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218  Colloid  stability

                                     105
        Table 8.3  Values of Hamaker constants
        Material              AH  (microscopic)      AH  (macroscopic)

                                     20
                                   1(T  J                 10"
        Water                     3.3-  6.4              3.0-  6.1
        Ionic crystals           15.8-41.8               5.8-11.8
        Metals                    7.6-15.9              22.1
        Silica                   50                      8.6
        Quartz                   11.0-18.6               8.0-  8.8
        Hydrocarbons              4.6-10                 6.3
        Polystyrene               6.2-16.8               5.6-  6.4




                   %
        (a)  (T)(T ,              (T
            V_x  < ».... /        V^
        |b|
           O©                     ©0

        Figure 8,1


        the  interactions  are  particle-dispersion  medium  interactions,  with
        Hamaker  constants  A 13  and  A 23.  K  particle  2  is  brought  close  to
        particle 1 (Figure 8.1b), dispersion  medium must be displaced to the
        position  originally  occupied  by particle 2 and the  above interactions
        are  replaced  by particle-particle  and dispersion  medium-dispersion
        medium  interactions,  with  Hamaker  constants  A\ 2  and  A 33.  The
        effective  Hamaker constant is, therefore, given by

               32                                              (8.11)

        If the  attractions between unlike phases is taken to be the geometric
        mean of the attractions of each phase to itself  (cf . equation 4.3) -  i.e.

        equation  (8.11)  becomes

             ^02  =  (Aft  -  A£)  (A£  -  A&)                 (8.12)
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