An efficient method for the determination of fourth virial coefficient with Lennard-Jones (12-6) potential and its application

In this work, a new theoretical approach is proposed for calculating fourth virial coefficient with Lennard-Jones potential. The established algorithm can be used to evaluate the thermodynamics properties and the intermolecular interaction potentials of liquids and gases with an improved accuracy. Note that the evaluation of the high-order virial coefficients is very valuable for accurate calculation of thermodynamic parameters. By using the suggested method, the fourth virial coefficient of CH₄, Ar, C₂H₆ and SF₆ molecules are evaluated. The calculation results are useful for accurate interpretation of the experimental data and of the determination of related physical properties.