Tallon’s Equation & Its Applications In Superconducting Metals

ABSTRACT

It is rather well known that properties of solids under the effect of high pressure and high temperature provide valuable information for understanding the thermodynamic behavior, the equation of state, and the thermoplastic properties. Experimental studies conducted so far; have not been able to attain the extreme pressure and temperature conditions that exist in the earth’s lower mantle. Thus theoretical studies play an important role in advancing our knowledge of high pressure-high temperature physics of solids. Such studies involve the use of various thermodynamic relations and approximations regarding the variation of thermal expansion coefficient, bulk modulus, Anderson-Gruneisen parameter and the other related parameters with pressure and temperature. The high pressure behavior of various solids can only be well understood if we have data on the bulk modulus as a function of pressure. In principle, the isothermal bulk modulus KT can be determined from an isothermal equation of state representing the relationship between pressure and volume at a fixed temperature. We, therefore, select a number of equations of state most widely used and frequently reported in the recent literature [1,2,3] and shall make use do them to find corresponding relevant expressions for the pressure dependence of the bulk modulus.

 

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