Results of measurements of neutron scattering from elemental rhenium are presented over incident-energy regions 0.3-1.5 MeV and 4.5-10.0 MeV. The first of these supplements previously reported work at this laboratory, and the second consists of studies in an entirely new energy range. These experimental results are interpreted in terms of optical-statistical and coupled-channels models, including consideration of dispersive effects. Some basic and applied physical implications of these considerations are discussed. Comparisons are made with other regional models and with evaluated nuclear-data files used in applications.This work supported by the United States Department of Energy under contract W-31-109-ENG-38.