Faradaic double layer depolarization in electrokinetics: Onsager relations and substrate limitations

More often than not, the measurement of interfacial potentials by means of electrokinetic techniques is affected by interfering processes that may relax or even annihilate their primary response function. Among these processes are faradaic ones, provided that the substrate is sufficiently conducting and a redox function is available, and non-faradaic ones, if geometrical constraints are in effect. Ample experimental evidence is available, e.g., in the collapse of streaming potentials generated by metal/electrolyte solution interfaces, the bipolar microelectrodic redox processes in fluidized beds of metallic particles, and the "superfast" electrophoresis of dispersed ion exchanger particles and electron-conducting particles. Common feature of these apparently disparate phenomena is that the lateral electric field is affected by coupling with transversal depolarization fields, or by conductance gradients due to Donnan effects. Recent work has rigorously analyzed the deformation of the lateral electric field in a (streaming potential) slit cell by electron transfer reactions at the interface, taking into account both convective diffusion of the electroactive species and kinetics of the interfacial electron transfer reaction. Here a common, generic basis for faradaic and non-faradaic double layer depolarization is formulated along the lines set by Onsager, and methodologies for retrieving the underlying electrokinetic parameters from experimental data are evaluated. Particular attention is paid to the limitations of double layer polarization, as posed by the substrate.     

Application of surface-enhanced Raman spectroscopy to mechanistic electrochemistry: Oxidation of iodide at gold electrodes

The electrooxidation of dilute (1 mM) iodide at the gold-aqueous interface has been examined by rotating disk voltammetry combined with surface-enhanced Raman spectroscopy (SERS) in order to identify the surface species formed and hence to shed light on the electrooxidation mechanism. Marked changes in the SER spectra occur upon shifting the electrode potential through the region where faradaic current flows, the characteristic 123 and 158 cm⁻¹ bands associated with adsorbed iodide being supplemented and eventually supplanted by bands at 110, 145 and 160–175 cm⁻¹, the latter two being especially intense. The new bands are assigned to higher polyiodides and molecular iodine. The latter species appears to be the major interfacial product associated with faradaic current flow. Iodide forms an irreversibly adsorbed and electroinactive layer at gold in the absence of solution iodide, as evidenced by the survival of the 123 and 158 cm⁻¹ SERS bands even at far positive potentials under these conditions. The results obtained for dilute iodide solutions are compared and contrasted with those obtained at higher iodide concentrations. For the latter conditions, the observed “surface” Raman spectra arise from resonance enhancement of the thick insoluble iodine films and solution triiodide formed in the convective diffusion layer rather than from SERS of species present in the double layer. Criteria for distinguishing between these two possibilities for systems involving such electrogenerated species are described.     

Electrokinetics of the amphifunctional metal/electrolyte solution interface in the presence of a redox couple

Double layers (DL) at amphifunctionally electrified interfaces, such as that of an oxidized metal in an aqueous electrolyte solution, arise from coupling between ionic and electronic surface-charging processes. The electronic component enters the double-layer formation in the well-known situation where a potential is externally applied. In that case, the DL is fully or partly polarized depending on the possibility of interfacial electron transfer, that is, a faradaic process. This paper reports on the conjunction of the chemical/electrochemical processes at the interface in the case where the solution contains a redox-active couple. This makes it possible to polarize/depolarize a DL without invoking any external circuit. Streaming potential data obtained for the gold/(Fe(CN)6(3-)/Fe(CN)6(4-), KNO3) electrolyte interface are analyzed in terms of a recently developed theory which takes into account reversible bipolar faradaic depolarization, the inherent nonlinearity of the lateral field, and the effects of flow on the rate of the faradaic reactions. It appears that the theory largely overestimates the bipolar currents, leading to physically unrealistic zeta-potentials. A careful analysis of monopolar voltammetric data reveals quasi-reversible behavior of the redox couple under the typical convective conditions and electrolyte compositions met in electrokinetic experiments. Inclusion of reduced reversibility (the extent of which is position-dependent under the streaming-potential measurement conditions) leads to a consistent set of zeta-potentials which compare well to the values for the background electrolyte.     

Square-wave amperometry

A new electroanalytical technique involving the use of two indicator electrodes polarised by a square-wave potential is described. The output signal is a de faradaic current proportional to the concentration of the electroactive species. The technique is very sensitive, shows rapid response to concentration change and the observed current is independent of stirring.     

