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44   Principles and Methods

        containing chloride as ligands in the early complexes formed in solution.
        It has been proposed [37] that chloride ligands orient the early stages of
        condensation in the formation of brookite. As long as chloride ions are pres-
        ent in suspension, brookite nanoparticles remain stable, while if chloride
        ions are replaced by perchloric anions, brookite transformation into rutile
        is complete after several hours at 90 C.
          These examples underscore the versatility of oxide nanoparticle chem-
        istry in an aqueous medium. The main parameter allowing the control
        of nanoparticle morphology (size, crystalline structure) is the acidity of
        the reaction bath. A strict control is consequently critical to obtain well-
        defined nanoparticles. It is however interesting to distinguish two sorts
        of physico-chemical conditions in these syntheses.
          In moderately acidic or basic media, the sign and the density of the elec-
        trostatic surface charge of particles varies as a function of pH due to
        proton adsorption-desorption equilibria. This involves a change in chem-
        ical composition of the surface and therefore a change in surface energy
        of the particle during formation. When the surface charge density is
        high (the pH is far from the surface point of zero charge), the surface
        energy is strongly decreased. As a consequence, the size of nanoparticles
        decreases because the energetic penalty to develop surface is notably
        reduced. Asemiquantitative model [28] works well to account for this size
        effect for anatase and magnetite and to explain the change in shape of



         (a)                              (b)







                                                                  0.34 nm

                   0.34 nm         5 nm              0.34 nm        3 nm
                           (c)                     25 nm












        Figure 3.8 HRTEM micrographs of particles of brookite after one month of thermolysis at
                                       3
                           3
        100 C (TiCl 4 0.15 mol dm , HCl 3 mol   dm ); inset, the local electron diffraction pattern [37].
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