Determination of the Conjugacy Classes and Character Table of the Full Non-Rigid Group of Hexachlorocyclopropane Chemical Compound via Wreath Product of Pair of Permutation Groups

Publication Date: 12/02/2024

DOI: 10.52589/AJMSS-T9JSEVAG


Author(s): Ben O. Johnson, Auta T. Jonathan.

Volume/Issue: Volume 7 , Issue 1 (2024)



Abstract:

The use of full non-rigid (f.NRG) molecules group theory to study the internal dynamics of molecular structures of chemical compounds is trending in the research space. In this paper, we use computational method to compute the group elements and group table of the Hexachlorocyclopropane molecular (algebraic) structure and thereafter determine the order and conjugacy classes of the group and finally the corresponding symmetry for each permutation group. We considered the point group of the compound which turns out to be isomorphic to the Wreath Products C3wrC2, where Cn denotes a cyclic group of order n. We found that the group has order 18 and 9 conjugacy classes. Investigating the solubility of the components of Hexachlorocyclopropane chemical compound can be considered for further study.


Keywords:

Non-Rigid Group, Hexachlorocyclopropane, Wreath Product, Character Table, Conjugacy Classes, Permutation Group


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