“…Few direct inter-band transitions with an energy higher than 3.8 eV are also predicted [15,16]. In such kind of nanocrystalline semiconductors the relatively flat bands possessing both properties of delocalized long-range ordered bands and localized states originating from the nanoconfinement effects begin to play a principal role [17]. Also, in the case of TiO 2 amorphous films, the ellipsometrically measured pseudodielectric function spectra have shown three distinct structures at about 3.3, 3.9 and 4.9 eV, which have been assigned to the transitions at the principal van Howe points in the Brillouin zone.…”