Dihedral fullerenes of threefold symmetry with and without face spirals
نویسندگان
چکیده
A general geometrical construction for fullerenes of threefold dihedral symmetry is reported and used to Ðnd those 3 , 3h , 3d examples of this symmetry that are without face spirals. The smallest, a 384-atom cage, has its twelve pentagons arranged in 3 three separate crosses of four fully fused rings and has four atoms more than the smallest known non-spirallable fullerene. Another structure, a 672-atom cage, is the smallest example of an isolated-pentagon fullerene without a spiral, improving on 3 the previous upper bound by 128 atoms. Altogether, 61 new enantiomeric pairs of nonspirallable fullerenes with less than 1000 atoms belonging to four di†erent classes, all of symmetry, are identiÐed. 3
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