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

2002/12/30 by Valentin Vankov Iliev, Iliev, Valentin Vankov
Mathematics · Physics and Astronomy · #05E25 #20B10 #92E10 #Chemical Physics (physics.chem-ph) #Combinatorics (math.CO) #FOS: Mathematics #FOS: Physical sciences #math.CO #msc:05E25 #msc:20B10 #msc:92E10 #physics.chem-ph

paper · pdf · doi:10.48550/arxiv.math/0212374

13 pages

arxiv created 2002/12/30 · arxiv updated 2009/11/30

Abstract

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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