in SI units we have:
mass_flow_rate       [ kg s-1 ]
momentum_flow_rate   [ kg m s-2 ]
energy_flow_rate     [ J s-1 ] = [ W ]
volume_flow_rate     [ m3 s-1 ]
mole_flow_rate       [ mol s-1 ]
  • "Energy flow rate" is also known as "power". See: Power.
  • See the templates for Discharge, Flux and Rate of a Process.


Flux

  base_quantity = "flux"
  Examples of Specific Quantities:
  "mass_flux"
  "momentum_flux"
  "energy_flux"
  "volume_flux"
  "mole_flux" (perhaps this should be "number_flux" to be independent of units.)
  process_name + "_flux"   (e.g. "radiation_flux")

  Examples

land_surface_radiation~outgoing~longwave__energy_flux       (emitted and upward)
land_surface_radiation~incoming~longwave__energy_flux       (incident and downward)

  • In the context of "transport phenomena", the definition of "flux" is flow rate per unit area. In addition to the phrase "per unit area", this definition includes the word rate which implies per unit time. So the base quantity "flux" implies that units of [m-2 s-1] are added to the units of the quantity that is being transported. For example, in SI units we have:
mass_flux        [ kg m-2 s-1 ]
momentum_flux    [ kg m s-1 m-2 s-1 ]  = [ kg m-1 s-2 ] = [ Pa ]      (force per unit area, same units as "pressure")
energy_flux      [ W m-2 ] = [ J m-2 s-1 ]
volume_flux      [ m s-1]  = [ m3 m-2 s-1 ]
mole_flux        [ mol m-2 s-1 ]
  • "Flux" can also be understood as "surface bombardment rate".
  • "Flow rate" is the total amount of the transported quantity per unit time, or the product of an area and a flux. Replacing "flux" with "flow_rate" in a quantity name results in a different, but also valid quantity.
  • The examples above show how the object name can be either a surface or a medium. Either type of object can potentially "absorb", "emit", "reflect" or "transmit" a flux.
  • An energy flux emitted by an object is a quantity called outgoing_radiation_flux (positive if outgoing). An energy flux that is received by or incident on an object is a quantity called incoming_radiation_flux (positive if incoming). That is, the sun "radiates" energy and the earth is "irradiated" by this energy. This distinction means that "incident_radiation" serves as a synonym for "irradiation" and "emitted_radiation" as a synonym for "radiation". Some objects, like a land surface, can radiate longwave energy or be irradiated by longwave energy. In such cases, the term "outgoing_radiation_flux" establishes a sign convention that "outgoing is positive". Similarly, "incoming_radiation_flux" implies "incoming is positive". Process names often occur in pairs that indicate "incoming" or "outgoing", such as "emigration" and "immigration" or "exporting" and "importing". Note that a process name, like "radiation" represents an action that applies to the object in the object name part.
  • The shortwave radiation incident on the land surface is typically modeled as the sum of three components, called direct, diffuse and backscattered. Only the "direct" component (radiation from the sun, transmitted directly through the atmosphere to the surface) is dependent on topographic slope and aspect. The other two are emitted (via reflections from aerosols) isotropically by the atmosphere so they appear to be arriving from a direction that is parallel to the local surface normal. For the "direct" component, an extra adjective like "slope_corrected" may be needed. See: Earth's radiation balance.
  • A process name frequently precedes the base quantity "flux" in accordance with the Process_name + Quantity Pattern. Examples include "evaporation_volume_flux", "precipitation_mass_flux".
  • It turns out that stress and momentum flux both have the same units of Pascals (or N m-2, or kg m-1 s-2). When a fluid exerts a shear stress on a boundary, this results in a momentum flux into the boundary and this loss of momentum slows the flow.
  • What about "luminous flux" (for visible light)? See: Luminous flux.
  • "Discharge" is a volume flow rate and not a flux. See Discharge.
  • "momentum_diffusivity" [m2 s-1] is a nickname for kinematic_viscosity
  • In the CF Standard Names, "flux" may be preceded by the words:
    mass, momentum,
    energy, heat, longwave, shortwave, radiative,
    water, vapor, evaporation,
    palm, photon, mole, salt
    Units are [W m-2] for the "energy fluxes" such as: "heat", "longwave", "shortwave" and "radiative". In addition, "shortwave_radiation" is abbreviated to "shortwave".
  • See the templates for Concentration, Discharge and Flow Rate.


Force

  base_quantity = "force"
  quantity = "braking_force"
  quantity = "drag_force"
  quantity = "impact_force"
  quantity = "lift_force"

  Examples

automobile__braking_force
  • A force may be thought of as a push or a pull exerted on an object and has SI units of Newtons. Note that "weight" is also a force.


Fraction

  quantity_suffix = "fraction"
  Examples of Specific Quantities:
  "area_fraction"
  "mass_fraction"
  "mole_fraction"
  "time_fraction"
  "volume_fraction"

  Examples

basin_land~forested__area_fraction
basin_land~grassland__area_fraction
  
earth_surface_land__area_fraction
earth_surface_water__area_fraction
 # surface of a 3D region vs. mathematical surface
 
region_state_land~agricultural__area_fraction
region_state_land~arable__area_fraction
region_state_land~burned__area_fraction
region_state_land~cloud-covered__area_fraction
region_state_land~commercial__area_fraction
region_state_land~dry__area_fraction
region_state_land~farmed__area_fraction
region_state_land~flooded__area_fraction
region_state_land~flooded__max_of_depth   ####
region_state_land~forested__area_fraction
region_state_land~grassland__area_fraction
region_state_land~grazing__area_fraction
region_state_land~ice-covered__area_fraction
region_state_land~irrigated__area_fraction
region_state_land~lake-covered__area_fraction
region_state_land~water-covered__area_fraction
region_state_land~parkland__area_fraction
region_state_land~private__area_fraction
region_state_land~public__area_fraction
region_state_land~residential__area_fraction
region_state_land~snow-covered__area_fraction
region_state_land~urban__area_fraction
region_state_land~vegetated__area_fraction
region_state_land~wetland_fraction
 
rocket_payload__mass_fraction
rocket_propellant__mass_fraction  (See: Propellant mass fraction.)
    
sea_water_oxygen__volume_fraction
   
soil_air__volume_fraction     (Object-in-Object Pattern)
soil_clay__volume_fraction
soil_ice__volume_fraction
soil_loam__volume_fraction
soil_sand__volume_fraction
soil_silt__volume_fraction
soil_water__volume_fraction    (instead of "soil" + "water_content")  #####

  • The word "fraction" can be viewed as a "quantity suffix" (as defined at the top) that can be applied to any base quantity (e.g. area, mass, mole, time, volume) to create a new quantity. In most (if not all) cases it is dimensionless.
  • In order for "area_fraction" and "volume_fraction" to be well-defined, the object part of the name should ideally refer to a 2D or 3D shape (e.g. polygon or polytope) for which the area or volume can be computed. (e.g. for 2D, a state or a drainage basin)
  • If an "area fraction" variable name is used with gridded data, then the "area_fraction" applies to the area of the grid cell. If the area fraction applies to some specific domain or object, such as a U.S. state or a drainage basin, then constructions like: "basin_land~forested + area_fraction" can be used and conform to the Part of Another Object Pattern.
  • The quantity area_fraction is often used in connection with the fraction of land (in map or plan view) that meets some criteria. Adjectives like "burned", "forested", "public" and "urban" can be used to define the criteria as shown in the examples. As of 7/23/14, hyphenated adjectives like "snow-covered" are allowed.
  • If an "area fraction" variable name is meant to distinguish between two possible states, such as land and water, then a reserved word like "vs" (or "to") could be used in a construction like: "land-vs-water + area_fraction".
  • Variable names with "volume fraction" usually use the Object-in-object Quantity Pattern as in the examples.
  • In the CF Standard Names, "fraction" is used in 306 names to form the following 5 quantities where the number of occurrences is indicated in parentheses:
area_fraction (19)
mass_fraction (179)
mole_fraction (95)
time_fraction (2)
volume_fraction (11)
The ones for "volume_fraction" fall into 5 groups:
ocean_volume_fraction
volume_fraction_of_oxygen_in_sea_water
volume_fraction_of_[clay, silt or sand]_in_soil
volume_fraction_of_condensed_water_in_soil + [assumptions]
volume_fraction_of_frozen_water_in_soil 
Hydrologists typically use the shorter term "soil_water_content" instead of "volume_fraction_of_condensed_water_in_soil". However, using "soil_water~condensed + volume_fraction" instead is consistent with the Object-in-object Quantity Pattern.


Frequency

  base_quantity = "frequency" [1/second] (but the meaning is "cycles per second")

  Examples of Specific Quantities:
  "angular_frequency" [radians/second]
  "nyquist_frequency" [1/second]

  Examples

cesium_atom__characteristic_emission_frequency
sea_water__brunt_vaisala_frequency   (also called "buoyancy_frequency")
sea_surface_water_wave__frequency
  • Units of frequency are usually hertz = [1/second].
  • Note that the word "frequency" alone means temporal frequency and "wavenumber" means spatial frequency. Note that "angular_frequency" is distinct from "frequency" and "angular_wavenumber" is distinct from "wavenumber", but they are closely related quantities.
  • For periodic waves, the frequency is equal to the phase velocity divided by the wavelength. See the Period and Wavelength templates.


Friction

  • Friction is not a quantity and is really a force as opposed to a process. It is not included in this list of CSDMS Process Names because it doesn't fit the general verb-to-noun process name pattern explained on that page. The word "traction" has similar issues.
  • The adjective "frictional" is used in terms like "frictional_momentum_loss_rate". But the net loss of momentum (per unit time and per unit area) due to friction in a fluid is equivalent to the shear stress. Note that both have units [M L T-2]. See the template for Stress.
  • Some quantities associated with friction are:
kinetic_friction_coefficient   (See the Coefficient template.)
log_law_roughness_length   ("z0" for law of the wall)
manning_n_parameter
shear_stress   (See the Stress template.)
static_friction_coefficient
  • A Google search indicates that "friction_rate" is sometimes used in connection with air ducts.


