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Symmetry and Structure Readable Group Theory for Chemists

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ISBN-10: 0471954764

ISBN-13: 9780471954767

Edition: 2nd 1995 (Revised)

Authors: Sidney F. A. Kettle

List price: $110.00
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Description:

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.
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Book details

List price: $110.00
Edition: 2nd
Copyright year: 1995
Publisher: John Wiley & Sons, Incorporated
Publication date: 6/15/1995
Binding: Paperback
Pages: 430
Size: 6.50" wide x 9.25" long x 1.00" tall
Weight: 1.540
Language: English

Preface to Third Edition
Theories in conflict
Introduction
The ammonia molecule
The atomic orbital model
The hybrid orbital model
The electron-repulsion model
The electron-spin-repulsion model
Accurate calculations
The symmetry of the water molecule
Symmetry operations and symmetry elements
Multipliers associated with symmetry operations
Group multiplication tables
Character tables
Summary
The electronic structure of the water molecule
The orthonormal properties of irreducible representations
The transformation properties of atomic orbitals in the water molecule
A reducible representation
Symmetry-adapted combinations
The bonding interactions in H[subscript 2]O and their angular dependence
The molecular orbital energy level diagram for H[subscript 2]O
Comparison with experiment
The Walsh diagram for triatomic dihydrides
Simple models for the bonding in H[subscript 2]O
A rapprochement between simple and symmetry models
Summary
Vibrational spectra of the water molecule
Vibrations of the water molecule: Part 1 (easy)
Vibrations of the water molecule: Part 2 (less easy!)
Product functions
Direct products and quantum mechanical integrals
Spectroscopic selection rules
The vibrational spectroscopy of the water molecule
Optical activity
Summary
D[subscript 2h] character table and the electronic structures of ethene (ethylene) and diborane
The symmetry of the ethene molecule
The character and multiplication tables of the D[subscript 2h] group
Direct products of groups
Nodal patterns of the irreducible representations of the D[subscript 2h] group
The symmetries of the carbon atomic orbitals in ethene
The symmetries of the hydrogen 1s orbitals in ethene
The projection operator method
Bonding in the ethene molecule
Bonding in the diborane molecule
Comparison with other models
Summary
The electronic structure of bromine pentafluoride, BrF[subscript 5]
Symmetry operations of the C[subscript 4v] group
Problems in using the C[subscript 4v] group
Orthonormality relationships
The derivation of the C[subscript 4v] character table using the orthonormality theorems
Nodal patterns of the irreducible representations of C[subscript 4v]
The bonding in the BrF[subscript 5] molecule
Summary
The electronic structure of the ammonia molecule
The symmetry of the ammonia molecule
Nodal patterns of the irreducible representations of C[subscript 3v]
The bonding in the ammonia molecule
Summary
The electronic structures of some octahedral molecules
The symmetry operations of the octahedron
Nodal patterns of the irreducible representations of the O[subscript h] group
The bonding in the SF[subscript 6] molecule
Octahedral transition metal complexes
Summary
Point groups and their relationships
The determination of the point group of a molecule
The relationships between point groups
Correlation tables
Summary
Tetrahedral, icosahedral and spherical symmetries
An overview
The tetrahedron
The icosahedron
Spherical symmetry
Linear molecules
Summary
[pi]-Electron systems
Square cyclobutadiene and the C[subscript 4] point group
Working with complex characters[superscript 4]
The [pi] orbitals of cyclobutadiene
The energies of the [pi] orbitals of cyclobutadiene in the Huckel approximation
Symmetry and chemical reactions
Summary
The group theory of electron spin
The problem of electron spin
More about the symmetry of product functions
Configurations and terms
The inclusion of electron spin
Summary
Space groups
The crystal systems
The Bravais lattices
The crystallographic point groups
The symmorphic space groups
The non-symmorphic space groups
Unit cells
Wigner-Seitz unit cells
Summary
Spectroscopic studies of crystals
Translational invariance
The factor group and unit cell group models
Examples of use of the factor and unit cell group models
The v(CO) spectra of crystalline (C[subscript 6]H[subscript 6])Cr(CO)[subscript 3]3
The vibrational spectrum of a M(C[Congruent with])[subscript 3] species crystallizing in the C2/c ([Characters not reproducible] space group using the unit cell model
Summary
Groups and classes: definitions and examples
Groups
Some examples of groups
The classes of a group
Class algebra
Matrix algebra and group theory
Matrix algebra and symmetry operations
Direct products
Character tables of the more important point groups
The fluorine group orbitals of [pi] symmetry in SF[subscript 6]
Ligand group orbitals of complex ions
The Hermann-Mauguin notation
Non-symmorphic relatives of the point group D[subscript 2]
The space group P2[subscript 1]/C([Characters not reproducible]
Index