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Reactive Oxygen Species Generation on Nanoparticulate Material  169

                                       hn

                         (a)
                      +  +
                             ∗   +
                                        +
                                     (a)  +
                            (b)
                            (b)
                  (c)
                             +  +     (d)
        A –                           +          +
                                               D
                            TiO 2
                                           +
            –
         A + e → A –                    D + h → D +
                   A                 D
        Figure 5.11 Presented above is a graphic depiction of a
        spherical semiconductor particle, which has absorbed a
        photon of sufficient energy to promote and electron from
        the conduction band to the valence band. After charge sep-
                         2             1
        aration, the electron, e cb  , and the hole, h vb , may simply
        recombine either direct bandgap recombination (a) or indi-
                                       2    1
        rect recombination from trapped states (b) e tr  or h tr . Some
        of mobile electrons and holes can migrate to the surface of
        the nanoparticulate semiconductor where they can undergo
        electron transfer reactions (c and d). The trapped electron
        can be transferred to an electron acceptor, A, and the trapped
        hole can accept an electron from an electron donor, D.
                        o
        which gives a  G   237 kJ/mole). However, with the input of light at
        wavelengths  1000 nm (i.e., 1.23 eV   1000 nm), the overall energy
        requirement for the photosynthetic splitting of water can be met with
        solar radiation in principle. On the other hand, the rate of reaction in
        the normal Marcus regime should depend on the overall driving force
        (i.e., lower wavelength irradiation is preferable kinetically) and the
        thermodynamics of the initial or sequential one-electron transfer
        processes at the semiconductor surfaces. Moreover, the one-electron
        transfers are much less favorable thermodynamically than the overall
        two-electron transfer reactions as shown below:

                                  2.5 V (pH 7)
                             E H
                           ⎯⎯⎯⎯⎯⎯⎯⎯            .
                                           →
                                          ⎯
                H     e aq ←⎯⎯⎯⎯⎯⎯⎯           H aq                    (22)

                                  2.3 V (pH 7)
                             E
                                          →
                           ⎯⎯⎯⎯⎯⎯⎯⎯

                              H
                                          ⎯
                      H O ←⎯⎯⎯⎯⎯⎯⎯            . OH   H   e   q        (23)
                                                          aq
                       2
                                   1.8 V (pH 0)
                           ⎯⎯⎯⎯⎯⎯⎯⎯           .                       (24)
                                           →
                             E H
                                          ⎯
                      OH   ←⎯⎯⎯⎯⎯⎯⎯           OH   e aq
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