New Approach to Estimate the Melting Temperature Variation with Pressure in Alkali Halides

In the present study, the variation in melting temperature of alkali halides is studied with repect to pressure using the Lindemann –Gilvarry law for melting. The model requires the value of Grüneisen parameter along with volume compression. The Equation of state used to estimate the variation of volume with isothermal pressure is Goyal and Gupta EoS. The EoS satisfies Stacey’s criteria which confirm the validity of Goyal and Gupta EoS at high pressure values. It is found from model calculations that Grüneisen parameter decreases with increase in pressure, however, melting temperature increases with pressure non-linearly as the slope of melting curve is found to decrease continuously as pressure increases. The variation of Grüneisen parameter with pressure matches with the general trend of variation as depicted in previous studies. The present computed results for pressure dependent melting temperature are compared with the available experimental results which present a good consistency between the compared results. The approach formulated can be used to estimate the melting temperature of solids at high pressure values and is simpler than DFT computations.

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Publication Details

Journal
The International Journal of Maritime Engineering
Published
2025-09-20
DOI
https://doi.org/10.5750/ijme.v167ia3(s).1700
Primary Topic
Chemical Thermodynamics and Molecular Structure
Type
article
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article

New Approach to Estimate the Melting Temperature Variation with Pressure in Alkali Halides

K. V. Lakshmi, Monika Goyal, Dhiraj Singh, Abhishek Joshi
The International Journal of Maritime Engineering
Chemical Thermodynamics and Molecular Structure
article

New Approach to Estimate the Melting Temperature Variation with Pressure in Alkali Halides

K. V. Lakshmi, Monika Goyal, Dhiraj Singh, Abhishek Joshi
article en

Abstract

In the present study, the variation in melting temperature of alkali halides is studied with repect to pressure using the Lindemann –Gilvarry law for melting. The model requires the value of Grüneisen parameter along with volume compression. The Equation of state used to estimate the variation of volume with isothermal pressure is Goyal and Gupta EoS. The EoS satisfies Stacey’s criteria which confirm the validity of Goyal and Gupta EoS at high pressure values. It is found from model calculations that Grüneisen parameter decreases with increase in pressure, however, melting temperature increases with pressure non-linearly as the slope of melting curve is found to decrease continuously as pressure increases. The variation of Grüneisen parameter with pressure matches with the general trend of variation as depicted in previous studies. The present computed results for pressure dependent melting temperature are compared with the available experimental results which present a good consistency between the compared results. The approach formulated can be used to estimate the melting temperature of solids at high pressure values and is simpler than DFT computations.

The International Journal of Maritime EngineeringVol. 167(A3(S))
Openalex Percentile: Top 81%
Chemical Thermodynamics and Molecular Structure
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