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126   Principles and Methods


            55 atoms Rh fcc cluster           Planar defect












                                    x
            x
                                z
        z
                                 y
          y
        Figure 4.13 Images of a stable structure composed of 55 atoms and
        one with a planar defect that can be identified with HRTEM images.
        These two pictures show a hard-ball model of the structure (adapted
        from Marın-Almazo et al., 2005).

        instance, using TEM, Hiutsunomiya and Ewing [2003] found that
        airborne particulates (d < 2 µm) from coal-fired power plants contained
        1 to 10 ppm of uranium using HAADF-STEM images and that the ura-
        nium was located in nanoparticles (d < 10 nm) as uraninite (UO ). These
                                                                 2
        nanoparticles were encapsulated in graphite, which may retard oxida-
        tion of the tetravalent uranium to the more mobile hexavalent form.
          Spatially resolved EELS has been used to study the morphology of
        carbon nanotubes [Stephan et al., 2001]. EELS results demonstrated
        that even for tiny nanotubes the covalent nature of the chemical bonds
        is preserved, whereas near-field EELS pointed out the specific charac-
        ter of the surface valence electron excitation modes in nanotubes in
        relation with their curved anisotropy.
          AFM/STM
          Operating principles. The invention of the atomic force microscope (AFM)
        in 1982 is considered one of the most important instrumental break-
        throughs in the development of nanoscience. The AFM provides a means
        both to characterize the physical properties of materials at the atomic
        scale and to measure forces between surfaces with piconewton resolu-
        tion. The operating principles of both the AFM and the scanning tun-
        neling microscope (STM) may be described in terms of an optical lever
        acting as a sensitive spring. The optical lever operates by reflecting a
        laser beam off the end of a cantilever, typically made of silicon or sili-
        con nitride, at the end of which is attached a tip or probe. Angular
        deflection of the tip causes a twofold larger angular deflection of the laser
        beam. The reflected laser beam strikes a position-sensitive photo-detector
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