In condensed matter physics, the Lyddane–Sachs–Teller relation (or LST-relation) determines the ratio of the natural frequency of longitudinal optic lattice vibrations (phonons) () of an ion crystal to the natural frequency of the transverse optical lattice vibration () for k=0. The ratio is equal to the ratio of the static permittivity (Often also ) for the permittivity for frequencies in the visible range (often also ).
The Lyddane–Sachs–Teller relation is named after the physicists R. H. Lydanne, Edward Teller, and R. G. Sachs.
- Lyddane, R.; Sachs, R.; Teller, E. "On the Polar Vibrations of Alkali Halides". Physical Review 59 (8): 673–676. Bibcode:1941PhRv...59..673L. doi:10.1103/PhysRev.59.673.
- Laurence Charles, Robinson: The Lyddane-Sachs-Teller-relationship
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