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144   Principles and Methods

        to determine particle surface charge. First the charge can be assessed
        using a proton as an atomic probe, by titrating a suspension of particles.
          The charge can also be determined indirectly by determining the zeta
        potential ( ) of the particles. The zeta potential is the electrical potential
        that exists at the “shear plane” at some distance from the particle sur-
        face. It is derived from measuring the electrophoretic mobility distribu-
        tion of a dispersion of charged particles as they are subjected to an electric
        field. The electrophoretic mobility is defined as the velocity of a particle
        per electric field unit and is measured by applying an electric field to the
        dispersion of particles and measuring their average velocity. Depending
        on the concentration of ions in the solution, either the Smoluchowski (for
        high ionic strengths) or Huckel (for low ionic strengths) equations are used
        to calculate the zeta potential from the measured mobilities. For very
        small particles the mobility is generally determined using laser Doppler
        velicometry.
          It is essential to determine the modifications of the surface charge
        (or zeta potential) as a function of pH and ionic strength. By doing so,
        it is possible to determine the point of zero charge (PZC) or isoelectric
                   ) for a sample. This is significant because nanoparticle sus-
        point (pH iep
        pensions are generally stable above and below the pH point of zero
        charge <pH > while the relationship with ionic strength is somewhat
                   pzc
        similar.
          Application in the particular case of nanoparticles. For biological tests, knowl-
        edge of the particle PZC is crucial as it relates to the stability or propen-
        sity to aggregate of the sample. The importance of this concept may be
        illustrated by considering cytotoxicology experiments conducted with
        fibroblasts cells and nano-maghemite. Here, the PZC of the nano-
        maghemites is around pH 7, which is close to the solution pH used
        during experiments looking at nanoparticle-cell interactions (DMEM, for
        example). Adding 8 nm nano-maghemite to a DMEM nutritive medium
        results in aggregation of the nano-maghemite, with the particle size
        approaching several tens of microns (Figure 4.24).
          In order to increase the stability of nanoparticles, their surface
        chemistry is often modified through functionalization or polymer
        encapsulation to modify their surface charge. In the case of nano-
        maghemites, the adsorption of DMSA (dimercaptosuccinic acid) at the
        maghemite surface strongly modified the surface charge leading to a
        stable dispersion in the nutritive medium. The DMSA is fixed through
        the SH group at the maghemite surface. Therefore, the external part
        of the DMSA-covered maghemite corresponds to the carboxylic group
        of the DMSA. At pH 7, the carboxylic groups are negatively charged
        resulting in repulsive electrostatic forces between the various parti-
        cles (Figure 4.25).
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