# ENTROPY OF METALS BASED ON THE THEORY OF FREE ELECTRON APPROXIMATION USING THERMODYNAMIC POTENTIALS

## Keywords:

thermodynamic potential, free electron approximation, strain/deformation, Entropy## Abstract

Generalized equation for computing entropy of metals was derived based on theory of free electron approximation using the knowledge of thermodynamic potentials. Poisson ratio representing the negative ratio of transverse and longitudinal strains is

taking into consideration during computation. There is agreement between computed and theoretically obtained experimental value. The experimental results used in this work is theoretically obtained by substituting directly the experimental value of fermi energy (6) into the model used for computation using the mathematical relation between the fermi energy and electron density parameter. Entropy of metals depend on electronic concentration, average electron distance and statistical structure factor. As temperature increases entropy of metals increases due to increase in kinetic energy between interacting electron. Also, increase in entropy as temperature and strain rises is due to atomic disorder and displacement of atoms from their regular atomic site. Entropy of Potassium is the highest during deformation while Tungsten has the lowest entropy during deformation as a result of variation in their atomic

tensile strength.

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*The Journals of the Nigerian Association of Mathematical Physics*,

*64*, 13–18. https://nampjournals.org.ng/index.php/home/article/view/65