Nonrigid group theory for 1,3,5-trimethylbenzene

Mohammad Reza Darafsheh, Arash Darafsheh, Ali Reza Ashrafi

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


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 languageEnglish
Pages (from-to)340-344
Number of pages5
JournalInternational Journal of Quantum Chemistry
Issue number2
StatePublished - Feb 2007


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


Dive into the research topics of 'Nonrigid group theory for 1,3,5-trimethylbenzene'. Together they form a unique fingerprint.

Cite this