This work is the continuation of the previous ones on the calculation of the second virial coefficient of nonspherical molecules using an accurate Hartree–Fock dispersion individually damped (HFD-ID) potential type as a core potential. The contributions of different terms including electrostatic, induction, and dispersion interactions to the second virial coefficients are calculated using the previously reported auxiliary functions. Following this procedure, we have fitted the well-depth and the position of the minimum in the core potential to calculate the second virial coefficient of N 2O, CH 4, C 2H 4, C 2H 6, and SF 6. Our calculations cover the whole range of temperatures reported in the literature and are compared with the large body of experimental data in the literature, and with the previous calculations by Boushehri et al. (1987). The agreement with both experimental data and theoretical calculations is quite good.