Group theory for tetramethylethylene

Mohammad Reza Darafsheh, Ali Reza Ashrafi, Arash Darafsheh

Research output: Contribution to journalArticlepeer-review

16 Scopus citations


The non-rigid molecule group theory in which the dynamical symmetry operations are defined as physical operations is applied to determine the character table for the full non-rigid molecule group (f-NRG) of tetramethylethylene. We show that the f-NRG of this molecule is a group of order 324, the structure of which is formed as the wreath product Z3 Sine wave(Z2xZ2), in which Z3 is the cyclic group of order 3 and Z2 denotes the cyclic group of order two. Using the group theory package GAP, we calculate the conjugacy classes and character table of this molecule.

Original languageEnglish
Pages (from-to)282-287
Number of pages6
JournalActa Chimica Slovenica
Issue number3
StatePublished - 2005


  • Character table
  • Non-rigid molecule group
  • Tetramethylethylene
  • Wreath product


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