Valence electron contributions to the static molecular third-order pol
arizabilities (gamma) are calculated for C-60, C-70, and two stable st
ructures of C-84 (D-2 and D-2d). The method utilized is based on the f
inite-field approach coupled with semiempirical polarization calculati
ons on all-valence electrons. An increase in the third-order polarizab
ility contributions is observed for molecular structures with a reduct
ion in group symmetry, in agreement with recent experimental observati
ons for these fullerenes. This increase is attributed mainly to the ap
pearance of aromatic structures within the molecules as well as to the
increase in molecular volume.