Nonrigid Group Theory of Water Clusters (Cyclic Forms): (H2O)i for 2<=i<=6
Author(s):
Abstract:
The character table of the fully nonrigid water cluster (cyclic forms), (H_{2}O){_i}, with C{_ih} symmetry derived for the first time, for 2<=i <=6. The group of all feasible permutations is the wreath product of groups S{_i}[S{_2}] which consists of i!2i operations for i = 2,. .., 6 divided into (w.r.t) 5, 10, 20, 36, 65 conjugacy classes and 5, 10, 20, 36, 65 irreducible representations respectively. We compute the full character table of (H{_2}O){_2}, (H{_2}O){_3}, (H{_2}O){_4}, (H{_2}O){_5} and (H{_2}O){_6}.
Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:3 Issue: 1, May 2008
Page:
13
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