Symmetries of closed-shell icosahedral fullerenes

Based on our Hückel calculated results for icosahedral fullereness the molecules Cn with n = 60 N are closed shell, where N has to satisfy the group requirements. By using the representative patch, we obtain the symmetries of π molecular orbitals for the icosahedral fullerenes. With the aid of the relationship between C60N and C20N, the symmetries of π bonding molecular orbitals are also offered.