Cold and thermal neutron scattering in liquid water—II: Scattering laws and group constants for HO and DO

On the basis of the cross-section model of liquid H 2 O, which has been developed in the previous paper, cold and thermal neutron scattering in liquid D 2 O is described. The dynamics of liquid molecules, together with their static distribution, is fully taken into account so that various results of neutron experiments and computer simulations are well reproduced especially in terms of coherent scattering like the diffuse Bragg one. The model covers a wide range of neutron incident energies from 0.1 μ eV to 10 eV at many different temperatures between 0 and 100 ∘ C. Double-differential and total scattering cross sections are calculated by the use of a generalized frequency distribution and, equivalently, a velocity auto-correlation function. Furthermore, a set of scattering laws and group constants for liquid H 2 O and D 2 O is generated, which will be useful for research and development of an advanced neutron source and a nuclear power reactor.