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The Grüneisen parameter at extreme compression and the melting behaviour of some binary solids using the Burakovsky-Preston model
K. Anand

The generalized free volume formula and the Burakovsky-Preston model have been used to determine a new relationship for the gamma infinity in terms of pressure derivative of bulk modulus and the third- order Grüneisen parameter, both at infinite pressure. The validity of the thermodynamic constraint has been established firmly according to which the pressure derivative of bulk modulus K’_∞ is greater than the third-order Grüneisen parameter λ_∞ in the limit of infinite pressure. The difference between K’_∞ and λ_∞ has been found in terms of ϒ_∞. The Burakovsky-Preston model with ϒ_∞ =1/2 has been used in the Lindemann law of melting to predict melting curves of NaCl, NaF, LiF, MgO, CaF₂, SiC at high pressures in good agrement with the available experimental data.

Keywords: Grüneisen parameter, generalized free volume formula, Burakovsky-Preston model, Lindemann law, melting curves of binary solids