A SIMPLE DERIVATION OF THE USUAL-TAIT EQUATION OF STATE BY FITTING PARAMETER

In the present study, we have derived a well-known Usual-Tait equation of state using a simple fitting parameter method and primary boundary conditions of the equation of state.The accuracy of Usual-Tait EOS is very high compared to other equations of state taken in the study, and for better clarity, we compare with available experimental data.The most straightforward equation quickly transforms into an inverted equation of state without neglecting any term or approximation; therefore, the accuracy of calculated values of other properties becomes very high.Usual-Tait also deviates at high compression regions; behind this is a fundamental principle considered during derivation.An atom's binding energy contains attractive and repulsive terms, but all the equations of state are considered attractive terms.This study also suggests developing a new state equation that includes beautiful and vile terms, is simple, and contains minimum terms.