EIS of multistep mechanisms

I have developed a general theory for the electrochemical impedance of multistep mechanisms. This theory enables prediction of the number of bends in a Bode plot for an arbitrary mechanistic scheme, without a detailed mathematical analysis, and predicts types of equivalent circuits for some classes of mechanisms.

A tutorial introduction to some aspects of the theory is given in this powerpoint presentation, which is an annotated and slightly expanded version of a talk given at the 6th International Symposium on Electrochemical Impedance Spectroscopy, Cocoa Beach, Florida, 2004.

  1. D.A. Harrington and P. van den Driessche, Mechanism and Equivalent Circuits in EIS, Electrochim. Acta, 56 (2011) 8005-8013. doi:10.1016/j.electacta.2011.01.067
  2. D.A. Harrington and P. van den Driessche, Equivalent Circuits for Some Surface Electrochemical Mechanisms, J. Electroanal. Chem., 567 (2004) 153-166. DOI Logo
  3. J. D. Campbell, D. A. Harrington, P. van den Driessche and J. Watmough, Stability of Surface Mechanisms with Three Species and Mass-Action Kinetics, J. Math. Chem., 32 (2002) 281-301. DOI Logo
  4. D.A. Harrington and P. van den Driessche, Stability and Electrochemical Impedance of Mechanisms with a Single Adsorbed Species, J. Electroanal. Chem., 501 (2001) 222-234. DOI Logo
  5. D.A. Harrington, Stability and Inductive Behaviour in Electrochemical Impedance, Proc. of Corrosion and Prevention 2000, November 19-22, Auckland, Proceedings Volume 2000, paper 112 pp. 1-7, Australasian Corrosion Association, Brentford Square, Victoria, Australia.
  6. D.A. Harrington and P. van den Driessche, Impedance of Multistep Mechanisms: Equivalent Circuits at Equilibrium, Electrochim. Acta, 44 (1999) 4321-4329. DOI Logo
  7. D.A. Harrington, Electrochemical Impedance of Multistep Mechanisms: Mechanisms with Static Species, J. Electroanal. Chem., 449 (1998) 29-37. DOI Logo
  8. D.A. Harrington, Electrochemical Impedance of Multistep Mechanisms: A General Theory, J. Electroanal. Chem., 449 (1998) 9-28. DOI Logo
  9. D.A. Harrington, Electrochemical Impedance of Multistep Mechanisms: Mechanisms with Diffusing Species, J. Electroanal. Chem., 403 (1996) 11-24. DOI Logo

EIS for large amplitude signals

A theory for large-amplitude and second-harmonic impedances for mechanisms with a single adsorbed species was presented in Can. J. Chem., 75 (1997) 1508 doi:10.1139/v97-181, and the MAPLE worksheet is available for download.