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

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

2008-04-18

arxiv.org/abs/0804.2929v2

Physics

Geophysics

Scientific paper

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

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