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: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.
Annotations
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:expression
\(B_{\nu}(T)\)
rdfs:label
Planck Function(en)
View as:  CSV

Work in progress

RDF/XML
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    xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > 
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    <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"/>
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    <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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  <http://qudt.org/schema/qudt/hasDimensionVector> <http://qudt.org/vocab/dimensionvector/A0E0L2I0M1H0T-2D0> ;
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  <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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JSON-LD
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