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Methods for Structural and Chemical Characterization of Nanomaterials  139





          Large maghemite






          pH = 9.5 : 11 nm



           pH = 12 : 3 nm



           20             40            60
                           (°2θ)
        Figure 4.19 X-ray diffraction patterns (  Cu K  = 1.5406 Å)
        of maghemite particles synthesized at different pHs with
        I   1 mol l  1  (T   25 C; 8-day aged suspensions) com-
        pared with large crystals. (Adapted from Jolivet et al.,
        2002)


        Raman. The Raman spectra for nanoparticles is modified, compared to
        that measured for larger particles, as a result of phonon confinement
        [see, for example, Richter et al., 1981]. In the model developed to ana-
        lyze the modification of the Raman peaks for nanocrystalline materials,
        the nanoparticles are considered as an intermediate case between a
        perfect infinite crystal and an amorphous material. The development of
        this model indicates that the Raman line of a perfect crystal is modified
        for nanoparticles by producing asymmetric broadening and peak shifts.
                                                       1
        For example, for TiO , the Raman peak at 142 cm  measured for large
                           2
        crystals shifts to 146 cm  1  for 8 nm particles and to 148 cm  1  for 5 nm
                                                                        1
        particles. Simultaneously, the FWHM increases from 10 to 18 cm
        [Kelly et al., 1997]. In separate experiments, Choi et al. [2005] observed
        a similar effect when examining TiO anatase nanoparticles on the peak
                                         2
                  1
        at 142 cm .
        XAS. For a detailed description of the application of XAS for charac-
        terizing materials as a function of size, the reader is referred to the lit-
        erature [see, for example, Greegor and Lytle, 1980; Jentys, 1999]. XAS
        can be used to characterize the size and shape of metallic nanoparticles.
        The parameter primarily reflecting the size and shape of metal parti-
        cles is the average coordination number, since when small clusters are
        examined by EXAFS the apparent average coordination number is
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