CORANNULENE AS A MEMBER OF CIRCULENES - ITS TOPOLOGICAL PROPERTIES AND MOLECULAR VIBRATIONS

The polycyclic aromatic hydrocarbon C20H10 corannulene or [5]circulene, is considered as a member of a class of [n]circulenes. The Kekule structure counts of [n]circulenes are expressed in terms of the Lucas numbers and by means of the matching polynomials of the cycles C(n). For corannulene in particular, the Huckel molecular orbital energies are computed, and a normal coordinate analysis of molecular vibrations is performed. Some new enumeration results for coronoids belonging to the class of [n]circulenes considered are reported.