Possible Symmetry Species of Fullerenes

V. V. Gusarov*, V. M. Talanov**, N. V. Fedorova**, and Sh. G. Ammaeva**

* Grebenshchikov Institute of Silicate Chemistry, Russian Academy of Sciences,
ul. Odoevskogo 24/2, St. Petersburg, 199155 Russia

** South-Russia State Technical University, ul. Prosveshcheniya 132, Novocherkassk, 346400 Russia

Abstract—The problem of determination of the symmetry groups is solved for all possible symmetrically non-
equivalent species of the fullerene molecule that can appear as a result of its continuous deformations. The prob-
lem is solved on the basis of the previously proposed method for analyzing the fundamental domains of point
symmetry groups.

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