Counting the Cyclocized Polyphenacenes

NSFC [10831001]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 Mobius 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. (C) 2010 Wiley Periodicals, Inc. J Comput Chem 31: 2577-2584, 201