Page 212 - Book Hosokawa Nanoparticle Technology Handbook
P. 212

FUNDAMENTALS                                           CH. 4 CONTROL OF NANOSTRUCTURE OF MATERIALS
                  deposition is due to the coagulation by the van der  between the particles is weak; it may cause slip-off of
                  Waals attraction accompanied by the drop of the repul-  the deposits when the applied dc is turned off.
                  sive potential at an electrode. Figure 4.2.13 shows the  The weight of deposit, W(g), during electrophoretic
                  electrophoresis of particles and electric field lines dur-  deposition is estimated based on the mass balance law
                  ing electrophoretic deposition between a pair of cylin-  of Hamaker [1];
                  drical electrodes. The surface-charged particles do not
                  take the shortest straight route but move along the elec-      dW

                  tric field lines to an oppositely charged electrode in a       dt     fCES           (4.2.4)
                  liquid. Therefore, the particles deposit even on the back
                  of a substrate. This characteristic enables the EPD to  where t is the deposition time (s),   the electrophoretic
                  make uniform surface coating on a substrate with  mobility (m /Vs), E the electric field strength (V/m), C
                                                                          2
                  uneven surface and complex shape.                               3
                                                                 the solid loading (g/m ), S the surface area of the elec-
                                                                       2
                                                                 trode (m ), and f the sticking probability of the particles
                  1. Kinetics of EPD processing
                                                                 that arrived at the substrate (0   f  1). The electric
                  Figure 4.2.14 shows the electrophoresis of the particles  field strength E is given by the following equation with
                  and ions in a suspension under applying dc field. The  the current flowing through the circuit  I(A) and the
                  charged particles attract oppositely charged ions, i.e.,  conductivity of the suspension   (S/m).
                  counterions, around themselves; this “atmosphere”
                  plus the particle is the “lyosphere”.  When the lyos-                 I
                  pheres reach the cathode, the double layer is thinned. If        E                   (4.2.5)
                  the particles are close enough to each other, attractive             S
                  forces dominate and coagulation/deposition occurs.
                  During the local lyosphere thinning and coagulation,  The  E changes during the deposition.  The applied
                  the still-charged particles are thrust into the substrate  potential to the circuit V is consumed by the potential
                                                                                    a
                  due to the electric-field force. In the case that the drop  drops at both anode and cathode, and the ohmic loss
                  of repulsive potential is insufficient, the attractive force  over the deposit and suspension. The V is given as;
                                                                                                a
                                                                 V   Δ  anode    IR ( d    d    IR d     cathode  (4.2.6)

                                                                                     )
                                                                                           s
                                                                                     s
                                                                                          s
                                                                              sus
                                                                  a
                                                                 where      and        are the potential drops (V)
                               i             i                          anode     cathode
                                                                 at the anode and cathode, respectively, R sus  and R are
                                                                                                        s
                                                                 the specific resistance ( /m) of the suspension and
                                       i                         deposit, respectively, and d and d the electrode dis-
                                                                                            s
                                                                 tance and the deposit thickness (m), respectively.
                                i         i                      Under the deposition of constant voltage mode, the
                                                                 progress of deposition can be monitored indirectly by
                                   i                             checking the decrease of current with time which is
                                                                 caused by the IR drop. Under the deposition of con-
                                i
                                            i                    stant current mode, the progress can be monitored by
                                                                 checking the increase of voltage.
                                                                 2. Preparation and evaluation of suspension
                                                                 For the EPD processing, optimization of the
                                                i
                                                                 colloidal suspension is very important.  Aqueous
                                                  i
                               i           i                     suspensions are generally used for conventional col-
                                      i                          loidal processing since an aqueous system has the
                                                                 advantages of low-cost processing, lower electrical
                             i         i
                                   i                             potential requirement, and lower environmental
                                                   i
                                               i                 cost, however, non-aqueous suspensions are usually
                               i                                 preferred for EPD to avoid the electrolysis of the
                                                  i
                                                                 solvent and obtain a bubble-free deposit. It is essen-
                                                                 tial that the colloidal particles in a solvent should be
                                                                 electrostatically stabilized for the electrophoresis.
                                                                 The charge on a colloidal particle could originate
                        ds            d-ds                       from various sources. Dissociation or ionization of
                                                                 surface groups on the particles is commonly observed
                  Figure 4.2.14                                  with adsorbed carboxylic acid, amine, and oxide sur-
                  The electrophoresis of the particles and ions in a  faces. In these systems, the degree of charge devel-
                  suspension under applying DC field.            opment and its sign depend on the pH of the solution.
                  188
   207   208   209   210   211   212   213   214   215   216   217