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The second virial coefficient and Boyle's temperature of three different mesogenic potentials (Kihara, Gay–Berne and Gay–Berne–Kihara) have been determined via numerical integration. Several models with different anisotropies and shapes (prolate and oblate) have been considered. Discussion about the feasibility of employing a simple set of intermolecular parameters to describe the whole phase diagram of these models is included.