“…For the thermal velocity we have the formula m e v th 2 ϭ3/2 kT, with m e the effective mass of the electron, v th the thermal velocity, k Boltzmann's constant, and T the temperature. Taking m e to be 100 times that of a freeelectron mass, 17 we have v th ϭ1.1ϫ10 4 cm/s at 300 K. We calculate the drift velocity from the formula v d ϭE, with v d the drift velocity, the electron mobility in the TiO 2 conduction band, and E the built-in electric field. Taking ϭ0.1 cm 2 V Ϫ1 s Ϫ1 and Eϭ5ϫ10 4 V/cm ͑from 0.7 V across 150 nm͒ gives v d ϭ4ϫ10 3 cm/s.…”