Page 273 - Book Hosokawa Nanoparticle Technology Handbook
P. 273

FUNDAMENTALS                                           CH. 4 CONTROL OF NANOSTRUCTURE OF MATERIALS
                                                                 thermodynamic stability of the colloidal system con-
                                                                 sisting of a one-component system.  The boundary
                              Double-layer repulcion (V )        range of the solid loading between the colloidal liquid
                                               R
                                                                 (fluid suspension) and colloidal solid with a high vis-
                                 Energy barrier
                                                                 cosity is approximated by the range between the solid
                                                                 loading showing a secondary minimum and energy
                                  Total energy, V  (=V +V )      barrier as shown in Fig. 4.5.38. It is seen from Fig.
                                                  A
                                               R
                                            T
                           V
                                                                 4.5.41, that even at the same surface potential energy,
                     Interaction energy                          the range of the colloidal liquid becomes narrow as
                            max
                                                                 the particle size becomes smaller. In other words, if
                                                                 the particle size becomes smaller, the viscosity of the
                                                                 suspension becomes higher and loses its fluidity;
                                        Secondary minimum
                                                                 therefore, each particle cannot rearrange into a dense
                                                                 packing, which indicates the difficulty in obtaining a
                             van der Waals attraction (V )       dense green body using nanosized particles.
                                               A
                                                                  Figure 4.5.42 shows the relationship between the
                                                                 applied pressure and relative density of the green body,
                                                                 in which various types of suspensions of   -alumina
                         Primary minimum
                                                                 particles with a 0.4  m diameter and boehmite (alu-
                                                                 minium hydroxide) particles with a 20–30nm diameter
                                     Distance x                  were prepared by adjusting the pH and consolidating
                                                                 by pressure casting [I.A. Aksay: Private communica-
                  Figure 4.5.40
                  Interparticle potential energy curve.          tion]. The pressure dependence of the green density is
                                                                 not observed for the well-dispersed suspension pre-
                                                                 pared at pH 3. However, a high pressure is necessary
                                                                 to obtain a high green density for the flocculated sus-
                                                                 pensions, but the density is lower than that of the well-
                                                                 dispersed one. Also, a higher pressure is necessary for
                                                                 the pressure casting of nanosized particles, but the
                                                                 green density is much lower than that for the sub-
                                                                 micron sized particles. For the nanosized particles,
                                                                 the results indicate that the range of c.l. is narrow and
                                                                 the dispersion by a pH adjustment is difficult.














                  Figure 4.5.41
                  Metastable phase diagram for one-component colloidal
                  systems of particles with the diameter of 1 and 0.1 
m
                  based on a simple cubic model, in which c.l. and c.s.
                  indicate the colloidal liquid and colloidal solid,
                  respectively.
                                                                 Figure 4.5.42
                  according to Hirata’s method based on a simple cubic  Relation between applied pressure of pressure casting and
                  model [5]. The case where particle diameters are 1  relative green density pressure-casted from the suspension
                  and 0.1 
m is shown. Here, the interparticle potential  of sub-micron sized alumina and nanosized boehmite
                  energy is equivalent to the free energy describing the  prepared by changing the pH.

                  248
   268   269   270   271   272   273   274   275   276   277   278