ABSTRACT

Winner of a 2005 CHOICE Outstanding Academic Book Award

Molecular symmetry is an easily applied tool for understanding and predicting many of the properties of molecules. Traditionally, students are taught this subject using point groups derived from the equilibrium geometry of the molecule.

Fundamentals of Molecular Symmetry shows how to set up symmetry groups for molecules using the more general idea of energy invariance. It is no more difficult than using molecular geometry and one obtains molecular symmetry groups.

The book provides an introductory description of molecular spectroscopy and quantum mechanics as the foundation for understanding how molecular symmetry is defined and used. The approach taken gives a balanced account of using both point groups and molecular symmetry groups. Usually the point group is only useful for isolated, nonrotating molecules, executing small amplitude vibrations, with no tunneling, in isolated electronic states. However, for the chemical physicist or physical chemist who wishes to go beyond these limitations, the molecular symmetry group is almost always required.

part 1|110 pages

Spectroscopy and the Quantum States of Molecules

chapter Chapter 1|14 pages

Molecular spectroscopy

chapter Chapter 2|25 pages

Quantum mechanics

chapter Chapter 3|26 pages

Electronic states

chapter Chapter 4|21 pages

Vibrational states

chapter Chapter 5|22 pages

Rotational states

part 2|66 pages

Symmetry and Symmetry Groups

chapter Chapter 6|14 pages

Geometrical symmetry

chapter Chapter 7|32 pages

The symmetry of the Hamiltonian

chapter Chapter 8|19 pages

The symmetry groups of rigid molecules

part 3|177 pages

Applications of Symmetry

chapter Chapter 10|29 pages

The symmetry of electronic wavefunctions

chapter Chapter 11|23 pages

The symmetry of rotation-vibration wavefunctions

chapter Chapter 12|29 pages

Symmetry selection rules for optical transitions

chapter Chapter 13|17 pages

The symmetry groups of non-rigid molecules

part 4|29 pages

Other Symmetries and Symmetry Violation

chapter Chapter 14|18 pages

Other symmetries

chapter Chapter 15|10 pages

Symmetry violation