### 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 language | English |
---|---|

Journal | Electrochemical and Solid-State Letters |

Volume | 11 |

Issue number | 2 |

DOIs | |

Publication status | Published - 2008 Jan 4 |

Externally published | Yes |

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### ASJC Scopus subject areas

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

### Cite this

*Electrochemical and Solid-State Letters*,

*11*(2). https://doi.org/10.1149/1.2818649

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

Research output: Contribution to journal › Article

*Electrochemical and Solid-State Letters*, vol. 11, no. 2. https://doi.org/10.1149/1.2818649

}

TY - JOUR

T1 - Extensions of the Koutecky-Levich equation to channel electrodes

AU - Scherson, Daniel Alberto

AU - Tolmachev, Yuriy V.

AU - Wang, Zhenghao

AU - Wang, Jun

AU - Palencsar, Attila

PY - 2008/1/4

Y1 - 2008/1/4

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=37549062560&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=37549062560&partnerID=8YFLogxK

U2 - 10.1149/1.2818649

DO - 10.1149/1.2818649

M3 - Article

VL - 11

JO - Electrochemical and Solid-State Letters

JF - Electrochemical and Solid-State Letters

SN - 1099-0062

IS - 2

ER -