Group Theoretical Methods and Applications to Molecules and Crystals
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 a unique approach developed by the author. This approach includes working out symmetry groups and their representations, eliminating the undue abstract nature of group theoretical methods. The author has systematized the wealth of knowledge on symmetry groups that has accumulated in the century since Fedrov discovered the 230 space groups. He reconstructs space groups, unitary as well as antiunitary, 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.
- The author is well known as the main figure in the development of this work
- This work is important in many areas of condensed matter physics and solid state/physical chemistry
Reviews & endorsements
"...beautifully elegant and forceful in pointing out connections that standard methods gloss over...essential reading for serious practitioners of group theory, who will find that their teaching of the subject is enhanced by this deeper look." Choice
Product details
September 2005Paperback
9780521020381
512 pages
244 × 170 × 26 mm
0.796kg
69 b/w illus. 41 tables
Available
Table of Contents
- Preface
- List of symbols
- 1. Linear transformations
- 2. Theory of matrix transformations
- 3. Elements of abstract group theory
- 4. Unitary and orthogonal groups
- 5. The 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. The representations of the rotation group
- 11. Single- and double-valued representations of point groups
- 12. Projective representations
- 13. 230 space groups
- 14. The representations of space groups
- 15. The unirreps of the space groups to energy bands and vibrational modes of crystals
- 16. Time reversal, antiunitary point groups and their core presentations
- 17. Antiunitary space groups and their core presentations
- Appendix. Character tables for the crystal point groups
- References.
