Anharmonicity of Vibrations and the Inner Displacements in Crystals

K. S. Viswanathan; Keiji Watanabe

doi:10.1103/PhysRev.149.614

Access by Xinjiang University

Anharmonicity of Vibrations and the Inner Displacements in Crystals

K. S. Viswanathan^* and Keiji Watanabe^†

School of Theoretical Physics, Dublin Institute for Advanced Studies, Dublin, Ireland

^*On leave of absence from the National Aeronautical Laboratory, Bangalore, India.
^†On leave of absence from Department of Physics, Nagoya University, Nagoya, Japan.

PDF

Phys. Rev. 149, 614 – Published 16 September, 1966

DOI: https://doi.org/10.1103/PhysRev.149.614

Abstract

Expressions have been obtained for the inner displacements and the level shifts of the phonons in terms of the anharmonicity constants and the temperature of the crystal. It is shown that the inner displacement of any atom is proportional to the mean thermal energy of the lattice.

References (6)

A. A. Maradudin and A. E. Fein, Phys. Rev. 128, 2589 (1962)
A. A. Maradudin, Astrophysics and the Many-Body Problem (W. A. Benjamin, Inc., New York, 1963), pp. 293-317
P. A. Fein and A. A. Maradudin, Ann. Phys. (N. Y.) 22, 223 (1963)
A. A. Maradudin, E. W. Montroll, and G. H. Weiss, Theory of Lattice Dynamics in the Harmonic Approximation (Academic Press Inc., New York, 1963), pp. 28-38
L. Van Hove, Quantum Theory of Many Particle Systems (W. A. Benjamin, Inc., New York, 1961), pp. 44-53
P. G. Klemens, Solid State Physics, edited by F. Seitz and D. Turnbull (Academic Press Inc., New York, 1958), Vol. 7, p. 1

[c1] A. A. Maradudin and A. E. Fein, Phys. Rev. 128, 2589 (1962)

[c2] A. A. Maradudin, Astrophysics and the Many-Body Problem (W. A. Benjamin, Inc., New York, 1963), pp. 293-317

[c3] P. A. Fein and A. A. Maradudin, Ann. Phys. (N. Y.) 22, 223 (1963)

[c4] A. A. Maradudin, E. W. Montroll, and G. H. Weiss, Theory of Lattice Dynamics in the Harmonic Approximation (Academic Press Inc., New York, 1963), pp. 28-38

[c5] L. Van Hove, Quantum Theory of Many Particle Systems (W. A. Benjamin, Inc., New York, 1961), pp. 44-53

[c6] P. G. Klemens, Solid State Physics, edited by F. Seitz and D. Turnbull (Academic Press Inc., New York, 1958), Vol. 7, p. 1

Physical Review Journals Archive

Export citation

Export citation

Anharmonicity of Vibrations and the Inner Displacements in Crystals

Abstract

References (6)

Outline

Information

Filter

Filter

Article Lookup

Enter a citation