Extensions of the Koutecky-Levich equation to channel electrodes

Daniel Alberto Scherson, Yuriy V. Tolmachev, Zhenghao Wang, Jun Wang, Attila Palencsar

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

An analytical solution is herein presented for the current at a channel-type electrode associated with a simple first-order (in the reactant) heterogeneous electron transfer process involving a solution phase species. Assuming a fixed cell geometry, electrolyte composition, and temperature, a series expansion of this solution revealed that in the limit of small values of k3 o, where k is the first-order kinetic rate constant and o is the fluid velocity in the center of the channel, the reciprocal of the measured current, 1i=1 ik +Β ilim, where ik and ilim are the kinetic and diffusion limited currents, respectively, and Β=27[8(23)(13)]=0.93036. This equation bears striking resemblance to that reported by Koutecky and Levich for a rotating disk electrode, except that Β in the latter case is unity. Rather surprisingly, and in agreement with recent findings [Electrochim. Acta, 52, 4124 (2007)], a plot of 1i vs k o 13 was found to be close to linear, with a slope reaching values slightly higher than Β as the magnitude of k o 13 increased.

Original languageEnglish
JournalElectrochemical and Solid-State Letters
Volume11
Issue number2
DOIs
Publication statusPublished - 2008 Jan 4
Externally publishedYes

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Electrodes
Kinetics
electrodes
Rotating disks
Electrolytes
Rate constants
rotating disks
kinetics
bears
series expansion
Fluids
Geometry
Electrons
unity
electron transfer
plots
Chemical analysis
electrolytes
slopes
fluids

ASJC Scopus subject areas

  • Chemical Engineering(all)
  • Materials Science(all)
  • Physical and Theoretical Chemistry
  • Electrochemistry
  • Electrical and Electronic Engineering

Cite this

Extensions of the Koutecky-Levich equation to channel electrodes. / Scherson, Daniel Alberto; Tolmachev, Yuriy V.; Wang, Zhenghao; Wang, Jun; Palencsar, Attila.

In: Electrochemical and Solid-State Letters, Vol. 11, No. 2, 04.01.2008.

Research output: Contribution to journalArticle

Scherson, Daniel Alberto ; Tolmachev, Yuriy V. ; Wang, Zhenghao ; Wang, Jun ; Palencsar, Attila. / Extensions of the Koutecky-Levich equation to channel electrodes. In: Electrochemical and Solid-State Letters. 2008 ; Vol. 11, No. 2.
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