Group theoretical methods and applications to molecules and crystals:
This book explains the basic aspects of symmetry groups as applied to problems in physics and chemistry using an approach pioneered and developed by the author. The symmetry groups and their representations are worked out explicitly, eliminating the undue abstract nature of group theoretical methods...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1999
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| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | This book explains the basic aspects of symmetry groups as applied to problems in physics and chemistry using an approach pioneered and developed by the author. The symmetry groups and their representations are worked out explicitly, eliminating the undue abstract nature of group theoretical methods. The author has systemized the wealth of knowledge on symmetry groups that has accumulated in the century since Fedrov discovered the 230 space groups. All space groups, unitary as well as antiunitary, are reconstructed based on the algebraic defining relations of the point groups. This work will be of great interest to graduate students and professionals in solid state physics, chemistry, mathematics, geology and those who are interested in magnetic crystal structures |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xvi, 492 pages) |
| ISBN: | 9780511534867 |
| DOI: | 10.1017/CBO9780511534867 |
Internformat
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| 245 | 1 | 0 | |a Group theoretical methods and applications to molecules and crystals |c Shoon K. Kim |
| 246 | 1 | 3 | |a Group Theoretical Methods & Applications to Molecules & Crystals |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 1999 | |
| 300 | |a 1 online resource (xvi, 492 pages) | ||
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| 505 | 8 | 0 | |g 1 |t Linear transformations |g 2 |t Theory of matrix transformations |g 3 |t Elements of abstract group theory |g 4 |t Unitary and orthogonal groups |g 5 |t Point groups of finite order |g 6 |t Theory of group representations |g 7 |t Construction of symmetry-adapted linear combinations based on the correspondence theorem |g 8 |t Subduced and Induced representations |g 9 |t Elements of continuous groups |g 10 |t Representations of the rotation group |g 11 |t Single- and double-valued representations of point groups |g 12 |t Projective representations |g 13 |t 230 space groups |g 14 |t Representations of the space groups |g 15 |t Applications of unirreps of space groups to energy bands and vibrational modes of crystals |
| 520 | |a This book explains the basic aspects of symmetry groups as applied to problems in physics and chemistry using an approach pioneered and developed by the author. The symmetry groups and their representations are worked out explicitly, eliminating the undue abstract nature of group theoretical methods. The author has systemized the wealth of knowledge on symmetry groups that has accumulated in the century since Fedrov discovered the 230 space groups. All space groups, unitary as well as antiunitary, are reconstructed based on the algebraic defining relations of the point groups. This work will be of great interest to graduate students and professionals in solid state physics, chemistry, mathematics, geology and those who are interested in magnetic crystal structures | ||
| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Group theory | |
| 650 | 4 | |a Chemistry, Physical and theoretical / Mathematics | |
| 650 | 4 | |a Crystallography, Mathematical | |
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Datensatz im Suchindex
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| any_adam_object | |
| author | Kim, Shoon Kyung 1920- |
| author_facet | Kim, Shoon Kyung 1920- |
| author_role | aut |
| author_sort | Kim, Shoon Kyung 1920- |
| author_variant | s k k sk skk |
| building | Verbundindex |
| bvnumber | BV043945341 |
| classification_rvk | UQ 1350 |
| collection | ZDB-20-CBO |
| contents | Linear transformations Theory of matrix transformations Elements of abstract group theory Unitary and orthogonal groups Point groups of finite order Theory of group representations Construction of symmetry-adapted linear combinations based on the correspondence theorem Subduced and Induced representations Elements of continuous groups Representations of the rotation group Single- and double-valued representations of point groups Projective representations 230 space groups Representations of the space groups Applications of unirreps of space groups to energy bands and vibrational modes of crystals |
| ctrlnum | (ZDB-20-CBO)CR9780511534867 (OCoLC)992828077 (DE-599)BVBBV043945341 |
| dewey-full | 512/.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.2 |
| dewey-search | 512/.2 |
| dewey-sort | 3512 12 |
| dewey-tens | 510 - Mathematics |
| discipline | Physik Mathematik |
| doi_str_mv | 10.1017/CBO9780511534867 |
| format | Electronic eBook |
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| id | DE-604.BV043945341 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:23Z |
| institution | BVB |
| isbn | 9780511534867 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029354311 |
| oclc_num | 992828077 |
