The numbers of and symmetries spanned by isomeric derivatives of a molecular framework can be found as explicit functions of the permutation (σ) representation of its vertices. Chiral and achiral derivatives can be counted separately. This pencil-and-paper method is applied to derivatives of isolated-pentagon fullerene isomers C60 to C84.
P. W. Fowler, J. Chem. Soc., Faraday Trans., 1995, 91, 2241 DOI: 10.1039/FT9959102241
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