Abstract
Various kinds of inelastic scattering of X-rays have been classified from the viewpoint of their physical processes. For each kind of scattering, theoretical as well as experimental features have been described. They include Compton scattering, X-ray Raman scattering, plasmon scattering and X-ray Brillouin scattering. Then recent developements on EXAFS and anomalous scattering are also reviewed. The main features or promising results to be obtained by SOR X-rays are mentioned as far as possible in each relevant case in contrast to the corresponding features found with the conventional source.