Abstract

By an iteration method which has recently been applied to perfect rare gas crystals, the phonon Boltzmann equation is solved for a dielectric isotropic solid subjected to a thermal gradient and containing isotope scattering centres. The solution avoids the use of the relaxation time approximation for three phonon collisions, and consequently provides a rigorous description of the interference effects between these collisions and Rayleigh scattering due to point impurities. Good agreement is found between theory and experiment for solid krypton, germanium and silicon.

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