Page 196 - Introduction to Colloid and Surface Chemistry
P. 196

Charged  interfaces  185
                                          181
        iodide-aqueous  electrolyte  interfaces .  If  the  double  layer  is
        treated  as two capacitors  in series, then
             t    1   1


        The  capacity  C 2  of  the  diffuse  part  of  the  double  layer  can  be
        calculated.  At  low potentials  (see equation  (7.9)):




                        2
                  (    -z   \*      2
             - 2.28 - - — -    F m~  for aqueous electrolyte at 25° C
                  ^ mol dimf  )
        The  capacity  of  the  Stern  layer  (C!  =  e'/d)  does  not  depend  on
        electrolyte concentration  except  in so far as e'  is affected.  In the  case
        of  the  silver  iodide-aqueous  electrolyte  interface,  Stern  layer
                                   2
        capacities  of c. 0.1 to 0.2 F m~  have been calculated; taking 8 = 5 x
            10
        10~  m, this corresponds  to a dielectric constant in the Stern layer of
        c.  5-10, which, compared  with  the  normal value of c. 80 for water,
        r.uggests  considerable  ordering  of  water  molecules  close  to  the
        surface.

        Stern potentials and electrokinetic  (zeta) potentials

           can  be  estimated  from  electrokinetic  measurements.  Electrokinetic
        ij/ d
        behaviour  (discussed  in  the  following  sections  of  this  chapter)
        depends on the potential  at the surface of shear  between the charged
        surface  and  the  electrolyte  solution.  This  potential  is  called  the
        electrokinetic  or  £ (zeta)  potential.  The  exact  location  of  the  shear
        plane  (which, in  reality, is a  region  of  rapidly changing viscosity) is
        another  unknown feature of the electric  double layer. In addition to
        ions in the  Stern  layer, a certain amount of solvent  will probably  be
        bound  to  the  charged  surface and  form  a part  of  the  electrokinetic
        unit.  It  is,  therefore,  reasonable  to  suppose  that  the  shear  plane  is
        usually  located  at  a small distance further  out  from  the  surface than
        the  Stern  plane  and  that  £  is,  in  general,  marginally smaller  in
        magnitude than  tf/ d  (see  Figures 7.2 and  7.3).  In  tests of double-layer
        theory it is customary to  assume identity of  i^ d and  £, and the  bulk of
        experimental  evidence  suggests  that errors  introduced  through this
        assumption  are  usually  small, especially at  lyophobic surfaces.  Any
   191   192   193   194   195   196   197   198   199   200   201