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The basics of group theory and its applications to themes such as the analysis of vibrational spectra and molecular orbital theory are essential knowledge for the undergraduate student of inorganic chemistry. The second edition of Group Theory for Chemists uses diagrams and problem-solving to help students test and improve their understanding, including a new section on the application of group theory to electronic spectroscopy.
Part one covers the essentials of symmetry and group theory, including symmetry, point groups and representations. Part two deals with the application of group theory to vibrational spectroscopy, with chapters covering topics such as reducible representations and techniques of vibrational spectroscopy. In part three, group theory as applied to structure and bonding is considered, with chapters on the fundamentals of molecular orbital theory, octahedral complexes and ferrocene among other topics. Additionally in the second edition, part four focuses on the application of group theory to electronic spectroscopy, covering symmetry and selection rules, terms and configurations and d-d spectra.
Drawing on the author’s extensive experience teaching group theory to undergraduates, Group Theory for Chemists provides a focused and comprehensive study of group theory and its applications which is invaluable to the student of chemistry as well as those in related fields seeking an introduction to the topic.
- Provides a focused and comprehensive study of group theory and its applications, an invaluable resource to students of chemistry as well as those in related fields seeking an introduction to the topic
- Presents diagrams and problem-solving exercises to help students improve their understanding, including a new section on the application of group theory to electronic spectroscopy
- Reviews the essentials of symmetry and group theory, including symmetry, point groups and representations and the application of group theory to vibrational spectroscopy
Professionals and academics
Part I: Symmetry and Groups
Chapter 1: Symmetry
1.2 POINT GROUPS
1.3 CHIRALITY AND POLARITY
Chapter 2: Groups and Representations
2.2 TRANSFORMATION MATRICES
2.3 REPRESENTATIONS OF GROUPS
2.4 CHARACTER TABLES
2.5 SYMMETRY LABELS
Part II: Application of Group Theory to Vibrational Spectroscopy
Chapter 3: Reducible Representations
3.1 REDUCIBLE REPRESENTATIONS
3.2 THE REDUCTION FORMULA
3.3 THE VIBRATIONAL SPECTRUM OF SO2
3.4 CHI PER UNSHIFTED ATOM
Chapter 4: Techniques of Vibrational Spectroscopy
4.1 GENERAL CONSIDERATIONS
4.2 INFRARED SPECTROSCOPY
4.3 RAMAN SPECTROSCOPY
4.4 RULE OF MUTUAL EXCLUSION
Chapter 5: The Vibrational Spectrum of Xe(O)F4
5.1 STRETCHING AND BENDING MODES
5.2 THE VIBRATIONAL SPECTRUM OF Xe(O)F4
5.3 GROUP FREQUENCIES
Part III: Application of Group Theory to Structure and Bonding
Chapter 6: Fundamentals of Molecular Orbital Theory
6.1 BONDING IN H2
6.2 BONDING IN LINEAR H3
6.3 LIMITATIONS IN A QUALITATIVE APPROACH
Chapter 7: H2O â€“ Linear or Angular ?
7.1 SYMMETRY-ADAPTED LINEAR COMBINATIONS
7.2 CENTRAL ATOM ORBITAL SYMMETRIES
7.3 A MOLECULAR ORBITAL DIAGRAM FOR H2O
7.4 A C2v/D∞h MO CORRELATION DIAGRAM
Chapter 8: NH3 â€“ Planar or Pyramidal ?
8.1 LINEAR OR TRIANGULAR H3 ?
8.2 A MOLECULAR ORBITAL DIAGRAM FOR BH3
8.3 OTHER CYCLIC ARRAYS
Chapter 9: Octahedral Complexes
9.1 SALCS FOR OCTAHEDRAL COMPLEXES
9.2 d-ORBITAL SYMMETRY LABELS
9.3 OCTAHEDRAL P-BLOCK COMPLEXES
9.4 OCTAHEDRAL TRANSITION METAL COMPLEXES
9.5 π-BONDING AND THE SPECTROCHEMICAL SERIES
Chapter 10: Ferrocene
10.1 CENTRAL ATOM ORBITAL SYMMETRIES
10.2 SALCS FOR CYCLOPENTADIENYL ANION
10.3 MOLECULAR ORBITALS FOR FERROCENE
Part IV: Application of Group Theory to Electronic Spectroscopy
Chapter 11: Symmetry and Selection Rules
11.1 SYMMETRY OF ELECTRONIC STATES
11.2 SELECTION RULES
11.3 THE IMPORTANCE OF SPIN
11.4 DEGENERATE SYSTEMS
11.5 EPILOGUE – SELECTION RULES FOR VIBRATIONAL SPECTROSCOPY
Chapter 12: Terms and Configurations
12.1 TERM SYMBOLS
12.2 THE EFFECT OF A LIGAND FIELD – ORBITALS
12.3 SYMMETRY LABELS FOR dn CONFIGURATIONS – AN OPENING
Table 12.5 Direct product table for octahedral symmetry
12.4 WEAK LIGAND FIELDS, TERMS AND CORRELATION DIAGRAMS
12.5 SYMMETRY LABELS FOR dn CONFIGURATIONS – CONCLUSION
Chapter 13: d-d Spectra
13.1 THE BEER-LAMBERT LAW
13.2 SELECTION RULES AND VIBRONIC COUPLING
13.3 THE SPIN SELECTION RULE
13.4 d-d SPECTRA – HIGH-SPIN OCTAHEDRAL COMPLEXES
13.5 d-d SPECTRA – TETRAHEDRAL COMPLEXES
13.6 d-d SPECTRA – LOW-SPIN COMPLEXES
13.7 DESCENDING SYMMETRY
Appendix 1: Projection Operators
APPENDIX 2: Microstates and Term Symbols
Appendix 3: Answers to SAQs
APPENDIX 4: Answers to Problems
Appendix 5: Selected Character Tables
- No. of pages:
- © Woodhead Publishing 2010
- 21st December 2010
- Woodhead Publishing
- eBook ISBN:
- Paperback ISBN:
Kieran C. Molloy is Professor of Inorganic Chemistry at the University of Bath.
University of Bath, UK
"...this book provides a structured approach with regular problem-solving to assess understanding along the way. Developed from a highly successful lecture course, the text contains some interesting examples and tricks to help students cut through the mathematical barriers to understanding... This approach provides an effective self-learning tool for students., Education in Chemistry. The author does a wonderful job of introducing group theory to those who have had no exposure to this topic." --Choice
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