Localized electronic states from surface hydroxyls and polarons in TiO ₂(110)

Hydroxyls on a TiO₂surface and photoinduced e ^-polarons give rise to excess charges, the electronic structure of which is critical to the fundamental understanding of their role in the reactivity of surface absorbates and ther photochemical processes. In this paper, we report on a DFT+U characterization of the electronic structure f one excess electron in bare and singly hydroxylated rutile (110) surfaces. The excess electron has the lectronic structure of a small polaron with its spin density and associated lattice distortion localized around single site. Calculations indicate that the most stable Ti trapping site in both bare and hydroxylated surfaces esides in the first subsurface layer under the Ti _5crow. However, trapping energy differences between several i sites are within 0.2eV, indicating that the Boltzmann population of these sites is significant at room emperature and that the excess electron will appear as fractionally occupying several sites. On the basis of arlier calculations, the activation barrier for electron hopping from site to site is small (<0.1eV). The stability ordering of the different Ti sites is very similar for the bare and hydroxylated surface, suggesting that the hydroxyl only weakly perturbs the surface electronic structure.