Matrix t-distribution: Difference between revisions

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In [[condensed matter physics]], the '''Lyddane-Sachs-Teller relation''' (or LST-relation) determines the ratio of the natural frequency of longitudinal optical lattice vibrations ([[phonon]]s) (<math>\omega_L</math>) of an ion crystal to the natural frequency of the transverse optical lattice vibration (<math>\omega_T</math>) for k=0 which equals the ratio of the static permittivity <math>\varepsilon_{st}</math> (Often also <math>\varepsilon(0)</math>) for the permittivity for frequencies in the visible range <math>\varepsilon_{\infty}</math> (often also <math>\varepsilon(\omega_s)</math>).<ref>[http://books.google.de/books?id=2KHcmmmbf_gC&pg=PA363&lpg=PA363&dq=r.+h.+lyddane&source=bl&ots=0ogaDze8Vr&sig=hqJp7LBue1fN0qySAdRqBXVQnv0&hl=de&sa=X&ei=RyAhT-ivA4Twsgb8qODJBw&sqi=2&ved=0CGsQ6AEwCQ#v=onepage&q=r.%20h.%20lyddane&f=false Laurence Charles, Robinson: The Lyddane-Sachs-Teller-relationship]</ref>
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:<math>
\frac{\omega_L^2}{\omega_T^2} = \frac{\varepsilon_{st}}{\varepsilon_{\infty}}
</math>


The Lyddane-Sachs-Teller relation is named after the physicists R. H. Lydanne, [[Edward Teller]], and R. G. Sachs.
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==References==
{{reflist}}
 
 
 
[[Category:Condensed matter physics]]

Latest revision as of 05:01, 12 September 2014

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