Page 231 - Introduction to Colloid and Surface Chemistry
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220  Colloid  stability




















                          Distance between  particles  (H)

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        Figure  8.2  Total  interaction  energy  curves,  V(l)  and  V(2),  obtained  by  the
        summation  of  an  attraction  curve,  V A,  with  different  repulsion  curves,  V R(1)  and

          If  the  potential  energy  maximum  is  large  compared  with  the
        thermal  energy  kT  of  the  particles,  the  system  should  be  stable;
        otherwise,  the  system  should  coagulate.  The  height  of  this  energy
        barrier to coagulation  depends  upon the magnitude of  </r d (and £)  and
        upon  the  range  of  the  repulsive  forces  (i.e. upon  I/K),  as shown  in
        Figures  8.3 and 8.4.
          Figures 8.3 and 8.4 show potential  energy maxima at  inter-particle
        separations  of a few nanometres.  Surface roughness of at least  up  to
        this  magnitude  is,  therefore,  unlikely  to  invalidate these  potential
        energy calculations.

        Secondary  minima

        Another characteristic feature of these  potential energy curves is the
        presence  of  a  secondary  minimum  at  relatively  large interparticle
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