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188                                Multifunctional Photocatalytic Materials for Energy

         transformation are acceptable only at very high temperatures. The value of the Gibbs
         free energy change of water dissociation at standard conditions (237 kJ/mol H 2 ) corre-
         sponds to a minimum applied voltage of +1.23 V or an energy requirement of 1.23 eV,
         according to
          DG =-  n F×× DE o  with  n = 2,  F = Faradaysconstant,  DE = voltage differeence
                                              ’
                                                           o
             o
           In other words, in order to start water splitting using an electrochemical cell, a min-
         imum necessary cell voltage of +1.23 V is required to move one electron.
           In the other way, water splitting is thermodynamically feasible using light radia-
         tions with wavelengths shorter than 1100 nm:

                                                     /
                     (
             BandgapeV) =   ( h 6 626.  ×10 -34  Js) × ( c 30/  .  ×10 8 ms)  ×  10 9  nm /  m
                                      l ( nm)            1.6610×  - 19  J/ eV
           However, water molecules are kinetically stable when irradiated with photons having
         an energy value close to 1.23 eV. Consequently, a more stringent kinetic requirement
         occurs for water splitting by light irradiation, because the activation energy for HO
                                    −1
         bond cleavage is about 500 kJ mol , which corresponds to a maximum wavelength of
         250 nm (UV-C radiation) [12]. In order to overcome the activation barrier for the water
         splitting reaction, it is necessary to use catalytic materials capable of converting light
         into chemical energy by absorbing photons. Theoretically, the photocatalyst would be a
         semiconductor (i) characterized by a band gap higher than 1.23 eV (thermodynamic en-
         ergy requirement) and (ii) capable of favoring the cleavage of the HO bond by lowering
                                −1
         the energy barrier (500 kJ mol ) of the reaction (kinetic energy requirement) (Fig. 9.1).



                        Activation energy
                         for uncatalyzed
                          water splitting

                                                         Activation energy
                                                        for photocatalyzed
                                                          water splitting


             Energy                          500 kJ/mol        H +O 2
                                                                2




                                                                 237 kJ/mol

                   H 2 O


                                      Reaction progress
         Fig. 9.1  Simplified energy diagram of noncatalytic and photocatalytic water splitting.
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