Fuel Efficiency

  Examples of Specific Quantities:
  "consumption_rate" ["gallons per mile" or "liters per km"] (of fuel)
  "fuel-economy" ["miles per gallon" or "km per liter"]
  "mass-specific_energy_content" [Joules / kg]

  Examples

automobile_fuel__consumption_rate
automobile__fuel-economy
automobile_fuel__mass-specific_energy_content 
  • In everyday language, the term "miles_per_gallon" is often used as if it were a quantity name but it is really a units name. "mileage" has various meanings and is not a well-defined quantity name.
  • energy_efficiency and energy_intensity are related quantities.
  • Efficiency of electric vehicles is often given as "cents_per_mile" which allows comparison to gas-powered vehicles.


Hardness

  base_quantity = "hardness"
  Examples of Specific Quantities:
  "indentation_hardness"
  "rebound_hardness"
  "scratch_hardness"

  Examples

snowpack_surface__indentation_hardness
  • Hardness is a function of many things and there are 3 main types of hardness measurements called indentation hardness, rebound hardness and scratch hardness.
  • The word hardness is also used in chemistry, in the context of "hard water". See: Carbonate hardness and Hard water. Permanent hardness is defined as Calcium hardness + Magnesium hardness, while temporary hardness is a synonym for Carbonate hardness. Water hardness can be measured as a molar concentration of calcium and magnesium ions, but several alternate units are used around the world and there are conversion factors between them.


Head

  base_quantity = "head"
  Examples of Specific Quantities:
  "friction_head"
  "hydraulic_head"
  "pressure_head"
  "velocity_head"

  Examples

pump__hydraulic_head
soil_water__pressure_head
  • Head is a quantity used in fluid dynamics (hydraulics) that relates the energy in an incompressible fluid to the an equivalent height in a column of fluid. It has units of length.
  • "Total hydraulic head" is the sum of the elevation head and pressure head.
  • The "hydraulic_gradient" is computed by taking differences or derivatives of head values and determines the direction of fluid flow.


Heat

  base_quantity = "heat"
  Examples of Specific Quantities:
  "mass-specific_fusion_latent_heat"
  "sensible_heat"

  Examples

water__mass-specific_latent_fusion_heat          (334 [kJ kg-1])
water__mass-specific_latent_sublimation_heat
water__mass-specific_latent_vaporization_heat    (2500 [kJ kg-1])
  • The quantity "heat" refers to "thermal energy" that is being transferred from one system to another by thermal interaction. It has SI units of Joules.
  • The word "specific" is often inserted as in "specific_latent_heat" and "specific_sensible_heat" to indicate thermal energy per unit mass [J kg-1].
  • While the "latent heat of fusion" and "latent heat of vaporization" are constants for a given substance (e.g. water), they don't use the Constant template but are treated as in the two examples above in accordance with the Process_name + Quantity Pattern. Note that "latent_heat" is a quantity name and "fusion" and "vaporization" are process names.
  • The quantities "advection_heat_flux", "conduction_heat_flux", "latent_heat_flux" and "sensible_heat_flux" are also used.
  • See Energy and Flux of Heat or Energy.


Height

  base_quantity = "height"
  Examples of Specific Quantities:
  "geopotential_height"
  "reference_height"

  Examples

building~empire-state__height
human__mean_height
tree~oak~bluejack__mean_height
  • See Reference Quantities.


Humidity and Relative Saturation

  base_quantity = "humidity"
  Examples of Specific Quantities:
  "absolute_humidity" (is "volumetric_humidity" a synonym ?)
  "relative_humidity"
  "relative_saturation"
  "specific_humidity"

  Examples

atmosphere_air_carbon-dioxide__relative_saturation   ## CHECK
atmosphere_air_water~vapor__relative_saturation  (instead of air_relative_humidity)
  • Relative humidity is a dimensionless ratio of partial pressures. It is defined as the ratio of the partial pressure of water vapor in the air-water mixture (often called the "vapor pressure") to the saturated vapor (partial) pressure of the water at a prescribed temperature.
  • The relative humidity is often known (measured) and empirical equations for computing saturated vapor pressure as a function of temperature have been given by both Brutsaert and Satterlund. From these, vapor pressure can be computed from the definition.
  • Relative humidity of air depends on both temperature and pressure.
  • The more general term for relative humidity (when not talking about water vapor in air) is relative_saturation. It is the ratio of the partial pressure to the saturated partial pressure of one (condensable phase) gas in another (non-condensable phase) gas mixture.


Impedance

  base_quantity = "impedance"
  Examples of Specific Quantities:
  "acoustic_impedance"
  "characteristic_acoustic_impedance"
  "characteristic_electrical_impedance"
  "electrical_impedance"
  "mechanical_impedance"
  "nominal_electrical_impedance"
  "specific_acoustic_impedance"
  "wave_impedance"

  Examples

None yet
  • Electrical impedance is a complex-valued quantity, where the real part is the familiar resistance (with SI unit "ohm") and the imaginary part is the less-familiar reactance.
  • Admittance is defined as the inverse of impedance, and is therefore also complex-valued. Its real part is called conductance (with SI unit "siemens") and its complex part is called: susceptance.


Impulse

  base_quantity = "impulse"
  Examples of Specific Quantities:
  "impact_impulse"

  Examples

baseball-bat_baseball__impact_impulse
  • An "impulse" quantifies the change in linear momentum that results from a force applied over a time interval. It has units of (force x time), and SI units of [N s].


Increment

  operation_prefix = "increment_of"

  Examples

atmosphere_air__increment_of_pressure
bedrock_surface__increment_of_elevation
land_surface__increment_of_elevation
  • This can be used for the change in a quantity that occurs over some time period, such as a model time step. Models often update state variables with each time step by an incremental amount and this amount may be the quantity of interest. Note that an increment can be positive or negative.
  • Before 3/19/13 this was treated as a quantity suffix but now it is treated as an "operation prefix". See Anomaly, Component, Limit, Magnitude, Ratio and Scale.
  • For an "increment_of_time", the quantity suffix "step" is usually used instead of "increment". See the Step and Time Step templates.


Index

  base_quantity = "index"

  Examples

atmosphere_air_radiation__standard_refraction_index
consumer__price_index
ecosystem__diversity_index
land_surface__topographic_wetness_index
model_grid_cell__column_index
model_grid_cell__row_index
__normalized_difference_vegetation_index   ################
__palmer_drought_index
  • The word "index" serves as a base quantity in the CSDMS Standard Names. It has two distinct meanings. One meaning of index is a subscript to an array, as used in "model_grid_cell__column_index" and "model_grid_cell__row_index" above. In this case, the index is a nonnegative integer. A second, and widely-used meaning for index is a composite statistic or measure. See the Wikipedia article: Index (statistics). Examples of this type include: Consumer Price Index, Normalized Difference Vegetation Index, Palmer Drought Index, Topographic Wetness Index and Urban Accessibility Index and others listed below.
  • Perhaps we should use the word subscript instead of index for the first meaning of index above.
  • In order to distinguish between many different indices of a certain type, such as a diversity index, the last name of the author who introduced a particular index (and also the publication year, if necessary) can be used as a prefix to disambiguate, as in shannon_diversity_index.
  • We use "refraction_index" instead of "refractive_index" in accordance with the Process_name + Quantity Pattern. See Attributes of Radiation for information on the "standard_refraction_index".
  • See Coefficient, Constant, Exponent, Factor, Number and Parameter.


Inertia

  base_quantity = "inertia"
  Examples of Specific Quantities:
  "rotational_inertia" [kg m2]
  "thermal_inertia" [J m-2 K-1 s-0.5]
  "translational_inertia" [kg] (sometimes used as a synonym for "mass")

  Examples

projectile__rotational_inertia
sea_water__thermal_inertia
  • The term inertia by itself refers to the degree to which an object resists changes to its translational motion, which depends only on its mass. The term "translational inertia" (a synonym for mass?) is sometimes used for clarity, especially since the concept of inertia lends its name to the quantity names "rotational inertia" (also called moment of inertia) and "thermal inertia".
  • The concept of inertia comes from Newton's first law of motion and can be stated as: "When viewed in an inertial reference frame, an object either remains at rest or continues to move at a constant velocity, unless acted on by an external force." It is often summarized with the adage: "Objects in motion tend to stay in motion. Objects at rest tend to stay at rest."
  • Rotational inertia is also called "moment of inertia" and is a measure of the resistance to an object to changes in its angular momentum.
  • The thermal inertia of a material is a measure of its resistance to changes in temperature. It is defined as the square root of the product of thermal conductivity, mass density and mass specific thermal capacity.
  • Thermal inertia is an "intensive property" since it involves mass specific thermal capacity.


Intensity

  base_quantity = "intensity"
  Examples of Specific Quantities:
  "luminous_intensity" (optics)
  "radiant_intensity" (optics)
  "sound_intensity" (or "acoustic_intensity")

  Examples

atmosphere_air_radiation~incoming~shortwave__energy_intensity   [ W m-2]  ############# energy_flux ??
  • Intensity is an overloaded term, but often means "power per unit area" and is therefore equivalent to an "energy flux".
  • It is not yet clear when (or if) the CSDMS Standard Names should use "intensity" instead of "energy_flux", which is more descriptive. See Flux.


