Electrochimica Acta 51 (2005) 333–339
Reference values of the diffusion-limited chronoamperometric
current at a microband electrode
D. Britz
a, ∗
, K. Poulsen
a
, J. Strutwolf
b
a
Dept. of Chemistry, Aarhus University, 8000
˚
Arhus C, Denmark
b
Institut f ¨ ur Organische Chemie, Universit¨ at T ¨ ubingen, Auf der Morgenstelle 18, 72076 T¨ ubingen, Germany
Received 15 February 2005; received in revised form 26 April 2005; accepted 28 April 2005
Available online 13 June 2005
Abstract
This paper provides reference values of the diffusion-limited current at a microband electrode, mounted flush in an insulating plane, as a
response to a potential jump, over the time region for which currently there are no satisfactory analytical solutions. The current values are
better than 0.1% accurate and are spaced in a temporal sequence over the critical time range so that simple interpolation can yield the current
at any point in between, with the same accuracy. This provides a standard of comparison for other simulation programs.
© 2005 Elsevier Ltd. All rights reserved.
Keywords: Computational electrochemistry; Digital simulation; Microelectrodes
1. Introduction
1.1. Band simulations
Aoki et al. [1] simulated the microband electrode (here-
after MBE), using the explicit method, to support the theory
in the paper. Coen et al. [2] used the integral equation method;
this was speeded up in 1999 by Cope and Tallman [3]. Deakin
et al. [4] used hopscotch [5–7] and a conformal map for sim-
ulation economy (see below). Alden et al. [8–10] used the
strongly implicit method (SIP [11,12]) for simulation of the
MBE with and without convection. Jin et al. used the integral
equation approach [13], and also the method called “finite an-
alytic method” (FAM) [14] on a microring electrode, which
in the extreme case of a very thin ring becomes identical with
a MBE.
Dual MBEs were simulated for the electrochemical titra-
tion technique without convection [15] and with convection
[16].
∗
Corresponding author. Tel.: +45 89423874; fax: +45 86196699.
E-mail addresses: britz@chem.au.dk (D. Britz); kim@enilmik.dk
(K. Poulsen); joerg.strutwolf@uni-tuebingen.de (J. Strutwolf)
The MBE is often used in channel flow experiments and
there is a large literature on the simulation of that. Since this
paper focusses on the MBE in a stationary solution, it will
suffice to name just two recent papers on the channel flow
case [17,18].
The above selection of the literature on the mi-
croband electrode serves to emphasize that there is inter-
est in this system and thus a need for reference current
values.
In the present study, the aim was to provide 0.1% accu-
rate current values for the MBE under chronoamperometric
(Cottrell-like) conditions, for which there appears to be a
need, since there is large gap of time values for which no
very accurate solutions exist, and to identify the time range
for which the best available solutions do not work. The 0.1%
level was chosen so as to be well below the experimentally
achievable 1% level for comparison with experiment, and
for comparison with possible future simulation work. The
paper is a follow-up work of [19], in which the same was
done for the microdisk electrode. Current values for the MBE
are tabulated below for a number of time values after on-
set of the potential jump, and time values in between those
tabled can be interpolated to 0.1% accuracy, as will also be
demonstrated.
0021-9673/$ – see front matter © 2005 Elsevier Ltd. All rights reserved.
doi:10.1016/j.electacta.2005.04.030