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Irreducible Representations of Groups of Order 8

Sarmin, Nor Haniza and Wan Heng, Fong (2006) Irreducible Representations of Groups of Order 8. Matematika, 22 (1). pp. 1-16. ISSN 0127 8274

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Abstract

Irreducible representations of a group provide the ways for labelling or- bitals, determining molecular orbitals formation and determining vibrational motions for a molecule. A set of irreducible representations represents the ways a particular bond, atom or sets of atoms may respond to a given set of symmetry operations. In this paper, the irreducible representations of all groups of order 8, namely D4, Q, C8, C2£C4 and C2£C2£C2 are obtained using Burnside method and Great Orthogonality Theorem method. Then, comparisons of the two methods are made.

Item Type:Article
Uncontrolled Keywords:Irreducible representation, group, Burnside method, Great Orthogonality Theorem method.
Subjects:Q Science > QA Mathematics
Divisions:Science
ID Code:63
Deposited By: En. Mohd Fuad Mohd Yusof
Deposited On:31 Jan 2007 03:11
Last Modified:01 Jun 2010 02:39

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