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5.2 CRYSTAL STRUCTURE                                                        FUNDAMENTALS























                  Figure 5.2.7
                  (a) Crystal structure and (b) equi-density surface of nuclear density of lanthanum gallate (1,392 C) determined by the
                  Rietveld refinement and MEM analysis of neutron diffraction data. Diffusion path of oxygen ions (white arrows) is not a
                  straight O1–O2 line but curved [4].

                  scattering (lattice vibration, phonon, motions of mole-  liquids, and gases. Raman scattering is a powerful,
                  cules, atomic motions in liquids, colloid and liquid  convenient, nondestructive, and noncontact technique
                  crystals, spin wave) [1]. Neutron techniques can be  not requiring pre-treatments of the specimen, which
                  applied not only on inorganic crystals but also a wide  enables the investigation of intermediate-range order
                  variety of materials such as organic crystals, biomate-  and formation phases in nanoparticles, where the
                  rials, polymers, magnetic materials, amorphous mate-  degree of long-range order is low, and the study of
                  rials and liquids. The research of the nanoparticle by  molecular species absorbing on the surface of materi-
                  using the neutron techniques will become more active  als. In many cases, Raman data can be collected at
                  in the future.                                 room temperature at atmospheric conditions.
                                                                  Raman scattering light with longer wavelength
                                                                 (frequency     ) is called Stokes light and that with
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                                   References                    shorter wavelength (frequency     ) anti-Stokes light.
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                                                                 The anti-Stokes intensity is much lower than the Stokes
                  [1] For example, N. Niimura: Lectures for Experiments in  intensity. The frequency (energy) shift   is attributed to
                     Chemistry, Vol. 10,  Diffraction, Maruzen Publishing,  the transfer of energy due to the lattice vibrations
                     Tokyo, pp. 481–548 (1992).                  (phonon), molecular vibrations, rotation of molecules
                  [2] M. Yashima: J. Jpn. Soc. Neutron Sci. (Hamon), 14 (1),  and electronic transitions. Thus, one of the unique char-
                     17–21 (2004) and some papers in this number.  acteristics of the Raman scattering technique is the
                  [3] M. Yashima:  J. Crystallogr. Soc. Jpn.,  44, 121–126  investigation of each vibration and each bonding. In a
                     (2002).                                     Raman spectrum, scattering light intensity is plotted
                  [4] M. Yashima:  J. Crystallogr. Soc. Jpn., 46, 232–237  against the shift of frequency (energy) (unit is cm  1  or
                     (2004); M. Yashima, K. Nomura: Electrochemistry, 73,  eV). Raman spectrum is strongly dependent on crys-
                     71–76 (2005).                               talline phases. For example, as shown in Fig. 5.2.8, the
                                                                 Raman spectra of monoclinic, tetragonal, and cubic zir-
                                                                 conia phases are very different from each other, thus,
                  5.2.4 Raman scattering [1–5]                   the Raman spectrum enables the phase identification
                                                                 [4, 5]. Note that in Raman scattering, the Raman
                  Raman effect is a phenomenon in which the scattered  signals must be distinguished from other scattering
                  light includes components whose frequencies shift by  lights such as fluorescence. To prevent invalid interpre-
                    peculiar to the material from the incident light  tation (e.g., a fluorescence is regarded as a Raman sig-
                  frequency    (frequency       ) when the incident  nal), it is useful to measure the Raman spectra with a
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                  light with frequency   is irradiated to the material.  different excitation wavelength [5].  We should care-
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                  Raman scattering is a characterization technique for  fully examine the signals. It is useful to check the anti-
                  materials, which applies the Raman effect. This tech-  Stokes Raman signal corresponding to the Stokes
                  nique is applicable to not only crystals but also to a  Raman peak. Raman spectra have a lot of information,
                  variety of materials such as amorphous materials,  but you should interpret them very carefully.
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