quantitykind:AngularWavenumber

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

Type
Description

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
rdfs:label
Angular Wavenumber(en)
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://www.linkedmodel.org/schema/vaem#"
    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/AngularWavenumber">
    <rdf:type rdf:resource="http://qudt.org/schema/qudt/QuantityKind"/>
    <j.2:broader rdf:resource="http://qudt.org/vocab/quantitykind/InverseLength"/>
    <j.0:applicableUnit rdf:resource="http://qudt.org/vocab/unit/RAD-PER-M"/>
    <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:hasDimensionVector rdf:resource="http://qudt.org/vocab/dimensionvector/A0E0L-1I0M0H0T0D0"/>
    <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.1:todo>belongs to SOQ-ISO</j.1: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="en">Angular Wavenumber</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://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 "Angular Wavenumber"@en ;
  <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 (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":"Angular Wavenumber" 
    ,"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",
  "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" : "en",
    "@value" : "Angular Wavenumber"
  },
  "broader" : "http://qudt.org/vocab/quantitykind/InverseLength",
  "@context" : {
    "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"
    },
    "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"
    },
    "todo" : {
      "@id" : "http://www.linkedmodel.org/schema/vaem#todo"
    },
    "informativeReference" : {
      "@id" : "http://qudt.org/schema/qudt/informativeReference",
      "@type" : "http://www.w3.org/2001/XMLSchema#anyURI"
    },
    "plainTextDescription" : {
      "@id" : "http://qudt.org/schema/qudt/plainTextDescription"
    },
    "label" : {
      "@id" : "http://www.w3.org/2000/01/rdf-schema#label"
    },
    "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 2021-09-16T16:16:02.704-07:00 by lmdoc version 1.1 with  TopBraid SPARQL Web Pages (SWP)