RIXS at the |F1s -1 6a 1 1g resonance: The polarization dependent RIXS was computed for the |F1s -1 6a 1 1g resonance. In the localized description, the polarization dependence can be understood in terms of local π/σ character, and the notion that a dipole transition creates/annihilates a nodal plane perpendicular to the polarization direction. In the two-step approximation, this implies a symmetry selectivity in the absorption, that leads to an angular anisotropy in the emission. The S-F bond, where the F corresponds to the localized corehole, is selected as the molecular axis. This definition is required to define the angle between the incident and emitted radiation, see 1 in section II. The RIXS inten-sity depends on two factors (i) if the involved occupied valence MO locally has π or σ symmetry with respect to the S-F bond and (ii) the orbital amplitude of the F, on which the core-hole is localized on, in the involved MO. The polarization dependent RIXS intensity is an indicator of the shape and symmetry of the occupied MOs. More precisely the polarization dependence is defined by the scattering anisotropy (R) if Eq. ( ) which depends on the angle ϕ if between the transition dipole moments of core excitation and emission transition. According to Eq. ( ) the polarization dependence of the RIXS intensities is characterized by the function