Analysis of Anderson–Grüneisen parameter under high temperature in alkaline earthoxides

The Anderson–Grüneisen parameter (δ) is of considerable importance to Earth scientists because it sets limitations on the thermo-elastic properties of the lower mantle and core. However, there are several formulations on the Grüneisen parameter, which are in frequent use and predict varying dependence of δ as a function of temperature. In this paper, the expressions for thermal expansion, thermal expansion coefficients and bulk modulus are obtained considering the anharmonic dependence on temperature and are applied to study these constants to alkaline earth oxides. Using the derived expressions, we have shown that different parameters on which the Anderson–Grüneisen parameter (δ) depends are temperature dependent, but above all the Anderson–Grüneisen parameter (δ) is independent of temperature. The results obtained have been found to be comparable to experimentaldata.

Research Highlights
► The Anderson–Grüneisen parameter (δ) is independent of temperature.
► Three parameters, volume coefficient of thermal expansion, bulk modulus, and the Anderson–Grüneisen parameter, can completely describe the thermo-physical behavior of a solid.
► Useful in analyzing the thermo-elastic behavior, microscopic behavior, internal structure and other related properties ofAEO.