Abstract
It has been reinforced that the Lindemann law does not work satisfactorily for determining melting curves of some transition metals such as Mo, Ta and W. The slopes of melting curves for these metals predicted from the Lindemann law are significantly larger than the corresponding observed values. We have used three methods for determining the volume dependence of Grüneisen parameter. The strong discrepancy between the calculated and experimental values of melting slopes reveal inadequacy of the Lindemann law. We have examine the original assumption considered in the derivation of the Lindemann law viz. the Gilvarry criterion according to which the root mean square amplitude of atomic vibrations is a definite fraction of the interatomic distance at melting. It is found in the present study that this critical fraction at melting is not same at different pressures. We have presented an analysis of melting for the transition metals by taking into account the pressure dependence of vibrational elongation. The vibrational elongation changes with the increase in pressure, and can be represented by a simple power law dependence on volume with exponent depending on the material.
Published Version
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