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Enumeration of Stereoisomers of Chiral and Achiral Derivatives of Monocyclic Cycloalkanes Having Heteromorphous Alkyl Substituents with Distinct Length k
Laboratory of Applied Physical and Analytical Chemistry, Department of Inorganic Chemistry, Faculty of Sciences, University of Yaounde 1, Yaounde, Cameroon
Laboratory of Chemistry, Department of Chemistry, High Teacher Training College, University of Yaounde 1, Yaounde, Cameroon
Laboratory of Applied Physical and Analytical Chemistry, Department of Inorganic Chemistry, Faculty of Sciences, University of Yaounde 1, Yaounde, Cameroon
Laboratory of Applied Physical and Analytical Chemistry, Department of Inorganic Chemistry, Faculty of Sciences, University of Yaounde 1, Yaounde, Cameroon
Laboratory of Applied Physical and Analytical Chemistry, Department of Inorganic Chemistry, Faculty of Sciences, University of Yaounde 1, Yaounde, Cameroon
- 1 Laboratory of Applied Physical and Analytical Chemistry, Department of Inorganic Chemistry, Faculty of Sciences, University of Yaounde 1, Yaounde, Cameroon
- 2 Laboratory of Chemistry, Department of Chemistry, High Teacher Training College, University of Yaounde 1, Yaounde, Cameroon
Computational Chemistry·Volume 07, Issue 3·Pages 72–93·Published 3 July 2019·DOI10.4236/cc.2019.73006
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Abstract
A combinatorial method based on the determination of the averaged weight of permutations controlling the chirality/achirality fittingness of 2n substitution sites of the monocyclic cycloalkane allows to obtain generalized functional equations for direct enumeration of enantiomers pairs and achiral skeletons of any derivatives of monocyclic cycloalkanes having heteromorphic alkyl substituents with the distinct length k with the empirical formula , wherein at least two alkyl groups of the distinct size each. is the number of alkyl radicals of the system verifying the relation . The integer sequences of enantiomer pairs and achiral skeletons are given for substituted derivatives of monocyclic cycloalkane for n = 3, 4 and k = 3, 4, 5. The composite stereoisomerism of this particular compound is also highlighted.
KeywordsEnumerationStereoisomerChiralityAchiralityMonocyclic CycloalkaneOrder of Alkyl TreesPolyalkylation
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