Extension of Lindemann's Formula to Study the Pressure Dependence of Melting Temperature

Lindamann's formula is extended to investigate the pressure dependence of the melting temperature, T (m)(P). The important ingredient is the pressure dependence of the Debye temperature which has been determined from the measured data of acoustic longitudinal and transverse waves velocities. It is shown that Lindemann's type relation can be utilized to obtain an empirical relation for T (m)(P) in terms of the Gruneisen parameter and the bulk modulus. Computed values of T (m)(P) for alumina, Heusler alloy, and gabbro (an igneous rock) are presented.