Derivation of Some Equations of State for Solids. A New Approach

Abstract

It is shown that the pressure‐independence of the product of the thermal coefficient of volume expansion, α, and the isothermal bulk modulus, B_T, can give rise to the equation of state for solids as given by (i) Birch, (ii) Murnaghan, (iii) Tait, and others which are extensively used to fit the compression data. Moreover, some new equations of state are also developed. Further, as an example, the values of V(P, T)/V(0, T) are computed at 300 K for the case of sodium chloride and the results so obtained are compared with the data available in the literature. Overall, the conclusion is drawn that Murnaghan's equation of state is the best of all the equations of state available so far from the utility and practical point of view.