Band shapes of Fermi resonance spectra

Abstract

Fermi resonance is treated as an intramolecular energy transfer from one vibrational mode to another. The equation of motion for the vibrational correlation function is solved by assuming that each mode of a molecule has two energy levels. The power spectrum, given as the Laplace transform of the correlation function, is not generally described by the overlap of two symmetric bands. Various aspects of the spectrum are discussed.