Computing the Full Non-Rigid Group of Trimethylborane and Cyclohaxane Using Wreath Product

Enoch Suleiman,M S Audu

doi:10.4236/ajcm.2020.101002

Abstract

This paper computes the group and character table of Trimethylborane and Cyclohaxane. Results show that the groups are isomorphic to the wreath products C3wrC2 and C2wrC6 with orders 81 and 384 and with 17 and 28 conjugacy classes respectively, where Cn denotes a cyclic group of order n.

Highlights

Darafsher et al [5] studied the 2,3-dimethylbutane and found the structure of the full non-rigid group of this molecule to be isomorphic to the semidirect product of four copies of the cyclic group 3 by the cyclic group 2, that is, ( 3 × 3 × 3 × 3 ) 2, and the complex character table of the group was computed by the package GAP
Moghadam et al [8] studied the symmetry of non-rigid Cis- and trans-dimethyl diborane, trimethyl diborane and tetramethyl diborane with different point groups and the conjugacy classes and the irreducible character tables of the molecules are calculated
The character table which is being needed for the classification of wave functions, determination of selection rules, etc. in which were computed for Trimethylborane and Cyclohaxanethe groups are found to be isomorphic to the wreath products C3wrC2 and C2wrC6 with orders 81 and 384 and with 17 and 28 conjugacy classes respectively

Summary

Introduction

Darafsher et al [5] studied the 2,3-dimethylbutane and found the structure of the full non-rigid group of this molecule to be isomorphic to the semidirect product of four copies of the cyclic group 3 by the cyclic group 2 , that is,. He further reviewed the formulation of symmetry groups of non-rigid molecules as generalized wreath product groups.

Results

Conclusion