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148   Principles and Methods



























                                                           3    4
        Figure 4.27 Results from XANES analysis at the Ce LIII edge for Ce , Ce , and CeO 2
        in contact with bacteria. (Adapted from Thill et al., 2006)

        a diameter of around 8 nm with 30 percent of Ce atoms at the surface.
        Using XAS spectroscopy at the Ce LIII edge, it has been demonstrated that
        30 to 40 percent of the cerium was reduced in the biological system. Indeed,
        the Ce (4 )  and Ce (3 )  XANES spectra are very different (Figure 4.27), allow-
        ing for their relatively easy differentiation. The XANES spectra can be
        decomposed using Gaussian individual components that can lead to a
                             3     4     3
        quantification of the Ce /(Ce    Ce ) ratio.

        Interactions with water
        Hydrophobicity describes the strength of the interaction between the
        nanoparticle and water. Hydrophobicity may be directly quantified using
        contact angle measurements or qualitatively described using partition-
        ing experiments. Contact angle is the angle measured at the three-phase
        interface made between solid, liquid, and gas phases. Essentially the con-
        tact angle depends on the free energy of cohesion for the solid and liquid
        and the free energy of adhesion between these two phases. The surface
        energy of air is essentially zero and may therefore be neglected. The
        energy balance is illustrated by the Young equation, which states:

                                 g  cos u 5 g 2 g                     (28)
                                           s
                                  L             L
        where u is the contact angle,   is the total surface free energy for the
                                     L
        liquid phase,   is the total surface free energy for the solid, and   SL  is
                      s
        the free energy of interaction between the solid and liquid.
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