quantitykind:AngularWavenumber

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

Type
Description

"wavenumber" is the spatial frequency of a wave - the number of waves that exist over a specified distance. More formally, it is the reciprocal of the wavelength. It is also the magnitude of the wave vector.

Properties
qudt:plainTextDescription
"wavenumber" is the spatial frequency of a wave - the number of waves that exist over a specified distance. More formally, it is the reciprocal of the wavelength. It is also the magnitude of the wave vector.
qudt:latexDefinition
\(k = \frac{2\pi}{\lambda}= \frac{2\pi\upsilon}{\upsilon_p}=\frac{\omega}{\upsilon_p}\), where \(\upsilon\) is the frequency of the wave, \(\lambda\) is the wavelength, \(\omega = 2\pi \upsilon\) is the angular frequency of the wave, and \(\upsilon_p\) is the phase velocity of the wave. Alternatively: \(k = \frac{p}{\hbar}\), where \(p\) is the linear momentum of quasi free electrons in an electron gas and \(\hbar\) is the reduced Planck constant (\(h\) divided by \(2\pi\)); for phonons, its magnitude is \(k = \frac{2\pi}{\lambda}\), where \(\lambda\) is the wavelength of the lattice vibrations.
Annotations
dcterms:description
"wavenumber" is the spatial frequency of a wave - the number of waves that exist over a specified distance. More formally, it is the reciprocal of the wavelength. It is also the magnitude of the wave vector.
rdfs:label
Kreisrepetenz(de)
Kreiswellenzahl(de)
angular repetency(en)
angular wavenumber(en)
liczba falowa kątowa(pl)
nombre d'onde angulaire(fr)
numero d'onda angolare(it)
número de onda angular(es)
número de onda angular(pt)
repetencja kątowa(pl)
repetência angular(pt)
répétence angulaire(fr)
تكرار زاوى(ar)
عدد موجى زاوى(ar)
角波数(ja)
角波数(zh)
vaem:todo
belongs to SOQ-ISO
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:j.2="http://www.linkedmodel.org/schema/vaem#"
    xmlns:owl="http://www.w3.org/2002/07/owl#"
    xmlns:j.3="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/AngularWavenumber">
    <rdf:type rdf:resource="http://qudt.org/schema/qudt/QuantityKind"/>
    <rdfs:label xml:lang="pt">repetência angular</rdfs:label>
    <j.3:broader rdf:resource="http://qudt.org/vocab/quantitykind/InverseLength"/>
    <rdfs:label xml:lang="ar">عدد موجى زاوى</rdfs:label>
    <rdfs:label xml:lang="en">angular wavenumber</rdfs:label>
    <j.0:applicableUnit rdf:resource="http://qudt.org/vocab/unit/RAD-PER-M"/>
    <rdfs:label xml:lang="zh">角波数</rdfs:label>
    <rdfs:label xml:lang="ja">角波数</rdfs:label>
    <j.0:latexDefinition rdf:datatype="http://qudt.org/schema/qudt/LatexString">\(k = \frac{2\pi}{\lambda}= \frac{2\pi\upsilon}{\upsilon_p}=\frac{\omega}{\upsilon_p}\), where \(\upsilon\) is the frequency of the wave, \(\lambda\) is the wavelength, \(\omega = 2\pi \upsilon\) is the angular frequency of the wave, and \(\upsilon_p\) is the phase velocity of the wave.

Alternatively:

