On the derivation of the Belomestnykh--Tesleva's formula

Abstract

The Belomestnykh--Tesleva's formula is interesting in that it establishes an unambiguous relationship between the Poisson's ratio and the Gruneisen's parameter. The derivation of this formula from the generally accepted Gruneisen's equation is discussed. The Belomestnykh--Tesleva's formula, obtained earlier from other assumptions, is derived using the theory of elasticity and the Leontiev's equation. For a number of silicate glasses and glassy metaphosphates of alkaline earth metals, the proposed approach finds a fairly satisfactory agreement with the experimental data. Keywords: Gruneisen's equation, Gruneisen's parameter, Poisson's ratio, shear modulus, isothermal bulk modulus, acoustic wave velocities.