Multidimensional integral equations: a new approach to solving microelectrode diffusion problems Part 2. Applications to microband electrodes and the scanning electrochemical microscope
نویسندگان
چکیده
The new approach to solving diffusion problems using multidimensional integral equations (equations containing multiple integrals) proposed in Part 1 is used to address microelectrode problems with two types of electrode geometry: two-dimensional linear diffusion and cylindrical diffusion in a thin-layer cell. The electrochemical current transients and cyclic voltanunograms at a microband electrode as well as the response of a pair of parallel microbands working in the generator-collector mode are obtained. The current found with a scanning electrochemical microscope with either a conductive or an insulating substrate is also calculated using this approach. In both cases the current-potential curves can be computed for a simple electrode reaction with any value of heterogeneous rate constant and any shape of excitation signal. The theory for an electrode process with a successive first-order homogeneous chemical stage is also discussed.
منابع مشابه
Multidimensional integral equations Part 1. A new approach to solving microelectrode diffusion problems
The diffusion problems for a wide class of microelectrodes are shown to be reducible to multidimensional integral equations (equations containing multiple integrals). The formulation and solution of these problems by means of integral transformations are given for several types of microelectrode systems: a microdisk embedded in an insulating plane or in an insulator of a finite thickness, a mic...
متن کاملElectrochemical Measurements with Interdigitated Array Microelectrodes
ing into widespread use for the trace determination of easily oxidizable and reducible organic and inorganic compounds, because it provides a rather easy procedure for direct and selective detection. Recently, microelectrodes have been receiving attention in this field (1,2). They offer higher sensitivity than macroelectrodes of conventional size, because an electroactive molecule can approach ...
متن کاملMonitoring of the Surface Modification of Nanoparticlesby Electrochemical Measurements Using Scanning Electrochemical Microscope
The first papers related to the scanning electrochemical microscopy (SECM) were published in the nineties of the 20th century [1, 2]. This technique is based on the scanning of the studied surface by ultramicroelectrode (UME) and electrochemical analysis of surface [1]. Such technique gives us an electrochemical picture of the surface. SECM employs an UME probe (tip) to induce chemical changes ...
متن کاملT-Stability Approach to the Homotopy Perturbation Method for Solving Fredholm Integral Equations
The homotopy perturbation method is a powerful device for solving a wide variety of problems arising in many scientific applications. In this paper, we investigate several integral equations by using T-stability of the Homotopy perturbation method investigates for solving integral equations. Some illustrative examples are presented to show that the Homotopy perturbation method is T-stable for s...
متن کاملAn electrochemical time-of-flight technique with galvanostatic generation and potentiometric sensing
A variation of an electrochemical time-of-flight (ETOF) technique is described and illustrated with the test cases involving electrochemically generated Ag and H ions in aqueous solutions of different viscosity and ionic strength. Similar to the earlier ETOF methods, the new ETOF technique also relies on photolithographically fabricated microelectrode devices. It uses a constant current (rather...
متن کامل