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170   Principles and Methods

        In the presence of oxygen, the reductive process in water leading to
                         2.
        superoxide ion, O 2  has the following half-reaction and a reduction
        potential of E   0.33 V: at pH 7.
                     H
                                      E H 520.33V
                                                   2.
                              2
                             O 1 e  m  O  2                           (25)
                                         pH57
        On the oxidative side, the water or hydroxyl radical has corresponding
        potential at pH 0:
                                   E H 521.8V
                           2 OH  m             .     2                (26)
                                    pH57     OH 1 e  aq
        However, when working with hydrated metal oxide surfaces one must
        take into account the nature of the reactive surface sites that normally
        involve metal hydroxyl functionalities. In the specific case of dehydrated
        TiO (see Figure 5.13), we must consider that when exposed to water
            2
        either in a humid atmosphere or in aqueous suspension the surface
        titanium-oxygen bonds in the crystallites undergo hydrolysis to pro-
        duce surface hydroxyl groups as follows [16 27]:

                                             k h
                     . Ti-O-Ti ,1 H O  m  2 . TiOH                    (27)
                                    2
                                             k d
          The metal hydroxyl surface sites (e.g., 	TiOH or 	FeOH) exist under
        ambient conditions in an open atmosphere or in an aqueous suspension.
        Once hydrolyzed, the surface hydroxyl groups either gain or lose a proton


           eV
          0  Vacuum level                                       E vs. NHE
        –3.0
                                                                    –1.0
        –4.0  3.0
        –4.5     1.1                                                0 H /H +
                                                                      2
        –5.0                          2.3                    1.7  2.5
                 Si                                                 +1.0
                                                                      /H O
                                                                    O 2  2
        –6.0        3.2  2.7  2.8  3.2  5.0  3.4  2.8  2.2  3.2  3.8  3.4  3.2  3.0
                                     GaP                    CdSe    +2.0
             SiC
        –7.0
                                                                CdS
                                           Fe O 3                   +3.0
                                            2
        –8.0
                  SrTiO  MnTiO                ZnO          TiO
                      3      3          WO         KTaO      2
                     FeTiO  BaTiO  Nb O 5  3           3   Rutile
                                    2
                         3     3
                                                        TiO
                                                          2
                               ZrO                    Anatase
                                  2
                                                 SnO 2
                                                                 pH = 0
        Figure 5.12 Comparison of the bandgap energies for an array of semiconductor relative
        to the reduction and oxidation potentials of water at pH 0.
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