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.
Auflage
Sprache
Verlagsort
Verlagsgruppe
Elsevier Science & Technology
Zielgruppe
Editions-Typ
Illustrationen
Maße
Höhe: 234 mm
Breite: 156 mm
Dicke: 12 mm
Gewicht
ISBN-13
978-1-904275-47-3 (9781904275473)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
Kieran C Molloy is Professor of Inorganic Chemistry at the University of Bath.
Autor*in
University of Bath, UK
PART 1 SYMMETRY AND GROUPS
Symmetry
- Symmetry
- Point Groups
- Chirality and Polarity
- Summary
- Problems
Groups and Representations
- BGroups
- Transformation Matrices
- Representations of Groups
- Character Tables
- Symmetry Labels
- Summary
- Problems
PART 2 APPLICATION OF GROUP THEORY TO VIBRATIONAL SPECTROSCOPY
Reducible Representations
- Reducible Representations
- The Reduction Formula
- The Vibrational Spectrum of SO2
- Chi Per Unshifted Atom
- Summary
- Problems
Techniques of Vibrational Spectroscopy
- General Considerations
- Infrared Spectroscopy
- Raman Spectroscopy
- Rule of Mutual Exclusion
- Summary
- Problems
The Vibrational Spectrum of Xe(O)F4
- Stretching and Bending Modes
- The Vibrational Spectrum of Xe(O)F4
- Group Frequencies
- Problems
PART 3 APPLICATION OF GROUP THEORY TO STRUCTURE AND BONDING
Fundamentals of Molecular Orbital Theory
- Bonding in H2
- Bonding in Linear H3
- Limitations in a Qualitative Approach
- Summary
- Problems
H2O - Linear or Angular?
- Symmetry-Adapted Linear Combinations
- Central Atom Orbital Symmetries
- A Molecular Orbital Diagram for H2O
- A C2v / D_h Correlation Diagram
- Summary
- Problems
NH3 - Planar or Pyramidal?
- Linear or Triangular H3?
- A Molecular Orbital Diagram for BH3
- Other Cyclic Arrays
- Summary
- Problems
Octahedral Complexes
- SALCS for Octahedral Complexes
- d-Orbital Symmetry Labels
- Octahedral P-Block Complexes
- Octahedral Transition Metal Complexes
- _-Bonding and the Spectrochemical Series
- Summary
- Problems
Ferrocene
- Central Atom Orbital Symmetries
- SALCs for Cyclopentadienyl Anion
- Molecular Orbitals for Ferrocene
- Problems
PART 4 APPLICATION OF GROUP THEORY TO ELECTRONIC SPECTROSCOPY
Symmetry and Selection Rules
- Symmetry of Electronic States
- Selection Rules
- The Importance of Spin
- Degenerate Systems
- Epilogue - Selection Rules for Vibrational Spectroscopy
- Summary
- Problems
Terms and Configurations
- Term Symbols
- The Effect of a Ligand Field - Orbitals
- Symmetry labels for dn Configurations - An Opening
- Weak Ligand Fields, Terms and Correlation Diagrams
- Symmetry labels for dn Configurations - Conclusion
- Summary
- Problems
d-d Spectra
- The Beer-Lambert Law
- Selection Rules and Vibronic Coupling
- The Spin Selection Rule
- d-d Spectra - High-spin Octahedral Complexes
- d-d Spectra - Tetrahedral Complexes
- d-d Spectra - Low-spin Complexes
- Descending Symmetry
- Summary
- Problems
Appendix
- 1 Projection Operators
- 2 Microstates and Term Symbols
- 3 Answers to SAQs
- 4 Answers to Problems
- 5 Selected Character Tables
