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Original scientific paper

Isomers of Polyenes Attached to Benzene

B. N. Cyvin ; Department of Physical Chemistry, The University of Trondheim, N-7034 Trondheim-NTH, Norway
E. Brendsdal ; Department of Physical Chemistry, The University of Trondheim, N-7034 Trondheim-NTH, Norway
J. Brunvoll ; Department of Physical Chemistry, The University of Trondheim, N-7034 Trondheim-NTH, Norway
S. J. Cyvin ; Department of Physical Chemistry, The University of Trondheim, N-7034 Trondheim-NTH, Norway


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Abstract

A polyene graph is a tree that can be embedded in a hexagonal lattice.
Systems of polyene graphs attached to one hexagon are considered. Overlapping edges and/or vertices (geometrically nonplanar systems) are allowed. A complete mathematical solution is presented in terms of a generating function for the numbers of isomers of the systems in question. The corresponding geometrically planar systems, referred to as styrenoids, are enumerated by computer programming. Finally, in the Appendix, the generating function is given for the numbers of free polyene graphs.

Keywords

Hrčak ID:

176546

URI

https://hrcak.srce.hr/176546

Publication date:

1.2.1995.

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