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
Format: Article
Language:English
Published: 2006
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Online Access:http://eprints.utm.my/id/eprint/63/1/Irreducible_Representations_of_Groups_of_Order_8.pdf
http://eprints.utm.my/id/eprint/63/
http://161.139.72.2/oldfs/images/stories/matematika/20062211.pdf
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Institution: Universiti Teknologi Malaysia
Language: English
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spelling my.utm.632010-06-01T02:39:57Z http://eprints.utm.my/id/eprint/63/ Irreducible Representations of Groups of Order 8 Sarmin, Nor Haniza Wan Heng, Fong QA Mathematics 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. 2006-06 Article NonPeerReviewed application/pdf en http://eprints.utm.my/id/eprint/63/1/Irreducible_Representations_of_Groups_of_Order_8.pdf Sarmin, Nor Haniza and Wan Heng, Fong (2006) Irreducible Representations of Groups of Order 8. Matematika, 22 (1). pp. 1-16. ISSN 0127 8274 http://161.139.72.2/oldfs/images/stories/matematika/20062211.pdf
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
language English
topic QA Mathematics
spellingShingle QA Mathematics
Sarmin, Nor Haniza
Wan Heng, Fong
Irreducible Representations of Groups of Order 8
description 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.
format Article
author Sarmin, Nor Haniza
Wan Heng, Fong
author_facet Sarmin, Nor Haniza
Wan Heng, Fong
author_sort Sarmin, Nor Haniza
title Irreducible Representations of Groups of Order 8
title_short Irreducible Representations of Groups of Order 8
title_full Irreducible Representations of Groups of Order 8
title_fullStr Irreducible Representations of Groups of Order 8
title_full_unstemmed Irreducible Representations of Groups of Order 8
title_sort irreducible representations of groups of order 8
publishDate 2006
url http://eprints.utm.my/id/eprint/63/1/Irreducible_Representations_of_Groups_of_Order_8.pdf
http://eprints.utm.my/id/eprint/63/
http://161.139.72.2/oldfs/images/stories/matematika/20062211.pdf
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