The Bell That Rings Light: A Primer in Quantum Mechanics And Chemical Bonding

by Wallace, Dorothy; Belbruno, Joseph J.

• ISBN13: 9789812567062
• ISBN10: 9812567062
• Format: Paperback
• Copyright: 2006-09-30
• Publisher: World Scientific Pub Co Inc

Summary

This book is an introduction to quantum mechanics and mathematics that leads to the solution of the Schrodinger equation. It is can be read and understood by undergraduates without sacrificing the mathematical detail necessary for a complete solution giving the shapes of molecular orbitals seen in every chemistry text. Readers are introduced to many mathematical topics new to the undergraduate curriculum such as basic representation theory, Schur's lemma, and the Legendre polynomials.

Table of Contents

Preface	p. ix
Rutherford, Bohr and Balmer	p. 1
Some Important Experiments	p. 7
Early Quantum Mechanics: The Atom	p. 15
New Assumptions	p. 19
Zetetics	p. 23
Classical Waves	p. 31
Particle-in-a-Box	p. 39
Exploring the Analogy	p. 45
Dr. Schrodinger, I Presume?	p. 49
The Quantum Numbers	p. 53
Pleased to Meet you, Dr. Schur	p. 59
The Spherical Harmonics	p. 65
More French Mathematicians	p. 71
Reprise: The Quantum Numbers	p. 77
Chemistry and Bonding	p. 81
Valence Shell Electron Pair Repulsion	p. 89
The Shape of an Orbital	p. 93
Molecular Orbital Theory	p. 103
Valence Bond Theory	p. 117
Other Kinds of Bonding	p. 123
Case Study: Dye Molecules	p. 129
Afterword	p. 135
Index	p. 137
Table of Contents provided by Ingram. All Rights Reserved.