%0 Journal Article
%T Enumeration of Kekule Structures of Polyhex Monoradical Having Only Linear Assemblies of Benzenoid Hydrocarbons
%J Science Journal of Chemistry
%@ 2330-099X
%D 2019
%X A mathematical process of enumeration of Kekule structures of any polybenzeno£¿d monoradical having only linear assemblies of benzenoid hydrocarbons is given by using a method which consisted of the excision of the radical center in order to obtain a conjugated hydrocarbon having a 12-annulene core ring appended to one or more polybenzeno£¿d fragments, the partition of the resulting conjugated hydrocarbon into smaller independent resonant circuits. Polyhex monoradical skeletons are obtained from a building up procedure which consists to fuse in different ways the acenaphtyl moiety with one or more polybenzeno£¿d fragments. Mathematical formulas are established for three cases of assemblies, one edge linear assemblies, two edges linear assemblies with two linear polybenzenoid fragments located at right angles ¦È = 60¡ã, 120¡ã or 180¡ã and three edges linear assemblies with three linear polybenzenoid fragments located at right angles ¦È= 60¡ã, 120¡ã or 180¡ã. Results show that the number of Kekule structures of any polybenzeno£¿d monoradical having only linear assemblies of benzenoid hydrocarbons increases with the number of fused benzenoids according to results compiled in the table for h equal 1, 2, 3 and 4. Difficulty to represent graphs when the number of structures increases with the number of benzenoids cannot be neglected
%K Polyhex
%K Enumeration
%K Kekule
%K Monoradicals
%K Linear Assemblies
%U http://www.sciencepublishinggroup.com/journal/paperinfo?journalid=125&doi=10.11648/j.sjc.20190703.11