@prefix rdf: <http://www.w3.org/1999/02/22-rdf-syntax-ns#> .
@prefix rdfs: <http://www.w3.org/2000/01/rdf-schema#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .
@prefix owl: <http://www.w3.org/2002/07/owl#> .
@prefix constant: <http://qudt.org/vocab/constant/> .
@prefix dc: <http://purl.org/dc/elements/1.1/> .
@prefix dcterms: <http://purl.org/dc/terms/> .
@prefix prov: <http://www.w3.org/ns/prov#> .
@prefix qkdv: <http://qudt.org/vocab/dimensionvector/> .
@prefix quantitykind: <http://qudt.org/vocab/quantitykind/> .
@prefix qudt: <http://qudt.org/schema/qudt/> .
@prefix si-quantity: <https://si-digital-framework.org/quantities/> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .
@prefix unit: <http://qudt.org/vocab/unit/> .
@prefix vaem: <http://www.linkedmodel.org/schema/vaem#> .
@prefix voag: <http://voag.linkedmodel.org/schema/voag#> .

quantitykind:PlanckFunction
  a qudt:QuantityKind ;
  dcterms:description "The $\\textit{Planck function}$ is used to compute the radiance emitted from objects that radiate like a perfect \"Black Body\". The inverse of the $\\textit{Planck Function}$ is used to find the $\\textit{Brightness Temperature}$ of an object. The precise formula for the Planck Function depends on whether the radiance is determined on a $\\textit{per unit wavelength}$ or a $\\textit{per unit frequency}$. In the ISO System of Quantities, $\\textit{Planck Function}$ is defined by the formula: $Y = -G/T$, where $G$ is Gibbs Energy and $T$ is thermodynamic temperature."^^qudt:LatexString ;
  qudt:expression "$B_{\\nu}(T)$"^^qudt:LatexString ;
  qudt:hasDimensionVector qkdv:A0E0L2I0M1H0T-2D0 ;
  qudt:informativeReference "http://pds-atmospheres.nmsu.edu/education_and_outreach/encyclopedia/planck_function.htm"^^xsd:anyURI ;
  qudt:informativeReference "http://www.star.nesdis.noaa.gov/smcd/spb/calibration/planck.html"^^xsd:anyURI ;
  qudt:isoNormativeReference "http://www.iso.org/iso/catalogue_detail?csnumber=31890"^^xsd:anyURI ;
  qudt:latexDefinition """The Planck function, $B_{\\tilde{\\nu}}(T)$, is given by:
$B_{\\nu}(T) = \\frac{2h c^2\\tilde{\\nu}^3}{e^{hc / k \\tilde{\\nu} T}-1}$
where, $\\tilde{\\nu}$ is wavelength, $h$ is Planck's Constant, $k$ is Boltzman's Constant, $c$ is the speed of light in a vacuum, $T$ is thermodynamic temperature."""^^qudt:LatexString ;
  qudt:wikidataMatch <http://www.wikidata.org/entity/Q76364998> ;
  rdfs:isDefinedBy <http://qudt.org/3.2.1/vocab/quantitykind> ;
  rdfs:label "Planck Function"@en ;
  rdfs:seeAlso quantitykind:MassieuFunction ;
  rdfs:seeAlso quantitykind:SpecificEnergy ;
  rdfs:seeAlso quantitykind:SpecificEnthalpy ;
  rdfs:seeAlso quantitykind:SpecificGibbsEnergy ;
  rdfs:seeAlso quantitykind:SpecificHelmholtzEnergy ;
  rdfs:seeAlso quantitykind:SpecificInternalEnergy .