Resonant inelastic X-ray scattering in d and f electron systems

Recent progress in the study of resonant inelastic X-ray scattering (RIXS) spectroscopy in d and f electron systems is described. The main space is devoted to the theoretical investigations, some typical experimental data and the comparison of calculated and experimental results, putting emphasis on the underlying physical mechanisms. We con. ne ourselves mainly to the studies performed since 2000, and discuss the following topics: ( 1) RIXS in high T-c cuprates, ( 2) f(0) and d(0) systems, ( 3) other transition metal compounds, ( 4) RIXS by electric quadrupole excitation, and ( 5) magnetic circular dichroism in RIXS of ferromagnetic systems. Some brief description is also given on the future prospect of the RIXS study.