Advantage of Fractional Calculus Based Hybrid‐Theoretical‐Computational‐Experimental Approach for Alternating Current Voltammetry

The dynamic electrochemical behavior of electroactive species is believed to be represented better by the fractional calculus, because it can consider the history of mass‐transfers of that species near the electrode surface. The elucidation of mathematical fundamentals of fractional calculus has been recently introduced for batteries, supercapacitors and a few voltammetry studies. The working equations for faradaic fundamental and second‐harmonic (SHac) components of alternating current (ac) for ac voltammetry of an electrochemically reversible redox reaction on an electrode of macroscopic diameter have been derived here by using generalized formulae of the fractional calculus. A computation code is written in Python language with a matrix based algorithm developed based on latest, accurate, efficient and stable Grunwald‐Letnikov‐Improved fractional‐order differentiation equation. That computational code is used to find the concealed faradaic fundamental, SHac components of the total current and other double‐layer parameters of experimentally recorded voltammograms of ruthenium(III/II) redox reaction on gold‐disc electrode by a common electrochemical workstation without having inbuilt Fourier transformation features. The amplitude of the computed faradaic current concealed in the experimental data gets enhanced through this hybrid theoretical‐computational‐experimental approach and thus it keeps scope of application and further improvement in electroanalysis.     

Theory of transition times: Catalysis at rotating disk electrodes

An exact solution to the problem of convective diffusion to a rotating disk electrode in the limit of high Schmidt numbers, with a prescribed initial profile and current step conditions at the surface is presented. Based on this solution a current density—transition time relationship is established which, in the limit, reduces to a previously proposed expression that accounts for experiemntally observed deviations from the Sand equation. Applications of this theory in connection with the determination of rate parameters for electroactive species undergoing a catalytic reaction at the electrode surface are discussed.     

On second-order effects in a galvanic cell: Part III. Application to modulation polarography

The simultaneous application to a galvanic cell of two sinusoidal voltages, superimposed on a linear ramp, causes a sinusoidally amplitude-modulated sine wave current to flow as a result of the non-linear behaviour of the double layer and the faradaic processes. Phase-sensitive detection of this current with two lock-in amplifiers in tandem allows a high rejection of the charging current, enabling a sensitive quantitative analysis down to concentrations well below 10^?6M.The technique also seems suitable for the study of electrode kinetics; in the absence of electroactive species it can be used in double-layer studies.     

Electrocatalysis of the SiC Particle‐Modified Glassy Carbon Electrode for the Oxidation of Adrenaline

The electrocatalytic properties of the SiC particle‐modified glassy carbon electrode (MGC) for adrenaline oxidation were studied by cyclic voltammetry (CV), double‐potential step chronocoulometry (DPSCC), and electrochemical impedance spectroscopy (EIS) techniques in McIlvaine buffer solution. It was shown that the electrode modified with SiC particles markedly displayed an electrocatalytic effect on the process of the electrochemical reaction of adrenaline, i.e., the activity and the reversibility of the MGC electrode has been significantly improved. This was attributed to the adsorption effect of the electroactive adrenaline molecules on the MGC electrode surface.     

Vertical motion of a charged colloidal particle near an AC polarized electrode with a nonuniform potential distribution: theory and experimental evidence

Electroosmotic flow in the vicinity of a colloidal particle suspended over an electrode accounts for observed changes in the average height of the particle when the electrode passes alternating current at 100 Hz. The main findings are (1) electroosmotic flow provides sufficient force to move the particle and (2) a phase shift between the purely electrical force on the particle and the particle's motion provides evidence of an E2 force acting on the particle. The electroosmotic force in this case arises from the boundary condition applied when faradaic reactions occur on the electrode. The presence of a potential-dependent electrode reaction moves the likely distribution of electrical current at the electrode surface toward uniform current density around the particle. In the presence of a particle the uniform current density is associated with a nonuniform potential; thus, the electric field around the particle has a nonzero radial component along the electrode surface, which interacts with unbalanced charge in the diffuse double layer on the electrode to create a flow pattern and impose an electroosmotic-flow-based force on the particle. Numerical solutions are presented for these additional height-dependent forces on the particle as a function of the current distribution on the electrode and for the time-dependent probability density of a charged colloidal particle near a planar electrode with a nonuniform electrical potential boundary condition. The electrical potential distribution on the electrode, combined with a phase difference between the electric field in solution and the electrode potential, can account for the experimentally observed motion of particles in ac electric fields in the frequency range from approximately 10 to 200 Hz.     

Visualization of the interfacial turbulence associated with remarkable faradaic current amplification at a polarized water/1,2-dichloroethane interface

We report the first visualization of the interfacial turbulence developed at the polarized water/1,2-dichloroethane interface in the form of rotating surface structures. This leads to a remarkable amplification of the faradaic current (polarographic maximum) associated with the transfer of the Na⁺ ion from 1,2-dichloroethane to water. Interfacial turbulence is visualized at the surface of the sessile electrolyte drop using suspended graphite microparticles as a fluid flow tracer. We show that the magnitude of the faradaic current increases as the circular surface structures rotate more rapidly. The results appear to differ from the profile of the disturbing flow near the mercury/electrolyte interface accompanying polarographic maxima of the first kind.     

