Symmetry and Structure: (Readable Group Theory for Chemists), 2nd Edition,9780471954767

Symmetry and Structure: (Readable Group Theory for Chemists), 2nd Edition

by
Edition: 2nd
ISBN13: 9780471954767
ISBN10: 0471954764
Format: Paperback
Pub. Date: 1995-06-01
Publisher(s): WILEY
List Price: $110.00

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Summary

This revised and updated edition emphasizes the physical concepts and applications of group theory rather than complex mathematics. User-friendly, it offers a simple approach to space groups, answering many frequently asked questions in detail. Features a new chapter on solid state, scores of diagrams and problems and more questions and answers. Mathematical proofs are included in the appendices.

Table of Contents

Preface to the First Edition xi(2)
Preface to the Second Edition xiii
Chapter 1 Theories in Conflict
1(9)
1.1 Introduction
1(1)
1.2 The Ammonia Molecule
1(9)
1.2.1 The atomic orbital model
2(1)
1.2.2 The hybrid orbital model
3(1)
1.2.3 The electron-pair-repulsion model
4(1)
1.2.4 The electron-spin-repulsion model
5(1)
1.2.5 Accurate calculations
6(4)
Chapter 2 The Symmetry of the Water Molecule
10(25)
2.1 Symmetry Operations and Symmetry Elements
10(7)
2.2 Multipliers Associated with Symmetry Operations
17(8)
2.3 Group Multiplication Tables
25(4)
2.4 Character Tables
29(4)
2.5 Summary
33(2)
Chapter 3 The Electronic Structure of the Water Molecule
35(28)
3.1 The Orthonormal Properties of Irreducible Representations
35(2)
3.2 The Transformation Properties of Atomic Orbitals in the Water Molecule
37(3)
3.3 A Reducible Representation
40(3)
3.4 Symmetry-adapted Combinations
43(2)
3.5 The Bonding Interactions in H(2)O and their Angular Dependence
45(7)
3.6 The Molecular Orbital Energy Level Diagram for H(2)O
52(2)
3.7 Comparison with Experiment
54(2)
3.8 The Walsh Diagram for Triatomic Dihydrides
56(2)
3.9 Simple Models for the Bonding in H(2)O
58(2)
3.10 A rapprochement between Simple and Symmetry Models
60(2)
3.11 Summary
62(1)
Chapter 4 The D(2h) Character Table and the Electronic Structures of Ethene and Diborane
63(34)
4.1 The Symmetry of the Ethene Molecule
63(3)
4.2 The Character and Multiplication Tables of the D(2h) Group
66(2)
4.3 Direct Products of Groups
68(3)
4.4 The Symmetries of the Carbon Atomic Orbitals in Ethene
71(8)
4.5 The Symmetries of the Hydrogen Is Orbitals in Ethene
79(2)
4.6 The Projection Operator Method
81(3)
4.7 Bonding in the Ethene Molecule
84(3)
4.8 Bonding in the Diborane Molecule
87(5)
4.9 Comparison with other Models
92(4)
4.10 Summary
96(1)
Chapter 5 The Electronic Structure of Bromine Pentafluoride, BrF(5)
97(26)
5.1 Symmetry Operations of the C(4v) Group
99(2)
5.2 Problems in Using the C(4v) Group
101(2)
5.3 Orthonormality Relationships
103(4)
5.4 The Derivation of the C(4v) Character Table Using the Orthonormality Theorems
107(5)
5.5 The Bonding in the BrF(5) Molecule
112(10)
5.6 Summary
122(1)
Chapter 6 The Electronic Structure of the Ammonia Molecule
123(15)
6.1 The Symmetry of the Ammonia Molecule
123(5)
6.2 The Bonding in the Ammonia Molecule
128(9)
6.3 Summary
137(1)
Chapter 7 The Electronic Structures of some Cubic Molecules
138(42)
7.1 The Symmetry Operations of the Octahedron
139(10)
7.2 The Bonding in the SF(6) Molecule
149(13)
7.3 Octahedral Transition Metal Complexes
162(9)
7.4 The Bonding in Tetrahedral Molecules
171(3)
7.5 The Determination of the Point Group of a Molecule
174(4)
7.6 Summary
178(2)
Chapter 8 Groups and Subgroups
180(11)
8.1 Invariant and Non-invariant Subgroups
180(5)
8.2 Correlation Tables
185(5)
8.3 Summary
190(1)
Chapter 9 Molecular Vibrations
191(14)
9.1 Normal Modes
191(2)
9.2 Symmetry Coordinates
193(5)
9.3 The Whole-molecule Method
198(3)
9.4 The Vibrations of Already-vibrating Molecules
201(3)
9.5 Summary
204(1)
Chapter 10 Direct Products
205(22)
10.1 The Symmetry of Product Functions
205(4)
10.2 Configurations and Terms
209(5)
10.3 Direct Products and Quantum Mechanical Integrals
214(6)
10.4 Spectroscopic Selection Rules
220(6)
10.5 Summary
226(1)
Chapter 11 p-Electron Systems
227(18)
11.1 Square Cyclobutadiene and the C(4) Point Group
227(4)
11.2 Optical Activity
231(1)
11.3 Working with Complex Characters
232(1)
11.4 The p Orbitals of Cyclobutadiene
233(2)
11.5 The Energies of the p Orbitals of Cyclobutadiene in the Hückel Approximation
235(5)
11.6 Symmetry and Chemical Reactions
240(4)
11.7 Summary
244(1)
Chapter 12 Space Groups
245(46)
12.1 The Crystal Systems
245(8)
12.2 The Bravais Lattices
253(7)
12.3 The 32 Crystallographic Point Groups
260(4)
12.4 The Symmorphic Space Groups
264(6)
12.5 The Non-symmorphic Space groups
270(3)
12.6 Non-symmorphic Relatives of the Point Group D(2)
273(10)
12.7 The Space Group P2(1)/c (C^5(2h))
283(3)
12.8 Unit Cells
286(1)
12.9 Wigner-Seitz Unit Cells
287(3)
12.10 Summary
290(1)
Chapter 13 Spectroscopic Studies of Crystals
291(15)
13.1 Translational Invariance
291(2)
13.2 The Factor Group and Unit Cell Group Models
293(3)
13.3 Examples of Use of the Factor and Unit Cell Group Models
296(9)
13.3.1 The v(CO) spectra of crystalline (C(6)H(6))Cr(CO)(3)
296(4)
13.3.2 The vibrational spectrum of a M(C=O)(3) species crystallizing in the C2/c (C^6(2h)) space group using the unit cell model
300(5)
13.4 Summary
305(1)
Appendix 1 Groups and Classes: Definitions and Examples
306(11)
A1.1 Groups
306(2)
A1.2 Some Examples of Groups
308(2)
A1.3 The Classes of a Group
310(4)
A1.4 Class Algebra
314(3)
Appendix 2 The Mathematical Basis of Group Theory
317(31)
A2.1 Matrix Algebra and Symmetry Operations
317(9)
A2.2 Direct Products
326(5)
A2.3 The Orthonormality Relationships
331(10)
A2.4 The Reduction of Reducible Representations
341(7)
Appendix 3 Character Tables of the more Important Point Groups
348(41)
Appendix 4 The Fluorine Group Orbitals of p Symmetry in SF(6)
389(15)
Appendix 5 The C(8v) and D(8h) Point Groups
404(5)
Appendix 6 Hermann-Mauguin (H-M) and Schönflies (S) Equivalents
409(2)
Further Reading 411(2)
Index 413

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