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Universal P-V-T equations of states are derived from the original isothermalexpressions of Birch-Murnaghan and the Vinet EoSs by using absolute referenceframe and incorporating the temperature dependence of the parameters. Theequations are tested against the experiments of perovskite [MgSiO3] andpericlase [MgO]. The determined parameters of the EoSs are valid throughout theentire pressure and temperature ranges, which cover 0-142 GPa and 293-3000 Kand 0-109 GPa and 293-2199 K for periclase and perovskite respectively. Theroot-mean-square (RMS) misfits of the universal Birch-Murnaghan EoS are 0.73and 0.33 GPa and the misfit of the Vinet EoS are 0.74 and 0.32 GPa forperovskite and periclase respectively.

Universal Equation of States are Derived from the Isothermal Relationships of Elastic Solids