The full non-rigid group of hexamethylbenzene using wreath product

Mohammad Reza Darafsheh; Ali Reza Ashrafi; Arash Darafsheh

doi:10.1016/j.cplett.2006.02.008

The full non-rigid group of hexamethylbenzene using wreath product

Mohammad Reza Darafsheh
, Ali Reza Ashrafi
, Arash Darafsheh

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

14 Scopus citations

Abstract

The character table of the non-rigid hexamethylbenzene, C₆(CH₃)₆, is derived for the first time. The group of all feasible permutations is the wreath product group D₆[Z₃] = Z₃ ∼ D₆ and it consists of 8748 operations divided into 174 conjugacy classes and irreducible representations. We have shown that the full character table can be constructed using elegant matrix type generator algebra. The group can also be useful for weakly-bound (NH₃)₆.

Original language	English
Pages (from-to)	566-570
Number of pages	5
Journal	Chemical Physics Letters
Volume	421
Issue number	4-6
DOIs	https://doi.org/10.1016/j.cplett.2006.02.008
State	Published - Apr 15 2006

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10.1016/j.cplett.2006.02.008

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title = "The full non-rigid group of hexamethylbenzene using wreath product",

abstract = "The character table of the non-rigid hexamethylbenzene, C6(CH3)6, is derived for the first time. The group of all feasible permutations is the wreath product group D6[Z3] = Z3 ∼ D6 and it consists of 8748 operations divided into 174 conjugacy classes and irreducible representations. We have shown that the full character table can be constructed using elegant matrix type generator algebra. The group can also be useful for weakly-bound (NH3)6.",

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AU - Darafsheh, Mohammad Reza

AU - Ashrafi, Ali Reza

AU - Darafsheh, Arash

PY - 2006/4/15

Y1 - 2006/4/15

N2 - The character table of the non-rigid hexamethylbenzene, C6(CH3)6, is derived for the first time. The group of all feasible permutations is the wreath product group D6[Z3] = Z3 ∼ D6 and it consists of 8748 operations divided into 174 conjugacy classes and irreducible representations. We have shown that the full character table can be constructed using elegant matrix type generator algebra. The group can also be useful for weakly-bound (NH3)6.

AB - The character table of the non-rigid hexamethylbenzene, C6(CH3)6, is derived for the first time. The group of all feasible permutations is the wreath product group D6[Z3] = Z3 ∼ D6 and it consists of 8748 operations divided into 174 conjugacy classes and irreducible representations. We have shown that the full character table can be constructed using elegant matrix type generator algebra. The group can also be useful for weakly-bound (NH3)6.

UR - https://www.scopus.com/pages/publications/33645890275

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DO - 10.1016/j.cplett.2006.02.008

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VL - 421

SP - 566

EP - 570

JO - Chemical Physics Letters

JF - Chemical Physics Letters

IS - 4-6

ER -

The full non-rigid group of hexamethylbenzene using wreath product

Abstract

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