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Influence of Pressure on the Anharmonicity, and the Elastic Moduli, and their Temperature Dependences for Crystals with Pair Interactions

  • V. N. Zharkov
  • V. A. Kalinin

Abstract

The classical form of the method of potentials was introduced to solid-state physics by Born. Born assumed that in some solids — for example, in ionic crystals — the interaction between particles (ions) can be described quite accurately as being of the pair type. Then, having specified the actual nature of the pair potential between ions, we cannot only calculate theoretically the equation of state but also predict many other properties of ionic crystals which are of great interest in the physics of high pressures and in geophysics.

Keywords

Sodium Chloride Elastic Modulus Lattice Constant Anharmonicity Parameter CsCl Structure 
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Literature Cited

  1. 1.
    V. N. Zharkov, in: Solids at Pressures and Temperatures in Earth’s Interior [in Russian], Nauka, Moscow (1964), p. 41; Dokl. Akad. Nauk SSSR, 154:302 (1964).Google Scholar
  2. 2.
    G. Leibfried and W. Ludwig, “Theory of anharmonic effects in crystals,” Solid State Phys., 12: 276 (1961).Google Scholar
  3. 3.
    L. D. Landau and E. M. Lifshitz, Theory of Elasticity, 2nd ed., Pergamon Press, Oxford (1969).Google Scholar
  4. 4.
    J. E. Lennard-Jones and A. E. Ingham, Proc. Roy. Soc. (London), A107: 66 (1925)Google Scholar
  5. R. D. Misra, Proc. Cambridge Phil. Soc., 36: 173 (1940).MATHGoogle Scholar
  6. 5.
    M. Born and K. Huang, Dynamical Theory of Crystal Lattices, Oxford University Press (1954).Google Scholar
  7. 6.
    V. N. Zharkov, Trudy Inst. Fiziki Zemli Akad. Nauk SSSR, No. 11 (178), p. 14 (1960).Google Scholar
  8. 7.
    V. I. Davydov, Izv. Akad. Nauk SSSR, Ser. Geofiz., No. 12, p. 1411 (1956).Google Scholar
  9. 8.
    V. N. Zharkov and V. A. Kalinin, Dokl. Akad. Nauk SSSR, 145: 551 (1962).Google Scholar
  10. 9.
    D. Lazarus, Phys. Rev., 76: 545 (1949).ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1971

Authors and Affiliations

  • V. N. Zharkov
    • 1
  • V. A. Kalinin
    • 1
  1. 1.Laboratory of Theoretical Physics, O. Yu. Shmidt Institute of Physics of EarthAcademy of Sciences of the USSRMoscowUSSR

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