The electronic structure of (Ti,Mn)O₂ diluted magnetic semiconductors was investigated theoretically from
first principles using the fully relativistic Dirac linear muffin-tin orbital band structure method. The electronic
structure was obtained with the local spin-density approximation taking into account strong Coulomb correlations
in the frame of the LSDA + U approximation. The x-ray absorption spectra and x-ray magnetic circular
dichroism spectra at the Mn and Ti L₂,₃ and O K edges were investigated theoretically from first principles. The
origin of the XMCD spectra in these compounds was examined. The calculated results are compared with available
experimental data.