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E INSTEIN model and modern methods in the statistical theory of crystals
Author(s) -
Zubov V. I.
Publication year - 1995
Publication title -
crystal research and technology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.377
H-Index - 64
eISSN - 1521-4079
pISSN - 0232-1300
DOI - 10.1002/crat.2170300202
Subject(s) - anharmonicity , einstein , limiting , connection (principal bundle) , physics , debye , theoretical physics , statistical physics , quantum mechanics , mathematics , geometry , mechanical engineering , engineering
A connection between various methods of the atomic theory of crystals and the E INSTEIN model is analyzed. It is pointed out that despite the oversimplified choice of a unique mode of vibrations for all atoms, in many cases it provides better results than the DEBYE model does. What is more, a number of methods of the theory of strongly anharmonic crystals can be considered as extensions of the EINSTEIN model which in its turn, is their limiting case when the anharmonic terms and interatomic correlations are neglected. A comparison between some peculiarities and results of such methods is drawn.