@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#> .
@prefix owl: <http://www.w3.org/2002/07/owl#> .
@prefix constant: <http://qudt.org/vocab/constant/> .
@prefix dc: <http://purl.org/dc/elements/1.1/> .
@prefix dcterms: <http://purl.org/dc/terms/> .
@prefix prov: <http://www.w3.org/ns/prov#> .
@prefix qkdv: <http://qudt.org/vocab/dimensionvector/> .
@prefix quantitykind: <http://qudt.org/vocab/quantitykind/> .
@prefix qudt: <http://qudt.org/schema/qudt/> .
@prefix si-quantity: <https://si-digital-framework.org/quantities/> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .
@prefix unit: <http://qudt.org/vocab/unit/> .
@prefix vaem: <http://www.linkedmodel.org/schema/vaem#> .
@prefix voag: <http://voag.linkedmodel.org/schema/voag#> .

quantitykind:AngularWavenumber
  a qudt:QuantityKind ;
  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."^^qudt:LatexString ;
  qudt:applicableUnit unit:DEG-PER-M ;
  qudt:applicableUnit unit:RAD-PER-M ;
  qudt:hasDimensionVector qkdv:A0E0L-1I0M0H0T0D0 ;
  qudt:informativeReference "https://en.wikipedia.org/wiki/Wavenumber"^^xsd:anyURI ;
  qudt:isoNormativeReference "http://www.iso.org/iso/catalogue_detail?csnumber=31897"^^xsd:anyURI ;
  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:LatexString ;
  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:symbol "k" ;
  qudt:wikidataMatch <http://www.wikidata.org/entity/Q30338487> ;
  rdfs:comment "Applicable units are those of quantitykind:AngularWavenumber" ;
  rdfs:isDefinedBy <http://qudt.org/3.2.1/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 ;
  skos:altLabel "Kreiswellenzahl"@de ;
  skos:altLabel "angular repetency"@en ;
  skos:altLabel "repetencja kątowa"@pl ;
  skos:altLabel "repetência angular"@pt ;
  skos:altLabel "répétence angulaire"@fr ;
  skos:altLabel "تكرار زاوى"@ar ;
  skos:broader quantitykind:InverseLength ;
  vaem:todo "belongs to SOQ-ISO" .