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178   Principles and Methods

        opposing charge acceptor. The charge trapping capacity of the surface
        eventually decreases following the complete recombination of a large
        number of free carriers. The charge carrier recombination rate increases
        with increasing surface hydration, indicating that surface hydroxylation
        assists annihilation reactions by allowing irreversible electron trap-
        ping. A surface electron trap state observed at 0.42 eV may be respon-
        sible for the mediating the annihilation mechanism.
          A number of alternative spectroscopic techniques have been applied
                                                                and other
        to characterize the lifetime of the mobile electrons in TiO 2
        semiconductors. Martin et al. [32, 33] used microwave frequency and
        Herrmann et al. [34] used radio frequency spectroscopy as a probe tech-
        nique after laser excitation and determined a broad range of lifetimes
        for the various trapping states from microseconds to milliseconds.
          Most metal oxide and mixed-metal oxide semiconductor surface chem-
        istry is dominated by hydroxyl groups when in the presence of water or
        humid air. For example, the metal niobates, LiNbO 3 and KNbO 3 , are
        widely used electro-optic and photorefractive materials that depend on
        the activation of surface protons (i.e., protons bound in hydroxyl ions,

         OH). The hydroxyl bound protons have activation energies in the range
        of 1 eV for mobility in LiNbO 3  and KNbO 3 crystals. The corresponding
        surface hydration in KNbO 3  leads to the following reactions:

                                              ⎯
                                            ⎯→
                   	 Nb(V)ONb(V)        H O ←⎯⎯   2  	 Nb(V)OH        (38)
                                        2
           2.5
                                          in water
                     Q-sized nanoparticulate TiO 2

           2.4    380 nm hn on
                                           380 nm hn on


           2.3
         pH


           2.2

                       Light off
           2.1
             0     20    50   75    100  125   150   175
                              Time (nm)
        Figure 5.21 Irradiation of TiO 2 quantum-sized colloids (D p = 2 nm)
        in water also produces trapped electrons and holes, which lead to
        shifts in the measured pH in the presence and absence of light with
        no added electron donor or acceptor except H 2 O.
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