Long-Wave High-Frequency Oscillations in Ionic Crystals with Two Atoms in Elementary Cell

Authors

  • A. A. Stupka Oles Honchar Dnipropetrovsk National University

DOI:

https://doi.org/10.15407/ujpe58.09.0863

Keywords:

long-wave oscillations, phonon-polariton, ion plasma frequency

Abstract

Long-wave high-frequency electromagnetic oscillations in an ionic crystal with two atoms in an elementary cell have been considered in the framework of a self-consistent model for free point charges in the electromagnetic field in a dielectric medium. The frequency of longitudinal phonons is shown to equal the ionic plasma frequency divided by the square root of the high-frequency dielectric permittivity. The standard dispersion law for the upper phonon-polariton branch is obtained.

References

<ol>

<li> D. Pines, Elementary Excitations in Solids (Benjamin, New York, 1964).
</li>
<li> A.A. Stupka, Metallofiz. Noveish. Tekhnol. 34, 605 (2012).
</li>
<li> A.S. Davydov, Solid State Theory (Academic Press, New York, 1980).
</li>
<li> A.I. Akhiezer, I.A. Akhiezer, R.V. Polovin, A.G. Sitenko, and K.N. Stepanov, Plasma Electrodynamics (Pergamon Press, New York, 1975).
v L.D. Landau and E.M. Lifshitz, Electrodynamics of Continuous Media (Pergamon Press, New York, 1984).
</li>
<li> Ch. Kittel, Introduction to Solid State Physics (Wiley, New York, 1995).
</li>
<li> V.A. Rabinovich and Z.Ya. Khavin, Brief Chemical Handbook (Khimiya, Leningrad, 1978), (in Russian).
</li>
<li> A.I. Sokolovsky, A.A. Stupka, and Z.Y. Chelbaevsky, Ukr. Fiz. Zh. 55, 20 (2010).
</li>

</ol>

Published

2018-10-11

How to Cite

Stupka, A. A. (2018). Long-Wave High-Frequency Oscillations in Ionic Crystals with Two Atoms in Elementary Cell. Ukrainian Journal of Physics, 58(9), 863. https://doi.org/10.15407/ujpe58.09.0863

Issue

Section

Solid matter