Latitude

  base_quantity = "latitude"
  Examples of Specific Quantities:
  "authalic_latitude"
  "conformal_latitude"
  "geocentric_latitude"
  "geodetic_latitude"
  "isometric_latitude"
  "rectifying_latitude"
  "reduced_latitude"

  Examples

model_grid_cell_center__geodetic_latitude
model_grid_cell_edge~north__geodetic_latitude
model_grid_cell_edge~south__geodetic_latitude
model_grid_edge~north__geodetic_latitude
model_grid_edge~south__geodetic_latitude
  • For an ellipsoid (of the type used to model the shapes of planets), there are many different ways to define latitude, but really just one way to define longitude. This is because the longitude lines (meridians) trace out ellipses (of the same size and shape) while the latitude lines are circles (of different sizes). When unqualified, the word "latitude" usually refers to geodetic latitude. The other six types of latitude are called "auxiliary latitudes" and are used for special problems in geodesy. Full explanations of these different types of latitude are provided at the links below.
  • For a spheroid, the various definitions of latitude become the same. This is because the equatorial and polar radius are then the same, so the flattening, f, and eccentricity, e, are both zero. This can be checked by inserting e=0 into formulas for auxiliary latitudes.
  • Typical units for latitude are "decimal degrees".
  • This quantity is always relative to a particular (reference) ellipsoid model which should be specified using an <ellipsoid> tag in the Model Coupling Metadata (MCM) file. Similarly, <datum> and <projection> tags can be used. An <assume> tag should also be used to specify "geographic_coordinate_system".
  • Note: Should we use "geographic_grid" instead of just "grid" for the object name in the examples above?
  • See the sections for Coordinates and Longitude.


Limit

  operation_prefix = "limit_of"

  Examples

human__lower_limit_of_hearing_frequency     (Note:  hearing is a process name)
human__upper_limit_of_hearing_frequency
human_eye_photon__lower_limit_of_detection_number   (process_name + quantity)
star~neutron__tolman_oppenheimer_volkoff_limit_mass
star~white-dwarf__chandrasekhar_limit_mass
  • Before 3/19/13 this was treated as a quantity suffix, but now it is treated as an "operation prefix". See Anomaly, Component, Increment and Magnitude. A "limit" is not a quantity by itself, but is an operation that can be applied to virtually any quantity.
  • For clarity, it is often necessary to insert an adjective like "lower" or "upper" before the word "limit", as in the examples above.
  • Note that the two limits above named after people include the quantity name "limit_mass" instead of "limit_of_mass". There is also a related "Schwarzchild radius"; see the quantity template for Radius. It is not clear that "_limit" would ever be used by itself. See Point.
  • "cutoff" or "threshold" may sometimes be used similarly.


Longitude

  base_quantity = "longitude"

  Examples

model_grid_cell_center__longitude
model_grid_cell_edge~east__longitude
model_grid_cell_edge~west__longitude
model_grid_edge~east__longitude
model_grid_edge~west__longitude
  • While there are several different ways to define latitude for an ellipsoid, there is really just one way to define longitude, as explained in the Latitude section.
  • Since "center", "edge~east", "edge~west", etc. refer to parts of a cell, it is consistent with the use of similar words like "bottom" and "top" to include these in the object name part of the name (as of 7/23/14). Hyphens are used as shown here to clarify that "edge~east" is a single object or sub-object.
  • Typical units are "decimal degrees".
  • Typical units for longitude are "decimal degrees".
  • This quantity is always relative to a particular (reference) ellipsoid model which should be specified using an <ellipsoid> tag in the Model Coupling Metadata (MCM) file. Similarly, <datum> and <projection> tags can be used. An <assume> tag should also be used to specify "geographic_coordinate_system".
  • Note: Should we use "geographic_grid" instead of just "grid" for the object name in the examples above?
  • See the sections for Coordinates and Latitude.


Magnitude

  "magnitude_of_" + [vector quantity]

  Examples

sea_bottom_water__magnitude_of_shear_stress
sea_water__magnitude_of_vorticity
  • Magnitude is a general term in mathematics, used to indicate a scalar-valued "size" of something like a vector or complex number.
  • The quantity name "speed" should be used instead of "magnitude_of_velocity".
  • In the CF Standard Names, "magnitude_of_" is a transformation (used as a prefix to an entire name) that is used in about 5 names.


Mask

  base_quantity = "mask"

  Examples

land_mask
ocean_mask
  • In computer graphics and geographic information systems (GIS), the word "mask" is used to indicate a gridded (usually 2D or 3D) binary mask where two values (e.g. 0 and 1) are used to indicate whether or not a given feature or property is present in that grid cell. The term "data mask" is sometimes used to indicate that grid cells contain a data value if they are in the mask and a nodata value otherwise.
  • A mask is often associated with a threshold value of some other grid of data. For example, a "land mask" may be set to 1 for every grid cell with an elevation value greater than 0 and set to 0 otherwise. We could use a standard name like "elevation_threshold_mask" or "temperature_threshold_mask" and then define the threshold value and how the masked values are related to the threshold value (>, >=, <, <= or =) with an <assume> tag in a Model Coupling Metadata (MCM) file.
  • Masks provide a mechanism to identify a subset of a larger set, so they are a way to refer to a part of a larger object. Because of this, it is reasonable to use "land-mask" as an object in the object part of a CSDMS Standard Name. However, it is also reasonable to use "binary_mask" as a quantity name since it indicates the possible values (0 and 1) and the absence of units. A "data mask", on the other hand, inherits the quantity name and units of the data. So it would be reasonable to use "data_mask_of" as an operation, as in "positive_data_mask_of_elevation".
  • The CF Standard Names currently have two names that contain the word "mask", namely: "land_binary_mask" and "sunlit_binary_mask". The guidelines mention both "binary_mask" and "data_mask".
  • Terms like "presence_mask", '"inclusion_mask" and "exclusion_mask" would fit the Process_name + Quantity Pattern.
  • Note that painters use Masking tape to "mask off" areas that should not be painted.


Mass

  base_quantity = "mass"
  Examples of Specific Quantities:
  "molar_mass"
  "relativistic_mass"
  "rest_mass"

  Examples

### cesium_atomic_mass   (also relative_atomic_mass = atomic_weight)
electron__relativistic_mass
electron__rest_mass   (also invariant mass, intrinsic_mass, proper mass)
star~neutron__tolman_oppenheimer_volkoff_limit_mass
star~white-dwarf__chandrasekhar_limit_mass   (object = star~white-dwarf)

  • The SI units for mass are kilograms.
  • What about "biomass"?
  • See Attributes of Atoms, Concentration, Flux.


Maximum

  Examples

basin_outlet_water_x-section__time_max_of_volume_flow_rate   (for "peak discharge')
  • While we could use "max" as a quantity suffix, this is not unambiguous for quantities that can vary in both space and time, such as drainage basin discharge. It seems best to introduce "time_max_of_" and "domain_max_of_" as operations instead. See: CSDMS Operation Templates.


Miles per Gallon

  • This is not allowed because it is not a good quantity name; it is really a units name. The associated concepts are "fuel consumption rate" and "fuel economy". The word "mileage" is sometimes used but is also a poor term.
  • See the Fuel Efficiency template.


Minimum

  Examples

basin_outlet_water_x-section__time_min_of_volume_flow_rate
  • While we could use "min" as a quantity suffix, this is not unambiguous for quantities that can vary in both space and time, such as drainage basin discharge. It seems best to introduce "time_min_of_" and "domain_min_of_" as operations instead. See: CSDMS Operation Templates.


Modulus

  base_quantity = "modulus"
  Examples of Specific Quantities:
  "bulk_modulus"
  "shear_modulus"
  "young_modulus"

  Examples

lithosphere__bulk_modulus
lithosphere__young_modulus
  • This quantity is used in continuum mechanics and materials science to measure a material's resistance to different types of deformation, sometimes called rigidity or stiffness. It has units of pressure.
  • Bulk, shear and Young's are different types of "elastic modulus".
  • There are several different models for how the shear modulus of metals varies with pressure and/or temperature, such as the MTS, SCG and NP models. See: Shear modulus.


Number

  base_quantity = "number"
  Examples of Specific Quantities:
  "julian_day_number"
  "neutron_number"
  "proton_number"
  "quantum_number"
  "wavenumber"
  "winding_number"

  Examples

automobile__vehicle_identification_number   (i.e. VIN number)
carbon_isotope__neutron_number
iron_atom__neutron_number
iron_atom__proton_number
sea_surface_water_wave__wavenumber
  • This quantity name is often used when the attribute being quantified can only take integer values, as in the examples above and detectors that count particles. The word "count" is used similarly.
  • Many important dimensionless numbers also end with the word "number" and are often named after a person (e.g. Reynolds number). These are discussed in the Dimensionless Number template and they are typically not integers. Also the wave number need not be an integer.
  • Sometimes, there are multiple definitions for a dimensionless number, so they aren't always interchangeable. For example, there are at least 4 types of Richardson number. One is the reciprocal of the square of the Froude number. Three others are used in atmospheric science and are preceded by the adjective "flux", "gradient" or "bulk" (an approximation to the gradient version). For some definitions, the Richardson number can only take positive values, while for others it can also take negative values, which indicates an unstable atmosphere. The AMS provides several definitions of the Richardson number.
  • Atomic number is a synonym for "proton_number" but the latter is used for clarity and consistency in the CSDMS standard names. The "mass_number" is defined as the sum of the "proton_number" and "neutron_number".
  • Several other "numbers" are defined in particle physics, such as the "electronic_number", "muonic_number" and "tauonic_number".
  • The winding number is used in mathematics as an attribute of closed, planar curves.
  • For hydrologic features such as rivers, unique identification numbers such as the USGS Hydrologic Unit Code (or "HUC number") and Pfafstetter Code are used. See Code.


