Pressure Dependence of Melting Temperature of Iron at the Earth’s Core Conditions

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A semi-empirical relation to compute the pressure dependence of the melting temperature, \(T_\mathrm{m}(P)\), is derived in terms of the bulk modulus, Gruneisen parameter, and their first derivative with pressure. It is used to compute \(T_\mathrm{m}(P)\) for iron for pressures ranging up to 350 GPa at conditions relevant to the Earth’s core. The computed results are in excellent agreement with the values obtained from first principle calculations.