Molecular Symmetry and Group Theory

A Thorough But Understandable Introduction To Molecular Symmetry And Group Theory As Applied To Chemical Problems! In a friendly, easy-to-understand style, this new book invites the reader to discover by example the power of symmetry arguments for understanding theoretical problems in chemistry. The author shows the evolution of ideas and demonstrates the centrality of symmetry and group theory to a complete understanding of the theory of structure and bonding. Plus, the book offers explicit demonstrations of the most effective techniques for applying group theory to chemical problems, including the tabular method of reducing representations and the use of group-subgroup relationships for dealing with infinite-order groups. Also Available From Wiley: * Concepts and Models of Inorganic Chemistry, 3/E, by Bodie E. Douglas, Darl H. McDaniel, and John J. Alexander 0-471-62978-2 * Basic Inorganic Chemistry, 3/E, by F. Albert Cotton, Paul Gaus, and Geoffrey Wilkinson 0-471-50532-3

Robert L. Carter is the author of Molecular Symmetry and Group Theory, published by Wiley.

CHAPTER 1 Fundamental Concepts

1

(39)

1.1 Symmetry Operations and Elements

1

(11)

1.2 Defining the Coordinate System

12

(2)

1.3 Combining Symmetry Operations

14

(4)

1.4 Symmetry Point Groups

18

(3)

1.5 Point Groups of Molecules

21

(7)

1.6 Systematic Point Group Classification

28

(5)

1.7 Optical Activity and Symmetry

33

(2)

Problems

35

(5)

CHAPTER 2 Representations of Groups

40

(26)

2.1 Irreducible Representations

40

(3)

2.2 Unit Vector Transformations

43

(3)

2.3 Reducible Representations

46

(6)

2.4 More Complex Groups and Standard Character Tables

52

(9)

2.5 General Relationships of Irreducible Representations

61

(3)

Problems

64

(2)

CHAPTER 3 Techniques and Relationships for Chemical Applications

66

(22)

3.1 Systematic Reduction of Reducible Representations

66

(4)

3.2 Handling Representations with Imaginary Characters

70

(3)

3.3 Group-Subgroup Relationships: Descent and Ascent in Symmetry

73

(6)

3.4 Reducing Representations of Groups with Infinite Order

79

(2)

3.5 More About Direct Products

81

(4)

Problems

84

(4)

CHAPTER 4 Symmetry and Chemical Bonding

88

(50)

4.1 Orbital Symmetries and Overlap

88

(6)

4.2 Valence Bond Theory and Hybrid Orbitals

94

(10)

4.3 Localized and Delocalized Molecular Orbitals

104

(13)

4.4 MX(n) Molecules with Pi-Bonding

117

(9)

4.5 Pi-Bonding in Aromatic Ring Systems

126

(6)

Problems

132

(6)

CHAPTER 5 Equations for Wave Functions

138

(26)

5.1 Formulating SALCs with Projection Operators

138

(11)

5.2 SALCs of Pi Systems

149

(4)

5.3 Formulating Hybrid Orbitals

153

(4)

5.4 Systems with Nonequivalent Positions

157

(5)

Problems

162

(2)

CHAPTER 6 Vibrational Spectroscopy

164

(37)

6.1 Vibrational Modes and Their Symmetries

165

(15)

6.2 Symmetry-Based Selection Rules and Their General Consequences

180

(5)

6.3 Spectroscopic Activities and Structures of Nonlinear Molecules

185

(5)

6.4 Linear Molecules

190

(2)

6.5 Overtones, Combinations, and Other Complications

192

(6)

Problems

198

(3)

CHAPTER 7 Transition Metal Complexes

201

(60)

7.1 Crystal Field Theory

201

(9)

7.2 Jahn-Teller Distortions and Other Crystal Fields

210

(4)

7.3 Molecular Orbital Approach to Bonding in Complexes

214

(13)

7.4 Terms of Free Ions with d(n) Configurations

227

(6)

7.5 Splitting of Terms

233

(15)

7.6 Electronic Spectra of Transition Metal Complexes

248

(8)

Problems

256

(5)

APPENDIX A Point Group Character Tables

261

(11)

APPENDIX B Correlation Tables

272

(12)

APPENDIX C Normal Modes of Some Common Structures

284

(5)

APPENDIX D Tanabe and Sugano Diagrams

289

(4)

INDEX

293

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Molecular Symmetry and Group Theory

Summary

Author Biography

Table of Contents

Supplemental Materials