Parameter

  base_quantity = "parameter"

  Examples

channel_bottom_water_flow_sediment__shields_parameter
channel_water_flow__manning_n_parameter
soil_water__van_genuchten_alpha_parameter
  • Parameters often occur in empirical laws.
  • The CSDMS Standard Names use "manning_n_parameter vs. "manning_coefficient".
  • The CSDMS standard names use "coriolis_frequency" vs. "coriolis_parameter".
  • Shields (1935) worked with a nondimensional shear stress that is now known as the Shields parameter.
  • See templates for Coefficient, Constant, Exponent, Factor, Index and Number.


Partial Pressure

  base_quantity = "partial_pressure"
  Examples of Specific Quantities:
  name = [substance 1] + "_" + [substance 2] + "_partial_pressure"

  Examples

atmosphere_carbon-dioxide__partial_pressure   # (carbon dioxide in air)
atmosphere_water~vapor__partial_pressure  # (water vapor in air)
atmosphere_water~vapor__saturated_partial_pressure
  • This is an example of a quantity that uses the Object-in-object Quantity Pattern because two substances are involved. See Solubility and Volume Fraction.
  • The term "water vapor pressure" refers to the partial pressure of water vapor in air, and the "saturated water vapor pressure" is the partial pressure of water vapor in air at saturation. The CSDMS standard names for these are given above. One of them uses the Saturated Quantity Rule.
  • Partial pressure for a gas dissolved in a liquid is the partial pressure of that gas which would be generated in a gas phase in equilibrium with the liquid at the same temperature. See: Partial pressure.
  • CF Standard Names currently has only 6 names with "partial_pressure". They all have units of [Pa] and are:
surface_carbon_dioxide_partial_pressure_difference_between_air_and_sea_water
surface_carbon_dioxide_partial_pressure_difference_between_sea_water_and_air
surface_molecular_oxygen_partial_pressure_difference_between_sea_water_and_air
surface_partial_pressure_of_carbon_dioxide_in_air
surface_partial_pressure_of_carbon_dioxide_in_sea_water
water_vapor_partial_pressure_in_air   (alias: water_vapor_pressure)
We could use the following CSDMS standard name for the first quantity listed above:
"sea_surface_air-vs-water_carbon-dioxide" + "difference_of_partial_pressure"
(with "difference" as a quantity suffix).  Or with a new rule for "-and-in_", we could use:
surface_carbon_dioxide_in_air-and-in_sea_water_partial_pressure_difference.
  • See the quantity template for Pressure.


Perimeter

  base_quantity = "perimeter"

  Examples

basin_boundary__perimeter
channel_x-section__perimeter
  • This quantity has units of length and is well-defined for virtually any (nonfractal) planar shape. It can be infinite, however, for a fractal shape such as the Koch snowflake.
  • See Diameter.


Period

  base_quantity = "period"
  Examples of Specific Quantities:
  "sidereal_period"
  "synodic_period"

  Examples

earth__rotation_period
flood__expected_return_period    ######### Need a flood size adjective.
mars_orbit__sidereal_period
mars_orbit__synodic_period
sea_surface_water_wave__period
virus_chicken-pox__incubation_period

  • This quantity has units of time and is typically used to describe the time required for some time of periodic motion to return to its starting point. Examples include the rotation of a planet on its axis, the orbit of a planet around the sun or the period of a wave.
  • In hydrology the terms: Return period, "return time", "recurrence interval" and "flood frequency" are used to quantify the expected time between floods of a given size.
  • See: Orbital period for definitions of "sidereal period", "synodic period", "draconic period", "anomalistic period" and "tropical period".
  • See Duration and Time.


Permeability

  base_quantity = "permeability"

  Examples

sea_bottom_sediment__permeability
  • Permeability is a property of a geologic material (and not the fluid) that indicates the ability of a fluid to move through it. It is related to hydraulic conductivity.


pH

  base_quantity = "ph"

  Examples

channel_water__ph
sulfuric-acid_solution__ph
  • This quantity measures the activity of the (solvated) hydrogen ion in a solution. It is close to 7 for pure water, less than 7 for acidic solutions and greater than 7 for basic (i.e. alkaline) solutions.
  • Should "pH" be viewed as a measurement unit instead of a quantity?


Point

  Examples

boiling_point
breaking_point  ??
bubble_point
critical_point   (See: Critical point.)
curie_point  (See: Curie point.)
dew_point
flash_point
freezing_point
frost_point
melting_point
wilting_point    (used in infiltration theory)
yield_point   (See: Yield strength.)

atmosphere_water~vapor__dew_point_temperature
atmosphere_water~vapor__frost_point_temperature
ice__melting_point_temperature
water__boiling_point_temperature
water__freezing_point_temperature
  • This is not viewed as a quantity or quantity suffix within the CSDMS Standard Names. It is generally inserted just before a base quantity name and refers to a threshold that occurs for that quantity. See the template for Temperature for many examples.
  • Each of the examples above puts a "process name" prefix, from the list of process names in CSDMS Process Names in front of "_point".


Porosity

  base_quantity = "porosity"

  Examples

soil__porosity
  • Could also be called "soil_air__volume_fraction".


Power

  base_quantity = "power"

  Examples

channel_water__power
  • "Power" has SI units of [J s-1] = [ W ]. In the context of a fluid in motion, it is an "energy flow rate" associated with the kinetic energy of the fluid. It is proportional to the cube of the fluid velocity. For a non-accelerating flow, the gravitational acceleration of the flow is exactly balanced by the loss of momentum due to friction. See the template for Flow Rate.
  • In hydrology, the terms "stream_power" and "unit_width_stream_power" are used. See: Stream power.


Precipitation

  "precipitation_" + base_quantity
  "precipitation_leq-volume_flux
  "precipitation_mass_flux
  "precipitation_volume_flux

  Examples

atmosphere_water__precipitation_duration
atmosphere_water__precipitation_leq-volume_flux  (in liquid or solid form)
atmosphere_ice__precipitation_volume_flux
atmosphere_snow__precipitation_volume_flux
titan_atmosphere_methane__precipitation_leq-volume_flux (on Titan)
  • Precipitation is not a quantity, but rather a process as defined at the top of the CSDMS Process Names page. However, there are several quantities associated with precipitation, as seen in the examples above. A "precipitation_volume_flux" is a volume per unit area and unit time, and therefore has units of [length / time] (e.g. mm per hour). A "precipitation_mass_flux" is a mass per unit area and unit time, and therefore has units of [mass / (area * time)] (e.g. kg per square meter per hour).
  • "Rainfall" is a somewhat unusual example of a process name in that the relevant object (rain) and the associated process (falling) have been fused to create the process name. Adding the object part in front would mean repeating the word rain. But "rain" is also a verb and "raining" is therefore a valid process name, but only for liquids. In the CSDMS Standard Names, the object that is precipitating is specified in the object part of the name, such as "water", or perhaps "methane" for Titan.
  • Since water can precipitate in liquid or solid form, each with a different density, precipitation rates are often quantified as liquid-water equivalent. The corresponding CSDMS standard name is: "atmosphere_water" + "precipitation_leq-volume_flux", where "leq-volume" is an abbreviation for "liquid-equivalent volume". This quantity name generalizes to other substances (like methane on Titan). See: Precipitation (chemistry) and Precipitation (meteorology).
  • Note that in the CSDMS Standard Names, it is considered unnecessary and redundant to insert "liqui-equivalent" into the names "ice" + "melt_volume_flux" and "snowpack" + "melt_volume_flux", since the process of melting converts ice and snow to liquid water.
  • The name "snowpack" + "liquid-equivalent_depth" is also used and is computed by multiplying the snowpack depth by the "liquid-water-to-snow_density_ratio".
  • The word "water" by itself does not indicate whether the state is gas, liquid or solid.
  • See the templates for Process Attributes and Rates of Processes for more information.


Pressure

  base_quantity = "pressure"
  Examples of Specific Quantities:
  "dynamic_pressure"
  "osmotic_pressure"
  "radiation_pressure"
  "partial_pressure" (See Partial Pressure above)
  "stagnation_pressure"
  "static_pressure"
  "total_pressure"
  "vapor_pressure"

  Examples

atmosphere_bottom_air__pressure
channel_bottom_water__static_pressure
channel_bottom_water_flow__dynamic_pressure
channel_bottom_water_flow__total_pressure  
channel_water__static_pressure
channel_water_flow__dynamic_pressure       (anywhere in the channel)
channel_water_flow__total_pressure
  • Pressure may be thought of as "force per unit area".
  • Pressure requires specifying a single object (e.g. air) but "partial pressure" requires two different objects to be specified using the "object-in-object" pattern. See the quantity template for Partial Pressure.
  • In chemistry, the term vapor pressure (also called "equilibrium vapor pressure") has a specific meaning, and is a property of a single compound or substance.
  • In meteorology, the term "vapor pressure" is used to mean the partial pressure of water vapor in the atmosphere, even if it is not in equilibrium, and the adjective equilibrium is inserted otherwise. In the CSDMS Standard Names, the term "vapor pressure" is only used as it is defined in chemistry, and for meteorology, names use "partial_pressure" or "saturated_partial_pressure" as in: "atmosphere_air_water~vapor" + "partial_pressure".
  • Electromagnetic radiation exerts radiation pressure on an illuminated surface. A Crookes radiometer is often used to illustrate this effect, but it is now known that a combination of Einstein and Reynolds forces (thermal transpiration) is actually responsible for making them turn.
  • The quantity pressure head is used in hydraulics and in ground water modeling but it has units of length. It is often negative, and negative pressure is sometimes called suction. See Head.
  • Although the pressure generated by a sound wave is sometimes called sound pressure, the standard name would then be something like: "air_sound-wave" + "pressure".
  • In cosmology, there is also a concept of "negative pressure".
  • Note that "atmosphere_bottom_air" + "pressure" and "land_surface_air" + "pressure" would mean the same thing, but the former is preferred.


