quantitykind:CanonicalPartitionFunction

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

Type
Description

Properties
qudt:plainTextDescription
A "Canonical Partition Function" applies to a canonical ensemble, in which the system is allowed to exchange heat with the environment at fixed temperature, volume, and number of particles.
qudt:latexDefinition
\(Z = \sum_r e^{-\frac{E_r}{kT}}\), where the sum is over all quantum states consistent with given energy, volume, external fields, and content, \(E_r\) is the energy in the \(rth\) quantum state, \(k\) is the Boltzmann constant, and \(T\) is thermodynamic temperature.
Annotations
rdfs:label
Canonical Partition Function(en)
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: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/CanonicalPartitionFunction">
    <j.0:plainTextDescription>A "Canonical Partition Function" applies to a canonical ensemble, in which the system is allowed to exchange heat with the environment at fixed temperature, volume, and number of particles.</j.0:plainTextDescription>
    <j.0:hasDimensionVector rdf:resource="http://qudt.org/vocab/dimensionvector/A0E0L0I0M0H0T0D1"/>
    <j.0:symbol>Z</j.0:symbol>
    <rdfs:label xml:lang="en">Canonical Partition Function</rdfs:label>
    <j.0:applicableUnit rdf:resource="http://qudt.org/vocab/unit/UNITLESS"/>
    <j.0:isoNormativeReference rdf:datatype="http://www.w3.org/2001/XMLSchema#anyURI">http://www.iso.org/iso/catalogue_detail?csnumber=31894</j.0:isoNormativeReference>
    <j.0:latexDefinition rdf:datatype="http://qudt.org/schema/qudt/LatexString">\(Z = \sum_r e^{-\frac{E_r}{kT}}\), where the sum is over all quantum states consistent with given energy, volume, external fields, and content, \(E_r\) is the energy in the \(rth\) quantum state, \(k\) is the Boltzmann constant, and \(T\) is thermodynamic temperature.</j.0:latexDefinition>
    <rdfs:isDefinedBy rdf:resource="http://qudt.org/2.1/vocab/quantitykind"/>
    <rdf:type rdf:resource="http://qudt.org/schema/qudt/QuantityKind"/>
    <j.0:informativeReference rdf:datatype="http://www.w3.org/2001/XMLSchema#anyURI">http://en.wikipedia.org/wiki/Partition_function_(statistical_mechanics)</j.0:informativeReference>
  </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/CanonicalPartitionFunction>
  rdf:type <http://qudt.org/schema/qudt/QuantityKind> ;
  <http://qudt.org/schema/qudt/applicableUnit> <http://qudt.org/vocab/unit/UNITLESS> ;
  <http://qudt.org/schema/qudt/hasDimensionVector> <http://qudt.org/vocab/dimensionvector/A0E0L0I0M0H0T0D1> ;
  <http://qudt.org/schema/qudt/informativeReference> "http://en.wikipedia.org/wiki/Partition_function_(statistical_mechanics)"^^xsd:anyURI ;
  <http://qudt.org/schema/qudt/isoNormativeReference> "http://www.iso.org/iso/catalogue_detail?csnumber=31894"^^xsd:anyURI ;
  <http://qudt.org/schema/qudt/latexDefinition> "\\(Z = \\sum_r e^{-\\frac{E_r}{kT}}\\), where the sum is over all quantum states consistent with given energy, volume, external fields, and content, \\(E_r\\) is the energy in the \\(rth\\) quantum state, \\(k\\) is the Boltzmann constant, and \\(T\\) is thermodynamic temperature."^^<http://qudt.org/schema/qudt/LatexString> ;
  <http://qudt.org/schema/qudt/plainTextDescription> "A \"Canonical Partition Function\" applies to a canonical ensemble, in which the system is allowed to exchange heat with the environment at fixed temperature, volume, and number of particles." ;
  <http://qudt.org/schema/qudt/symbol> "Z" ;
  rdfs:isDefinedBy <http://qudt.org/2.1/vocab/quantitykind> ;
  rdfs:label "Canonical Partition Function"@en ;
