Symmetry and PI Polynomials of C50+10n Fullerenes

چکیده مقاله

A counting polynomial is a sequence description of a topological property such that the exponents are the extent of its partitions while the coefficients are related to the occurrence of these partitions. In this paper, the symmetry and then PI polynomials of an infinite family of fullerenes with 50 + 10n carbon atoms with D5h point group symmetry are computed. As a consequence the PI index of this class of fullerenes is computed.