\(k = \frac{p}{\hbar}\), where \(p\) is the linear momentum of quasi free electrons in an electron gas and \(\hbar\) is the reduced Planck constant (\(h\) divided by \(2\pi\)); for phonons, its magnitude is \(k = \frac{2\pi}{\lambda}\), where \(\lambda\) is the wavelength of the lattice vibrations.</j.0:latexDefinition>
    <rdfs:label xml:lang="pl">repetencja kątowa</rdfs:label>
    <rdfs:label xml:lang="fr">nombre d'onde angulaire</rdfs:label>
    <j.1:description rdf:datatype="http://www.w3.org/1999/02/22-rdf-syntax-ns#HTML">"wavenumber" is the spatial frequency of a wave - the number of waves that exist over a specified distance. More formally, it is the reciprocal of the wavelength. It is also the magnitude of the wave vector.</j.1:description>
    <j.0:hasDimensionVector rdf:resource="http://qudt.org/vocab/dimensionvector/A0E0L-1I0M0H0T0D0"/>
    <rdfs:label xml:lang="it">numero d'onda angolare</rdfs:label>
    <rdfs:label xml:lang="en">angular repetency</rdfs:label>
    <rdfs:label xml:lang="es">número de onda angular</rdfs:label>
    <rdfs:label xml:lang="pt">número de onda angular</rdfs:label>
    <j.0:symbol>k</j.0:symbol>
    <j.0:isoNormativeReference rdf:datatype="http://www.w3.org/2001/XMLSchema#anyURI">http://www.iso.org/iso/catalogue_detail?csnumber=31897</j.0:isoNormativeReference>
    <j.0:informativeReference rdf:datatype="http://www.w3.org/2001/XMLSchema#anyURI">http://en.wikipedia.org/wiki/Wavenumber</j.0:informativeReference>
    <j.2:todo>belongs to SOQ-ISO</j.2:todo>
    <rdfs:label xml:lang="de">Kreiswellenzahl</rdfs:label>
    <j.0:plainTextDescription>"wavenumber" is the spatial frequency of a wave - the number of waves that exist over a specified distance. More formally, it is the reciprocal of the wavelength. It is also the magnitude of the wave vector.</j.0:plainTextDescription>
    <rdfs:label xml:lang="de">Kreisrepetenz</rdfs:label>
    <rdfs:label xml:lang="pl">liczba falowa kątowa</rdfs:label>
    <rdfs:isDefinedBy rdf:resource="http://qudt.org/2.1/vocab/quantitykind"/>
    <rdfs:label xml:lang="fr">répétence angulaire</rdfs:label>
    <rdfs:label xml:lang="ar">تكرار زاوى</rdfs:label>
  </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/AngularWavenumber>
  rdf:type <http://qudt.org/schema/qudt/QuantityKind> ;
  <http://purl.org/dc/terms/description> "\"wavenumber\" is the spatial frequency of a wave - the number of waves that exist over a specified distance. More formally, it is the reciprocal of the wavelength. It is also the magnitude of the wave vector."^^rdf:HTML ;
  <http://qudt.org/schema/qudt/applicableUnit> <http://qudt.org/vocab/unit/RAD-PER-M> ;
  <http://qudt.org/schema/qudt/hasDimensionVector> <http://qudt.org/vocab/dimensionvector/A0E0L-1I0M0H0T0D0> ;
  <http://qudt.org/schema/qudt/informativeReference> "http://en.wikipedia.org/wiki/Wavenumber"^^xsd:anyURI ;
  <http://qudt.org/schema/qudt/isoNormativeReference> "http://www.iso.org/iso/catalogue_detail?csnumber=31897"^^xsd:anyURI ;
  <http://qudt.org/schema/qudt/latexDefinition> """\\(k = \\frac{2\\pi}{\\lambda}= \\frac{2\\pi\\upsilon}{\\upsilon_p}=\\frac{\\omega}{\\upsilon_p}\\), where \\(\\upsilon\\) is the frequency of the wave, \\(\\lambda\\) is the wavelength, \\(\\omega = 2\\pi \\upsilon\\) is the angular frequency of the wave, and \\(\\upsilon_p\\) is the phase velocity of the wave.

Alternatively:

