Premium
Model‐Potential Theory of Ultrasonic Attenuation in Metals
Author(s) -
Mertsching J.,
Rösler M.
Publication year - 1970
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.19700410104
Subject(s) - attenuation , anisotropy , free electron model , electron , ultrasonic attenuation , condensed matter physics , dielectric , ultrasonic sensor , physics , range (aeronautics) , materials science , quantum mechanics , acoustics , composite material
The matrix element of the electron—phonon interaction, the deformation potential and the longitudinal ultrasonic attenuation of metals in the high‐frequency range are calculated in terms of model potentials. In order to obtain the correct anisotropy of these quantities, the ion model potentials are properly screened with a solid‐state dielectric function rather than with the Hartree dielectric function for free electrons. In zero order in the model‐potential form factors, the free‐electron results are obtained without essential effectivemass corrections, whereas in second order our result differs from Pippard's quasiclassical theory of ultrasonic attenuation. In potassium the deviations from the free‐electron theory are found to be small.