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:applicableUnit

qudt:plainTextDescription

skos:broader

qudt:hasDimensionVector

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.

qudt:isoNormativeReference

qudt:symbol

rdf:type

Annotations

skos:altLabel

rdfs:comment

dcterms:description

qudt:informativeReference

rdfs:isDefinedBy

rdfs:label

vaem:todo

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">
    <j.1:description rdf:datatype="http://qudt.org/schema/qudt/LatexString">"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>
    <rdf:type rdf:resource="http://qudt.org/schema/qudt/QuantityKind"/>
    <j.3:broader rdf:resource="http://qudt.org/vocab/quantitykind/InverseLength"/>
    <j.3:altLabel xml:lang="pl">repetencja kątowa</j.3:altLabel>
    <j.3:altLabel xml:lang="ar">تكرار زاوى</j.3:altLabel>
    <rdfs:label xml:lang="ar">عدد موجى زاوى</rdfs:label>
    <rdfs:comment>Applicable units are those of quantitykind:AngularWavenumber</rdfs:comment>
    <rdfs:label xml:lang="en">angular wavenumber</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>
    <j.0:applicableUnit rdf:resource="http://qudt.org/vocab/unit/RAD-PER-M"/>
    <rdfs:label xml:lang="ja">角波数</rdfs:label>
    <rdfs:label xml:lang="zh">角波数</rdfs:label>
    <j.3:altLabel xml:lang="fr">répétence angulaire</j.3:altLabel>
    <rdfs:label xml:lang="fr">nombre d'onde angulaire</rdfs:label>
    <j.0:hasDimensionVector rdf:resource="http://qudt.org/vocab/dimensionvector/A0E0L-1I0M0H0T0D0"/>
    <rdfs:label xml:lang="it">numero d'onda angolare</rdfs:label>
    <j.3:altLabel xml:lang="pt">repetência angular</j.3:altLabel>
    <rdfs:label xml:lang="es">número de onda angular</rdfs:label>
    <rdfs:label xml:lang="pt">número de onda angular</rdfs:label>
    <j.3:altLabel xml:lang="en">angular repetency</j.3:altLabel>
    <j.3:altLabel xml:lang="de">Kreiswellenzahl</j.3:altLabel>
    <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:applicableUnit rdf:resource="http://qudt.org/vocab/unit/DEG-PER-M"/>
    <j.2:todo>belongs to SOQ-ISO</j.2:todo>
    <j.0:informativeReference rdf:datatype="http://www.w3.org/2001/XMLSchema#anyURI">http://en.wikipedia.org/wiki/Wavenumber</j.0:informativeReference>
    <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"/>
  </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."^^<http://qudt.org/schema/qudt/LatexString> ;
  <http://qudt.org/schema/qudt/applicableUnit> <http://qudt.org/vocab/unit/DEG-PER-M> ;
  <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:comment "Applicable units are those of quantitykind:AngularWavenumber" ;
  rdfs:isDefinedBy <http://qudt.org/2.1/vocab/quantitykind> ;
  rdfs:label "Kreisrepetenz"@de ;
  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 "عدد موجى زاوى"@ar ;
  rdfs:label "角波数"@ja ;
  rdfs:label "角波数"@zh ;
  <http://www.w3.org/2004/02/skos/core#altLabel> "Kreiswellenzahl"@de ;
  <http://www.w3.org/2004/02/skos/core#altLabel> "angular repetency"@en ;
  <http://www.w3.org/2004/02/skos/core#altLabel> "repetencja kątowa"@pl ;
  <http://www.w3.org/2004/02/skos/core#altLabel> "repetência angular"@pt ;
  <http://www.w3.org/2004/02/skos/core#altLabel> "répétence angulaire"@fr ;
  <http://www.w3.org/2004/02/skos/core#altLabel> "تكرار زاوى"@ar ;
  <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":["alternative label":"Kreiswellenzahl" 
    ,"alternative label":"angular repetency" 
    ,"alternative label":"repetencja kątowa" 
    ,"alternative label":"repet&ecirc;ncia angular" 
    ,"alternative label":"r&eacute;p&eacute;tence angulaire" 
    ,"alternative label":"تكرار زاوى" 
    ,"applicable unit":"unit:DEG-PER-M" 
    ,"applicable unit":"unit:RAD-PER-M" 
    ,"comment":"Applicable units are those of quantitykind:AngularWavenumber" 
    ,"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":"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":"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", "http://qudt.org/vocab/unit/DEG-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",
  "comment" : "Applicable units are those of quantitykind:AngularWavenumber",
  "isDefinedBy" : "http://qudt.org/2.1/vocab/quantitykind",
  "label" : [ {
    "@language" : "ar",
    "@value" : "عدد موجى زاوى"
  }, {
    "@language" : "en",
    "@value" : "angular wavenumber"
  }, {
    "@language" : "ja",
    "@value" : "角波数"
  }, {
    "@language" : "zh",
    "@value" : "角波数"
  }, {
    "@language" : "fr",
    "@value" : "nombre d'onde angulaire"
  }, {
    "@language" : "it",
    "@value" : "numero d'onda angolare"
  }, {
    "@language" : "es",
    "@value" : "número de onda angular"
  }, {
    "@language" : "pt",
    "@value" : "número de onda angular"
  }, {
    "@language" : "de",
    "@value" : "Kreisrepetenz"
  }, {
    "@language" : "pl",
    "@value" : "liczba falowa kątowa"
  } ],
  "altLabel" : [ {
    "@language" : "pl",
    "@value" : "repetencja kątowa"
  }, {
    "@language" : "ar",
    "@value" : "تكرار زاوى"
  }, {
    "@language" : "fr",
    "@value" : "répétence angulaire"
  }, {
    "@language" : "pt",
    "@value" : "repetência angular"
  }, {
    "@language" : "en",
    "@value" : "angular repetency"
  }, {
    "@language" : "de",
    "@value" : "Kreiswellenzahl"
  } ],
  "broader" : "http://qudt.org/vocab/quantitykind/InverseLength",
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}

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