Modeling of electrocatalytic processes at conducting polymer modified electrodes

A mathematical model of electrocatalytic processes taking place at conducting polymer modified electrodes has been developed. The model takes into account the diffusion of solution species into a polymer film, diffusion of charge carriers within the film, and a chemical redox reaction within the film. The space- and time-resolved profiles for reactant and charge carrier concentration within the film, as well as dependencies of electric current on the concentration of solute species, reaction rate constant and thickness of a polymer layer have been obtained and discussed. It has been shown that, even at a relatively fast diffusion of charge carriers within the conducting polymer film, exceeding the diffusion rate of reactant by two orders of magnitude, electrocatalysis of solute species at conducting polymer modified electrodes proceeds within the polymer film rather than at the outer polymer/solution interface, i.e., electrocatalytic conversion follows a redox-mechanism rather than metal-like one. Based on the results obtained, optimization of reaction system parameters could be made for any particular case to get an optimum efficiency or reactant to product conversion.      

Electrolyte effect on adsorption and the phase transition from microstructures to nanostructures in ionic/ionic surfactants mixture

The effect of salt concentration on intermicellar interactions and aggregate structures of anionic and cationic-rich mixtures of CTAB (cetyltrimethylammonium bromide) and SDS (sodium dodecyl sulfate) were investigated with conductometry, surface tension, zeta potential, cyclic voltammetry measurements and by determining the surfactant NMR self-diffusion coefficients. The critical aggregate concentration (CAC), surface excess (Γ(max)), and mean molecular surface area (A(min)) were determined from plots of the surface tension (γ) as a function of the log of total surfactant concentration. The electrochemical behavior of cationic-anionic (catanionic) mixed surfactant and self-assembled surfactant monomers at Pt wire electrode were studied by cyclic voltammetry (CV). A variation in the peak current versus the total concentration of surfactant allow us to evaluate the CAC and related parameters from regular solution theory along with the diffusion coefficient of the electroactive species. It was observed that, for both the planar air/aqueous interface and micellar systems, the nonideality decreased as the amount of electrolyte in the aqueous medium was increased. Finally, we investigated the variations of electrostatic, transfer and steric free energy in phase transition between mixed micelle and vesicle in the presence of electrolyte using the presented model by our groups.     

A non-conventional way to perform voltammetry

In a conventional voltammetric experiment, the electroactive species is dissolved in solution, and then diffuses from the solution phase to the electrode phase. In our proposed non-conventional voltammetric experiment, the electroactive species is trapped in the electrode phase instead of being dissolved in solution. A non-aqueous solvent was first used to trap the organic species in a porous surface layer and the modified electrode then transferred to an aqueous buffer to conduct voltammetry measurements.We tested the non-conventional voltammetric mode using a modified multi-walled carbon nanotube electrode containing mono-, di- and tri-nitroaromatic compounds trapped in the porous three-dimensional network of the CNTs. From these experiments, we conclude that the non-conventional mode produces higher peak currents and displacement of the peak potentials, yielding lower overpotentials. Furthermore, it is possible to obtain more selective voltammograms in the non-conventional mode, showing peaks that could not be resolved in the conventional mode.These results are due to a change in the mass transport regime, with thin layer diffusion being the main transport method in the non-conventional mode, compared to semi-infinite diffusion in the conventional mode.The proposed approach is an excellent alternative for performing voltammetric studies on insoluble or slightly soluble organic compounds.     

Factors to be considered in quantitative polarography with the rotated dropping mercury electrode

The various factors which affect limiting currents at the rotated dropping mercury electrode (RDME) are reviewed. The current at the RDME in the absence of surface active substances involves maxima of the second kind, even under conditions where these maxima are not observed at the conventional dropping mercury electrode (DME). For most practical purposes, it is necessary to eliminate the maxima completely by adding a suitable surface active compound. The presence of 0.01% polyacrylamide is recommended as a maximum suppressor in all polarographic work. At a suitable speed of rotation (200 to 300 r.p.m.) the sensitivity of the RDME in the presence of a surface active substance is about ten times as great as that of the DME.Equation (3), derived in a previous paper² accounts quantitatively for the relation between limiting current in the presence of a suitable maximum suppressor on the one hand and the concentration and diffusion coefficient of electroactive species, speed of rotation, kinematic viscosity and the characteristics of the electrode (m and t) on the other. The limiting current is practically indepndent of the pressure of mercury, but varies with t^a, where a ? 0 5.For reversible reactions half-wave potentials at the RDME are of the same order of magnitude as observed at the DME. The slight difference observed in the reduction of metal ions to metal amalgams is accounted for quantitatively by the larger rate of transport of electroactive species to the RDME.The RDME is recommended for the analysis of solutions containing one or more electroactive species in concentration of less than about l0^-4N. For markedly higher concentrations the DME ib generally preferred.     

