Franck-Condon Factors and Their Use in Undergraduate Quantum Mechanics

John C. Wright
Department of Chemistry, University of Wisconsin, Madison, WI 53706
Theresa Julia Zielinski
Department of Chemistry, Medical Technology & Physics, Monmouth University, West Long Branch, NJ 07764
J. Chem. Educ., 1999, 76 (10), p 1367
DOI: 10.1021/ed076p1367
Publication Date (Web): October 1, 1999

Abstract

Symbolic mathematics software makes it possible for undergraduates to model the expansion of a wave function using the Hermite polynomials of a simple harmonic oscillator. The probabilities for transitions between the vibrational states of two electronic states with different equilibrium displacements are directly determined by the Franck-Condon factors, which are simply the coefficients of the expansion of one state in terms of the other state’s basis functions. Exercises are described that allow students to explore and understand the Franck-Condon factors and to apply their understanding to interpreting simple spectra including the octatetraene and iodine absorption spectra. These exercises are used to promote active learning in physical chemistry courses.

Keywords (Audience):

Upper-Division Undergraduate

Keywords (Domain):

Physical Chemistry

Keywords (Pedagogy):

Computer-Based Learning

Keywords (Subject):

Learning Theories

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  • Received: August 03, 2009

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