.
JSON
{"resource":"Canonical Partition Function" 
 ,"qname":"quantitykind:CanonicalPartitionFunction" 
 ,"uri":"http:\/\/qudt.org\/vocab\/quantitykind\/CanonicalPartitionFunction" 
 ,"properties":["applicable unit":"unit:UNITLESS" 
    ,"description (plain text)":"A \"Canonical Partition Function\" applies to a canonical ensemble, in which the system is allowed to exchange heat with the environment at fixed temperature, volume, and number of particles." 
    ,"has dimension vector":"dimension:A0E0L0I0M0H0T0D1" 
    ,"informative reference":"http:\/\/en.wikipedia.org\/wiki\/Partition_function_(statistical_mechanics)" 
    ,"isDefinedBy":"&lt;http:\/\/qudt.org\/2.1\/vocab\/quantitykind&gt;" 
    ,"label":"Canonical Partition Function" 
    ,"latex definition":"\\(Z = \\sum_r e^{-\\frac{E_r}{kT}}\\), where the sum is over all quantum states consistent with given energy, volume, external fields, and content, \\(E_r\\) is the energy in the \\(rth\\) quantum state, \\(k\\) is the Boltzmann constant, and \\(T\\) is thermodynamic temperature." 
    ,"normative reference (ISO)":"http:\/\/www.iso.org\/iso\/catalogue_detail?csnumber=31894" 
    ,"symbol":"Z" 
    ,"type":"qudt:QuantityKind" 
    ]}
JSON-LD
{
  "@id" : "http://qudt.org/vocab/quantitykind/CanonicalPartitionFunction",
  "@type" : "http://qudt.org/schema/qudt/QuantityKind",
  "applicableUnit" : "http://qudt.org/vocab/unit/UNITLESS",
  "hasDimensionVector" : "http://qudt.org/vocab/dimensionvector/A0E0L0I0M0H0T0D1",
  "informativeReference" : "http://en.wikipedia.org/wiki/Partition_function_(statistical_mechanics)",
  "isoNormativeReference" : "http://www.iso.org/iso/catalogue_detail?csnumber=31894",
  "latexDefinition" : "\\(Z = \\sum_r e^{-\\frac{E_r}{kT}}\\), where the sum is over all quantum states consistent with given energy, volume, external fields, and content, \\(E_r\\) is the energy in the \\(rth\\) quantum state, \\(k\\) is the Boltzmann constant, and \\(T\\) is thermodynamic temperature.",
  "plainTextDescription" : "A \"Canonical Partition Function\" applies to a canonical ensemble, in which the system is allowed to exchange heat with the environment at fixed temperature, volume, and number of particles.",
  "symbol" : "Z",
  "isDefinedBy" : "http://qudt.org/2.1/vocab/quantitykind",
  "label" : {
    "@language" : "en",
    "@value" : "Canonical Partition Function"
  },
  "@context" : {
    "plainTextDescription" : {
      "@id" : "http://qudt.org/schema/qudt/plainTextDescription"
    },
    "hasDimensionVector" : {
      "@id" : "http://qudt.org/schema/qudt/hasDimensionVector",
      "@type" : "@id"
    },
    "symbol" : {
      "@id" : "http://qudt.org/schema/qudt/symbol"
    },
    "label" : {
      "@id" : "http://www.w3.org/2000/01/rdf-schema#label"
    },
    "applicableUnit" : {
      "@id" : "http://qudt.org/schema/qudt/applicableUnit",
      "@type" : "@id"
    },
    "isoNormativeReference" : {
      "@id" : "http://qudt.org/schema/qudt/isoNormativeReference",
      "@type" : "http://www.w3.org/2001/XMLSchema#anyURI"
    },
    "latexDefinition" : {
      "@id" : "http://qudt.org/schema/qudt/latexDefinition",
      "@type" : "http://qudt.org/schema/qudt/LatexString"
    },
    "isDefinedBy" : {
      "@id" : "http://www.w3.org/2000/01/rdf-schema#isDefinedBy",
      "@type" : "@id"
    },
    "informativeReference" : {
      "@id" : "http://qudt.org/schema/qudt/informativeReference",
      "@type" : "http://www.w3.org/2001/XMLSchema#anyURI"
    },
    "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#"
  }
}

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