quantitykind:MicroCanonicalPartitionFunction

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

Type
Description

A "Micro Canonical Partition Function" applies to a micro canonical ensemble, in which the system is allowed to exchange heat with the environment at fixed temperature, volume, and a fixed number of particles.

Properties
qudt:plainTextDescription
A "Micro Canonical Partition Function" applies to a micro canonical ensemble, in which the system is allowed to exchange heat with the environment at fixed temperature, volume, and a fixed number of particles.
qudt:latexDefinition
$\Omega = \sum_r 1$, where the sum is over all quantum states consistent with given energy. volume, external fields, and content.
qudt:latexSymbol
$\Omega$
Annotations
rdfs:comment
Applicable units are those of quantitykind:CanonicalPartitionFunction
dcterms:description
A "Micro Canonical Partition Function" applies to a micro canonical ensemble, in which the system is allowed to exchange heat with the environment at fixed temperature, volume, and a fixed number of particles.
rdfs:label
Micro 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:j.1="http://purl.org/dc/terms/"
    xmlns:owl="http://www.w3.org/2002/07/owl#"
    xmlns:j.2="http://www.w3.org/2004/02/skos/core#"
    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/MicroCanonicalPartitionFunction">
    <j.0:applicableUnit rdf:resource="http://qudt.org/vocab/unit/UNITLESS"/>
    <j.0:informativeReference rdf:datatype="http://www.w3.org/2001/XMLSchema#anyURI">http://en.wikipedia.org/wiki/Partition_function_(statistical_mechanics)#Grand_canonical_partition_function</j.0:informativeReference>
    <j.0:plainTextDescription>A "Micro Canonical Partition Function" applies to a micro canonical ensemble, in which the system is allowed to exchange heat with the environment at fixed temperature, volume, and a fixed number of particles.</j.0:plainTextDescription>
    <j.0:hasDimensionVector rdf:resource="http://qudt.org/vocab/dimensionvector/A0E0L0I0M0H0T0D1"/>
    <j.0:informativeReference rdf:datatype="http://www.w3.org/2001/XMLSchema#anyURI">http://en.wikipedia.org/wiki/Microcanonical_ensemble</j.0:informativeReference>
    <j.1:description rdf:datatype="http://qudt.org/schema/qudt/LatexString">A "Micro Canonical Partition Function" applies to a micro canonical ensemble, in which the system is allowed to exchange heat with the environment at fixed temperature, volume, and a fixed number of particles.</j.1:description>
    <rdf:type rdf:resource="http://qudt.org/schema/qudt/QuantityKind"/>
    <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:latexSymbol rdf:datatype="http://qudt.org/schema/qudt/LatexString">$\Omega$</j.0:latexSymbol>
    <j.2:broader rdf:resource="http://qudt.org/vocab/quantitykind/CanonicalPartitionFunction"/>
    <rdfs:comment>Applicable units are those of quantitykind:CanonicalPartitionFunction</rdfs:comment>
    <rdfs:isDefinedBy rdf:resource="http://qudt.org/2.1/vocab/quantitykind"/>
    <rdfs:label xml:lang="en">Micro Canonical Partition Function</rdfs:label>
    <j.0:latexDefinition rdf:datatype="http://qudt.org/schema/qudt/LatexString">$\Omega = \sum_r 1$, where the sum is over all quantum states consistent with given energy. volume, external fields, and content.</j.0:latexDefinition>
  </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/MicroCanonicalPartitionFunction>
  rdf:type <http://qudt.org/schema/qudt/QuantityKind> ;
  <http://purl.org/dc/terms/description> "A \"Micro Canonical Partition Function\" applies to a micro canonical ensemble, in which the system is allowed to exchange heat with the environment at fixed temperature, volume, and a fixed number of particles."^^<http://qudt.org/schema/qudt/LatexString> ;
  <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/Microcanonical_ensemble"^^xsd:anyURI ;
  <http://qudt.org/schema/qudt/informativeReference> "http://en.wikipedia.org/wiki/Partition_function_(statistical_mechanics)#Grand_canonical_partition_function"^^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> "$\\Omega = \\sum_r 1$, where the sum is over all quantum states consistent with given energy. volume, external fields, and content."^^<http://qudt.org/schema/qudt/LatexString> ;
  <http://qudt.org/schema/qudt/latexSymbol> "$\\Omega$"^^<http://qudt.org/schema/qudt/LatexString> ;
