REFLECTION AND INTERFERENCE STRUCTURE IN DIATOMIC FRANCK-CONDON DISTRIBUTIONS${^{*}}$
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Date
1983
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Ohio State University
Abstract
Loosely speaking, the Franck-Condon distributions for diatonic radiative transitions from a single vibrational level of a given electronic state to all possible levels (bound and free) of a second electronic state exhibit either ``reflection"" or ``Interference"" structure. In reflection structure there is a one-to-one mapping of peaks in the initial state probability distribution into peaks in the spectrum. No such simple relationship is known for interference structure (originally called ``internal diffraction"" by $Condon^{1}$). It can be shown that the condition for reflection structure is a monotonic difference potential in the range of internuclear distance R sampled by the initial wavefunction, whereas interference structure occurs when the initial wavefunction samples extrema in the difference potential$ ^{2}$. These conditions are discussed with application to a number of diatomic transitions. ${^{*}}$ Work supported by the Air Force Office of Scientific Research. $^{1}$ E. U. Condon, Phys. Rev. 32. 858 (1928). $^{2}$ J. Tellinghuisen, et al., Chen. Phys. 50. 313 (1980)
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Author Institution: Department of Chemistry, Vanderbilt University