NONRIGID GROUP THEORY OF WATER CLUSTERS ( CYCLIC FORMS): (H2O)I 
FOR 2£I£6

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DABIRIAN M.; IRANMANESH A.

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ISSN: 2588-4824

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Journal: Iranian Journal of Mathematical Sciences and Informatics Year:2008 | Volume:3 | Issue:1 Page(s): 13-30

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Title

NONRIGID GROUP THEORY OF WATER CLUSTERS ( CYCLIC FORMS): (H2O)I FOR 2£I£6

Author(s)

DABIRIAN M. | IRANMANESH A. | Issue Writer Certificate

Keywords

NONRIGID GROUP THEORY

SYMMETRY

WREATH PRODUCT

CONJUGACY CLASSES

CHARACTER TABLE

WATER CLUSTER

Abstract

The CHARACTER TABLE of the fully nonrigid WATER CLUSTER (cyclic forms), (H2O)i, with Cih SYMMETRY derived for the first time, for 2£i£6. The group of all feasible permutations is the WREATH PRODUCT of groups Si[S2] which consists of i!2i operations for i!2i, ..., 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 (H2O)2, (H2O)3, (H2O )4, (H2O)5 and (H2O)6.

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APA: Copy

DABIRIAN, M., & IRANMANESH, A.. (2008). NONRIGID GROUP THEORY OF WATER CLUSTERS ( CYCLIC FORMS): (H₂O)_I FOR 2£I£6. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), 3(1), 13-30. SID. https://sid.ir/paper/310265/en

Vancouver: Copy

DABIRIAN M., IRANMANESH A.. NONRIGID GROUP THEORY OF WATER CLUSTERS ( CYCLIC FORMS): (H₂O)_I FOR 2£I£6. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI)[Internet]. 2008;3(1):13-30. Available from: https://sid.ir/paper/310265/en

IEEE: Copy

M. DABIRIAN, and A. IRANMANESH, “NONRIGID GROUP THEORY OF WATER CLUSTERS ( CYCLIC FORMS): (H₂O)_I FOR 2£I£6,” IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), vol. 3, no. 1, pp. 13–30, 2008, [Online]. Available: https://sid.ir/paper/310265/en

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