Algorithms to calculate the distance numbers and the Wiener indices of linear and cylindrical poly (p-phenylene) in terms of number of hexagonal rings

Authors: Basu, Saumya¹; Ghosh, Piyali²; Mandal, Bholanath³

Source: Molecular Physics, Volume 106, Numbers 21-23, November 2008 , pp. 2507-2513(7)

Abstract:

The compounds of poly (p-phenylene) are important materials for electro-optical and electronic applications. Algorithms for the calculation of the distances and hence the Wiener indices (W) of linear poly (p-phenylene) and cylindrical poly (p-phenylene) systems have been developed that require only the number of hexagonal rings present in the systems. Ambient conditions density and the bulk modulus of linear poly (p-phenylenes) with two to six phenyl rings have correlated with W1/4. Cylindrical poly (p-phenylene) systems with 5 and 6 phenyl rings are found to occur as intervening strands in between two caps of fullerene cages.

Keywords: poly (p-phenylenes); distance numbers; Wiener index

Document Type: Research article

DOI: 10.1080/00268970802575564

Affiliations: 1: Ramgopal Saraf Vidyapith, Burdwan, India 2: M. U. C. Women's College, Burdwan, India 3: Department of Chemistry, The University of Burdwan, Burdwan-713104, India

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