Molecular Symmetry and Spectroscopy

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• Publisher: NRC Research Press
• Year: 2006
• eBook ISBN:
  9780660184647
• Edition: 0
• Topic: Physical Sciences

This textbook explains the use of the molecular symmetry group in understanding high resolution molecular spectroscopy. The material of the first edition has been reorganized and much has been added. The molecular symmetry group is now introduced early on, and the explanation of how to determine nuclear spin statistical weights has been consolidated in one chapter, after groups, symmetry groups, character tables and the Hamiltonian have been introduced. A description of the symmetry in the three-dimensional rotation group K(spatial), irreducible spherical tensor operators, and vector coupling coefficients is now included. The chapters on energy levels and selection rules contain a great deal of material that was not in the first edition (much of it was undiscovered in 1979), concerning the Jahn-Teller effect, the Renner effect, Multichannel Quantum Defect Theory, the use of variational methods for calculating rotational-vibration energy levels, and the contact transformed rotation-vibration Hamiltonian. A new chapter is devoted entirely to weakly bound cluster molecules (often called Van der Waals molecules). A selection of experimental spectra is included in order to illustrate particular theoretical points.NOTE: For the e-book edition, the Corrections and Updates listed in Appendix C of the 2006 second printing have been directly incorporated into the text. Phase factor errors in Eq. (16-27) have also been corrected.

Table of contents

• Front cover
• Half t itle page
• Publisher
• Title page
• Copyright
• Dedication
• Contents
• From Preface to Edition 1
• From Preface to Edition 2
• Preface to E-book Edition
• Introduction
• 1 The Complete Nuclear Permutation Group
• 2 The Complete Nuclear Permutation Inversion Group
• 3 The Molecular Symmetry Group
• 4 Rotation Groups and Point Groups
• 5 Representations and Character Tables
• 6 The Symmetry Labeling of Molecular Energy Levels
• 7 The Molecular Hamiltonian and its Symmetry
• 8 Nuclear Spin Statistics
• 9 The Born-Oppenheimer Approximation and the Electronic Wavefunction
• 10 The Coordinates and Momenta in the Rotation-Vibration Hamiltonian
• 11 The Rotation and Vibration Wavefunctions
• 12 The Symmetry of the Rovibronic Wavefunctions
• 13 Energy Levels and Interactions
• 14 Transition Intensities and Optical Selection Rules
• 15 Nonrigid Molecules
• 16 Weakly Bound Cluster Molecules
• 17 Linear Molecules
• 18 Electron Spin Double Groups
• APPENDIX A The Character Tables
• APPENDIX B The Correlation Tables
• References
• Index