Grüneisen parameter and elastic constants of crystals and vitreous bodies

Abstract

The squared ratio of the root-mean-square sound velocity to the velocity of transverse acoustic waves has a meaning of the average dimension of localization regions of energy accumulated by a deformable body. The Grüneisen parameter of solid bodies with identical values of this dimension depends linearly on the parameter γ 3 being an unambiguous function of the Poisson coefficient. Solid bodies are grouped according to values of the average dimension of energy localization regions. The Belomestnykh-Tesleva formula relating the Grüneisen parameter to the Poisson coefficient follows from the suggested approach. The nature of the interrelation between these quantities is discussed.