For the macroelectrode, one can use the Warburg impedance to describe the diffusion coefficient. This Demonstration shows the analytical solution for the diffusional impedance of a micro-disk electrode. It is a function of frequency, kinetics, concentration, and the radius of the microelectrode.

The diffusional impedance can be simulated by the finite-element method (FEM) or by the finite-difference method (FDM). [1] formulates the analytical expression for the real and the imaginary parts of the diffusional impedance:

,

,

where

= radius of microelectrode,

= diffusion coefficient,

= angular frequency.

The numeric values of the functions and are given in this Demonstration; you can vary the parameters , , and to investigate the diffusional impedance .

References

[1] M. Fleischmann and S. Pons, "The Behavior of Microdisk and Microring Electrodes. Mass Transport to the Disk in the Unsteady State: The AC Response," Journal of Electroanalytical Chemistry and Interfacial Electrochemistry, 250(2), 1988 pp. 277–283.

[2] M. Keddam, N. Portail, D. Trinh, and V. Vivier, "Progress in Scanning Electrochemical Microscopy by Coupling with Electrochemical Impedance and Quartz Crystal Microbalance," ChemPhysChem, 10(18), 2009 pp. 3175–3182.