Thermodynamic Functions for Body Centered Cubic Lattice- Application on Lattice Green's Function

TL;DR

This paper analytically evaluates thermodynamic functions of ionic systems on body centered cubic lattices using Green's functions, expressing key properties through hypergeometric functions and elliptic integrals.

Contribution

It introduces an analytical approach to compute thermodynamic functions for ionic systems on BCC lattices using advanced mathematical functions.

Findings

Expressions for free energy, chemical potential, and pressure derived

Analytical formulas involving hypergeometric and elliptic functions provided

Method applicable to ionic systems on BCC lattices

Abstract

Thermodynamic functions of ionic systems were evaluated analytically using the Green's Function for Body Centered Cubic Lattices. The free energy density, chemical potential, pressure, spinodals, and coulomb ionic potentials are expressed in terms of hyper geometric functions 3F2 and complete elliptic integrals