title: Analytical formulas for Fermi resonance interactions in continuous distributions of states.
abstract: Fermi resonance interaction between a distributed fundamental vibrational level and a distributed overtone is considered. The overtone is assumed to be spectrally inactive. Simple analytical expressions are derived for the resulting spectral profile in terms of the distribution functions for the fundamental and overtone. The formulas enable straightforward modeling of spectra with Fermi resonances.
authors.affiliation: Department of Chemistry, Surface Science Center, University of Pittsburgh, 219 Parkman Avenue, Pittsburgh, PA 15260, USA. pek21@pitt.edu
authors.forename: Petro
authors.initials: P
authors.lastname: Kondratyuk
mesh_terms: D000465:Algorithms; D002627:Chemistry, Physical / Q000379:methods*; D007700:Kinetics; D015233:Models, Statistical; D008962:Models, Theoretical; D016011:Normal Distribution; D012984:Software; D013053:Spectrophotometry / Q000379:methods*; D013055:Spectrophotometry, Infrared / Q000379:methods; D013059:Spectrum Analysis, Raman / Q000379:methods*; D013696:Temperature; D014732:Vibration