  <http://qudt.org/schema/qudt/plainTextDescription> "A \"Micro Canonical Partition Function\" applies to a micro canonical ensemble, in which the system is allowed to exchange heat with the environment at fixed temperature, volume, and a fixed number of particles." ;
  rdfs:comment "Applicable units are those of quantitykind:CanonicalPartitionFunction" ;
  rdfs:isDefinedBy <http://qudt.org/2.1/vocab/quantitykind> ;
  rdfs:label "Micro Canonical Partition Function"@en ;
  <http://www.w3.org/2004/02/skos/core#broader> <http://qudt.org/vocab/quantitykind/CanonicalPartitionFunction> ;
.
JSON
{"resource":"Micro Canonical Partition Function" 
 ,"qname":"quantitykind:MicroCanonicalPartitionFunction" 
 ,"uri":"http:\/\/qudt.org\/vocab\/quantitykind\/MicroCanonicalPartitionFunction" 
 ,"properties":["applicable unit":"unit:UNITLESS" 
    ,"comment":"Applicable units are those of quantitykind:CanonicalPartitionFunction" 
    ,"description":"A \"Micro Canonical Partition Function\" applies to a micro canonical ensemble, in which the system is allowed to exchange heat with the environment at fixed temperature, volume, and a fixed number of particles." 
    ,"description (plain text)":"A \"Micro Canonical Partition Function\" applies to a micro canonical ensemble, in which the system is allowed to exchange heat with the environment at fixed temperature, volume, and a fixed number of particles." 
    ,"has broader":"quantitykind:CanonicalPartitionFunction" 
    ,"has dimension vector":"dimension:A0E0L0I0M0H0T0D1" 
    ,"informative reference":"http:\/\/en.wikipedia.org\/wiki\/Microcanonical_ensemble" 
    ,"informative reference":"http:\/\/en.wikipedia.org\/wiki\/Partition_function_(statistical_mechanics)#Grand_canonical_partition_function" 
    ,"isDefinedBy":"&lt;http:\/\/qudt.org\/2.1\/vocab\/quantitykind&gt;" 
    ,"label":"Micro Canonical Partition Function" 
    ,"latex definition":"$\\Omega = \\sum_r 1$, where the sum is over all quantum states consistent with given energy. volume, external fields, and content." 
    ,"latex symbol":"$\\Omega$" 
    ,"normative reference (ISO)":"http:\/\/www.iso.org\/iso\/catalogue_detail?csnumber=31894" 
    ,"type":"qudt:QuantityKind" 
    ]}
JSON-LD
{
  "@id" : "http://qudt.org/vocab/quantitykind/MicroCanonicalPartitionFunction",
  "@type" : "http://qudt.org/schema/qudt/QuantityKind",
  "description" : "A \"Micro Canonical Partition Function\" applies to a micro canonical ensemble, in which the system is allowed to exchange heat with the environment at fixed temperature, volume, and a fixed number of particles.",
  "applicableUnit" : "http://qudt.org/vocab/unit/UNITLESS",
  "hasDimensionVector" : "http://qudt.org/vocab/dimensionvector/A0E0L0I0M0H0T0D1",
  "informativeReference" : [ "http://en.wikipedia.org/wiki/Partition_function_(statistical_mechanics)#Grand_canonical_partition_function", "http://en.wikipedia.org/wiki/Microcanonical_ensemble" ],
  "isoNormativeReference" : "http://www.iso.org/iso/catalogue_detail?csnumber=31894",
  "latexDefinition" : "$\\Omega = \\sum_r 1$, where the sum is over all quantum states consistent with given energy. volume, external fields, and content.",
  "latexSymbol" : "$\\Omega$",
  "plainTextDescription" : "A \"Micro Canonical Partition Function\" applies to a micro canonical ensemble, in which the system is allowed to exchange heat with the environment at fixed temperature, volume, and a fixed number of particles.",
  "comment" : "Applicable units are those of quantitykind:CanonicalPartitionFunction",
  "isDefinedBy" : "http://qudt.org/2.1/vocab/quantitykind",
  "label" : {
    "@language" : "en",
    "@value" : "Micro Canonical Partition Function"
  },
  "broader" : "http://qudt.org/vocab/quantitykind/CanonicalPartitionFunction",
  "@context" : {
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    },
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    "latexSymbol" : {
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    },
    "isDefinedBy" : {
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    },
    "label" : {
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    },
    "latexDefinition" : {
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    },
    "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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