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Phenomenological Force Model for a Lattice from Experimental Phonon Spectra Appropriate to Lattice Distortion by Point Defects
Author(s) -
Chevychelov A. D.,
Lifshits I. L.
Publication year - 1974
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2220650107
Subject(s) - phonon , lattice (music) , vacancy defect , condensed matter physics , force constant , empty lattice approximation , reciprocal lattice , physics , materials science , particle in a one dimensional lattice , quantum mechanics , molecule , acoustics , diffraction
A general formal force model is constructed for a lattice with pair interactions between the atoms and appropriate to the problem of the point defects using group theory analysis. The pair interactions include bend and mixed parts. The concrete analysis is performed for cubic lattices. Numerical constants are chosen from experimental phonon dispersion curves. As an example of the application of the model the lattice distortion around a vacancy is calculated for copper.