Process Attributes

  [ process name ] + [ base_quantity ]

  Examples

digestion_period, gestation_period, hibernation_period,
incubation_period, sleeping_period
-------------------------------------------------------------------
lapse_rate, 
-------------------------------------------------------------------
evaporation_mass_flux, infiltration_mass_flux, melt_mass_flux,
precipitation_mass_flux
 
evaporation_volume_flux, infiltration_volume_flux, melt_volume_flux,
precipitation_volume_flux
-------------------------------------------------------------------
conception_date
delivery_date        (vs. "expected_delivery_date" or "due_date")
launch_date
ovulation_date
starting_date        (or "start_date" ??)
----------------------
precipitation_duration
sunshine_duration
----------------------
failure_frequency
oscillation_frequency
vibration_frequency
wave_frequency        (vs. "waving")
----------------------
recovery_time
starting_time
stopping_time
----------------------
flow_speed
running_speed
wind_speed    (Note: "wind" = "air_flow".)
----------------------
birth_weight
dissociation_energy
penetration_depth
striking_distance
turning_radius
  • Many quantity names are created by pairing a process name with a base quantity name. See the Process Name + Base Quantity Name Pattern are given on the CSDMS Process Name + Quantity Name Pattern page for a long list of examples.
  • Process names are almost always generated by converting a verb to a noun with a standard ending like "tion". See CSDMS Process Names for details and a long list of examples.
  • Pairing a process name with the base quantity name "rate" makes sense for most processes, but a given process if often naturally associated with other base quantities (e.g. gestation_period). See the Rate template for examples where the base quantity is "rate".
  • In the example of "birth_weight", "birth" is a process that is happening to the baby, while "delivery" or "giving birth" is the process happening to the mother. (i.e. "infant_birth_weight" and perhaps "pregnant_female_delivery_date")


Radiation

  "radiation_" + quantity

  Examples

light-bulb~incandescent__radiant_intensity   ? ##### CHECK
universe__cosmic_background_radiation_frequency
  • See the CSDMS Standard Names Examples page for many examples where "radiation" is viewed as an object and appears in the object part of the name and the quantity is an energy_flux. These examples include the atmosphere, glacier, land_surface, sea_water and snowpack. Together they cover most of the Earth's basic radiation budget.
  • Note that "radiation" (the process where an object generates and sends out energy) and "irradiation" (the process where an object receives energy from a source) are really distinct processes, and neither is a quantity by itself. The object in the object part of the name is either radiating energy or being irradiated by some external source of energy. However, as of 7/23/14, the adjectives "incoming" and "outgoing" are used instead of distinguishing between these two process names. (Similarly, "inflow" and "outflow" will not be used for fluid flow quantities.) This provides additional flexibility with semantic matching and provides a single, general and more easily understood rule. Quantity names can be constructed using the Process_name + Quantity Pattern. See the Process Attributes template.
  • Incoming fluxes generated externally (from the point of view of the object name) and outgoing fluxes generated internally both have positive signs, by convention.
  • The adjectives "upwelling" and "downwelling" are frequently used to mean "from the ground" and "from the sky". Note that "upwelling" longwave radiation would include longwave radiation emitted by the land surface as well as longwave radiation reflected from the land surface, but originally emitted from clouds or aerosols. So far, these adjectives are not used in the CSDMS Standard Names.
  • Adjectives like longwave, shortwave, microwave, visible, infrared, thermal-infrared, ultraviolet and so on are typically inserted just before the word radiation.
  • In a vacuum (e.g. space), the refraction index for all wavelengths of light is 1, so the speed of light is independent of wavelength. In other media, such as air and water, the refraction index (and therefore the speed) varies with wavelength. See the Index template.
  • Radiation fluxes are energy fluxes (see the Flux template) and have SI units of [W m-2] = [J m-2 s-1].


Radius

  base_quantity = "radius"

  Examples

automobile__turning_radius
black-hole__schwarzchild_radius
earth_ellipsoid__equatorial_radius
earth_ellipsoid__polar_radius
railway_curve__minimum_radius    (see link below)
  • What about Radius of Curvature? See the object template for Surface.


Rate

  base_quantity ="rate"
  Examples of Specific Quantities:
  [ process name ] + "_rate"

  Examples

atmosphere_air__temperature_lapse_rate
automobile_fuel__consumption_rate
glacier_terminus__calving_rate
human_alcohol__consumption_rate
  • The word "rate" means per unit time and is often paired with a process name to create a quantity name that quantifies how fast the process occurs, as in the examples above.
  • Quantity names like: "evaporation rate", "infiltration rate", "melt rate" and "precipitation rate" are ambiguous because these rates can be quantified with either a mass flux [kg m-2 s-1] or a volume flux [m s-1]. (The latter is what is usually meant.) So, for example, we can have "glacier_ice" + "melt_mass_flux", "glacier_ice" + "melt_volume_flux", "evaporation_mass_flux", "evaporation_volume_flux", etc.
  • When necessary for clarification, the standard assumption name "liquid_equivalent" can be included with an <assume> tag in a Model Coupling Metadata (MCM) file. It seems that the quantity "ice_melt_rate", however, implies a rate at which water is being generated. In the CSDMS Standard Names, "leq-volume" is used as an abbreviation for "liquid-equivalent volume". In the CF Standard Names, "lwe" is used as a standard abbreviation for "liquid_water_equivalent" and this abbreviation is used as an adjective.
  • Terms like "rainfall_rate" and "rain_rate", though commonly used, do not lend themselves to our general (object + quantity) pattern. Note that "rainfall" is a contraction of object (rain) and process (falling) names.
  • See Precipitation.


Ratio

  base_quantity = "ratio"
  Examples of Specific Quantities:
  "aspect_ratio"
  "bowen_ratio"
  "dilution_ratio"
  "mass_ratio"

  Examples

bear_brain-to-body__mass_ratio
earth_ellipsoid__inverse_of_flattening_ratio
engine_air-to-fuel__mass_ratio     (or "mixture_ratio")
fuel-to-oxidizer__equivalence_ratio   ###
image__aspect_ratio
lake__bowen_ratio
lithosphere__poisson_ratio
rocket_payload__mass_ratio
rocket_propellant__mass_ratio
 
channel_x-section__width-to-depth_ratio  
electron__charge-to-mass_ratio
  • Some ratios are the ratio of the same quantity as measured for two different objects while others are ratios of two different quantities measured on a single object. The Object-to-object Quantity Pattern is used for the first case and the Quantity-to-Quantity Pattern is used for the second case. Examples for both cases are given above.
  • Ratios are often dimensionless. In fact, most dimensionless numbers are ratios of forces, etc. See the Dimensionless Number template.
  • "ratio" serves as a quantity suffix in quantities like "mass_ratio", but is also allowed as a base quantity.
  • Note that "relative_roughness" is a quantity that is defined as the ratio of the roughness length scale and the water depth in a channel. So channel_bed_relative_roughness is a valid standard name but channel_bed_roughness_length-to-water_depth_ratio is also valid.
  • "aspect_ratio" generally means the ratio of the lengths of the long and short sides of a rectangle; 1 for a square and > 1 otherwise.
  • In chemistry, "dilution_ratio" and "dilution_factor" are used for a solute in a solvent.
  • In meteorology and hydrology, the Bowen ratio is defined to be the ratio of sensible and latent heating of a water body.
  • In geodesy, the "flattening ratio" and "inverse flattening ratio" are used to characterize a standard ellipsoid. See Flattening.


Reference Quantities

  "reference_" + quantity1 + "_" + quantity2
  quantity1 + "_reference_" + quantity2

  Examples

atmosphere_air_radiation__standard_refraction_index
  
land_surface_wind__reference_height_speed
land_surface_wind__speed_reference_height    ("reference" is between the quantities)
  
sea_surface_air__reference_pressure  ??   (insert "dry" before "reference"?)
sea_surface_air__reference_temperature ??
 
soil__reference_depth_temperature
soil__temperature_reference_depth
  • Many quantities are defined with respect to a reference value of some quantity such as: height, pressure, temperature or wavelength. For example, wind speed is often reported for a reference height of 10 meters. Similarly, a model may require soil temperature at a reference depth of 1 meter.
  • The "standard refraction index" for a given medium (e.g. air, water, vacuum) is given for a reference wavelength of 589 nm. For the latter, an <assume> tag should be included in the Model Metadata File that specifies: "at_reference_wavelength_of_589_nm" (and maybe also "yellow_doublet_sodium_d_line_reference".)
  • Note that this typically requires that two quantities be specified, e.g "reference_height" and "speed", that result in a matched pair of distinct quantity names. These two names follow the "quantity" patterns given above.
  • These quantities typically contain a word like "reference" or "standard". These two words may be treated as reserved words in the CSDMS Standard Names.
  • Many quantities are defined for "standard_temperature-and-pressure" or STP and this is one of the standardized CSDMS Assumption Names that can be specified with an <assume> tag. However, there is not one standard definition of STP. The IUPAC (International Union of Pure and Applied Chemistry) defines STP as air at a temperature of 0 degrees C and a pressure of 10^5 Pa. In the US and elsewhere, STP is defined as air at a temperature of 60 degrees F and 14.696 psia (1 atm). An additional <assume> tag will therefore be required to avoid ambiguity.
  • Many quantities, such as geopotential height are defined relative to Earth's mean sea level or MSL. An <assume> tag is needed to define the corresponding reference value.
  • Georeferenced quantities, such as elevation, require specifying a reference ellipsoid. There is typically an associated datum and a projection may also be specified. Standard names for ellipsoids, datums and projections are provided on the CSDMS Metadata Names page. They can be specified in a Model Metadata File using <ellipsoid>, <datum> and <projection> tags.
  • In cumulative frequency analysis (e.g. flood frequencies), a reference value must be specified and this would also be done using an <assume> tag.
  • One or more <assume> tags should be used in the Model Metadata File to define the reference quantity. For example, <assume> reference_height_is_10m </assume>. The value of the reference height ("10m" in this example) should not be given in the standard name itself.
  • The quantity suffix "Anomaly" also requires providing <assume> tags in a Model Metadata File to specify how the "mean climatology" reference value is defined.


