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A Classification Scheme for Toroidal Molecules
[article]
1995
arXiv
pre-print
We construct a class of periodic tilings of the plane, which corresponds to toroidal arrangements of trivalent atoms, with pentagonal, hexagonal and heptagonal rings. Each tiling is characterized by a set of four integers and determines a toroidal molecule. The tiling rules are motivated by geometric considerations and the tiling patterns are rich enough to describe a wide class of toroidal carbon molecules, with a broad range of shapes and numbers of atoms. The molecular dimensions are simply
arXiv:mtrl-th/9502001v2
fatcat:hap6cvms2bepdg4oycejtmyz24