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1.9 SURFACE CHARACTERISTICS                                                  FUNDAMENTALS

                                                            Surface



























                  Figure 1.9.1
                  Surface and inside of solid.

                         Na +                                    the surface varies above and below the lattice points
                     Cl −                           the 1st layer  expected as bulk. On the outmost surface layer of

                                                    (the outmost  crystal (100) face, anions Cl polarized by adjacent
                                                    surface layer)
                                                                 cations Na move toward outer side, in contrast the
                                                    the 2nd layer  cations move toward inner side: this forms an electric
                                                                 double layer and consequently make the ions stabi-
                                                    the 3rd layer  lized. Thus, the central positions of the both ions are
                                                                 not in the same plane. The gap between the 1st and
                                                    the 4th layer  2nd surface layers, of which position is deduced from
                                                                 the average position of the both ions forming surface
                                                    the 5th layer  asperity, is compressed and shorter than the gap
                                                                 between layers inside the crystal. For the NaCl crys-
                                                    the 6th layer  tal, it is said that such variation in lattice points would
                                                                 reach to even the 5th layer.
                                                    the 7th layer  Supposing a nanocrystal particle consisting of 10
                                                                 layers, all the lattice gaps vary from the usual lattice
                                                                 gap. This is nothing but the change in the shape of
                  Figure 1.9.2                                   electron cloud. Therefore, the value of the band gap
                  Physical relaxation model on NaCl (100) face: dotted lines  may vary for semiconductive particles. Also, abnor-
                  indicate position of ions for inner crystal lattice.
                                                                 mity in melting point or solubility of nanoparticles
                                                                 may be understood by similar reasons above. These
                    As the bonds are broken up on the solid surface, the  are a part of surface scientific interpretations to quan-
                  atoms, ions and molecules on the surface are subject  tum size effect for nanoparticles.
                  to asymmetric interaction forces, as shown in   Data relating to physicochemical relaxation phe-
                  Fig. 1.9.1. In the case of crystal materials, it is known  nomena are shown in Table 1.9.1 [5]. For the crystal
                  that the position of atoms (or ions) located on the sur-  face (001) of MgO which has a higher hardness and a
                  face varies from that expected by periodicity of atoms  larger bonding energy as compared to other ionic
                  (or ions) inside the crystal. This is the physical surface  crystals of halogenated alkali, the distance between
                  relaxation.                                    ions of the 1st and 2nd surface layer is compressed to
                    For example as shown in Fig. 1.9.2 [4], on the sur-  around 85 % of the distance for the bulk. Manner of
                  face of halogenated alkali which is an ionic crystal  surface relaxation changes presumably due to differ-
                  material, vertical position of cations and anions near  ences in ion species, coordination number, crystal

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