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Theory of helicenic hydrocarbons. Part 5: Irreducible helicenes and their enumeration |
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| Authors: | Zhang Fuji J. Brunvoll S. J. Cyvin B. N. Cyvin Guo Xiaofeng A. A. Dobrynin |
| Affiliation: | (1) Department of Mathematics, Xiamen University, Fujian, P.R. China;(2) Department of Physical Chemistry, The University of Trondheim, N-7034 Trondheim-NTH, Norway;(3) Department of Mathematics, Xinjiang University, Wulumuqi, P.R. China;(4) Siberian Branch of Russian Academy of Sciences, Institute of Mathematics, Novosibirsk, Russia |
| Abstract: | An irreducible helicene is a helicene from which no hexagon can be deleted if it shall remain to be a helicene. The generation of irreducible helicenes from primitive coronoids is treated, and algebraic expressions are deduced for their numbers. Symmetry plays an important role in this treatment. Numerical results obtained with the aid of computer programming are reported. |
| Keywords: | Primitive coronoid irreducible helicene enumeration |
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