Theory of polarization dependence in resonant X-ray emission spectroscopy of Ce compounds

We calculate the Ce 4f --> 3d resonant X-ray emission spectroscopy (4f --> 3d RXES) of Ce compounds, CeF3 and CeO2, by means of ionic and impurity Anderson model with full multiplet effects, respectively. The calculation is based on the second-order optical formula, and the effect of the X-ray polarization is taken into account. The calculated results of 4f --> 3d RXES show the strong dependence on the X-ray polarization: as well as on the scattering angle. Using the selection rule of the dipole transition with polarized X-rays, the calculated spectral features are explained.