Counting the cyclocized polyphenacenes
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Updated: Jun 9, 2026

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level
Published on: September 26, 2016
1School of Mathematical Sciences, Xiamen University, Xiamen 361005, Fujian, People's Republic of China. jgqian@xmu.edu.cn
Abstract:
In general the cyclocized polyphenacenes have a geometric nonplanar structure. This article gives an explicit expression of the counting formula for the two types of cyclocized polyphenacenes, viz., the belt-type and Möbius type, respectively. The result implies that almost all the belt-type cyclocized polyphenacenes, roughly speaking, are chiral if they are sufficiently large. The numerical results for these two types with the number of phenyl rings from 3 up to 18 are listed, as an example.
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