title: Counting the cyclocized polyphenacenes.
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.
authors.affiliation: School of Mathematical Sciences, Xiamen University, Xiamen 361005, Fujian, People's Republic of China. jgqian@xmu.edu.cn
authors.forename: Jianguo
authors.initials: J
authors.lastname: Qian
authors.forename: Fuji
authors.initials: F
authors.lastname: Zhang
mesh_terms: D001555:Benzene Derivatives / Q000138:chemical synthesis / Q000737:chemistry*; D003198:Computer Simulation; D003500:Cyclization; D015394:Molecular Structure; D011083:Polycyclic Compounds / Q000138:chemical synthesis / Q000737:chemistry*
chemical_list: D001555:Benzene Derivatives; D011083:Polycyclic Compounds