Journal of Solid State Electrochemistry

, Volume 18, Issue 12, pp 3251–3257 | Cite as

Planar diffusion to macro disc electrodes—what electrode size is required for the Cottrell and Randles-Sevcik equations to apply quantitatively?

  • Kamonwad Ngamchuea
  • Shaltiel Eloul
  • Kristina Tschulik
  • Richard G. Compton
Original Paper


Simulations and experiments are reported which investigate the size of a macro disc electrode necessary to quantitatively show the chronoamperometric or voltammetric behaviour predicted by the Cottrell equation or the Randles-Sevcik equation on the basis of exclusive one-dimensional diffusional mass transport. For experimental time scales of several seconds, the contribution of radial diffusion is seen to be measurable even for electrodes of millimetres in radius. Recommendations on the size of macro electrodes for quantitative study are given and should exceed 4 mm radius in aqueous solution.


Mass transport One-dimensional planar diffusion Cottrell equation Randles-Sevcik equation Chronoamperometry Cyclic voltammetry 



KT was supported by a Marie Curie Intra European Fellowship (Grant Agreement no. 327706) within the 7th European Community Framework Programme. SE and RGC acknowledge funding from the European Research Council under the European Union’s Seventh Framework Programme (FP/2007-2013)/ERC Grant Agreement no. 320403.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Kamonwad Ngamchuea
    • 1
  • Shaltiel Eloul
    • 1
  • Kristina Tschulik
    • 1
  • Richard G. Compton
    • 1
  1. 1.Department of Chemistry Physical & Theoretical Chemistry LaboratoryUniversity of OxfordOxfordUK

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