Reflectance

  base_quantity = "reflectance"
  Examples of Specific Quantities:
  "broadband_reflectance"
  "spectral_reflectance"

  Examples

atmosphere_air_radiation~incoming~longwave__reflectance
  • Reflectance (also called "reflectivity") is the ratio of the power per unit area [W m-2] of electromagnetic radiation reflected by a surface to the original, incident power per unit area (or irradiance). It is a dimensionless number between 0 (for a perfectly black surface) and 1 (for a perfectly white surface).
  • Absorptance + Reflectance + Transmittance = 1. See Reflectance and Transmittance below.
  • Various authors recommend using the terms: Absorptivity, Emissivity, Reflectivity and Transmissivity as properties of a pure material and Absorptance, Emittance, Reflectance and Transmittance as the analogous terms for the characteristics of a specimen or sample. See: Palmer, J.M. (1994) Chapter 25: The measurement of transmission, absorption, emission and reflection, Handbook of Optics, 2nd ed., Part II, M. Bass, editor, McGraw-Hill, NY. (A PDF file is available here.)
  • Reflectance is the square of the magnitude of the "reflection coefficient" from Fresnel's equation. In general, the refraction index and reflection coefficient are complex numbers, as they are for materials that can absorb radiation.
  • The quantity "spectral reflectance" is the reflectance associated with a specific wavelength, while "broadband reflectance" is an integral over a range of wavelengths. If a radiation band like "shortwave" or "longwave" is specified in the object part of the name, then it is unnecessary to specify broadband or spectral in the quantity part.
  • Albedo is a very closely related concept. See Albedo above.


Resistance

  base_quantity = "resistance"
  Examples of Specific Quantities:
  "electrical_resistance"
  "stomatal_resistance"
  "specific_thermal_resistance"
  "thermal_resistance"

  Examples

None yet.
  • Electrical impedance is a complex-valued quantity, where the real part is the familiar resistance (with SI unit "ohm") and the imaginary part is the less-familiar reactance. See Impedance above.
  • Conductance is the inverse of resistance, with SI unit "siemens".


Resistivity

  base_quantity = "resistivity"
  Examples of Specific Quantities:
  "electrical_resistivity" [siemens-1 m] or [ohm m]
  "hydraulic_resistivity" [m-1 s]
  "ionic_resistivity"
  "thermal_resistivity" [W-1 m K] (this is an intensive property; don't need to add "specific")

  Examples

snow__thermal_resistivity
  • Resistivity is the reciprocal of conductivity and both are "intensive" properties, so the prefix "specific" is not needed.
  • Resistance and conductance are also reciprocals, but are "extensive" properties.


Scale

  quantity_suffix = "scale"
  Examples of Specific Quantities:
  "length_scale"
  "time_scale"
  "velocity_scale"

  Examples

*_batchelor_scale
*_kolmogorov_length_scale 
*_kolmogorov_time_scale
*_kolmogorov_velocity_scale
*_mesoscopic_length_scale
*_obukhov_length_scale
*_planck_length_scale
*_planck_time_scale
*_taylor_length_scale
  • This is another quantity suffix, used to create new quantity names from existing quantity names. It often is used to indicate the value of a quantity that is as small as it can be for the given system and therefore able to serve as a natural unit of measure.
  • The adjective "characteristic" is often inserted before the base quantity name, as in "characteristic_length_scale".


Sinuosity

  base_quantity = "sinuosity"
  Examples of Specific Quantities:
  "downvalley_sinuosity"

  Examples

channel_centerline__downvalley_sinuosity
channel_centerline__sinuosity
channel_valley_centerline__sinuosity

  • Sinuosity is a dimensionless measure of the extent to which a river channel wiggles or deviates from a more direct path. Although it can be defined in different ways, the result is always a number that is greater than or equal to 1.
  • In geomorphology, the standard type of sinuosity — which we here call "downvalley_sinuosity" — is the ratio of the centerline length of a channel to the centerline length of the valley that contains that channel. However, the centerline length of a valley can be difficult to measure with Geographic Information System (GIS) software. The word "sinuosity" (without qualification) is the ratio of the centerline length of a channel to the straight-line distance between the two endpoints of the channel (i.e. "as the crow flies"). Note that "sinuosity" will always be greater than or equal to "downvalley sinuosity".
  • Note that the word "centerline" is inserted in accordance with the Object_name + model_name Pattern (i.e. a model of the object in question for which "length" is well-defined) and seems preferable to "axis", "backbone" and "curve".
  • Recall that a "geodesic" is the shortest path between two points in a space that may be curved. On the surface of a sphere, a geodesic is given by the "great circle" that passes through two given points on the sphere. In a plane, the geodesic is just the straight line segment or "chord" that connects the two points. Geometry in the plane is also called Euclidean geometry.
  • Other types of sinuosity have also been defined in the literature, including: floodplain sinuosity, terrace sinuosity and meander belt sinuosity.
  • Even in a channel with straight banks, one can define a "thalweg" sinuosity by using thalweg centerline length in the numerator.
  • We could construct longer and more descriptive standard names for different types of sinuosities such as: <br\> "channel_centerline-to-valley_centerline" + "length_ratio" and <br\> "channel_centerline-to-straight_line" + "length_ratio".
    This may help to avoid ambiguity for the less common types of sinuosity. We could even replace "length_ratio" in these names with "sinuosity".
  • The standard definitions of sinuosity and tortuosity appear to be identical. The term "sinuosity_index" is sometimes used, here called "downvalley_sinuosity". See: Sinuosity and Tortuosity.


Slope

  base_quantity = "slope"

  Examples

land_surface__slope
  • Slope is a dimensionless measure of the local steepness of a surface. It is defined as the magnitude of the gradient of elevation. In 1D, it is computed as"rise over run".
  • The term "slope_angle" is used for the angle, beta, such that: slope = tan( beta ), or beta = arctan( slope ).


Solubility

  base_quantity = "solubility"

  Examples

water_carbon-dioxide__solubility
water_diethyl-ether__solubility
water_ethanol__solubility
  • This quantity always involves two substances and therefore requires using the Object-in-object Quantity Pattern. However, use of the reserved word "in" is now deprecated. (7/23/14). Instead, the containing object is listed first, followed by those contained and multi-word object names are hyphenated. See the templates for Partial Pressure and Fraction (volume fraction) which are similar in this regard.
  • The solubility of a gas in a solvent is directly proportional to the partial pressure of that gas in the solvent. See: Solubility.
  • Miscibility is the property of liquids to mix in all proportions to form a homogeneous solution and is a closely related concept. It is not a quantity, however.


Span

  base_quantity = "span"

  Examples

airplane_wing__span
beam__span
bridge__span
human_life__span  ####  (or human_life__max_of_duration ??)
  • Span is an unusual quantity name that may have units of length or time depending on the context.
  • "Wingspan" is a contraction of an object name (part of another object) and a quantity name. An underscore is inserted in a CSDMS standard name to indicate that "span" is the base quantity.


Speed

  base_quantity = "speed"
  Examples of Specific Quantities:
  "escape_speed"
  "relative_speed"
  "settling_speed"
  "terminal_speed"

  Examples

glacier_bottom__sliding_speed
land_surface_air_flow__speed
  • The quantity name "speed" is equivalent to "magnitude_of_velocity". Velocity components use the "component_of" operation prefix. See the Component template.
  • When applied to fluids, the word "flow" is added to the end of the object part of the name, as an abbreviation for "flow field". It was formerly inserted before the word "speed".
  • "Velocity" is a vector quantity while "speed" is a scalar quantity. The CSDMS Standard Names may allow vector quantities so that models can attempt to retrieve all velocity components in one data structure.
  • The quantity relative_speed is the speed of one object relative to another (which may also be moving, in an arbitrary direction). In general, the "relative speed" can be computed as the magnitude of the vector difference between the the velocity vectors of the two objects. Both objects must be named in the object part of the name as in: "aircraft_ground" + "relative_speed".
  • See Velocity for "escape speed", "settling speed" and "terminal speed".


Step

  quantity_suffix = "step"

  Examples

model__time_step
  • This is another quantity suffix (defined at the top) that is usually used when the base quantity is "time".
  • While an increment can have either sign, a step is generally positive.
  • See Increment and Time Step.


Strain

  base_quantity = "strain"

  • Strain is a normalized measure of deformation in continuum mechanics and is therefore dimensionless.
  • Different fluids and substances have different "stress-strain" relationships. For a Newtonian fluid, there is a linear relationship between the shear stress and the strain rate.


Strength

  base_quantity = "strength"

  Examples

None yet.


