The behavior of semiconductor-based, light-activated microelectrodes in redox electrolytes has been examined theoretically using commercial software to self-consistently solve the transport equations for solid-state and solution-phase species and the electrostatic potential within the semiconductor phase, subject to the appropriate boundary conditions under steady state. The lightlimited currents for such spatially localized microelectrodes, observed for a high voltage bias, bias , under normal irradiation and a strict axisymmetric geometry, were proportional to the photon flux intensity. The results of these simulations afforded strong evidence that under high bias , holes generated by the light on an n-type semiconductor escape beyond the edge of the illuminated disk, leading to a net increase in the predicted current and thus in the effective area of the light-activated microelectrode. © 2009 The Electrochemical Society. ͓DOI: 10.1149/1.3257616͔ All rights reserved.Manuscript submitted August 19, 2009; revised manuscript received October 12, 2009. Published November 16, 2009 Miller and Rosamilia 1 described the use of a focused laser impinging at normal incidence on the surface of a semiconductor electrode immersed in an electrolyte containing a redox species to generate spatially localized currents with several possible applications.
2The implementation of this novel concept employing n-InP and n-GaAs disks in solutions of ferrocene ͑Fc͒ in well-supported acetonitrile electrolytes at high positive potentials, bias , yielded a behavior closely resembling that of the conventional metallic microelectrodes. 2,3 This article seeks to theoretically examine certain aspects of such light-activated microelectrodes. A particular concern is to establish, under steady-state conditions and large bias , the influence of hole transport within the semiconductor beyond the illuminated area on the measured current, explicitly accounting for interfacial redox processes and mass transport of redox species in the solution phase.
Theoretical AspectsThe system to be analyzed in this work involves an n-type InP semiconductor disk immersed in a Fc solution in a well-supported ͑1 M tetrabutylammonium tetrafluoroborate͒ acetonitrile electrolyte under conditions similar to those reported by Miller and Rosamilia.
1More specifically, we seek steady-state solutions for the transport equations for electrons ͑n͒ and holes ͑p͒, including both generation and recombination of n-p pairs, 5,6 self-consistently coupled to Poisson's equation for the electrostatic potential within the semiconductor, , and to the transport equations for the donor ͓red ͑reduction͔͒ and the acceptor ͓ox ͑oxidation͔͒ species in a quiescent solution phase subject to the appropriate boundary conditions. The latter includes second-order kinetics 7,8 to account for the interfacial reactions between p ͑in the valence band͒ and red and between n ͑in the conduction band͒ and ox, which, for the parameters selected for this study, may be regarded as the dominant contributions ...