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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| Format: | Article |
| Language: | English |
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2006
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| Online Access: | http://eprints.utm.my/63/1/Irreducible_Representations_of_Groups_of_Order_8.pdf |
| _version_ | 1825908861727408128 |
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| author | Sarmin, Nor Haniza Wan Heng, Fong |
| author_facet | Sarmin, Nor Haniza Wan Heng, Fong |
| author_sort | Sarmin, Nor Haniza |
| collection | ePrints |
| 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. |
| first_indexed | 2024-03-05T17:53:37Z |
| format | Article |
| id | utm.eprints-63 |
| institution | Universiti Teknologi Malaysia - ePrints |
| language | English |
| last_indexed | 2024-03-05T17:53:37Z |
| publishDate | 2006 |
| record_format | dspace |
| spelling | utm.eprints-632010-06-01T02:39:57Z http://eprints.utm.my/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/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 |
| spellingShingle | QA Mathematics Sarmin, Nor Haniza Wan Heng, Fong Irreducible Representations of Groups of Order 8 |
| title | 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_short | Irreducible Representations of Groups of Order 8 |
| title_sort | irreducible representations of groups of order 8 |
| topic | QA Mathematics |
| url | http://eprints.utm.my/63/1/Irreducible_Representations_of_Groups_of_Order_8.pdf |
| work_keys_str_mv | AT sarminnorhaniza irreduciblerepresentationsofgroupsoforder8 AT wanhengfong irreduciblerepresentationsofgroupsoforder8 |