Lyddane-Sachs-Teller relation

The Lyddane-Sachs-Teller relation (also LST relation) determines the ratio of the natural frequency of a longitudinal optical lattice oscillation ( phonon ) of an ion crystal to the natural frequency of the transversal optical lattice oscillation for , which equals the ratio of the static permittivity (often also ) to the permittivity for Frequencies of the visible range (often also ) is. ${\displaystyle \omega _{L}}$ ${\displaystyle \omega _{T}}$ ${\displaystyle k=0}$ ${\displaystyle \varepsilon _{st}}$ ${\displaystyle \varepsilon (0)}$ ${\displaystyle \varepsilon _{\infty }}$ ${\displaystyle \varepsilon (\omega _{s})}$

${\displaystyle {\frac {\omega _{L}^{2}}{\omega _{T}^{2}}}={\frac {\varepsilon _{st}}{\varepsilon _{\infty }}}}$

The Lyddane-Sachs-Teller relation is named after Russell Hancock Lyddane (1913–2001, physicist), Edward Teller (1908–2003, physicist) and Robert Green Sachs (1916–1990, physicist).

literature

• RH Lyddane, RG Sachs, E. Teller: On the Polar Vibrations of Alkali Halides . In: Physical Review . tape 59 , no. 8 , April 15, 1941, p. 673-676 , doi : 10.1103 / PhysRev.59.673 .
• Mark Fox: Oxford Master Series in Physics: Condensed Matter Physics (=  Methods in Experimental Physics . Volume 3 ). Oxford University Press, 2001, ISBN 0-19-850612-0 , chapter The Lyddane-Sachs-Teller-relationship , p. 209 ff . ( limited preview in Google Book search).
• P. Da R. Andradé, S .PS Porto: Lydanne-Sachs-Teller Relation and Dielectric Constant in Crystals . In: Revista Brasileira dr Física . tape 3 , no. 2 , 1973 ( sbfisica.org.br [PDF]).

Individual evidence

1. ^ L. Laurence Charles Robinson: Physical Principles of Far-Infrared Radiation (=  Methods in Experimental Physics . Volume 10 ). Academic Press, 1973, chapter The Lyddane-Sachs-Teller-relationship , p. 363 ff . ( limited preview in Google Book search).
2. ^ Ulrich Rössler: Solid State Theory: An Introduction . Springer, 2009, ISBN 978-3-540-92762-4 , pp. 60 ( limited preview in Google Book search).