Equations of state of alpha, epsilon and liquid iron and iron's melting curve -- Thermodynamic calculations

Statistics – Computation

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Earth Core, Equations Of State, Iron, Liquid Metals, Melting, Thermodynamics, Computation, Gibbs Free Energy, High Pressure, Isotherms, Numerical Analysis

Scientific paper

The melting curve between epsilon and liquid iron (100GPa less than P less than 300GPa) has been derived by computing Gibbs free energies at high pressures and high temperatures from equations of state of the alpha, epsilon and liquid phases. The most uncertainty lies in the equation of state (EOS) of the epsilon phase. By comparing the calculations to experimental data, the internal thermodynamic consistency of the three phases are examined. The best fits to the melting curve of Boehler (1993) and Williams et al. (1987) can be obtained with lower bulk moduli than determined by static compression. Using available equations of state of the iron phases, our calculations indicate that if sub-solidus iron is of the epsilon phase, Boehler's melting curve is thermodynamically more consistent than Williams et al.'s. The problem is complicated by the possible existence of a new phase between the epsilon and the liquid fields.

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