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: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
http://www.iso.org/iso/catalogue_detail?csnumber=31890
rdf:type
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
$B_{\nu}(T)$
qudt:informativeReference
http://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/19680008986_1968008986.pdf
http://pds-atmospheres.nmsu.edu/education_and_outreach/encyclopedia/planck_function.htm
http://www.star.nesdis.noaa.gov/smcd/spb/calibration/planck.html
rdfs:isDefinedBy
rdfs:label
Planck Function(en)
rdfs:seeAlso
View as:  CSV

Work in progress

RDF/XML 
<rdf:RDF
    xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
    xmlns:j.0="http://qudt.org/schema/qudt/"
    xmlns:j.1="http://purl.org/dc/terms/"
    xmlns:owl="http://www.w3.org/2002/07/owl#"
    xmlns:rdfs="http://www.w3.org/2000/01/rdf-schema#"
    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"/>
    <rdfs:label xml:lang="en">Planck Function</rdfs:label>
    <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:expression rdf:datatype="http://qudt.org/schema/qudt/LatexString">$B_{\nu}(T)$</j.0:expression>
    <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"/>
    <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/SpecificEnthalpy"/>
    <rdfs:isDefinedBy rdf:resource="http://qudt.org/2.1/vocab/quantitykind"/>
    <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:hasDimensionVector rdf:resource="http://qudt.org/vocab/dimensionvector/A0E0L2I0M1H0T-2D0"/>
    <rdfs:seeAlso rdf:resource="http://qudt.org/vocab/quantitykind/SpecificGibbsEnergy"/>
    <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 
@prefix owl: <http://www.w3.org/2002/07/owl#> .
@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 
{"resource":"Planck Function" 
 ,"qname":"quantitykind:PlanckFunction" 
 ,"uri":"http:\/\/qudt.org\/vocab\/quantitykind\/PlanckFunction" 
 ,"properties":["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":"$B_{\\nu}(T)$" 
    ,"has dimension vector":"dimension:A0E0L2I0M1H0T-2D0" 
    ,"informative reference":"http:\/\/ntrs.nasa.gov\/archive\/nasa\/casi.ntrs.nasa.gov\/19680008986_1968008986.pdf" 
    ,"informative reference":"http:\/\/pds-atmospheres.nmsu.edu\/education_and_outreach\/encyclopedia\/planck_function.htm" 
    ,"informative reference":"http:\/\/www.star.nesdis.noaa.gov\/smcd\/spb\/calibration\/planck.html" 
    ,"isDefinedBy":"&lt;http:\/\/qudt.org\/2.1\/vocab\/quantitykind&gt;" 
    ,"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." 
    ,"normative reference (ISO)":"http:\/\/www.iso.org\/iso\/catalogue_detail?csnumber=31890" 
    ,"seeAlso":"quantitykind:MassieuFunction" 
    ,"seeAlso":"quantitykind:SpecificEnergy" 
    ,"seeAlso":"quantitykind:SpecificEnthalpy" 
    ,"seeAlso":"quantitykind:SpecificGibbsEnergy" 
    ,"seeAlso":"quantitykind:SpecificHelmholtzEnergy" 
    ,"seeAlso":"quantitykind:SpecificInternalEnergy" 
    ,"type":"qudt:QuantityKind" 
    ]}
JSON-LD 
{
  "@id" : "http://qudt.org/vocab/quantitykind/PlanckFunction",
  "@type" : "http://qudt.org/schema/qudt/QuantityKind",
  "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" : "$B_{\\nu}(T)$",
  "hasDimensionVector" : "http://qudt.org/vocab/dimensionvector/A0E0L2I0M1H0T-2D0",
  "informativeReference" : [ "http://pds-atmospheres.nmsu.edu/education_and_outreach/encyclopedia/planck_function.htm", "http://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/19680008986_1968008986.pdf", "http://www.star.nesdis.noaa.gov/smcd/spb/calibration/planck.html" ],
  "isoNormativeReference" : "http://www.iso.org/iso/catalogue_detail?csnumber=31890",
  "latexDefinition" : "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.",
  "isDefinedBy" : "http://qudt.org/2.1/vocab/quantitykind",
  "label" : {
    "@language" : "en",
    "@value" : "Planck Function"
  },
  "seeAlso" : [ "http://qudt.org/vocab/quantitykind/SpecificInternalEnergy", "http://qudt.org/vocab/quantitykind/SpecificEnergy", "http://qudt.org/vocab/quantitykind/SpecificEnthalpy", "http://qudt.org/vocab/quantitykind/SpecificGibbsEnergy", "http://qudt.org/vocab/quantitykind/MassieuFunction", "http://qudt.org/vocab/quantitykind/SpecificHelmholtzEnergy" ],
  "@context" : {
    "isoNormativeReference" : {
      "@id" : "http://qudt.org/schema/qudt/isoNormativeReference",
      "@type" : "http://www.w3.org/2001/XMLSchema#anyURI"
    },
    "seeAlso" : {
      "@id" : "http://www.w3.org/2000/01/rdf-schema#seeAlso",
      "@type" : "@id"
    },
    "label" : {
      "@id" : "http://www.w3.org/2000/01/rdf-schema#label"
    },
    "informativeReference" : {
      "@id" : "http://qudt.org/schema/qudt/informativeReference",
      "@type" : "http://www.w3.org/2001/XMLSchema#anyURI"
    },
    "expression" : {
      "@id" : "http://qudt.org/schema/qudt/expression",
      "@type" : "http://qudt.org/schema/qudt/LatexString"
    },
    "description" : {
      "@id" : "http://purl.org/dc/terms/description",
      "@type" : "http://qudt.org/schema/qudt/LatexString"
    },
    "isDefinedBy" : {
      "@id" : "http://www.w3.org/2000/01/rdf-schema#isDefinedBy",
      "@type" : "@id"
    },
    "latexDefinition" : {
      "@id" : "http://qudt.org/schema/qudt/latexDefinition",
      "@type" : "http://qudt.org/schema/qudt/LatexString"
    },
    "hasDimensionVector" : {
      "@id" : "http://qudt.org/schema/qudt/hasDimensionVector",
      "@type" : "@id"
    },
    "rdf" : "http://www.w3.org/1999/02/22-rdf-syntax-ns#",
    "owl" : "http://www.w3.org/2002/07/owl#",
    "xsd" : "http://www.w3.org/2001/XMLSchema#",
    "rdfs" : "http://www.w3.org/2000/01/rdf-schema#"
  }
}
Generated 2024-04-25T16:11:18.794-04:00 by lmdoc version 1.1 with  TopBraid SPARQL Web Pages (SWP)