Stress

  base_quantity = "stress"
  Examples of Specific Quantities:
  "deviatoric_stress"
  "normal_stress"
  "shear_stress" (vs. "shearing_stress"; see below)

  Examples

channel_bottom_water_flow__magnitude_of_shear_stress
channel_bottom_water_flow_sediment_grain__shields_critical_shear_stress
sea_bottom_surface_water_flow__normal_component_of_stress
sea_bottom_surface_water_flow__x_z_component_of_shear_stress
sea_water_flow__down_east_component_of_stress
sea_water_flow__down_east_component_of_reynolds_stress
sea_water_flow__down_east_component_of_viscous_stress
sea_water_flow__down_north_component_of_stress
  • Components of stress are specified using the "component_of" operation prefix, as shown in the examples above. For models that use a geographic coordinate system, we would use "east", "north" and "up" to describe component directions. For models that use a Cartesian (or equal-area) coordinate system, we would use "x", "y" and "z".
  • Standard adjectives for shear stress include: "skin_friction", "form_drag" and "total".
  • Conventions like "right_hand_rule" and "positive_downward" can be indicated in a Model Metadata File with <assume> tags.
  • Perhaps we should introduce a convention where "shear_stress" is taken to mean "magnitude_of_shear_stress" when there is no operation prefix.
  • Stresses are more complex than vectors and are represented mathematically as tensors.
  • There are two "kinds" of stress called "normal" and "shear" stress. While a normal stress is associated with a single vector, two vectors are required to describe a shear stress.
  • Note that "shearing_stress" follows the Process_name + Quantity Pattern, where the process name is "shearing". However, the "ing" ending is often dropped, as is often the case with process names; see the top of the CSDMS Process Names page. Many fluid dynamics textbooks use "shearing", e.g. Batchelor (1988), and "tangential stress" is a synonym.
  • Reynolds stress is a contribution to the total stress tensor in a fluid due to momentum fluctuations that arise within turbulent flows. When "stress" appears by itself, it indicates the "total" stress tensor, which includes the so-called "viscous_stress" and the "Reynolds_stress" (or turbulent stress). (Is radiation stress also included in "total"? See below.)
  • Shields (1935) introduced the concept of a "critical shear stress" that must be exceeded at the bed of a river channel in order to initiate sediment transport. The associated quantity name is "shields_critical_shear_stress", with the name "shields" being placed before "critical" to allow other definitions of "critical_shear_stress" by future researchers. We could use the Process Name + Base Quantity Name Pattern to construct a self-describing quantity name like: "transport_initiation_stress", "initial-transport_stress" or "initial-motion_stress".
  • In oceanography there is a concept of radiation stress and for electromagnetic radiation there is radiation pressure. See Pressure.
  • There are 19 CF Standard Names that contain the word "stress". Most contain only one "component adjective" like "eastward", but some have two, such as
surface_downward_eastward_stress
surface_downward_northward_stress
surface_downward_x_stress
surface_downward_y_stress


Temperature

  base_quantity = "temperature"
  Examples of Specific Quantities:
  "convective_temperature"
  "effective_temperature"
  "equivalent_temperature"
  "equivalent_potential_temperature"
  "potential_temperature"

  Examples

atmosphere_air_water~vapor__bubble_point_temperature
atmosphere_air_water~vapor__dew_point_temperature
atmosphere_air_water~vapor__frost_point_temperature
iron__melting_point_temperature
snow__temperature
soil__temperature
water__boiling_point_temperature
water__freezing_point_temperature
  • Use "dew_point_temperature" vs. "temperature_at_dew_point". Similarly for "boiling_point", "melting_point", "freezing_point", etc.
  • Can include how measured with <assume> tags in a Model Metadata File.
  • Note that "apparent_temperature" or "heat_index_temperature" (same as "felt_air_temperature") may be less ambiguous standard names than "heat_index", since it has units of temperature.
  • Materials with impurities or in very small quantities may melt at a lower temperature than bulk amounts of pure material. This is quantified with Melting-point depressions. In the CSDMS Standard Names, these use the operation prefix "depression_of" + "melting_point_temperature".


Tension

  base_quantity = "tension"
  Examples of Specific Quantities:
  "surface_tension"

  Examples

  • Tension is the opposite of compression. It is often used in connection with columns, ropes and strings.
  • Tension is not a force, but has units of force (e.g. Newtons).


Term

  base_quantity = "term"
  Examples of Specific Quantities:
  "acceleration_term"
  "convection_term"
  "diffusion_term"
  "forcing_term"
  "friction_loss_term"
  "sink_term"
  "source_term"
  "time_derivative_term" (or use "unsteady_term" instead?)

  Examples

equation~convection-diffusion__convection_term"
equation~convection-diffusion__diffusion_term"
equation~navier-stokes__body_force_term
equation~navier-stokes__convective_acceleration_term
equation~navier-stokes__pressure_gradient_term
equation~navier-stokes__unsteady_acceleration_term
equation~navier-stokes__viscosity_term    (or "viscous_diffusion_term" ?)
equation~poisson__laplacian_term
equation~poisson__source_term
  • Many models allow various "terms" in an equation that the model solves numerically to be saved as output.
  • In the Navier-Stokes equation, which is widely used for modeling fluid flow, each term has a standard name. The names are: "unsteady_acceleration_term", "convective_acceleration_term" (or "nonlinear_term"), "pressure_gradient_term" (or "pressure_term"), "viscosity_term" (or "diffusion_term" or "vector_laplacian_term") and "body_force_term".
  • This template is still under review. The appropriate object_name (possibly an equation_name from the CSDMS Assumption Names page) and the associated units are not entirely clear. However, this type of quantity is commonly included among a model's output variables.
  • We may also want to include "right_hand_side" and "left_hand_side", but this is dependent on how the equation is written.


Thickness

  base_quantity = "thickness"

  Examples

shale~burgess_stratum__thickness    ("stratum" or "layer" ?)
human_hair__thickness
mars_atmosphere__thickness
model_soil_layer~0__thickness
paper__thickness
  • This quantity name refers to the full, top-to-bottom vertical length dimension of something that tends to cover an area that is large relative to this length.
  • The words "depth" and "thickness" are sometimes used interchangeably. In the context of "layers", "thickness" is usually used (e.g. in meteorology, geology and hydrogeology). In the context of surface water or snow, "depth" is usually used. (As in: "How deep is the lake?" or "The lake depth is 5 meters.") The word "depth" indicates a value that is positive downward from some reference datum. There is often the connotation that it may take values less than some maximum possible value, as in "sea_water_secchi_disk_depth".
  • See Altitude, Depth, Elevation and Height.


Threshold

  operation_prefix = "threshold"

  Examples

  • Before 3/19/13, this was treated as a "quantity suffix" but now it is treated as an "operation prefix". In the example above, however, the word "threshold" is used as an adjective. Perhaps it should contain more information, something like "melting_point_temperature".
  • It is more common for words like "critical" or "point" to be inserted as an adjective in front of a base quantity name to indicate a threshold value. See the template for Temperature.
  • There is a standard name called: "snow + degree-day_threshold_temperature", but since there is no "degree-day_temperature", the name "snow + threshold_of_degree-day_temperature" doesn't make sense.


Time

  quantity_suffix = "time"

  Examples

channel_water__peak_time_of_volume_flow_rate
model__run_time
model__start_time
model__stop_time
model__time
  • The quantity "time" can refer to the specific time associated with an event, such as "mars__local_rise_time", or to a duration, as in "relaxation_time".
  • We may allow "time" to be used as a "quantity suffix" associated with an event like reaching a peak value. But this use case may also be handled using an operation prefix.
  • This is commonly used in the Process_name + Quantity Pattern, as in "start_time" and "stop_time". Recall that the "ing" ending of many process names is dropped. See CSDMS Process Names.
  • In hydrology, the terms "return time", "return period", "recurrence interval" and "flood frequency" are used to quantify the expected time between floods of a given size. See Period.
  • In astronomy, a "rise_time" and "set_time" can be defined for any celestial body and an observing location on Earth. See the US Navy's astronomical data services page. Note that these quantities require specifying two objects.
  • See Duration and Period.


Time Step

  quantity_suffix = "step"
  base_quantity = "time"
  "time_step"

  Examples

model__time_step
  • Note that "increment" and "step" are both quantity suffixes that do not change the units of the base quantity. "Step" is usually used when the base quantity is "time".
  • See Increment and Step.


Transmittance

  base_quantity = "transmittance"
  Examples of Specific Quantities:
  "spectral_transmittance"

  Examples

atmosphere_air_radiation~incoming~longwave__transmittance
  • Transmittance is the ratio of the power per unit area [W m-2] of electromagnetic radiation transmitted through something to the original, incident power per unit area (or irradiance). It is a dimensionless number between 0 and 1.
  • Absorptance + Reflectance + Transmittance = 1. See Absorptance and Reflectance above.
  • Various authors recommend using the terms: Absorptivity, Emissivity, Reflectivity and Transmissivity as properties of a pure material and Absorptance, Emittance, Reflectance and Transmittance as the analogous terms for the characteristics of a specimen or sample. See: Palmer, J.M. (1994) Chapter 25: The measurement of transmission, absorption, emission and reflection, Handbook of Optics, 2nd ed., Part II, M. Bass, editor, McGraw-Hill, NY. (A PDF file is available here.)
  • While "transmissivity" can mean the transmittance of a pure material (see above), it is also used for a concept in ground water hydrology.
  • The quantity "spectral transmittance" is the transmittance associated with a specific wavelength.



Unit-width (and similar) Quantities

  base_quantity

  Examples

human_blood_cell~red__count-per-volume
sea_surface_water_wave_crestline__power-per-length
  • CF Standard Names use "_across_unit_distance" and "_across_line" to handle this concept.
  • "unit_stream_power" is somewhat similar.
  • There are several other "per" concepts, such as:
  • The "z_integral_of_velocity" in the CSDMS Standard Names is the same as "unit-width discharge".
per_capita
per_unit_area
per_unit_length
per_unit_mass
per_unit_time
per_unit_width
 
  • These could possibly be used as adjective or modifier prefixes for a base quantity.


