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Zusammenfassung:
We perform full-potential screened-hybrid density-functional theory calculations to compare the thermodynamic stability of neutral and charged states of the surface oxygen vacancy at the rutile TiO2(110) surface. Solid-state (QM/MM) embedded-cluster calculations are employed to account for the strong TiO2 polarization response to the charged defect states. Similarly to the situation for the bulk O vacancy, the +2 charge state VO2+ is found to be energetically by far the most stable. Only for Fermi-level positions very close to the conduction band, small polarons may at best be trapped by the charged vacancy. The large decrease in the VO2+ formation energy with decreasing Fermi-level position indicates strongly enhanced surface O vacancy concentrations for p-doped samples.
