1s2presonant inelastic x-ray scattering inα−Fe2O3

We report experimental and theoretical results on the Fe K edge x-ray absorption spectrum and $1s2p$ resonant inelastic x-ray scattering (RIXS) spectra in $\alpha -{\mathrm{Fe}}_2{\mathrm{O}}_3.$ The results are interpreted using an ${\mathrm{FeO}}_6^{9-}$ cluster model with intra-atomic multiplet coupling and interatomic covalency hybridization. The $1s2p$ RIXS is treated as a coherent second-order optical process. It is shown that the double-peak structure in the pre-edge region of Fe K absorption spectrum is due to the cubic crystal-field splitting, and that the intensity of the $e_g\hspace{0.5em}{(t}_{2g})$ component in the $1s2p$ resonant inelastic spectrum is enhanced by tuning the incident photon energy to the $e_g\hspace{0.5em}{(t}_{2g})$ component in the absorption spectrum.