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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    <rdfs:seeAlso rdf:resource="http://qudt.org/vocab/quantitykind/SpecificInternalEnergy"/>
    <rdfs:label xml:lang="en">Planck Function</rdfs:label>
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    <j.0:expression rdf:datatype="http://qudt.org/schema/qudt/LatexString">$B_{\nu}(T)$</j.0:expression>
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    <rdfs:seeAlso rdf:resource="http://qudt.org/vocab/quantitykind/SpecificEnergy"/>
    <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>
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    <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>
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    <rdfs:seeAlso rdf:resource="http://qudt.org/vocab/quantitykind/MassieuFunction"/>
    <rdfs:seeAlso rdf:resource="http://qudt.org/vocab/quantitykind/SpecificHelmholtzEnergy"/>
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TURTLE
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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> ;
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  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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