Lindemann Melting Law: Anharmonic correction and test of its validity for minerals

摘要: High-pressure experimental data are used to evaluate the validity of Lindemann melting criterion for minerals. Because anharmonicity can be significant at high temperatures associated with melting, leading order anharmonic contributions mean-square atomic vibrations have been included in present lattice dynamical formulation criterion. The parameters required this expression determined from an inversion thermodynamic so that a direct comparison made without resort model potentials. In general, we find although significantly near point, shape curve predicted is not much influenced by anharmonicity. We demonstrate inconsistent variety substances, particularly low pressures. some cases (argon, sodium chloride and potassium chloride), slopes observed pressures consistent expression. adequate description behavior Therefore, application law obtain minerals pressures, determine fusion earth's deep interior is, present, speculative.