Polarization dependence of soft-x-ray Raman scattering at theLedge ofTiO2

Polarization dependence of soft-x-ray Raman scattering was investigated at the Ti $2p$ absorption edge of ${\mathrm{TiO}}_2.$ Strong Raman scattering feature appears about 14 eV below elastic peaks with strong polarization dependence. These Raman scattering structures are charge transfer excitations to the antibonding state between ${3d}^1{L}^{-1}$ and ${3d}^0$ states, because they are enhanced when the incident photon energies are tuned at satellite structures of Ti $2p$ absorption spectrum. Broad Raman scattering structures are found between 3 eV and 10 eV below elastic peaks. They are assigned to be nonbonding type charge transfer excitations or interband transition from O $2p$ valence to Ti $3d$ conduction bands, which includes the crystal field splitting in $D_{2h}$ symmetry with two Ti-O bond lengths.