Molecular Symmetry
(Sprache: Englisch)
Symmetry and group theory provide us with a formal method for thedescription of the geometry of objects by describing the patternsin their structure. In chemistry it is a powerful method thatunderlies many apparently disparate phenomena. Symmetry allows...
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Klappentext zu „Molecular Symmetry “
Symmetry and group theory provide us with a formal method for thedescription of the geometry of objects by describing the patternsin their structure. In chemistry it is a powerful method thatunderlies many apparently disparate phenomena. Symmetry allows usto accurately describe the types of bonding that can occur betweenatoms or groups of atoms in molecules. It also governs thetransitions that may occur between energy levels in molecularsystems, which in turn allows us to predict the absorptionproperties of molecules and hence their spectra. Molecular Symmetry lays out the formal language usedin the area using illustrative examples of particular moleculesthroughout. It then applies the ideas of symmetry to describemolecular structure, bonding in molecules and consider theimplications 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 subjectby combining symmetry with spectroscopy in a clear and accessiblemanner. Each chapter ends with a summary of learning points, aselection of self-test questions, and suggestions for furtherreading. A set of appendices includes templates for paper modelswhich will help students understand symmetry groups.
Molecular Symmetry is a must-have introduction to thisfundamental topic for students of chemistry, and will also find aplace on the bookshelves of postgraduates and researchers lookingfor a broad and modern introduction to the subject
Inhaltsverzeichnis zu „Molecular Symmetry “
Preface1. 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
... mehr
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
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
... weniger
Bibliographische Angaben
- Autor: David Willcock
- 2009, 1. Auflage, 192 Seiten, Maße: 16,8 x 25,5 cm, Gebunden, Englisch
- Verlag: Wiley & Sons
- ISBN-10: 0470853476
- ISBN-13: 9780470853474
- Erscheinungsdatum: 20.02.2009
Sprache:
Englisch
Pressezitat
"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)
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