Therefore, the result can be derived from classical electrodynamics, without resorting to any quantum mechanics. The beautiful thing about the LST result is that it is independent of any microscopic description, which is quite unusual in solid-state physics. All these quantities are understood to be the values in the long-wavelength limit (i.e. and refer to the static and high frequency (above the phonon frequencies, but below any electronic energy scale) dielectric constants. In the equation above, and refer to the frequencies of the longitudinal and transverse optical phonons respectively. It has wide applicability for polar insulators. In 1941, Lydanne, Sachs and Teller wrote a paper entitled “On the Polar Vibrations of Alkali Halides”, where they derived a result now known as the Lydanne-Sachs-Teller (LST) relation.
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