quantitykind:PlanckFunction

URI: http://qudt.org/vocab/quantitykind/PlanckFunction

Type

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.

Properties

qudt:hasDimensionVector

qudt:informativeReference

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:isoNormativeReference

rdf:type

Annotations

dcterms:description

qudt:expression

rdfs:isDefinedBy

rdfs:label

rdfs:seeAlso

View as: CSV

Work in progress

RDF/XML

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    xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > 
  <rdf:Description rdf:about="http://qudt.org/vocab/quantitykind/PlanckFunction">
    <j.0:isoNormativeReference rdf:datatype="http://www.w3.org/2001/XMLSchema#anyURI">http://www.iso.org/iso/catalogue_detail?csnumber=31890</j.0:isoNormativeReference>
    <rdfs:seeAlso rdf:resource="http://qudt.org/vocab/quantitykind/SpecificInternalEnergy"/>
    <j.0:expression rdf:datatype="http://qudt.org/schema/qudt/LatexString">\(B_{\nu}(T)\)</j.0:expression>
    <rdfs:label xml:lang="en">Planck Function</rdfs:label>
    <j.0:latexDefinition rdf:datatype="http://qudt.org/schema/qudt/LatexString">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.</j.0:latexDefinition>
    <j.0:informativeReference rdf:datatype="http://www.w3.org/2001/XMLSchema#anyURI">http://pds-atmospheres.nmsu.edu/education_and_outreach/encyclopedia/planck_function.htm</j.0:informativeReference>
    <rdf:type rdf:resource="http://qudt.org/schema/qudt/QuantityKind"/>
    <j.0:informativeReference rdf:datatype="http://www.w3.org/2001/XMLSchema#anyURI">http://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/19680008986_1968008986.pdf</j.0:informativeReference>
    <j.0:informativeReference rdf:datatype="http://www.w3.org/2001/XMLSchema#anyURI">http://www.star.nesdis.noaa.gov/smcd/spb/calibration/planck.html</j.0:informativeReference>
    <rdfs:seeAlso rdf:resource="http://qudt.org/vocab/quantitykind/SpecificEnergy"/>
    <rdfs:seeAlso rdf:resource="http://qudt.org/vocab/quantitykind/SpecificEnthalpy"/>
    <rdfs:isDefinedBy rdf:resource="http://qudt.org/2.1/vocab/quantitykind"/>
    <j.0:hasDimensionVector rdf:resource="http://qudt.org/vocab/dimensionvector/A0E0L2I0M1H0T-2D0"/>
    <rdfs:seeAlso rdf:resource="http://qudt.org/vocab/quantitykind/SpecificGibbsEnergy"/>
    <j.1:description rdf:datatype="http://qudt.org/schema/qudt/LatexString">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.</j.1:description>
    <rdfs:seeAlso rdf:resource="http://qudt.org/vocab/quantitykind/MassieuFunction"/>
    <rdfs:seeAlso rdf:resource="http://qudt.org/vocab/quantitykind/SpecificHelmholtzEnergy"/>
  </rdf:Description>
</rdf:RDF>

TURTLE

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@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#> .

<http://qudt.org/vocab/quantitykind/PlanckFunction>
  rdf:type <http://qudt.org/schema/qudt/QuantityKind> ;
  <http://purl.org/dc/terms/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."^^<http://qudt.org/schema/qudt/LatexString> ;
  <http://qudt.org/schema/qudt/expression> "\\(B_{\\nu}(T)\\)"^^<http://qudt.org/schema/qudt/LatexString> ;
  <http://qudt.org/schema/qudt/hasDimensionVector> <http://qudt.org/vocab/dimensionvector/A0E0L2I0M1H0T-2D0> ;
  <http://qudt.org/schema/qudt/informativeReference> "http://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/19680008986_1968008986.pdf"^^xsd:anyURI ;
  <http://qudt.org/schema/qudt/informativeReference> "http://pds-atmospheres.nmsu.edu/education_and_outreach/encyclopedia/planck_function.htm"^^xsd:anyURI ;
  <http://qudt.org/schema/qudt/informativeReference> "http://www.star.nesdis.noaa.gov/smcd/spb/calibration/planck.html"^^xsd:anyURI ;
  <http://qudt.org/schema/qudt/isoNormativeReference> "http://www.iso.org/iso/catalogue_detail?csnumber=31890"^^xsd:anyURI ;
  <http://qudt.org/schema/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."""^^<http://qudt.org/schema/qudt/LatexString> ;
  rdfs:isDefinedBy <http://qudt.org/2.1/vocab/quantitykind> ;
  rdfs:label "Planck Function"@en ;
  rdfs:seeAlso <http://qudt.org/vocab/quantitykind/MassieuFunction> ;
  rdfs:seeAlso <http://qudt.org/vocab/quantitykind/SpecificEnergy> ;
  rdfs:seeAlso <http://qudt.org/vocab/quantitykind/SpecificEnthalpy> ;
  rdfs:seeAlso <http://qudt.org/vocab/quantitykind/SpecificGibbsEnergy> ;
  rdfs:seeAlso <http://qudt.org/vocab/quantitykind/SpecificHelmholtzEnergy> ;
  rdfs:seeAlso <http://qudt.org/vocab/quantitykind/SpecificInternalEnergy> ;
.

JSON

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    ,"label":"Planck Function" 
    ,"latex definition":"The Planck function, \\(B_{\\tilde{\\nu}}(T)\\), is given by:\n\\(B_{\\nu}(T) = \\frac{2h c^2\\tilde{\\nu}^3}{e^{hc \/ k \\tilde{\\nu} T}-1}\\)\nwhere, \\(\\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." 
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    ,"seeAlso":"quantitykind:MassieuFunction" 
    ,"seeAlso":"quantitykind:SpecificEnergy" 
    ,"seeAlso":"quantitykind:SpecificEnthalpy" 
    ,"seeAlso":"quantitykind:SpecificGibbsEnergy" 
    ,"seeAlso":"quantitykind:SpecificHelmholtzEnergy" 
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JSON-LD

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  "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.",
  "expression" : "\\(B_{\\nu}(T)\\)",
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  "isDefinedBy" : "http://qudt.org/2.1/vocab/quantitykind",
  "label" : {
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    "@value" : "Planck Function"
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