quantitykind:EinsteinTransitionProbability

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

Type
Description

Given two atomic states of energy $E_j$ and $E_k$. Let $E_j > E_k$. Assume the atom is bathed in radiation of energy density $u(w)$. Transitions between these states can take place in three different ways. Spontaneous, induced/stimulated emission, and induced absorption. $A_jk$ represents the Einstein transition probability for spontaneous emission.

Properties
qudt:latexDefinition
$\frac{-dN_j}{dt} = A_jkN_j$, where $-dN_j$ is the number of molecules spontaneously leaving the state j for the state k during a time interval of duration $dt$, $N_j$ is the number of molecules in the state j, and $E_j > E_k$.
qudt:symbol
A_jkN_j
Annotations
dcterms:description
Given two atomic states of energy $E_j$ and $E_k$. Let $E_j > E_k$. Assume the atom is bathed in radiation of energy density $u(w)$. Transitions between these states can take place in three different ways. Spontaneous, induced/stimulated emission, and induced absorption. $A_jk$ represents the Einstein transition probability for spontaneous emission.
rdfs:label
Einstein Transition Probability(en)
View as:  CSV

Work in progress

RDF/XML
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    xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > 
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    <rdf:type rdf:resource="http://qudt.org/schema/qudt/QuantityKind"/>
    <j.1:description rdf:datatype="http://qudt.org/schema/qudt/LatexString">Given two atomic states of energy $E_j$ and $E_k$.  Let $E_j &gt; E_k$.  Assume the atom is bathed in radiation of energy density $u(w)$.  Transitions between these states can take place in three different ways. Spontaneous, induced/stimulated emission, and induced absorption. $A_jk$ represents the Einstein transition probability for spontaneous emission.</j.1:description>
    <j.0:applicableUnit rdf:resource="http://qudt.org/vocab/unit/UNITLESS"/>
    <j.0:hasDimensionVector rdf:resource="http://qudt.org/vocab/dimensionvector/A0E0L0I0M0H0T0D1"/>
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    <j.0:latexDefinition rdf:datatype="http://qudt.org/schema/qudt/LatexString">$\frac{-dN_j}{dt} = A_jkN_j$, where $-dN_j$ is the number of molecules spontaneously leaving the state j for the state k during a time interval of duration $dt$, $N_j$ is the number of molecules in the state j, and $E_j &gt; E_k$.</j.0:latexDefinition>
    <j.0:symbol>A_jkN_j</j.0:symbol>
    <rdfs:isDefinedBy rdf:resource="http://qudt.org/2.1/vocab/quantitykind"/>
    <rdfs:label xml:lang="en">Einstein Transition Probability</rdfs:label>
  </rdf:Description>
</rdf:RDF>
TURTLE
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@prefix rdfs: <http://www.w3.org/2000/01/rdf-schema#> .
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  <http://qudt.org/schema/qudt/symbol> "A_jkN_j" ;
  rdfs:isDefinedBy <http://qudt.org/2.1/vocab/quantitykind> ;
  rdfs:label "Einstein Transition Probability"@en ;
.
JSON
{"resource":"Einstein Transition Probability" 
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 ,"uri":"http:\/\/qudt.org\/vocab\/quantitykind\/EinsteinTransitionProbability" 
 ,"properties":["applicable unit":"unit:UNITLESS" 
    ,"description":"Given two atomic states of energy $E_j$ and $E_k$.  Let $E_j &gt; E_k$.  Assume the atom is bathed in radiation of energy density $u(w)$.  Transitions between these states can take place in three different ways. Spontaneous, induced\/stimulated emission, and induced absorption. $A_jk$ represents the Einstein transition probability for spontaneous emission." 
    ,"has dimension vector":"dimension:A0E0L0I0M0H0T0D1" 
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    ,"isDefinedBy":"&lt;http:\/\/qudt.org\/2.1\/vocab\/quantitykind&gt;" 
    ,"label":"Einstein Transition Probability" 
    ,"latex definition":"$\\frac{-dN_j}{dt} = A_jkN_j$, where $-dN_j$ is the number of molecules spontaneously leaving the state j for the state k during a time interval of duration $dt$, $N_j$ is the number of molecules in the state j, and $E_j &gt; E_k$." 
    ,"symbol":"A_jkN_j" 
    ,"type":"qudt:QuantityKind" 
    ]}
JSON-LD
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