Electrochemical detection of droplet content in microfluidic devices: Evidence of internal recirculating convection within droplets

The electrochemical detection of aqueous droplets carried by an immiscible oil-phase was investigated in a rectangular microchannel. Droplets having large aspect ratio as plugs were generated on demand and their electroactive content was detected amperometrically by a channel microband electrode. Under these conditions, electrode responses showed steady-state currents during the passage of droplets. The influence of electrode width and droplet velocity on faradaic current was studied. Results demonstrated that mass transfer to the electrode was controlled by convective flow regimes. Internal recirculating convection was evidenced in comparison to known operating regimes of microchannel electrodes in continuous pressure-driven flow.     

Mapping concentration profiles within the diffusion layer of an electrode: Part II. Potentiometric measurements with an ultramicroelectrode

A platinum-disk ultramicroelectrode is used to monitor electrochemical potential variations inside the steady-state diffusion layer created by a larger electrode. The experimental potential variations result from combination of a pure electrochemical component (viz., as given by the Nernst law) with a smaller ohmic drop contribution, which varies linearly with the distance from the working electrode surface so that it can be readily eliminated. From the ensuing corrected potential variations, the concentration profiles of the electroactive species present within the diffusion layer can be reconstructed by application of the Nernst law. The validity and great interest of the method are demonstrated experimentally by the study of the one-electron reversible oxidation of the Fe(CN)₆³⁻/Fe(CN)₆⁴⁻ couple in aqueous KCl solutions. As a correlation, this demonstrates also for the first time the validity of the Nernst layer approximation. The method is then applied to examine the specific structure of the diffusion layers, which result from the involvement of a conproportionation reaction during the second reduction of tetracyanoquinodimethane (TCNQ) in DMF.     

1,3-二氧戊环基LiCF3SO3电解液对锂硫电池正极材料单质硫的电化学性能影响

测试了二元和多元溶剂组分的1,3-二氧戊环基LiCF3SO3电解液的粘度、离子电导率和单质硫的溶解度. 研究结果表明, 由较强的给电子能力溶剂组成的低粘度电解液较容易提高单质硫的氧化还原反应活性和可逆性能, 有利于提高单质硫在2.10 V附近的低放电平台电位和放电比容量. DOL-DME LiCF3SO3电解液能够较好地改善单质硫电极的表面钝化层结构, 促进电活性物质离子扩散和降低界面电荷传递阻抗, 从而表现出很好的放电倍率特性. 在室温下充放电流密度分别为0.1和0.2 mA/cm2时, 单质硫的首次放电比容量为792 mA·h/g, 第29次放电比容量达到412 mA·h/g.     

Combined use of electroanalytical methods to derive calibration plots for species difficult to standardize

A simple method is described for the derivation of calibration graphs for electroactive active analytes which are difficult to standardize from a calibration for an easily standardized reference species dissolved in the same medium. The method is based on evaluation of the ratios between the current-signals recorded for the analyte and for the reference solution by rotating-disk-electrode voltammetry and by an electroanalytical technique based on stationary electrodes which provides purely diffusion-controlled responses (e.g., chronoamperometry or normal-pulse voltammetry). This approach can be applied to all electroactive species which undergo diffusion-controlled processes, regardless of the degree of reversibility involved. Reliability tests, done with electroactive organic species dissolved in dimethyl sulphoxide, show that both accuracy and precision are within ±5%. The method is applied to the determination of hydrogen and oxygen solubilities in dimethyl sulphoxide and acetonitrile, respectively, as an example of quantitative evaluations of species which are difficult to standardize.     

Electrokinetic flow through an elliptical microchannel: effects of aspect ratio and electrical boundary conditions

The electrokinetic flow of an electrolyte solution through an elliptical microchannel is studied theoretically. The system under consideration simulates the flow of a fluid, for example, in vein. We show that, for a constant cross-sectional area, both the electroosmotic volumetric flow rate and the streaming potential increase monotonically with an increase in the aspect ratio, and both the total electric current and the electroviscous effect may exhibit a local minimum as the aspect ratio varies. Also, for a constant average potential on the channel wall, the difference between the results based on three kinds of boundary conditions, which include constant surface charge, constant surface potential, and charge-regulated surface, is inappreciable if the hydraulic diameter is larger than 1 mum.