David Willock

Molecular Symmetry (eBook, PDF)

• Format: PDF

Produktbeschreibung

Symmetry and group theory provide us with a formal method for the description of the geometry of objects by describing the patterns in their structure. In chemistry it is a powerful method that underlies many apparently disparate phenomena. Symmetry allows us to accurately describe the types of bonding that can occur between atoms or groups of atoms in molecules. It also governs the transitions that may occur between energy levels in molecular systems, which in turn allows us to predict the absorption properties of molecules and hence their spectra. 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 self-test 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 must-have 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.

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Produktdetails

• Verlag: John Wiley & Sons
• Seitenzahl: 438
• Erscheinungstermin: 17. Februar 2009
• Englisch
• ISBN-13: 9780470747421
• Artikelnr.: 37299235

Autorenporträt

Dr David Willock, Department of Chemistry, Cardiff University, UK Dr Willock is a lecturer in physical chemistry at Cardiff University. His research focuses on computer simulations and computational chemistry. He teaches courses in physical chemistry, group theory and solid state chemistry.

Inhaltsangabe

Preface. 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 Self-Test 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 Self-Test
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 Self-Test 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
Off-Diagonal 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 Self-Test 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 d-Orbitals
in Common Transition Metal Complex Geometries. 5.9 Linear Molecules: Groups
of Infinite Order. 5.10 Summary. 5.11 Self-Test Questions. 6. Applications
in Vibrational Spectroscopy. 6.1 Introduction. 6.2 Selection Rules. 6.3
General Approach to Analysing Vibrational Spectroscopy. 6.4
Symmetry-Adapted Linear Combinations. 6.5 Normalization. 6.6 The Projector
Operator Method. 6.7 Linking Results for Symmetry-Inequivalent Sets of
Atoms. 6.8 Additional Examples. 6.9 Summary. 6.10 Self-Test Questions.
Further Reading. 7. Symmetry in Chemical Bonding. 7.1 Introduction. 7.2
Bond Energies. 7.3 The Relative Energies of Hydrogen-Like Atomic Orbitals.
7.4 The Molecules Formed by Other Second-Row Elements with Hydrogen. 7.5
The Second-Row Diatomic Molecules. 7.6 More Complex Polyatomic Molecules.
7.7 Metal Complexes. 7.8 Summary. 7.9 Self-Test Questions. Further Reading.
Appendices. Appendix 1. H2O Models for Identifying the Results of Symmetry
Operation Products. Appendix 2. Assignment of Chiral Centre Handedness
using Cahn-Ingold-Prelog 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 Franck-Condon Principle. Appendix 8. Classical
Treatment of Stokes/Anti-Stokes 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.

Rezensionen

"The work will prove to be a popular choice as a textbook or as anadditional resource for group theory and advanced inorganicchemistry courses." ( CHOICE , November 2009)

"A major strength of this book is its accessibility to thepractically and conceptually minded chemist; the reader is led intothe subject through strong visual presentation of the ideas andalthough the mathematics is by no means ignored, it is presentedwithin an applied context." ( The Higher Education AcademyPhysical Sciences Centre Reviews , May 2009)