An equation of state for alkali metals

Sayyadul Arafin; Ram N. Singh

doi:10.1016/j.jpcs.2015.12.007

An equation of state for alkali metals

Sayyadul Arafin^*, Ram N. Singh

^*Corresponding author for this work

Physics

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

Semi-empirical equations of state based on Lindemann's law have been developed to determine the pressure (P) dependence of the melting temperature (T_m) of Li, K, Rb and Cs. The basic inputs are Grüneisen parameter and the bulk modulus. T_m-P variations exhibit maximum melting temperature with concave downwards. The maximum in T_m for Cs is found to occur at pressure of 2.2 GPa whereas for Li, K and Rb it falls in the range of 7-9.5 GPa. The predicted values of T_m as a function of pressure, based on the present empirical relation, fit quite well with the available experimental data. The empirical relation can also be used to extrapolate T_m at higher pressure from the values available at lower pressures.

Original language	English
Pages (from-to)	101-105
Number of pages	5
Journal	Journal of Physics and Chemistry of Solids
Volume	91
DOIs	https://doi.org/10.1016/j.jpcs.2015.12.007
Publication status	Published - Apr 2016

Keywords

Alkali metals
Equation-of-state
Thermodynamic properties

ASJC Scopus subject areas

Condensed Matter Physics
General Chemistry
General Materials Science

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10.1016/j.jpcs.2015.12.007

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title = "An equation of state for alkali metals",

abstract = "Semi-empirical equations of state based on Lindemann's law have been developed to determine the pressure (P) dependence of the melting temperature (Tm) of Li, K, Rb and Cs. The basic inputs are Gr{\"u}neisen parameter and the bulk modulus. Tm-P variations exhibit maximum melting temperature with concave downwards. The maximum in Tm for Cs is found to occur at pressure of 2.2 GPa whereas for Li, K and Rb it falls in the range of 7-9.5 GPa. The predicted values of Tm as a function of pressure, based on the present empirical relation, fit quite well with the available experimental data. The empirical relation can also be used to extrapolate Tm at higher pressure from the values available at lower pressures.",

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author = "Sayyadul Arafin and Singh, {Ram N.}",

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T1 - An equation of state for alkali metals

AU - Arafin, Sayyadul

AU - Singh, Ram N.

PY - 2016/4

Y1 - 2016/4

N2 - Semi-empirical equations of state based on Lindemann's law have been developed to determine the pressure (P) dependence of the melting temperature (Tm) of Li, K, Rb and Cs. The basic inputs are Grüneisen parameter and the bulk modulus. Tm-P variations exhibit maximum melting temperature with concave downwards. The maximum in Tm for Cs is found to occur at pressure of 2.2 GPa whereas for Li, K and Rb it falls in the range of 7-9.5 GPa. The predicted values of Tm as a function of pressure, based on the present empirical relation, fit quite well with the available experimental data. The empirical relation can also be used to extrapolate Tm at higher pressure from the values available at lower pressures.

AB - Semi-empirical equations of state based on Lindemann's law have been developed to determine the pressure (P) dependence of the melting temperature (Tm) of Li, K, Rb and Cs. The basic inputs are Grüneisen parameter and the bulk modulus. Tm-P variations exhibit maximum melting temperature with concave downwards. The maximum in Tm for Cs is found to occur at pressure of 2.2 GPa whereas for Li, K and Rb it falls in the range of 7-9.5 GPa. The predicted values of Tm as a function of pressure, based on the present empirical relation, fit quite well with the available experimental data. The empirical relation can also be used to extrapolate Tm at higher pressure from the values available at lower pressures.

KW - Alkali metals

KW - Equation-of-state

KW - Thermodynamic properties

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JO - Journal of Physics and Chemistry of Solids

JF - Journal of Physics and Chemistry of Solids

ER -

An equation of state for alkali metals

Abstract

Keywords

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