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Nanoparticle Transport, Aggregation, and Deposition  237


           200
                                                            ap = 250 nm
           180
                                                            ap = 50 nm
           160
                                                            ap = 25 nm
           140
                                                            ap = 5 nm
           120
          U/kT  100

            80
            60
            40
            20

             0
              0                  1                 10                100
                                         h (nm)
        Figure 7.3 Electrostatic repulsion between a spherical particle and a flat surface plot-
        ted for several different particle sizes as a function of separation distance ( 1   30 mV;
         2   25 mV; pH   7; T   20ºC; I   1 mM NaCl).




        at similar scales (1 to 100 nm). This is important as many models are
        based on the assumption that  h is much less than the diameter of the
        particle.
          Nanoparticles have large surface area to volume ratios and potentially
        high sorption capacities for other aqueous species, such as ionic
        materials and natural organic matter [14], that would tend to favor
        complexation processes. For example, the high electron-affinity of
        fullerenes has been shown to facilitate covalent, charge transfer, and
        donor-acceptor interactions with other compounds [15]. Additionally,
        because a significant fraction of atoms are exposed at the nanoparticle
        surface, rather than contained in the bulk interior, nanoparticle surface
        chemistry can be significantly altered by surface complexation processes
        [14, 16]. Such processes can have a dramatic affect on nanoparticle
        surface charge characteristics and in turn the electrostatic interactions
        with other surfaces. Adsorption of ionic species can in fact impart a
        charge to an otherwise uncharged particle. For example, adsorption of
        water and subsequent deprotonation to form hydroxyl groups have pre-
        viously been observed for hydrophobic oil droplets in water, which was
        concluded to be the source of the measured electrophoretic mobility for
        these particles [17]. Similarly, the adsorption of hydroxyl groups and
        charge transfer interactions with solvents have been proposed as likely
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