186 Charged interfaces
difference between ^d and £ will clearly be most pronounced at high
potentials (£ = 0 when «/fd = 0), and at high electrolyte concentration
(compression of the diffuse part of the double layer will cause more
of the potential drop from «/fd to zero to take place within the shear
plane), The adsorption of non-ionic surfactant would result in the
surface of shear being located at a relatively large distance from the
Stern plane and a zeta potential significantly lower than <^d.
Surface potentials
For an interface such as silver iodide-electrolyte solution the electric
potential difference between the solid interior and the bulk solution
varies according to the Nernst equation:
d<b -2.303 RT
v (= _ 59 mV at 25°C)
d(pAg) F
<f> is made up of two terms, «/» 0 and %• Changes in the x (chi)
potential arise from the adsorption and/or orientation of dipolar (e.g.
solvent) molecules at the surface or from the displacement of
oriented dipolar molecules from the surface. Such effects are difficult
to estimate. It is often assumed that x remains constant during
variations of the surface potential and that an expression such as
-2.303 RT
d(pAg) F
is justified. It is also assumed in this expression that no double layer
occurs within the solid; this may not be so, since the excess Ag+ (or
I~) ions of the silver iodide particle do not necessarily all reside at the
particle surface. The zero point of zeta potential (which is a
measurable quantity, pAg 5.5 at 25°C for Agl in aqueous dispersion
medium) can be identified with fa = 0 if specific adsorption of non-
potential-determining ions is assumed to be absent, fa can, therefore,
be calculated for a given pAg on the basis of the assumptions outlined
here.
Experimentally I —J is found to be about ~40 mV at
25°C for silver iodide^90 (Figure 7.4) and silver bromide^182 hydrosols
prepared by simple mixing, and not -59 mV. Assuming that £ can be