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Enumeration of IPR hetero-fullerenes C34×3n constructed by leapfrog principle

M. GHORBANI1,* , M. GHAZI1, S. SHAKERANEH1

Affiliation

  1. Department of Mathematics, Faculty of Science, Shahid RajaeeTeacher Training University, Tehran, 16785-136, I. R. Iran

Abstract

Hetero-fullerenes are fullerene molecules in which one or more carbon atoms are replaced by hetero-atoms such as boron or nitrogen, whose formation is a kind of “on-ball” doping of the fullerene cage. In this paper by using the Pólya's theorem we compute the number of possible positional isomers and chiral isomers of the hetero-fullerenes.

Keywords

Fullerene, Hetero-fullerene, Leapfrog principle, Cycle index.

Citation

M. GHORBANI, M. GHAZI, S. SHAKERANEH, Enumeration of IPR hetero-fullerenes C34×3n constructed by leapfrog principle, Optoelectronics and Advanced Materials - Rapid Communications, 4, 7, July 2010, pp.1033-1036 (2010).

Submitted at: June 9, 2010

Accepted at: July 14, 2010