Hypothetical derivatives of corannulene C20[t10 (Cor), namely, CorX 5" radicals, CorX 5anions (X = H, C1, or Br), and their B~-n-complexes with SiCp, were calculated by the MN DO/PM3 method. The possibilities of using the results of these calculations for modeling the electronic structure and geometry of fragments of the analogous complexes of the fullerene derivatives C60X 5 are discussed. Calculations of C60X 5" radicals and C6eX 5-anions were also carried out. In all the compounds under study, the X atoms are attached to carbon atoms in c~ positions with respect to the same five-membered ring.