On the Connection Between the Koppel-Young and the Nelkin Models for Thermal Neutron Scattering in Water Molecules

A critical analysis of the Koppel-Young model is presented and compared with Nelkin’s model and their equivalence is asserted. It is shown that the only distinction between the two models is in the orientational averaging of the rotational-vibrational intermedial scattering function. Based on total cross sections, the Krieger-Nelkin orientation averaging has been confirmed to give excellent agreement with the Koppel-Young orientation averaging. However, significant quasi-periodical differences are observed when calculating differential cross sections. As a result of these insights, a new unified model is proposed for microdynamics of water molecules.