Abstract
From Eyring's method of significant structures, a partition function is derived for liquid iron. The solid at high temperature is described in the Einstein approximation. Magnetic and electronic contributions to the thermodynamic properties of both the liquid and solid phases are considered. The model is compatible with properties (thermal expansion, compressibility, heat capacity, entropy of melting, and volume change on melting) at 1 atm. The melting temperature at high pressure is found by satisfying the requirement that the Gibbs free energies of the liquid and solid phases are equal at the melting temperature. Under conditions at the Earth's core mantle boundary, the melting temperature of iron is ⪆ 5000 K , and under inner-outer core conditions the melting temperature is ⪆ 7000 K . These estimates are consistent with the Lindemann melting law, but not with the Kraut-Kennedy melting law.
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