Chapter 7. Group Theory and Spectroscopy

  1. J. García Solé,
  2. L.E. Bausá and
  3. D. Jaque

Published Online: 22 AUG 2005

DOI: 10.1002/0470016043.ch7

An Introduction to the Optical Spectroscopy of Inorganic Solids

An Introduction to the Optical Spectroscopy of Inorganic Solids

How to Cite

Solé, J. G., Bausá, L.E. and Jaque, D. (2005) Group Theory and Spectroscopy, in An Introduction to the Optical Spectroscopy of Inorganic Solids, John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/0470016043.ch7

Author Information

  1. Universidad Autónoma de Madrid, Madrid, Spain

Publication History

  1. Published Online: 22 AUG 2005
  2. Published Print: 18 FEB 2005

ISBN Information

Print ISBN: 9780470868850

Online ISBN: 9780470016046

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Keywords:

  • symmetry operation;
  • representations;
  • group theory;
  • Bethe notation;
  • character table;
  • Wigner–Eckart theorem;
  • Kramers ions;
  • Hamiltonian symmetry group;
  • basis functions

Summary

This chapter contains sections titled:

  • Introduction

  • Symmetry Operations and Classes

  • Representations: The Character Table

  • Reduction in Symmetry and The Splitting of Energy Levels

  • Selection Rules for Optical Transitions

  • Illustrative Examples

  • Advanced Topic: The Application to Optical Transitions of Kramers Ions

  • Exercises

  • References and Further Reading