FC07 15min10:30
THEORY OF ODD TORSIONAL TRANSITIONS IN THE V-N RESONANCE RAMAN SPECTRUM OF ETHYLENE.

J. K. G. WATSON, W. SIEBRAND, M. Z. ZGIERSKI, Steacie Institute for Molecular Sciences, National Research Council of Canada, Ottawa, Ontario, Canada K1A 0R6.; M. PAWLIKOWSKI, Department of Computational Methods in Chemistry, Jagiellonian University, 30-060 Cracow, Poland..

The V-N resonance Raman spectrum of ethylene shows a long progression in even quanta of the ground-state torsional mode nu4''(au). Bands approximately midway between the even quanta have been assigned to transitions to odd quanta of nu4''. Such transitions are forbidden according to the usual g\not\leftrightarrow u selection rule of Raman spectroscopy. Here we consider the theory of the intensity of such transitions allowing for the fact that the excited state is twisted by 90^\circ at equilibrium, using Hougen's double group theory. From approximate one-dimensional torsional potentials of the V and N electronic states, it is shown that good qualitative agreement between observed and calculated intensities is obtained. The electronic transition moment is assumed to be proportional to \cos\theta, where \theta is the torsional angle, but the calculated relative intensities are not sensitive to the precise torsional dependence. More detailed theory will require consideration of the avoided crossing affecting the V state.