Irreducible Representations of Groups of Order 8

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...

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Main Authors: Sarmin, Nor Haniza, Wan Heng, Fong
格式: Article
語言:English
出版: 2006
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在線閱讀:http://eprints.utm.my/id/eprint/63/1/Irreducible_Representations_of_Groups_of_Order_8.pdf
http://eprints.utm.my/id/eprint/63/
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總結: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.