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Reactive Oxygen Species Generation on Nanoparticulate Material  181

                                   .
        produce surface-bound SO3 . The relatively high quantum yields are
                                               .
        attributed in part to the desorption of SO3 from the  -Fe 2 O 3 surface and
        subsequent initiation of a homogeneous aqueous-phase free radical chain
        oxidation of S(IV) to S(VI). The following photochemical rate expression
        describes the observed kinetics over a broad range of conditions:

                                                            2
                   d[SsIVd]                          K [HSO 3 ]
                                                      s
                 2          5 fI 0 s1 2 10 2e[a-Fe 2 O 3 ]/ da  2  b  (45)
                      dt                           1 1 K [HSO 3 ]
                                                        s
        where the quantum yield   is defined as follows [40, 41]:
                          [ of molecules reacting via pathway i
          f i sld;                                                    (46)
                  total number of photons absorbed by reacting molecule

        or

                                     moles of compound transformed
                                21
               f sldsmol einstein d 5                                 (47)
                r
                                        moles of photons absorbed
        where
                                       f 5 1                          (48)
                                        i
                                      i
          A similar kinetic expression [38] was observed for the photocatalytic
        oxidation of S(IV) on TiO . In this case, for    385 nm, quantum yields
                               2
        in excess of unity (e.g., 0.5      300) were observed and attributed also
                                .
        to desorption of the SO 3  radical anion from the TiO surface leading
                                                          2
        to the initiation of homogeneous free radical chain reactions. These chain
        reactions have an amplified effect on the measured quantum efficiency.
        Depending on the free radical chain length, the measured   values can
        be greater than one. In addition, the observed quantum yields depend
        on the concentration and nature of free radical inhibitors present in the
        heterogeneous suspension.
          For SO in water, the free radical chain reactions involve the forma-
                 2
                                                .
                                                      .
        tion of sulfur radical species such as SO , SO , and SO  .  that are
                                                               5
                                               3
                                                     4
        alternative forms of ROS with similar reactivity to superoxide and
        hydroxyl radicals.
          Iron oxides and iron oxide polymorphs initiate the chain reaction as
        follows:
                                            hv
                                   2                     2
                       O   1  2 HSO 3    h 2 HSO 4                    (49)
                        2
                                           -Fe 2 O 3
                                       2
                                                       2
                        . FeOH 1 HSO 3     m   . FeSO 3 1 H O         (50)
                                                             2
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