Theoretical prediction of validity of isothermal EOS for calculation of Grüneisen Parameter for bcc elements


 

 

By Anjani K. Pandey

 

 

ABSTRACT

 

The Grüneisen parameter (  ) is of considerable importance to Earth scientists because it sets limitations on the thermoelastic properties of the lower mantle and core. However, there are several formulations of the Grüneisen parameter in frequent use which not only give different values for   at ambient pressure  but also predict a varying dependence of   as a function of compression. The Grüneisen parameter is directly related to the equation of state (EOS), yet it is often the case that both the form of   and the EOS are chosen independently of each other and somewhat arbitrarily. In this paper we have assessed some of the more common definitions of the Grüneisen parameter and the EOS, and have applied them to a test the validity of EOS for eight different bcc elements.

 

 

 

Keywords : Grüneisen parameter ,EOS, Acoustic gamma, Bulk modulus

 

 

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