Second virial coefficient of a generalized Lennard Jones potential.
We present an exact analytical solution for the second virial coefficient of a generalized Lennard Jones type of pair potential model. The potential can be reduced to the Lennard Jones, hard sphere, and sticky hard sphere models by tuning the potential parameters corresponding to the width and depth of the well. Thus, the second virial solution can also regain the aforementioned cases. Moreover, the obtained expression strongly resembles the one corresponding to the Kihara potential. In fact, the Fk functions are the same. Furthermore, for these functions, the complete expansions at low and high temperature are given. Additionally, we propose an alternative stickiness parameter based on the obtained second virial coefficient.
The Journal of chemical physics