Analysis of inverted type high pressure equations of state for solids

Diffrent inverted type equations of state (EOS) have been discussed, which express volume ratio as a function of pressure for materials at a given temperature. It is shown in the present study that some of these EOS do not satisfy the basic requirements revealed from the fundamental thermodynamics for solids in the limit of extreme compressions developed by Stacey. The critical test of EOS for solids under extreme compressions. by evaluating the pressure-volume derivative properties viz. isothermal bulk modulus and its pressure derivative calculated for MgO and NaCl up to extremely large pressures has been presented. Among the five equations of state studied here, the inverted type of EOS due to Bose-Roy S and Bose-Roy P has been found to be most satisfactory. A detailed comparison of this EOS has been presented with the Keane's EOS and the Stacey EOS.