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Scattering of Sound Waves by Isotopes and Thermal Conductivity in the Simple Cubic Lattice
Author(s) -
Thoma K.,
Ludwig W.
Publication year - 1965
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.19650080208
Subject(s) - cubic crystal system , simple cubic lattice , condensed matter physics , lattice (music) , isotope , thermal conductivity , sound wave , scattering , simple (philosophy) , physics , materials science , acoustics , nuclear physics , optics , thermodynamics , mathematics , statistics , philosophy , epistemology , monte carlo method
The effect of point defects on the thermal conductivity of an insulating crystal is discussed. The mechanical problem of the scattering of lattice waves by point defects can be solved exactly. The resulting cross sections occur in the Boltzmann equation for the phonon distribution, which can be treated by a variational procedure. In particular, a study is made of the effect on the thermal conductivity of isotopes, together with that of other scattering processes due to anharmonicities and the surface of the crystal.