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Updated: Feb 5, 2026

ARL Spectral Fitting as an Application to Augment Spectral Data via Franck-Condon Lineshape Analysis and Color Analysis
Published on: August 19, 2021
Franck-Condon picture of incoherent neutron scattering
1Centre de Biophysique Moléculaire, CNRS, Unité Propre de Recherche 4301, Université d'Orléans, 45071 Orléans, France; gerald.kneller@cnrs.fr.
Abstract:
A spectroscopic interpretation of incoherent neutron scattering experiments is presented which is based on Franck-Condon-type probabilities for scattering-induced transitions between quantum states of the target. The resulting expressions for the scattering functions enable an energy landscape-oriented analysis of neutron scattering spectra as well as a physical interpretation of Van Hove's space-time correlation functions in the quantum regime that accounts for the scattering kinematics. They suggest moreover a combined analysis of quasielastic and elastic scattering that become inseparable for complex systems with slow power-law relaxation.
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