Wachtman’s equation and temperature dependence of bulk moduli in solids

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Abstract
Anderson has derived an equation describing the temperature dependence of bulk moduli of oxide solids using the Mie‐Grüneisen equation of state. In this paper, we have shown that this equation can be applied to all solids in general, without restricting the applicablity to oxides alone. In our approach, use has been made of the Mie‐Grüneisen equation of state and an assumption that the main change in bulk modulus with temperature arises from the associated volume change and the volume changes encountered are small, which is true in many solids. We have estimated the values of bulk moduli of many nonoxide solids like Au, Ag, Cu, Si, PbSe, Mg2Sn, and MgCu2, which agree well with the experimentally determined values. The Debye characteristic temperature, the Grüneisen parameter, and the Anderson‐Grüneisen parameter have been considered to be temperature dependent.