Assessment of Several Equations of State for the Calculation of Thermodynamic Coefficients of Solids

نویسندگان

1 Department of Physics & Material Science, Madan Mohan Malviya University of Technology, Gorakhpur (UP), India

2 Department of Physics & Material Science, Madan Mohan Malviya University of Technology, Gorakhpur (UP), India

3 Department of Physics, School of Basic Sciences, Lucknow, (UP), India

4 Department of Physics, Nandini Nagar P.G. College, Nawabganj, Gonda, (UP), India

5 Munna Lal Inter College, Wazirganj, budaun, (UP), India

doi
10.22036/pcr.2025.524577.2685
چکیده

This comprehensive study examines five equations of state (EoSs) – Vinet, Kholiya, Murnaghan, Birch-Murnaghan, and the newly derived Srivastava-Pandey EoS. Bulk modulus and thermal expansion coefficient expressions were derived, and compression versus pressure and thermal expansion curves were plotted. The results, analysed across four materials, provide a thorough understanding of the subject. Pressure and bulk modulus increased with compression, while thermal expansion decreased for MgO. Srivastava-Pandey and Vinet EoS emerged as the most accurate, matching experimental data, with other EoS deviating at high compression. NaF exhibited similar trends, with Vinet, Srivastava-Pandey, and Birch-Murnaghan closely aligning with experimental results, though Birch-Murnaghan showed deviations at high compression. In Xe, Kholiya, and Birch-Murnaghan EoS were better suited, producing thermal expansion results that followed the experimental pattern. The Srivastava-Pandey EoS produced the most accurate results for Cu, while the Murnaghan model showed significant deviations in thermal expansion. The Shanker-Kumar criterion validates the thermal expansion coefficient, providing a robust foundation for further research and practical applications.