Generalizing the procedures of Girifalco and of Verheijen et al. and using results of the preceding work the interaction potential between the molecules of different fullerenes Cn and Cm at orientationally disordered (high-temperature solid and gaseous) phases has been derived. We have calculated the coefficients for interactions of the C60 molecule with the molecules of higher fullerenes from C70 to C96 and with the smaller one, C36. The dependence of the minimum point r0 and of the depth of the potential well ε on the numbers of the atoms in the molecules m and n has been investigated. © 2004 Taylor & Francis Group, LLC.