https://doi.org/10.1140/epjp/s13360-022-02733-4
Regular Article
Analysis of melting of some metals using pressure dependence of the Grüneisen parameter in the Lindemann law
1
Department of Physics, I. B. S. Khandari Campus, Dr. Bhimrao Ambedkar University, 282002, Agra, India
2
Department of Mechanical Engineering, Delhi Technological University, 110042, Delhi, India
3
Department of Physics, I. E. T. Khandari Campus, Dr. Bhimrao Ambedkar University, 282002, Agra, India
Received:
21
January
2022
Accepted:
17
April
2022
Published online:
4
May
2022
In order to obtain the melting curves representing the relationship between melting temperature and pressure for a material with the help of Lindemann’s law, we need an accurate evaluation of the bulk modulus and the Grüneisen parameter at different pressures. We have used the results determined from the reciprocal K-primed equation of state and the reciprocal gamma relationship in the Lindemann formulation to calculate melting temperatures and slopes of the melting curves for ten metals, viz. Cu, Mg, Pb, Al, In, Cd, Zn, Au, Ag, Mn at different pressures. The results are found to present reasonably good agreement with the experimental data up to 16 GPa, except in few cases such as Al. The melting curves of five metals, viz. Cu, Mg, Zn, Au, Ag, are extended into a megabar pressure range using the present method and compared with the data reported in the recent literature. The agreement with the experimental data is improved to a great extent when we use the Stacey law of melting in place of the Lindemann law. The method developed in the present study has the advantage that the melting curve can be determined analytically without using power computers.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022