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| owner_facet | DE-12 DE-92 |
| physical | 1 online resource (xvi, 492 pages) |
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| publishDate | 1999 |
| publishDateSearch | 1999 |
| publishDateSort | 1999 |
| publisher | Cambridge University Press |
| record_format | marc |
| spelling | Kim, Shoon Kyung 1920- Verfasser aut Group theoretical methods and applications to molecules and crystals Shoon K. Kim Group Theoretical Methods & Applications to Molecules & Crystals Cambridge Cambridge University Press 1999 1 online resource (xvi, 492 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) 1 Linear transformations 2 Theory of matrix transformations 3 Elements of abstract group theory 4 Unitary and orthogonal groups 5 Point groups of finite order 6 Theory of group representations 7 Construction of symmetry-adapted linear combinations based on the correspondence theorem 8 Subduced and Induced representations 9 Elements of continuous groups 10 Representations of the rotation group 11 Single- and double-valued representations of point groups 12 Projective representations 13 230 space groups 14 Representations of the space groups 15 Applications of unirreps of space groups to energy bands and vibrational modes of crystals This book explains the basic aspects of symmetry groups as applied to problems in physics and chemistry using an approach pioneered and developed by the author. The symmetry groups and their representations are worked out explicitly, eliminating the undue abstract nature of group theoretical methods. The author has systemized the wealth of knowledge on symmetry groups that has accumulated in the century since Fedrov discovered the 230 space groups. All space groups, unitary as well as antiunitary, are reconstructed based on the algebraic defining relations of the point groups. This work will be of great interest to graduate students and professionals in solid state physics, chemistry, mathematics, geology and those who are interested in magnetic crystal structures Mathematik Group theory Chemistry, Physical and theoretical / Mathematics Crystallography, Mathematical Kristallmathematik (DE-588)4125615-3 gnd rswk-swf Gruppentheorie (DE-588)4072157-7 gnd rswk-swf Kristallmathematik (DE-588)4125615-3 s Gruppentheorie (DE-588)4072157-7 s 1\p DE-604 Erscheint auch als Druckausgabe 978-0-521-02038-1 Erscheint auch als Druckausgabe 978-0-521-64062-6 https://doi.org/10.1017/CBO9780511534867 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Kim, Shoon Kyung 1920- Group theoretical methods and applications to molecules and crystals Linear transformations Theory of matrix transformations Elements of abstract group theory Unitary and orthogonal groups Point groups of finite order Theory of group representations Construction of symmetry-adapted linear combinations based on the correspondence theorem Subduced and Induced representations Elements of continuous groups Representations of the rotation group Single- and double-valued representations of point groups Projective representations 230 space groups Representations of the space groups Applications of unirreps of space groups to energy bands and vibrational modes of crystals Mathematik Group theory Chemistry, Physical and theoretical / Mathematics Crystallography, Mathematical Kristallmathematik (DE-588)4125615-3 gnd Gruppentheorie (DE-588)4072157-7 gnd |
| subject_GND | (DE-588)4125615-3 (DE-588)4072157-7 |
| title | Group theoretical methods and applications to molecules and crystals |
| title_alt | Group Theoretical Methods & Applications to Molecules & Crystals Linear transformations Theory of matrix transformations Elements of abstract group theory Unitary and orthogonal groups Point groups of finite order Theory of group representations Construction of symmetry-adapted linear combinations based on the correspondence theorem Subduced and Induced representations Elements of continuous groups Representations of the rotation group Single- and double-valued representations of point groups Projective representations 230 space groups Representations of the space groups Applications of unirreps of space groups to energy bands and vibrational modes of crystals |
| title_auth | Group theoretical methods and applications to molecules and crystals |
| title_exact_search | Group theoretical methods and applications to molecules and crystals |
| title_full | Group theoretical methods and applications to molecules and crystals Shoon K. Kim |
| title_fullStr | Group theoretical methods and applications to molecules and crystals Shoon K. Kim |
| title_full_unstemmed | Group theoretical methods and applications to molecules and crystals Shoon K. Kim |
| title_short | Group theoretical methods and applications to molecules and crystals |
| title_sort | group theoretical methods and applications to molecules and crystals |
| topic | Mathematik Group theory Chemistry, Physical and theoretical / Mathematics Crystallography, Mathematical Kristallmathematik (DE-588)4125615-3 gnd Gruppentheorie (DE-588)4072157-7 gnd |
| topic_facet | Mathematik Group theory Chemistry, Physical and theoretical / Mathematics Crystallography, Mathematical Kristallmathematik Gruppentheorie |
| url | https://doi.org/10.1017/CBO9780511534867 |
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