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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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 |
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QA Mathematics Sarmin, Nor Haniza Wan Heng, Fong Irreducible Representations of Groups of Order 8 |
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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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