\\(k = \\frac{p}{\\hbar}\\), where \\(p\\) is the linear momentum of quasi free electrons in an electron gas and \\(\\hbar\\) is the reduced Planck constant (\\(h\\) divided by \\(2\\pi\\)); for phonons, its magnitude is \\(k = \\frac{2\\pi}{\\lambda}\\), where \\(\\lambda\\) is the wavelength of the lattice vibrations."""^^<http://qudt.org/schema/qudt/LatexString> ;
  <http://qudt.org/schema/qudt/plainTextDescription> "\"wavenumber\" is the spatial frequency of a wave - the number of waves that exist over a specified distance. More formally, it is the reciprocal of the wavelength. It is also the magnitude of the wave vector." ;
  <http://qudt.org/schema/qudt/symbol> "k" ;
  <http://www.linkedmodel.org/schema/vaem#todo> "belongs to SOQ-ISO" ;
  rdfs:isDefinedBy <http://qudt.org/2.1/vocab/quantitykind> ;
  rdfs:label "Kreisrepetenz"@de ;
  rdfs:label "Kreiswellenzahl"@de ;
  rdfs:label "angular repetency"@en ;
  rdfs:label "angular wavenumber"@en ;
  rdfs:label "liczba falowa kątowa"@pl ;
  rdfs:label "nombre d'onde angulaire"@fr ;
  rdfs:label "numero d'onda angolare"@it ;
  rdfs:label "número de onda angular"@es ;
  rdfs:label "número de onda angular"@pt ;
  rdfs:label "repetencja kątowa"@pl ;
  rdfs:label "repetência angular"@pt ;
  rdfs:label "répétence angulaire"@fr ;
  rdfs:label "تكرار زاوى"@ar ;
  rdfs:label "عدد موجى زاوى"@ar ;
  rdfs:label "角波数"@ja ;
  rdfs:label "角波数"@zh ;
  <http://www.w3.org/2004/02/skos/core#broader> <http://qudt.org/vocab/quantitykind/InverseLength> ;
.
JSON
{"resource":"angular wavenumber" 
 ,"qname":"quantitykind:AngularWavenumber" 
 ,"uri":"http:\/\/qudt.org\/vocab\/quantitykind\/AngularWavenumber" 
 ,"properties":["applicable unit":"unit:RAD-PER-M" 
    ,"description":"\"wavenumber\" is the spatial frequency of a wave - the number of waves that exist over a specified distance. More formally, it is the reciprocal of the wavelength. It is also the magnitude of the wave vector." 
    ,"description (plain text)":"\"wavenumber\" is the spatial frequency of a wave - the number of waves that exist over a specified distance. More formally, it is the reciprocal of the wavelength. It is also the magnitude of the wave vector." 
    ,"has broader":"quantitykind:InverseLength" 
    ,"has dimension vector":"dimension:A0E0L-1I0M0H0T0D0" 
    ,"informative reference":"http:\/\/en.wikipedia.org\/wiki\/Wavenumber" 
    ,"isDefinedBy":"&lt;http:\/\/qudt.org\/2.1\/vocab\/quantitykind&gt;" 
    ,"label":"Kreisrepetenz" 
    ,"label":"Kreiswellenzahl" 
    ,"label":"angular repetency" 
    ,"label":"angular wavenumber" 
    ,"label":"liczba falowa kątowa" 
    ,"label":"nombre d'onde angulaire" 
    ,"label":"numero d'onda angolare" 
    ,"label":"n&uacute;mero de onda angular" 
    ,"label":"n&uacute;mero de onda angular" 
    ,"label":"repetencja kątowa" 
    ,"label":"repet&ecirc;ncia angular" 
    ,"label":"r&eacute;p&eacute;tence angulaire" 
    ,"label":"تكرار زاوى" 
    ,"label":"عدد موجى زاوى" 
    ,"label":"角波数" 
    ,"label":"角波数" 
    ,"latex definition":"\\(k = \\frac{2\\pi}{\\lambda}= \\frac{2\\pi\\upsilon}{\\upsilon_p}=\\frac{\\omega}{\\upsilon_p}\\), where \\(\\upsilon\\) is the frequency of the wave, \\(\\lambda\\) is the wavelength, \\(\\omega = 2\\pi \\upsilon\\) is the angular frequency of the wave, and \\(\\upsilon_p\\) is the phase velocity of the wave.\n\nAlternatively:\n\n\\(k = \\frac{p}{\\hbar}\\), where \\(p\\) is the linear momentum of quasi free electrons in an electron gas and \\(\\hbar\\) is the reduced Planck constant (\\(h\\) divided by \\(2\\pi\\)); for phonons, its magnitude is \\(k = \\frac{2\\pi}{\\lambda}\\), where \\(\\lambda\\) is the wavelength of the lattice vibrations." 
    ,"normative reference (ISO)":"http:\/\/www.iso.org\/iso\/catalogue_detail?csnumber=31897" 
    ,"symbol":"k" 
    ,"todo":"belongs to SOQ-ISO" 
    ,"type":"qudt:QuantityKind" 
    ]}
JSON-LD
{
  "@id" : "http://qudt.org/vocab/quantitykind/AngularWavenumber",
  "@type" : "http://qudt.org/schema/qudt/QuantityKind",
  "description" : "\"wavenumber\" is the spatial frequency of a wave - the number of waves that exist over a specified distance. More formally, it is the reciprocal of the wavelength. It is also the magnitude of the wave vector.",
