Theoretical treatment of the current vs. time response of microelectrode arrays to changes of potential, concentration, or flow

A theoretical approach to the current vs. time behavior of arrays of hemispherical or disc-shaped microelectrodes is presented. The treatment includes the chronoamperometric response to changes of the applied potential, and the dynamic response to changes of the concentration or the flow velocity of the sample solution. The theory accounts for effects of the Nernstian diffusion layer arising between sample bulk and electrode surface. The influence of different geometric parameters on the response characteristics is discussed. Arrays with a low packing density of electrodes are shown to yield the multiple response of a single microelectrode, whereas closely packed arrays mimic the behavior of a conventional macroelectrode of the same total surface area.

[1]  E. Wang,et al.  THEORY OF STEADY-STATE CURRENT AT MULTIPLE MICROCYLINDER ELECTRODES COUPLED WITH A PARALLEL PLANAR ELECTRODE , 1993 .

[2]  Allen J. Bard,et al.  Digital Simulation of the Measured Electrochemical Response of Reversible Redox Couples at Microelectrode Arrays: Consequences Arising from Closely Spaced Ultramicroelectrodes , 1986 .

[3]  M. I. Montenegro,et al.  Microelectrodes : theory and applications , 1991 .

[4]  Werner E. Morf,et al.  Organic membranes for miniaturized electrochemical sensors: Fabrication of a combined pO2, pCO2 and pH sensor , 1994 .

[5]  R. Zwanzig,et al.  Chronoamperometric current at a random ensemble of microdisk electrodes , 1991 .

[6]  L. Anderson,et al.  Filar electrodes: steady-state currents and spectroelectrochemistry at twin interdigitated electrodes , 1985 .

[7]  K. Tokuda,et al.  Voltammetry at partially covered electrodes: Part I. Chronopotentiometry and chronoamperometry at model electrodes , 1978 .

[8]  Christopher M.A. Brett,et al.  Electrochemistry: Principles, Methods, and Applications , 1993 .

[9]  G. Veress,et al.  Modern trends in analytical chemistry , 1984 .

[10]  Hisao Tabei,et al.  Electrochemical behavior of reversible redox species at interdigitated array electrodes with different geometries: consideration of redox cycling and collection efficiency , 1990 .

[11]  L. Anderson,et al.  Analytical strategies using interdigitated filar microelectrodes , 1990 .

[12]  Koichi Aoki,et al.  Time-dependence of diffusion-controlled currents of a soluble redox couple at interdigitated microarray electrodes , 1989 .

[13]  R. Wightman,et al.  Theory and experiment for the collector-generator triple-band electrode , 1991 .

[14]  B. Scharifker.  Diffusion to ensembles of microelectrodes , 1988 .

[15]  Koichi Aoki,et al.  Quantitative analysis of reversible diffusion-controlled currents of redox soluble species at interdigitated array electrodes under steady-state conditions , 1988 .

[16]  Werner E. Morf,et al.  Theoretical treatment of the amperometric current response of multiple microelectrode arrays , 1996 .

[17]  John Crank,et al.  The Mathematics Of Diffusion , 1956 .