Molecular Symmetry
Molecular Symmetry
ISBN: 9780470853474 March 2009 438 Pages
Description
Molecular Symmetry lays out the formal language used in the area using illustrative examples of particular molecules throughout. It then applies the ideas of symmetry to describe molecular structure, bonding in molecules and consider the implications in spectroscopy.Topics covered include:
 Symmetry elements
 Symmetry operations and products of operations
 Point groups used with molecules
 Point group representations, matrices and basis sets
 Reducible and irreducible representations
 Applications in vibrational spectroscopy
 Symmetry in chemical bonding
Molecular Symmetry is designed to introduce the subject by combining symmetry with spectroscopy in a clear and accessible manner. Each chapter ends with a summary of learning points, a selection of selftest questions, and suggestions for further reading. A set of appendices includes templates for paper models which will help students understand symmetry groups.
Molecular Symmetry is a musthave introduction to this fundamental topic for students of chemistry, and will also find a place on the bookshelves of postgraduates and researchers looking for a broad and modern introduction to the subject
Related Resources
Table of contents
1. Symmetry Elements and Operations.
1.1 Introduction.
1.2 Symmetry Elements and Operations.
1.3 Examples of the Impact of Geometric Symmetry on Chemistry.
1.4 Summary.
1.5 SelfTest Questions.
Further Reading.
2. More Symmetry Operations and Products of Operations.
2.1 Introduction.
2.2 Background to Point Groups.
2.3 Closed Groups and New Operations.
2.4 Properties of Symmetry Operations.
2.5 Chirality and Symmetry.
2.6 Summary.
2.7 Completed Multiplication Tables.
2.8 SelfTest Questions.
3. The Point Groups Used with Molecules.
3.1 Introduction.
3.2 Molecular Classification Using Symmetry Operations.
3.3 Constructing Reference Models with Idealized Symmetry.
3.4 The Nonaxial Groups: Cs,Ci,C1.
3.5 The Cyclic Groups: Cn, Sn.
3.6 Axial Groups Containing Mirror Planes: Cnh and Cnv.
3.6.1 Examples of Axial Groups Containing Mirror Planes: Cnh and Cnv.
3.7 Axial Groups with Multiple Rotation Axes: Dn, Dnd and Dnh.
3.8 Special Groups for Linear Molecules: Cìv and Dìh.
3.9 The Cubic Groups: Td and Oh.
3.10 Assigning Point Groups to Molecules.
3.11 Example Point Group Assignments.
3.12 SelfTest Questions.
4. Point Group Representations, Matrices and Basis Sets.
4.1 Introduction.
4.2 Symmetry Representations and Characters.
4.3 Multiplication Tables for Character Representations.
4.4 Matrices and Symmetry Operations.
4.5 Diagonal and OffDiagonal Matrix Elements.
4.6 The Trace of a Matrix as the Character for an Operation.
4.7 Noninteger Characters.
4.8 Reducible Representations.
4.9 Classes of Operations.
4.10 Degenerate Irreducible Representations.
4.11 The Labelling of Irreducible Representations.
4.12 Summary.
4.13 Completed Tables.
4.14 SelfTest Questions.
Further Reading.
5. Reducible and Irreducible Representations.
5.1 Introduction.
5.2 Irreducible Representations and Molecular Vibrations.
5.3 Finding Reducible Representations.
5.4 Properties of Point Groups and Irreducible Representations.
5.5 The Reduction Formula.
5.6 A Complete Set of Vibrational Modes for H2O.
5.7 Choosing the Basis Set.
5.8 The dOrbitals in Common Transition Metal Complex Geometries.
5.9 Linear Molecules: Groups of Infinite Order.
5.10 Summary.
5.11 SelfTest Questions.
6. Applications in Vibrational Spectroscopy.
6.1 Introduction.
6.2 Selection Rules.
6.3 General Approach to Analysing Vibrational Spectroscopy.
6.4 SymmetryAdapted Linear Combinations.
6.5 Normalization.
6.6 The Projector Operator Method.
6.7 Linking Results for SymmetryInequivalent Sets of Atoms.
6.8 Additional Examples.
6.9 Summary.
6.10 SelfTest Questions.
Further Reading.
7. Symmetry in Chemical Bonding.
7.1 Introduction.
7.2 Bond Energies.
7.3 The Relative Energies of HydrogenLike Atomic Orbitals.
7.4 The Molecules Formed by Other SecondRow Elements with Hydrogen.
7.5 The SecondRow Diatomic Molecules.
7.6 More Complex Polyatomic Molecules.
7.7 Metal Complexes.
7.8 Summary.
7.9 SelfTest Questions.
Further Reading.
Appendices.
Appendix 1. H2O Models for Identifying the Results of Symmetry Operation Products.
Appendix 2. Assignment of Chiral Centre Handedness using CahnIngoldPrelog Rules.
Appendix 3. Model of a Tetrahedron and the Related Cube.
Appendix 4. Model of an Octahedron.
Appendix 5. Matrices and Determinants.
Appendix 6. The Mathematical Background to Infrared Selection Rules.
Appendix 7. The FranckCondon Principle.
Appendix 8. Classical Treatment of Stokes/AntiStokes Absorption.
Appendix 9. The Atomic Orbitals of Hydrogen.
Appendix 10. The Origin of Chemical Bonding in H+2.
Appendix 11. H2O Molecular Orbital Calculation in C2v Symmetry.
Appendix 12. Character Tables.
Index.
Reviews
“A major strength of this book is its accessibility to the practically and conceptually minded chemist; the reader is led into the subject through strong visual presentation of the ideas and although the mathematics is by no means ignored, it is presented within an applied context.“ (The Higher Education Academy Physical Sciences Centre Reviews, May 2009)
What's New

Each chapter includes summary of learning points, selftest questions and suggestions for further reading

Includes templates for paper models to help understand symmetry groups

PowerPoint slides of all figures will be available on wiley.com