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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    <j.0:symbol>A_jkN_j</j.0:symbol>
    <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>
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    <j.0:applicableUnit rdf:resource="http://qudt.org/vocab/unit/UNITLESS"/>
    <rdfs:label xml:lang="en">Einstein Transition Probability</rdfs:label>
    <rdf:type rdf:resource="http://qudt.org/schema/qudt/QuantityKind"/>
    <j.0:systemDerivedQuantityKind rdf:resource="http://qudt.org/schema/qudt/SOQ_SI"/>
    <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>
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TURTLE
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  rdfs:isDefinedBy <http://qudt.org/2.1/vocab/quantitykind> ;
  rdfs:label "Einstein Transition Probability"@en ;
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.
JSON
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    ,"label":"Einstein Transition Probability" 
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    ,"symbol":"A_jkN_j" 
    ,"system derived quantity kind":"qudt:SOQ_SI" 
    ,"type":"qudt:QuantityKind" 
    ]}
JSON-LD
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