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Lindemann's criterion and the melting of solids at high pressures

Authors
Journal
Journal of Physics and Chemistry of Solids
0022-3697
Publisher
Elsevier
Publication Date
Volume
37
Issue
6
Identifiers
DOI: 10.1016/0022-3697(76)90105-0

Abstract

Abstract The generalized Lindemann's criterion is utilized to derive the variation of the melting temperature T m with compression. The result incorporates the basic features of the lattice potential as well as the volume dependence of the frequency distribution through the first two moments of the mode Gr√ľneisen parameter. This melting relation predicts that when T m is plotted against the volume of the melting solid, the fusion curves of solids bonded by Van der Waals forces are concave to the temperature axis and in accordance with the predictions of the Simon equation. On the other hand, the predicted melting curves of ionic compounds, as the alkali-halides, are concave to the volume axis and exhibit a maxima at higher pressures. Since silicates generally possess an ionic contribution to the lattice energy, this melting relation should give a more accurate estimate of the high pressure melting temperature for these compounds than Simon's and theoretically similar equations.

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