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Title of Journal: J Math Chem

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Abbravation: Journal of Mathematical Chemistry

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Springer Netherlands

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DOI

10.1007/bf00526106

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ISSN

1572-8897

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Fuzzy symmetries of two classes of linear polyacen

Authors: Yun Li Shengkai Xing Xuezhuang Zhao Zhenfeng Shang Zunsheng Cai Xiufang Xu Guichang Wang Ruifang Li
Publish Date: 2011/03/25
Volume: 49, Issue: 6, Pages: 1199-
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Abstract

The fuzzy symmetries of two kinds of linear polyacene molecules are probed into in the paper In these molecules any one of the benzene rings abreast connects at most other two rings in two ways either its two opposite C–C bonds combine with two other rings respectively or its two metaposition C–C bonds connect two rings in cis and transform respectively The former is called ppolyacenes or straight polyacenes and the latter is mpolyacenes or kinked ones It can be thought as the planar molecule with approximate onedimensional space periodic transformation parallel translation symmetry namely group rm G 12 symmetry when the number of its benzene ring is very large on the other hand it can be considered as the fuzzy group rm G 12 symmetry if the benzene ring number is not large enough The ppolyacene and mpolyacene with 20 benzene rings are analyzed as typical examples and the energies of the πmolecular orbital MO and the fuzzy symmetry characters related to the space symmetry transformations are carefully examined Moreover the πMOs of the ppolyacenes and mpolyacenes with different numbers of benzene ring are investigated to obtain the related rules

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