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ION–SOLVENT INTERACTIONS 183

          bond and hence destroy its dielectric properties. Thus,  is the force on a dipole,
          where Xis the electric fieldand is the dipole moment. If  for the liquid
                  is the standard free energy of a dissociation reaction), it should break down.
          The results ofcalculations along these lines for water show that more than
          would be needed and this kind of electric field strength could only be attained at an
          interface. However, even then, breakdown by electrical tearing apart does not merit
          too much attention any more because it has been known since the 1950s that fields at
          interfaces between electrodes and solutions are on the order of   (Chapter
          6), yet water there retains its chemical stability.
             On the other hand, most chemists and physicists who have discussed this phe-
          nomenon in the 1980s and 1990s observed that the streamers come from the electrode
          and that light is emitted from the electrode. The interfacial region undoubtedly plays
          the determinative role in the dielectric breakdown of liquids.
             One view has concentrated upon seeing water and dilute solutions thereof as if
          they were intrinsic semiconductors, i.e., semiconductors in which no impurities have
          been added to provide foreign atoms that could ionize and provide electrons to increase
          conductance. Such bodies are known to have three vital regions. In one, the electron

























                         Fig. 2.73.  A schematic representation of the
                         Fermi level of the electrons in the electrode
                         and different levels in       and
                         correspond to the position of the Fermi level,
                           and    represent  the  valence and conduc-
                         tion bands of water. The barrier for the elec-
                         trons at the  metal–solution  interface is  also
                         shown. (Reprinted  from M.  Szklarczyk, R.
                         Kainthla, and J. O’M. Bockris, J. Electrochem.
                         Soc. 136:2512, 1989.)
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