Velocity

  base_quantity = "speed"
  Examples of Specific Quantities:
  "darcy_speed"
  "drift_speed"
  "escape_speed"
  "fall_speed"
  "flow_speed"
  "group_speed"
  "impact_speed"
  "initial_speed"
  "phase_speed" (also called "celerity")
  "settling_speed"
  "terminal_fall_speed"

  base_quantity = "velocity"
  Examples of Specific Quantities:
  "darcy_velocity"
  "drift_velocity"
  "group_velocity"
  "impact_velocity"
  "initial_velocity"
  "phase_velocity" (vector field of wave rays)
  "shear_velocity" (also called "friction velocity")

  "azimuth_angle_of_velocity"
  "elevation_angle_of_velocity"
  "x_component_of_velocity"
  "y_component_of_velocity"
  "z_component_of_velocity"

  Examples

atmosphere_ball__fall_speed
atmosphere_ball__terminal_fall_speed     ### (air_ball__** sounds strange)
earth__escape_speed    (vs. escape_velocity)
electron__drift_speed
water_sand_grain__settling_speed     # (sand grain in water)
 
electron__x_component_of_drift_velocity
electron__y_component_of_drift_velocity
 
sea_water_flow__east_component_of_velocity
sea_water_flow__north_component_of_velocity
sea_water_flow__up_component_of_velocity
sea_water_flow__speed
sea_water_flow__x_component_of_velocity
sea_water_flow__y_component_of_velocity
  
sea_water_wave~internal~gravity__group_speed
sea_water_wave~internal~gravity__phase_speed
sea_surface_water_wave__group_speed    ## wave~gravity ??
sea_surface_water_wave__phase_speed
 
soil_water_flow__x_component_of_darcy_velocity
soil_water_flow__y_component_of_darcy_velocity
 
sea_surface_air_flow__magnitude_of_shear_velocity
sea_surface_air_flow__x_component_of_shear_velocity
sea_surface_air_flow__y_component_of_shear_velocity
  • Velocity is a vector quantity with a magnitude and a direction. Most models store the components of a velocity field as separate variables, in which case the operation component_of can be used as shown in the example above. (See the template for Component.) However, it is also possible that one model would request a complete vector field (i.e. all components) from another model as a single "quantity". Because of this, we need to allow "velocity" itself (a vector) as a base quantity name.
  • In addition to the "component_of" operation, there are several other operations that can be used to identify an attribute of a vector, such as: "magnitude_of", "azimuth_angle_of" and "elevation_angle_of". For 2D vector fields, only the azimuth angle applies, but for 3D vector fields the elevation angle (from spherical coordinates) is also required. See the CSDMS Operation Templates.
  • The quantity name darcy_velocity is used for 3D flow of water in soil to emphasize its macroscopic definition as a volume flux or "specific discharge". See the template for Attributes of Soil.
  • The magnitude of the shear_velocity is defined as the square root of the shear stress (at a boundary) divided by the mass density. It is also called the "friction velocity". Shear velocity is a vector quantity, and its direction is the same as the shear stress component used to define it.
  • The shorter quantity name "speed" is used in CSDMS standard names instead of "magnitude_of_velocity" but they mean the same thing. See Speed.
  • Note that terminal velocity (called "terminal_fall_speed" here) is a quantity that requires two objects to be specified, an object and the fluid through which it is falling. The Object-in-object Pattern is therefore used. In the context of a particle falling through water, the term "settling velocity" (called settling_speed here) is commonly used.
  • See the template for Speed.


Viscosity

  base_quantity = "viscosity"
  Examples of Specific Quantities:
  "apparent_viscosity"
  "dynamic_shear_viscosity"
  "dynamic_volume_viscosity"
  "eddy_viscosity"
  "extensional_viscosity"
  "kinematic_shear_viscosity"
  "kinematic_volume_viscosity"

  Examples

air__dynamic_shear_viscosity
air__dynamic_volume_viscosity
air__kinematic_shear_viscosity
air__kinematic_volume_viscosity
polymer__extensional_viscosity
sea_water__eddy_viscosity
water__dynamic_shear_viscosity
water__dynamic_volume_viscosity
water__kinematic_shear_viscosity
water__kinematic_volume_viscosity
water__x_z_component_of_viscosity
  • Viscosity is a tensor quantity and is decomposed into "shear" and "volume" components that are analogous to the "shear" and "normal" components used for stress, another tensor quantity. "bulk viscosity" is a synonym for volume viscosity which is important for compressible fluids but is less well-known than shear viscosity.
  • Since viscosity is really a tensor, we can refer to each of its possible components using the "component_of" operation; e.g. "x_z_component_of_viscosity".
  • Viscosity depends on temperature, so a reference temperature should be provided with an <assume> tag in a Model Metadata File. For an ideal gas, Sutherland's formula gives dynamic viscosity as a power-law function of temperature. For a dilute gas, the Chapman-Enskog equation can be used. For liquids, several different models are available; see: Temperature dependence of liquid viscosity.
  • Kinematic viscosity is just the dynamic viscosity divided by the density of the fluid. It is used in the definition of the Reynolds number.
  • "The "eddy viscosity" concept is used to parameterize small-scale details in models of turbulent flow. It is sometimes contrasted with "molecular viscosity". Also see the Diffusivity template.
  • The reciprocal of viscosity is called fluidity.


Voltage

  base_quantity = "voltage" [Volts = Joules per Coulomb]

  Examples

battery__voltage
appliance~electric__voltage
fence~electric__voltage


Vorticity

  base_quantity = "vorticity"
  Examples of Specific Quantities:
  "absolute_vorticity"
  "ertel_potential_vorticity" ### (a scalar quantity)
  "planetary_vorticity"
  "potential_vorticity"
  "relative_vorticity"

  Examples

sea_water_flow__down_component_of_vorticity
sea_water_flow__east_component_of_vorticity
sea_water_flow__magnitude_of_vorticity
sea_water_flow__north_component_of_vorticity
sea_water_flow__south_component_of_vorticity
sea_water_flow__up_component_of_vorticity
sea_water_flow__west_component_of_vorticity
sea_water_flow__x_component_of_vorticity
sea_water_flow__y_component_of_vorticity
sea_water_flow__z_component_of_vorticity
  • Vorticity is a vector quantity defined as the curl of a fluid velocity (vector) field. The quantity name for a component of the vorticity vector uses the "component_of" operation prefix as shown in the examples above. See the Component template.
  • Relative vorticity is the vorticity of air velocity relative to the Earth. When "vorticity" appears without an adjective, relative vorticity with respect to a fixed coordinate system is assumed. See: Relative vorticity.
  • Absolute vorticity is "relative vorticity" plus "planetary vorticity". See: Absolute vorticity.
  • Planetary vorticity is the vorticity associated with the rotation of the Earth.
  • Potential vorticity is absolute vorticity divided by the vertical spacing between levels of constant entropy. It seems that there are two types of potential vorticity. Ertel's potential vorticity (ertel_potential_vorticity) is a scalar quantity, defined as a dot product of absolute vorticity and the gradient of potential temperature. See: Potential vorticity.
  • Here, "flow" is used as a shorthand for "flow_field" in the object part of the name. This is an example of the Object Name + Model Name Pattern.
  • Since the curl of any gradient vector is zero, taking the curl of the Navier-Stokes equation eliminates the pressure gradient term.


Wavelength

  base_quantity = "wavelength"
  Examples of Specific Quantities:
  "compton_wavelength"
  "reduced_compton_wavelength"

  Examples

electron__compton_wavelength
sea_water_wave~internal~gravity__wavelength  (### or sea_internal_water_wave ??)
sea_surface_water_wave__wavelength
wave~airy__wavelength
wave~cnoidal__wavelength
wave~sine__wavelength
wave~stokes__wavelength
  • The wavelength is the distance between successive crests or troughs in a periodic function.
  • See the section called Attributes of Radiation above.


Wavenumber

  base_quantity = "wavenumber"

  Examples

sea_surface_water_wave__wavenumber
wave~airy__wavenumber
wave~cnoidal__wavenumber
wave~electromagnetic__wavenumber
wave~seismic__wavenumber
wave~stokes__wavenumber
  • "Wavenumber" is a basic property of a periodic function or waveform, along with amplitude and wavelength. It can be understood as a spatial frequency, in contrast to just frequency, which refers to a temporal frequency. Both wavenumber and frequency can be preceded with the word "angular" to define a different, but related quantity. See Frequency above.
  • The phase speed of a wave is equal to ratio of the wavelength and period. It is also equal to the ratio of the angular frequency and angular wavenumber.
  • A dispersion relation is a relationship between the wavenumber and frequency that is determined by the specific physics of a wave propagation problem.


Weight

  base_quantity = "weight"
  Examples of Specific Quantities:
  "volume-specific_weight"

  Examples

bear~alaskan~black__weight
  • The weight of an object has units of force and is the product of its mass and the standard gravity constant for the planet on which the weight is being measured. (It actually even depends on distance above the planet's surface.) Because of this, perhaps we should use quantity names like "earth-weight" (or even "earth-surface-weight") and "mars-weight", etc.
  • We could use "weight-per-volume" instead of "specific_weight".
  • What about "submerged weight" ?


Work

  base_quantity = "work"
  Examples of Specific Quantities:
  ""

  Examples

  • Work has units of energy and measures a change in energy due to a force being applied to an object over a distance.


Yield

  base_quantity = "yield"
  Examples of Specific Quantities:
  "specific_yield" (in groundwater modeling)

  Examples

basin_outlet_sediment__yield
  • In geology, "sediment yield" refers to the total mass of particulate matter (suspended or bedload) that reaches the outlet of a drainage basin over a fixed time interval. It has units of [mass / (area * time)] or [M L-2 T-1]. See: sediment yield.
  • In agriculture, "crop yield" refers to the total amount produced (e.g. kilograms or bushels) per unit area. See: Crop yield and Yield (wine).