Frequencies of Long-Wave Phonon-Polaritons and Optical Phonons in Diatomic Ionic Crystals


  • A. A. Stupka Oles Honchar Dnipropetrovsk National University



ionic crystal, self-consistent electromagnetic field, long-wave vibrations, phonon-polaritons, longitudinal optical phonons, ion plasma frequency


Long-wave phonon-polaritons and longitudinal optical phonons in ionic crystals with two atoms per unit cell have been considered. The model of the point charge and the self-consistent electromagnetic field in the dielectric medium is used. The standard dispersion laws for both branches of phonon-polaritons regarded as transversal waves are obtained. The frequency of longitudinal optical phonons is expressed in terms of the ion plasma frequency in an insulator multiplied by the factor √︀


Y. Wang, Sh. Shang, Z.-K. Liu, and L.-Q. Chen, Phys. Rev. B 85, 224303 (2012).

A.S. Davydov, Solid State Theory (Academic Press, New York, 1980).

K. Huang, Proc. Roy. Soc. A 208, 352 (1951).

M. Born and K. Huang, Dynamical Theory of Crystal Lattices (Clarendon Press, Oxford, 1954).

A.A. Stupka, Ukr. Fiz. Zh. 58, 865 (2013).

K.V. Namjoshi, S.S. Mitra, and J.F. Vetelino, Solid State Commun. 9, 185 (1971).

N.W. Ashcroft and N.D. Mermin, Solid State Physics (Saunders College Publ., Philadelphia, PA, 1976).

A.I. Akhiezer, I.A. Akhiezer, R.V. Polovin, A.G. Sitenko, and K.N. Stepanov, Plasma Electrodynamics (Pergamon Press, New York, 1975).

L.D. Landau and E.M. Lifshitz, Electrodynamics of Continuous Media (Pergamon Press, New York, 1984).

R.A. Lyddane, R.G. Sachs, and E. Teller, Phys. Rev. 59, 673 (1941).

Ch. Kittel, Introduction to Solid State Physics (Wiley, New York, 1995).

V.A. Rabinovich and Z.Ya. Khavin, Brief Chemical Handbook (Khimiya, Leningrad, 1978), (in Russian).



How to Cite

Stupka, A. A. (2018). Frequencies of Long-Wave Phonon-Polaritons and Optical Phonons in Diatomic Ionic Crystals. Ukrainian Journal of Physics, 59(8), 793.



Solid matter