The great Dutch school of colloid science of Kruyt, Overbeek, and others developed theoretical and experimental models of the silver halidewater interface. Potentiometric titrations, electrokinetic measurements, and coagulation kinetics set high standards of experimentation. They, further, led to the development of theoretical models, mostly thermodynamic, of the silver halideaqueous electrolyte interface, which allowed quantitative understanding of experimental results. The fundamental step was to recognize that silver and halide ions, as potential-determining ions, controlled the Nernst potential of the interface. At ca. 25°C, as the concentration of silver ions in the bulk solution changed by a factor of 10, the potential of the silver halidewater interface changed by 59 mV. Colloid scientists across the globe in the post-1948 era, additionally wished to understand the properties of colloidal dispersions of simple inorganic oxides such as silica, hematite, and alumina, and more recently, the properties of "latex" particles. In short, it became difficult to apply the theories that allowed understanding of the silver halidewater interface to the understanding of the properties of latex, oxides, and similar colloidal dispersions. Finally, a very recent resurgence in the interest in the electrical double layer (e.d.l.) at the airwater and oilwater interface has fuelled the discussion on the ubiquitous role of protons as potentialdetermining ions (p.d.i.'s) on interfaces ranging from oxides, to lattices, close packed monolayers, and oilwater and air water interfaces. We explore the new thinking on all of these aqueous interfaces.
Ç IntroductionFor many years, researchers wishing to understand the interface between inorganic oxides (e.g., SiO 2 , TiO 2 , and Al 2 O 3 ) and aqueous solutions have used a model that describes the ionization of surface hydroxy sites. An undecorated description of this model begins with the surface equilibria:where K + and K ¹ are defined asHere (aH + ) s is the activity of protons at the surface, and N + , N 0 , and N ¹ are the number of positive, neutral, and negative sites, respectively, where the total number of sites in the undecorated model isAt the pH of the isoelectric point/point of zero charge (i.e.p./ p.z.c), (pH 0 ), N ¹ = N + , such thatandThe total surface charge iswhere e is the electronic charge. The activity of protons at the surface is given by the Boltzmann equation aswhere ¼ 0 is the total double layer potential, k is the Boltzmann constant, and T is the temperature. The simple electrical double layer model iswhere more complete models would be represented aswhere · β , is the Stern layer charge, which is populated, in simple electrolyte systems, with bound anions and cations such as Na + and Cl ¹ . For the present discussion, the model we use, i.e., more or less decorated, is not important.If ¼ N is the potential given by the Nernst equation, thenThis non-Nernstian term is a function of ¦pK « , supporting electrolyte concentration, and the total number of su...