The electrical double layer on oxides: Specific adsorption of chloride and methylviologen on ruthenium dioxide

The double-layer properties of colloidal RuO₂, prepared by thermal decomposition of RuCl₃ at 420°C, have been studied by potentiometric acid-base titrations in combination with electrophoretic mobility measurements. The point of zero charge (pzc) in KNO₃ solutions was found to be pH 5.75 ± 0.05, and the isoelectric point (iep) is positioned at pH 5.8. From the total capacitance of the double layer at the pzc an electrochemical surface area of 21.5 m²/g has been found, which is equal to the BET surface area. The capacitance of the inner part of the double layer (C_i) is 300 μF/cm², which is high compared to C_i on AgI and Hg, but of the same order as that commonly found for oxides. This subject is briefly discussed. The surface charge (σ₀) as a function of pH could be fitted satisfactorily with a simple double-layer model. In the presence of KCl the pzc and the iep are shifted to higher and lower pH, respectively, indicating specific adsorption of Cl⁻ ions. The ionic composition of the double layer as a function of σ₀ and the specific adsorption of Cl⁻ at the pzc have been calculated by a straightforward thermodynamic analysis combined with diffuse double-layer theory. Methylviologen (MV²⁺) also adsorbs specifically and at negative surface charges superequivalent adsorption can take place. In the presence of an excess of KNO₃, specific adsorption of MV²⁺ is no longer noticeable. Some consequences for the catalytic reduction of water by RuO₂ in the presence of MV²⁺ are considered.     

An improved error bound for a finite element approximation of a model for phase separation of a multi-component alloy

Using the approach of Rulla (1996 SIAM J. Numer. Anal. 33, 68-87)for analysing the time discretization error and assuming moreregularity on the initial data, we improve on the error boundderived by Barrett and Blowey (1996 IMA J. Numer. Anal. 16,257-287) for a fully practical piecewise linear finite elementapproximation with a backward Euler time discretization of amodel for phase separation of a multi-component alloy.     

Adsorption from mixtures containing mono- and bivalent cations on insoluble oxides and a revision of the interpretation of points of zero charge obtained by titration

Acid—base potentiometric titrations of haematite (α-Fe₂O₃) suspensions in mixtures of the non-specifically adsorbing electrolyte KNO₃ and the nitrates of the specifically adsorbing ions Ca²⁺, Cd²⁺ and Pb²⁺ show that the cross-over point of the titration curves, plotted as σ₀(pH), can be interpreted as the point of zero charge (pzc) only if there is no specific adsorption or if the amount of specifically adsorbed cations is so small that all of it is quantitatively adsorbed. This finding implies that the usual procedure for obtaining the pzc from cross-over points of titration curves must be reconsidered in the case of specific adsorption. In reality an Esin—Markov coefficient is measured, the relation of which to the surface charge requires further thermodynamic analysis.     

The first step in layer-by-layer deposition: electrostatics and/or non-electrostatics?

A critical discussion is presented on the properties and prerequisites of adsorbed polyelectrolytes that have to function as substrates for further layer-by-layer deposition. The central theme is discriminating between the roles of electrostatic and non-electrostatic interactions. In order to emphasize this feature we refrain from discussing practical problems sometimes incurred in polyelectrolyte adsorption like freezing-in of non-equilibrium situations, patchwise attachment, unclear chemistry and only consider solid substrates. Although it is in principle ambiguous to discriminate between coulombic and non-coulombic or "chemical" interactions, it will be shown that, as a rule, non-coulombic contributions to the interactions cannot be neglected. They are responsible for the familiar overcharging. For obtaining more insight, it is recommended to consider electrometric techniques such as electrokinetics, conductometry and potentiometry, in combination with other analytical techniques applied to well-defined systems, for which various parameters can be modulated in a systematic way.     

Metal- and proton-binding properties of a core-shell latex: interpretation in terms of colloid surface models

The cadmium binding properties of a core-shell latex were investigated using differential pulse polarography. The latex particles have a polystyrene core which is surrounded by a hydrophilic shell containing a low density of sulphonic and carboxylic groups. For this core-shell latex dispersion, the binding of protons and metal ions can be analyzed reasonably well using Donnan's potential model [J.T. Davies and E.K. Rideal, Interfacial Phenomenon, Academic Press, New York, 1961]. However, the correction of Ohshima and Kondo [H.O. Ohshima and T. Konda, Biophys. Chem., 39 (1991) 181] of the Donnan model for the distribution of ions in the double layer near and in the shell is a real improvement. In this way, the binding constants of cadmium(II)with the surface groups of latex were separated into their intrinsic and electrostatic parts. The intrinsic constant for binding of cadmium(II) to carboxylic groups, obtained in this way, was similar to literature values.     

Titration microcalorimetry of poly(vinylpyrrolidone) and sodium dodecylbenzenesulphonate in aqueous solutions

Microcalorimetric titrations are carried out on solutions containing the anionic surfactant sodium dodecylbenzenesulphonate (SDBS), and mixtures of SDBS and the uncharged polymer poly(vinylpyrrolidone) (PVP). Measurements are taken at different temperatures. Micellisation of SDBS is driven by hydrophobic bonding. The interaction enthalpy of mixed PVP/SDBS systems shows clearly a consecutive endothermic and exothermic region with increasing surfactant concentration. The endothermic part can be looked upon as an incremental binding isotherm and reflects the number of surfactant molecules involved in the association process. The exothermic region features inverse hydrophobic bonding behaviour. This is related to the flexible nature of the adsorbent, i.e. the polymer. Electrostatic repulsion between neighbouring surfactant molecules causes at increased surfactant concentrations structural rearrangements of the polymer-surfactant complexes. This is accompanied by losing inter- and intrachain linking and entropy gain since the expanded complexes can move more freely. Additional surfactants continue to adsorb on the vacant hydrophobic adsorption sites. The influence of the initial amount of polymer and the electrolyte concentration support our proposals.     

Surface tension of aqueous electrolyte solutions. Thermodynamics

A thermodynamic theory is developed for obtaining the enthalpic and entropic contributions to the surface excess Gibbs energy of electrolyte solutions from the dependence of the surface tension on concentration and temperature. For elaboration, accurate activity coefficients in solution as functions of concentration and temperature are required. The theory is elaborated for (1-1) electrolytes and applied to HClO(4), HNO(3), NaCl, NaBr, and LiCl, of which the first two adsorb positively and the other three negatively. One of the conspicuous outcomes is that in all cases, the surface excess entropies slightly decrease with electrolyte activity but remain close to that of pure water, whereas the enthalpy is different from that. The implication is that the driving force for positive or negative adsorption must have an enthalpic origin. This finding can be useful in developing and evaluating theoretical models for the interpretation of surface tensions of electrolyte solutions.