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40   Principles and Methods

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        role of electron mobility between Fe  and Fe   ions in the crystal-
        lization process. With other divalent cations, intervalence transfers
        are negligible and a spinel ferrite forms only by dissolution-
        crystallization [24]. With x   0.66, corresponding to stoichiometric
        magnetite, the mean particle size is controlled on the range 2–12 nm
        by the conditions of the medium, pH and ionic strength (I), imposed
                                                       1
        by a salt (8.5   pH   12 and 0.5   I   3 mol   L ) (Figure 3.4) [27].
        Such an influence of acidity on the particle size is relevant to ther-
        modynamics rather than kinetics (nucleation and growth processes).
        Acidity and ionic strength act on protonation–deprotonation equilib-
        ria of surface hydroxylated groups and, hence, on the electrostatic sur-
        face charge. This leads to a change in the chemical composition of the
        interface, inducing a decrease of the interfacial tension,  , as stated
        by Gibbs’s law, d      d
 i , where   i  is the density of adsorbed species
                              i
        i with chemical potential 
 i . Finally, the surface contribution, dG
         dA (A is the surface area of the system), to the free enthalpy of the
        formation of particles is lowered, allowing the increase in the system
        surface area [28].
          Due to the high electron mobility in the bulk, magnetite nanoparti-
        cles give rise to an interesting surface chemistry involving interfacial
        transfer of ions and/or electrons and allowing us to consider spinel iron
        oxide nanoparticles as refillable nanobatteries. Nanoparticles of mag-
        netite are very sensitive to oxidation and transform into maghemite
            3      3
        [(Fe ) Td (Fe 5/3 V 1/3 ) Oh O 4 ]. The high reactivity is obviously due to the
        high surface-to-volume ratio, and a controlled synthesis of particles
        requires strictly anaerobic conditions. However, aerobic oxidation is not
        the only way to go to maghemite. Different interfacial ionic and/or
        electron transfers that depend on the pH of the suspension can be
        involved in the transformation. In basic media, the oxidation of mag-
        netite proceeds by oxygen reduction at the surface of the particles
        (electron transfer only) and coordination of oxide ions, while in acidic



                                                                   50 nm
                              12
                              10
                             D nm  8 6

                               4
                               2
          5 nm
                                9    10   11   12
                                         pH
        Figure 3.4 Electron micrographs of magnetite particles synthesized by precipitation in
        water and particle size variation against pH of precipitation [27].
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