On certain organic compounds with one mono-substitution and at least three di-substitution homogeneous derivatives

Details On certain organic compounds with one mono-substitution and at least three di-substitution homogeneous derivatives On certain organic compounds with one mono-substitution and at least three di-substitution homogeneous derivatives

2002-12-30

arxiv.org/abs/math/0212374v1

Mathematics

Combinatorics

13 pages

Scientific paper

In this paper parent substances with molecules which can be divided into a skeleton and six univalent substituents, and that have the properties mentioned in the title, are considered. Two instances are the molecules of benzene and cyclopropane. The Lunn-Senior's symmetry groups of substitution isomerism of these compounds are described and upper bounds of the numbers of their di-substitution and tri-substitution homogeneous derivatives are found. Lists of the possible simple substitution reactions among di-substitution homogeneous derivatives, on one hand, and di-substitution heterogeneous, and tri-substitution homogeneous derivatives, on the other, are given. These substitution reactions allow for some derivatives to be identified with their structural formulae.

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