Computing the full nonrigid group of tetra‐tert‐butyltetrahedrane using wreath product

The concept of symmetry group of nonrigid molecules as a permutation‐inversion group was formulated first by Longuet‐Higgins, although earlier works suggested the need for such a framework. Then Balasubramanian showed that these groups could be cast into elegant algebraic structures known as the wreath product of groups. In this study, we apply a similar method to that used by Balasubramanian to find the nonrigid group (NRG) of tetra‐tert‐butyltetrahedrane. Using the group theory package GAP, we calculate the conjugacy classes and character table of this molecule. © 2005 Wiley Periodicals, Inc. Int J Quantum Chem, 2005