| Article |
|---|
| Article name |
A Dynamic Model and the Dispersion Relations for Binary Cubic Lattice of the CsCl Type |
| Authors |
Kholodovsky V.Y. Candidate of Physics and Mathematics, a-a-sidorov@yandex.ruSidorov A.A. Candidate of Physics and Mathematics, a-a-sidorov@yandex.ru |
| Bibliographic description |
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| Section |
Scientific Research |
| UDK |
УДК 534.1 |
| DOI |
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| Article type |
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| Annotation |
The equation of the dynamics of binary crystal lattices with the CsCl type structure is
obtained in the article. At the same time the authors take into account the interaction forces
of the central and noncentral character between atoms located relatively to each other on the
first and second coordination spheres. The dynamic matrix is calculated and the dispersion
relations for the basic directions and polarizations are obtained. In the case of the presence of
long waves a complete agreement with the analogous relations of elasticity theory was found
and expressions for the force constants of the dynamic model in terms of elastic constants are
obtained..
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| Key words |
dynamic equation, linear operators, eigenvectors, eigenvalues, frequency,
direction of polarization, wave vector, dispersion relations, elastic constants. |
| Article information |
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| References |
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| Full article | A Dynamic Model and the Dispersion Relations for Binary Cubic Lattice of the CsCl Type |
