Pressure derivative of the melting temperature for some alkali halides

2010 ◽  
Vol 88 (3) ◽  
pp. 175-179
Author(s):  
Chuanhui Nie
Keyword(s):  
High Temperature ◽  
Melting Temperature ◽  
Close Agreement ◽  
Ambient Pressure ◽  
Alkali Halides ◽  
Grüneisen Parameter ◽  
Pressure Derivative ◽  
Gruneisen Parameter ◽  
Theory And Experiment

Assuming that the Anderson–Grüneisen parameter δT and the Grüneisen parameter γ are constant at high temperature and ambient pressure, we calculate the pressure derivative of melting temperature for some alkali halides (NaCl, NaBr, NaI, KCl, KBr, KI), and compare them with the results of other models. A close agreement between theory and experiment reveals the validity of the present work.

The high-temperature Gruneisen constant of cubic lattices

1970 ◽  
Vol 48 (1) ◽  
pp. 9-12 ◽  
Author(s):  
J. S. Brown
Keyword(s):  
High Temperature ◽  
Explicit Formula ◽  
Matrix Algebra ◽  
Nearest Neighbor ◽  
Grüneisen Parameter ◽  
Gruneisen Parameter ◽  
Cubic Crystal ◽  
Cubic Lattices ◽  
Grüneisen Constant

An explicit formula is derived for the Gruneisen parameter γ∞ of a cubic crystal. The result which follows simply from a theorem of matrix algebra is illustrated by application to the 6–12 nearest-neighbor model of solid neon.

scholarly journals Higher order derivatives of bulk modulus of materials at infinite pressure

2016 ◽  
Vol 94 (8) ◽  
pp. 748-750 ◽  
Author(s):  
A. Dwivedi
Keyword(s):  
Bulk Modulus ◽  
Higher Order ◽  
Grüneisen Parameter ◽  
Third Order ◽  
Pressure Derivative ◽  
Basic Principles ◽  
Gruneisen Parameter ◽  
The Third ◽  
The Status ◽  
Derivatives Of

Pressure derivatives of bulk modulus of materials at infinite pressure or extreme compression have been studied using some basic principles of calculus. Expressions for higher order pressure derivatives at infinite pressure are obtained that are found to have the status of identities. A generalized formula is derived for the nth-order pressure derivative of bulk modulus in terms of the third-order Grüneisen parameter at infinite pressure.

Theoretical Determination of Pressure-Volume-Temperature Relationship of Some Alkali Halides

2008 ◽  
Vol 272 ◽  
pp. 107-116
Author(s):  
Quan Liu
Keyword(s):  
Alkali Halides ◽  
Temperature Relationship ◽  
Grüneisen Parameter ◽  
Gruneisen Parameter ◽  
Volume Dependence ◽  
Compression Data ◽  
Experimental Values ◽  
Relationship Of ◽  
Good Agreement

The Chopelas-Boehler approximation for the volume dependence of the Anderson-Gruneisen parameter along isotherms and the new approximation for the volume dependence of the Anderson-Gruneisen parameter along isobars have been used to study the pressure-volume-temperature relationship for LiF, NaF and CsCl crystals up to a pressure of 90kbar and in the temperature range 298-1073K. The calculated values of compression data and experimental values are found to be in good agreement.

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