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

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8 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

Fingerprint

pressure dependence
melting
gabbro
transverse waves
igneous rocks
longitudinal waves
bulk modulus
ingredients
aluminum oxides
specific heat
temperature
acoustics

Keywords

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

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

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title = "Extension of lindemann's formula to study the pressure dependence of melting temperature",
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 Gr{\"u}neisen parameter and the bulk modulus. Computed values of T m(P) for alumina, Heusler alloy, and gabbro (an igneous rock) are presented.",
keywords = "Alumina, Debye temperature, Gabbro, Heusler alloy, Lindemann's law, Melting temperature",
author = "Sayyadul Arafin and Singh, {Ram N.} and George, {Abraham K.}",
year = "2012",
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T1 - Extension of lindemann's formula to study the pressure dependence of melting temperature

AU - Arafin, Sayyadul

AU - Singh, Ram N.

AU - George, Abraham K.

PY - 2012/6

Y1 - 2012/6

N2 - 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.

AB - 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.

KW - Alumina

KW - Debye temperature

KW - Gabbro

KW - Heusler alloy

KW - Lindemann's law

KW - Melting temperature

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DO - 10.1007/s10765-012-1227-8

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JO - International Journal of Thermophysics

JF - International Journal of Thermophysics

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