Fully analytical evaluation of second virial coefficient with Stockmayer potential and its applications

In this study, fully analytical treatment for evaluating the second virial coefficient with Stockmayer potential is presented. This approach is based on the binomial expansion theorems and basic integrals for the analytical representation of the second virial coefficient. The presented relationships for the second virial coefficient over Stockmayer potential can be useful especially in the studies of the interaction of polar molecules with higher dipole moments. The usefulness of the method is confirmed by $\rm H_2\rm O$, $\rm NH_3$, and $\rm CHCl_3$ molecules. The obtained results of second virial coefficient are in good agreement with literature data.