Nonrigid group theory for 1,3,5-trimethylbenzene

Mohammad Reza Darafsheh; Arash Darafsheh; Ali Reza Ashrafi

doi:10.1002/qua.21086

Nonrigid group theory for 1,3,5-trimethylbenzene

Mohammad Reza Darafsheh, Arash Darafsheh, Ali Reza Ashrafi

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

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[C₃] = C₃ ∼ S₃ of order 162, where ∼ denotes the wreath product of groups, and C₃ is the cyclic group of order three and S₃ 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.

Original language	English
Pages (from-to)	340-344
Number of pages	5
Journal	International Journal of Quantum Chemistry
Volume	107
Issue number	2
DOIs	https://doi.org/10.1002/qua.21086
State	Published - Feb 2007

Keywords

1,3,5-trimethylbenzene
Character table
Full nonrigid group

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10.1002/qua.21086

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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[C3] = C3 ∼ S3 of order 162, where ∼ denotes the wreath product of groups, and C3 is the cyclic group of order three and S3 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.",

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AU - Darafsheh, Arash

AU - Ashrafi, Ali Reza

PY - 2007/2

Y1 - 2007/2

N2 - 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[C3] = C3 ∼ S3 of order 162, where ∼ denotes the wreath product of groups, and C3 is the cyclic group of order three and S3 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.

AB - 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[C3] = C3 ∼ S3 of order 162, where ∼ denotes the wreath product of groups, and C3 is the cyclic group of order three and S3 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.

KW - 1,3,5-trimethylbenzene

KW - Character table

KW - Full nonrigid group

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JO - International Journal of Quantum Chemistry

JF - International Journal of Quantum Chemistry

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ER -

Nonrigid group theory for 1,3,5-trimethylbenzene

Abstract

Keywords

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