Selection Rules and Line-Strength Factors for Multiphoton Transitions in Gas Phase Molecular Spectroscopy

Authors

Stephen E. Bialkowski, Michigan Technological University
William A. Guillory, The University of Utah

Document Type

Article

Publication Date

2-1981

Department

Department of Chemistry

Abstract

Multiphoton transitions are discussed in terms applicable to experimental spectroscopy. A simple tensor operator for the equations governing multiphoton transitions in molecules is obtained. Selection rules for these processes are derived by symmetry considerations and procedures for calculation of rotational line-strength factors are given. For the general transition, the rovibronic n-photon selection rules can be determined by the symmetry product of a n-photon operator with the rovibronic wavefunctions. The line-strength factors are found by considering the integral over rotations of the nth rank tensor operators. The line-strength evaluations do not depend on exact knowledge of the vibronic overlap, to within a constant factor.

Publisher's Statement

© 1981

Publication Title

Chemical Physics

Recommended Citation

Bialkowski, S., & Guillory, W. (1981). Selection Rules and Line-Strength Factors for Multiphoton Transitions in Gas Phase Molecular Spectroscopy. Chemical Physics, 55(2), 229-236. http://doi.org/10.1016/0301-0104(81)85024-0
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/5639