Extension of lindemann's formula to study the pressure dependence of melting temperature

Sayyadul Arafin*, Ram N. Singh, Abraham K. George

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)

Abstract

Lindamann's formula is extended to investigate the pressure dependence of the melting temperature, T m(P). The important ingredient is the pressure dependence of the Debye temperature which has been determined from the measured data of acoustic longitudinal and transverse waves velocities. It is shown that Lindemann's type relation can be utilized to obtain an empirical relation for T m(P) in terms of the Grüneisen parameter and the bulk modulus. Computed values of T m(P) for alumina, Heusler alloy, and gabbro (an igneous rock) are presented.

Original languageEnglish
Pages (from-to)1013-1022
Number of pages10
JournalInternational Journal of Thermophysics
Volume33
Issue number6
DOIs
Publication statusPublished - Jun 2012

Keywords

  • Alumina
  • Debye temperature
  • Gabbro
  • Heusler alloy
  • Lindemann's law
  • Melting temperature

ASJC Scopus subject areas

  • Condensed Matter Physics

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