TITLE:
Enumeration of Stereoisomers of Chiral and Achiral Derivatives of Monocyclic Cycloalkanes Having Heteromorphous Alkyl Substituents with Distinct Length k
AUTHORS:
Alphonse Emadak, Ibrahim Mbouombouo Ndassa, Beauregard Thomas Makon, Issofa Patouossa, Robert Martin Nemba
KEYWORDS:
Enumeration, Stereoisomer, Chirality, Achirality, Monocyclic Cycloalkane, Order of Alkyl Trees, Polyalkylation
JOURNAL NAME:
Computational Chemistry,
Vol.7 No.3,
July
31,
2019
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 groupsof the
distinct size each. is the number
of alkyl radicals of the systemverifying 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.