  "applicableUnit" : "http://qudt.org/vocab/unit/RAD-PER-M",
  "hasDimensionVector" : "http://qudt.org/vocab/dimensionvector/A0E0L-1I0M0H0T0D0",
  "informativeReference" : "http://en.wikipedia.org/wiki/Wavenumber",
  "isoNormativeReference" : "http://www.iso.org/iso/catalogue_detail?csnumber=31897",
  "latexDefinition" : "\\(k = \\frac{2\\pi}{\\lambda}= \\frac{2\\pi\\upsilon}{\\upsilon_p}=\\frac{\\omega}{\\upsilon_p}\\), where \\(\\upsilon\\) is the frequency of the wave, \\(\\lambda\\) is the wavelength, \\(\\omega = 2\\pi \\upsilon\\) is the angular frequency of the wave, and \\(\\upsilon_p\\) is the phase velocity of the wave.\n\nAlternatively:\n\n\\(k = \\frac{p}{\\hbar}\\), where \\(p\\) is the linear momentum of quasi free electrons in an electron gas and \\(\\hbar\\) is the reduced Planck constant (\\(h\\) divided by \\(2\\pi\\)); for phonons, its magnitude is \\(k = \\frac{2\\pi}{\\lambda}\\), where \\(\\lambda\\) is the wavelength of the lattice vibrations.",
  "plainTextDescription" : "\"wavenumber\" is the spatial frequency of a wave - the number of waves that exist over a specified distance. More formally, it is the reciprocal of the wavelength. It is also the magnitude of the wave vector.",
  "symbol" : "k",
  "todo" : "belongs to SOQ-ISO",
  "isDefinedBy" : "http://qudt.org/2.1/vocab/quantitykind",
  "label" : [ {
    "@language" : "pt",
    "@value" : "repetência angular"
  }, {
    "@language" : "ar",
    "@value" : "عدد موجى زاوى"
  }, {
    "@language" : "en",
    "@value" : "angular wavenumber"
  }, {
    "@language" : "zh",
    "@value" : "角波数"
  }, {
    "@language" : "ja",
    "@value" : "角波数"
  }, {
    "@language" : "pl",
    "@value" : "repetencja kątowa"
  }, {
    "@language" : "fr",
    "@value" : "nombre d'onde angulaire"
  }, {
    "@language" : "it",
    "@value" : "numero d'onda angolare"
  }, {
    "@language" : "en",
    "@value" : "angular repetency"
  }, {
    "@language" : "es",
    "@value" : "número de onda angular"
  }, {
    "@language" : "pt",
    "@value" : "número de onda angular"
  }, {
    "@language" : "de",
    "@value" : "Kreiswellenzahl"
  }, {
    "@language" : "de",
    "@value" : "Kreisrepetenz"
  }, {
    "@language" : "pl",
    "@value" : "liczba falowa kątowa"
  }, {
    "@language" : "fr",
    "@value" : "répétence angulaire"
  }, {
    "@language" : "ar",
    "@value" : "تكرار زاوى"
  } ],
  "broader" : "http://qudt.org/vocab/quantitykind/InverseLength",
  "@context" : {
    "label" : {
      "@id" : "http://www.w3.org/2000/01/rdf-schema#label"
    },
    "broader" : {
      "@id" : "http://www.w3.org/2004/02/skos/core#broader",
      "@type" : "@id"
    },
    "applicableUnit" : {
      "@id" : "http://qudt.org/schema/qudt/applicableUnit",
      "@type" : "@id"
    },
    "latexDefinition" : {
      "@id" : "http://qudt.org/schema/qudt/latexDefinition",
      "@type" : "http://qudt.org/schema/qudt/LatexString"
    },
    "description" : {
      "@id" : "http://purl.org/dc/terms/description",
      "@type" : "http://www.w3.org/1999/02/22-rdf-syntax-ns#HTML"
    },
    "hasDimensionVector" : {
      "@id" : "http://qudt.org/schema/qudt/hasDimensionVector",
      "@type" : "@id"
    },
    "symbol" : {
      "@id" : "http://qudt.org/schema/qudt/symbol"
    },
    "isoNormativeReference" : {
      "@id" : "http://qudt.org/schema/qudt/isoNormativeReference",
      "@type" : "http://www.w3.org/2001/XMLSchema#anyURI"
    },
    "informativeReference" : {
      "@id" : "http://qudt.org/schema/qudt/informativeReference",
      "@type" : "http://www.w3.org/2001/XMLSchema#anyURI"
    },
    "todo" : {
      "@id" : "http://www.linkedmodel.org/schema/vaem#todo"
    },
    "plainTextDescription" : {
      "@id" : "http://qudt.org/schema/qudt/plainTextDescription"
    },
    "isDefinedBy" : {
      "@id" : "http://www.w3.org/2000/01/rdf-schema#isDefinedBy",
      "@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 2023-08-28T12:24:47.894-04:00 by lmdoc version 1.1 with  TopBraid SPARQL Web Pages (SWP)