Coupled Anharmonic Vibrations as a Cause of Broadening of Spectral Bands: Hydrogen Bonded Systems

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Abstract
The broadening of molecular spectral bands in hydrogen bonded systems is calculated for a simple model of the hydrogen bonded molecule on the assumption that it is due to the precession of coupled anharmonic vibrations. The approximate classical mechanics of such a generalized system is developed in terms of known results in the theory of nonlinear mechanics. It is shown that when reasonable molecular parameters are substituted into the calculated broadening one obtains values consistent in all respects with the experimental data.