Orbitals: With Applications In Atomic Spectra

Orbitals: With Applications In Atomic Spectra

by Charles Stuart Mccaw

Hardcover

$88.20 $98.00 Save 10% Current price is $88.2, Original price is $98. You Save 10%.
Choose Expedited Shipping at checkout for guaranteed delivery by Tuesday, December 10

Overview

This book describes atomic orbitals at a level suitable for undergraduates in chemistry. The mathematical treatment is brought to life by many illustrations rendered from mathematical functions (no artists' impressions), including three-dimensional plots of angular functions, showing orbital phase, and contour plots of the wavefunctions that result from orbital hybridisation. Orbitals extends the key fundamental quantum properties to many-electron atoms, linear combinations of atomic orbitals, simple molecules, delocalised systems and atomic spectroscopy. By focusing on simple model systems, use of analogies and avoiding group theory the results are obtained from initial postulates without the need for sophisticated mathematics.

Product Details

ISBN-13: 9781783264131
Publisher: Imperial College Press
Publication date: 07/31/2015
Series: Essential Textbooks In Chemistry Series
Pages: 170
Product dimensions: 5.90(w) x 9.00(h) x 0.80(d)

Table of Contents

Acknowledgements xi

Preface xiii

Chapter 1 Fundamentals 1

1.1 Wave-Particle Duality 1

1.2 Wavefunctions 2

1.3 Schrodinger and his Equation 3

1.4 Properties of Eigenvalue Equations 5

1.5 The Meaning of the Wavefunction 7

1.6 What are Orbitals and can they be Visualised? 8

1.7 Dirac Notation 11

Chapter 2 Orbitals in the Hydrogen Atom 13

2.1 Spherical Polar Coordinates 13

2.2 Degrees of Freedom and Quantum Numbers 14

2.3 Angular Momentum 16

2.4 Angular Wavefunctions of the Hydrogen Electron 18

2.5 Cubic f Orbitals in the Hydrogen Atom 27

2.6 Radial Wavefunctions of the Hydrogen Electron 31

2.7 The Bohr Radius 41

2.8 Orbital Energies in the Hydrogen Atom 43

2.9 G Orbitals 47

2.10 The Speed of the Electron 53

Chapter 3 Multi-Electron Atoms 57

3.1 Multi-Electron Schrodinger Equations and the Orbital Approximation 57

3.2 Shielding and Penetration 58

3.3 Slater's Rules 60

3.4 Electron Affinity and its Periodicity 64

3.5 Electron Spin and the Pauli Principle 67

3.6 Arrow-in-Box Notation and its Limitations 69

3.7 Ionisation of d-Block-Metal's Electrons 70

3.8 Irregular Configurations and Exchange Energy 77

3.9 An Alternative Approach to d-Block Configurations 81

3.10 Explaining Some Surprising d-Block Chemistry 87

3.11 Contrasts in f-Block Chemistry 93

Chapter 4 Wavefunctions in Multi-Electron Atoms 101

4.1 Antisymmetric Wavefunctions: Slater Determinant s 101

4.2 Energy Levels in Multi-Electron Atoms 104

4.3 Russell-Saunders Terms 106

4.4 Spin ½ 110

4.5 Spin-Orbit Coupling 111

4.6 Hund's Rules 112

4.7 JJ Coupling 114

4.8 Other Types of Magnetic Coupling 116

4.9 Crystal Fields 117

Chapter 5 Orbitals in Molecules 123

5.1 The Linear Combination of Atomic Orbitals (LCAO) 123

5.2 Molecular Orbital Energies 125

5.3 Types of Orbital Overlap 131

5.4 Hybridised Atomic Orbitals 135

5.5 Hybridised Bonding and Antibonding Orbitals 142

5.6 π Bonding in Benzene 144

Chapter 6 Atomic Spectroscopy 155

6.1 Electric-Dipole Transitions and Selection Rules 155

6.2 Simple Model Systems 160

6.3 Simple Atomic Spectra 175

6.4 Complex Atomic Spectra 184

Appendix A Worked Solutions to Exercises 199

Chapter 1 Fundamentals 199

Chapter 2 Orbitals in the Hydrogen Atom 200

Chapter 3 Multi-Electron Atoms 217

Chapter 4 Wavefunctions in Multi-Electron Atoms 222

Chapter 5 Orbitals in Molecules 229

Chapter 6 Atomic Spectroscopy 233

Bibliography 251

Index 257

Customer Reviews

Most Helpful Customer Reviews

See All Customer Reviews