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3.1 INTRODUCTION OF NANOPARTICLE DISPERSION AND AGGREGATION BEHAVIOR         FUNDAMENTALS
                  low solid fraction about 20–30 vol%. If solid fraction
                  is not so high, less than 10%, it is possible to control       Free Si-OH (3750 cm )
                                                                                               -1
                  aggregation and dispersion behavior by using DLVO               H-bonded Si-OH (3660 cm )
                                                                                                     -1
                  type interaction, however, with increase of solid frac-
                  tion in suspension, the additional repulsive interaction
                  is needed to disperse nanoparticles.
                    In order to produce the steric repulsive force for the                       260 nm
                  dispersion of particles at relatively high solid fraction
                  condition, surface modification by the adsorption of
                  surfactant or reaction with silane coupling agent is
                  generally used. Special consideration on such tech-  Absorbance                 87 nm
                  nique is necessary for the nanoparticles. For example,
                  the molecular weight of polymer dispersant is gener-               60 nm
                  ally recommended at about 10,000 g/mol for the dis-
                  persion of fine powder with submicronmeter in
                  diameter. Since the size of dispersants with such                               30 nm
                  molecular weight is ranging from several angstroms
                  to several nanometers in liquid, it is difficult for them
                  to enter between the particle surfaces as estimated in
                  Fig. 3.1.2. Furthermore, since such large dispersants                     8 nm
                  have almost equivalent size to the nanoparticles, poly-
                  mer dispersants sometimes form bridge between par-  4000    3600     3200    2800
                                                                                             -1
                  ticles, and promote the aggregation of particles and          Wavenumbers (cm )
                  consequently suspension viscosity increases.  The
                  detail examples will be introduced in Section 3.7.2.   Figure 3.1.3
                                                                 Effect of particle diameter on FT-IR spectrum (prepared by
                                                                 Stöber method).
                  3.1.4. Surface molecular-level structure of
                  nanoparticles [3]
                                                                 between O and H atoms in neighboring Si–OH group
                  Surface molecular-level structure also changes with  increased from 3.0 to 3.17 Å as particle size decreased
                  decrease of particle size down to nanometer scale. For  from several hundreds nanometer to 8 nm. If the dis-
                  example, Stöber’s process is a very popular method to  tance between O and H atoms changed by 0.2 Å, the
                  prepare uniform spherical alkoxide-derived silica parti-  potential energy would have decreased about 20 %, as
                  cles. The particle diameter of the silica was controlled  calculated from an ab initio study [4] of the interaction
                  by the concentration of the catalyst. Fig. 3.1.3 shows  of molecular hydrogen with isolated silica.
                  the influence of silica particle diameter on FT–IR spec-  Furthermore, in the classical Lennard–Jones potential
                  tra in the fundamental absorption region from  between molecules, the attractive van der Waals poten-
                                           1
                  wavenumber 2,000 to 4,000 cm . Absorption bands of  tial varies with inverse-sixth power of the distance.
                  free and hydrogen-bonded silanol groups are present.  The effect of the distance between O and H on the
                  The free silanol band at wavenumber 3,750 cm  1  attractive potential was calculated from the change of
                  decreased with increasing particle diameter, almost  mean distance with particle diameter by using
                  disappearing for the 260-nm particle. In contrast, the  Lennard–Jones potential and shown in Fig. 3.1.4. The
                  ratio of adsorption of the hydrogen-bonded silanol  attractive potential of each particle, E, has been made
                  band at wavenumber 3,660 cm  1   to that of the free  dimensionless in the energy in case of the plane, E .
                                                                                                          0
                  group increased with increasing particle diameter. This  For example, the attractive potential between O and H
                  tendency was recognized also in the silica particles pre-  atoms decreased about 28% as a result of calculation
                  pared by other methods.                        of (3.17/3.0)  6    0.714 based on the L.-J. potential as
                    Changes of the silanol group structure with decreas-  particle size decreased from several hundreds nanome-
                  ing particle diameter seem to relate to the distance  ters to 8 nm. Such a decrease in potential energy, how-
                  between neighboring silanol groups. Increasing the  ever, is not sufficient to explain the increase in isolated
                  distance between neighboring silanol groups pro-  silanol structures. The additional mechanism was the
                  moted the formation of free silanols. The calculated  formation of a relatively loose structure on the surface
                  effect of curvature on the distance between neighbor-  of the ultrafine silica powder. The density of amor-
                                                                                         3
                  ing silanol groups is shown in Fig. 3.1.4. The bonding  phous silica is about 2.2 g /cm , however, the density
                  angle of silanol groups was fixed at 104 degrees, and  of ultra-fine silica powders had a lower value [3].
                  the distance between neighboring Si atoms was calcu-  On the basis of the above research, for relatively large
                  lated from curvature and the mean density of amor-  particles, since the hydrogen bond between O–H in the
                                     3
                  phous silica (2.2g/cm ).  The calculated distance  silanol promoted polarization in the other O–H group,
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