The Behavior of Microdisks and Microring Electrodes. Applications of Neumann's Integral Theorem
Abstract
In a series of papers we have recently discussed the steady state behavior of microdisk and microring electrodes as well as the chronopotentiometric, chronoamperometric, and A.C. responses of microdisk electrodes and the determination of the rates of homogeneous reactions coupled to electrode processes at these electrodes. Our approach has been based on the use of discontinuous integrals of Bessel functions (for comparable solutions in heat conduction). It is shown that Neumann's integral theorem can be used to derive the steady-state behavior of microdisk electrodes. Results obtained previously using other methods for uniform surface concentration and uniform flux boundary conditions are derived as limiting cases of a general equation which describes irreversible and quasi-reversible reaction kinetics. It is shown that the approach can be used to assess the effects of the tertiary current distribution and to predict the behavior for electrode reactions which are non-linear in the concentration terms. Keywords: Mass transport; Electrochemistry.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 15, 1988
- Accession Number
- ADA200307
Entities
People
- J. Daschbach
- M. Fleischmann
- Stanley Pons
Organizations
- University of Utah