Compare Halide Melting Curves using the Equation of State and Lindemann's Law for a Comprehensive Analysis

Abstract: The primary objective of this work is to accurately predict the equation of state necessary for calculating the pressure-dependent melting curves of alkali halides. In this study, we assert a distinct model for the melting curve utilizing the Murnaghan, Singh and Kao, Shanker, and Usual-Tait equations of state. Our developed model, rigorously tested and compared with Lindemann's model, defines the relationship among pressure, bulk modulus, pressure derivative of bulk modulus, and volume compression. Our findings unequivocally demonstrate that a substantial increase in melting temperature is directly attributed to a significant increment in bulk modulus and a gradual decrement rate in the first-order pressure derivative of bulk modulus. This study provides unparalleled insights into the fundamental understanding of the effect of pressure on melting temperature. The model we have obtained is unequivocally reliable for extrapolating melting temperature to high pressure, giving you confidence in its application. Keywords: Thermodynamic model, bulk modulus, First-order pressure derivative of bulk modulus, Melting temperature, Equation of state.