Premium
Nonrigid group theory for 1,3,5‐trimethylbenzene
Author(s) -
Darafsheh Mohammad Reza,
Darafsheh Arash,
Ashrafi Ali Reza
Publication year - 2006
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.21086
Subject(s) - character table , wreath product , group (periodic table) , conjugacy class , order (exchange) , combinatorics , character (mathematics) , symmetric group , mathematics , cyclic group , group theory , product (mathematics) , pure mathematics , physics , geometry , quantum mechanics , abelian group , finance , economics
Abstract Using nonrigid group theory, the full nonrigid (f‐NRG) group of 1,3,5‐trimethylbenzene (TMB) is shown to be isomorphic to the group S 3 [C 3 ] = C 3 S 3 of order 162, where denotes the wreath product of groups, and C 3 is the cyclic group of order three and S 3 is the symmetric group of order six on three letters. This group has 22 conjugacy classes and irreducible representations. The character table of the full nonrigid TMB is then derived for the first time. © 2006 Wiley Periodicals, Inc. Int J Quantum Chem, 2007