Expression for the Bulk modulus and its Pressure derivatives have been derived and reduced to the limit of infinite pressure. The Pressure dependence of thermal expensively and the Grüneisen Parameter both are determined using the formulations which satisfy the thermodynamic constraints at infinite pressure. Values of Bulk modulus and its Pressure derivative are also obtained for the entire range of Temperatures and Pressures considered in the present study. We have also investigated the Thermo elastic Properties of MgO at high Temperature and High Pressures using the results based on the EOS. The method based on the calculus in determinates for demonstrating that on the physically acceptable EOS Satisfy the identities for the pressure derivatives of bulk modulus Materials.
Pressure derivatives, Bulk modulus, Thermal Expansively, Grüneisen Parameter, MgO, Infinite Pressure behavior
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