Electrochimica Acta 55 (2010) 5210–5222
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Electrochimica Acta
journal homepage: www.elsevier.com/locate/electacta
Numerical simulation of probing the electric double layer by scanning
electrochemical potential microscopy
R.F. Hamou
∗
, P.U. Biedermann, A. Erbe, M. Rohwerder
1
Max-Planck-Institut für Eisenforschung GmbH, Max-Planck-Straße 1, 40237 Düsseldorf, Germany
article info
Article history:
Received 20 January 2010
Received in revised form 8 April 2010
Accepted 10 April 2010
Available online 18 April 2010
Keywords:
Electric double layer
SECPM
Debye screening
EDL overlap
Scanning probe microscopy
abstract
Computational modeling of probing the electric double layer (EDL) by scanning electrochemical potential
microscopy (SECPM) was carried out in order to evaluate the applicability of this method. The modeling
is based on a continuum approach for the electric double layer in dilute solution using the modified
Poisson–Boltzmann equation. This model takes into account the finite ion size and prevents steric effects
near the charged surface. The approach of the SECPM probe towards a charged electrode, immersed in
electrolyte solution, is simulated obtaining the potential profile in the direction normal to the electrode.
The effects of the shape and the size of the metallic protrusion at the apex of the probe were studied.
A clear dependence of the probe potential on the apex geometry was observed, and correlated to the
apex surface charge density distribution. The overlap of the EDLs located at the probe and the electrode
is studied by setting different initial open circuit potentials, i.e., different charging, to the probe. We have
found that the obtained potential profiles are consequences of the EDL overlap, characterized by an ionic
distribution in the gap separating the probe and electrode. Depending on the strength of both EDLs and
their polarity, the Debye screening effect severely influences the probe potential.
Crown Copyright © 2010 Published by Elsevier Ltd. All rights reserved.
1. Introduction
Scanning probe microscopy (SPM) covers a wide range of
experimental tools used to investigate surface properties. Several
sophisticated techniques appeared in the last decades, using dif-
ferent concepts to generate surface images with high-resolution.
Considerable knowledge was gained with the advance of SPM
techniques. A more recent application field is the high-resolution
measurement of electrode potential distributions.
High-resolution measurements of the distribution of the lateral
electrode potentials or of the potential profile normal to the surface
are of interest in many research fields, from galvanic elements in
corrosion to electrochemically active sites in biological cells. The
Scanning Kelvin Probe can measure potential distributions with
high-resolution on dry surfaces and surfaces covered by thin layers
of electrolyte layers [1–3]. However the potentials measured on the
dry surface are not directly correlated with the ones during immer-
sion [3]. Such measurements in electrolytes were planned to be
possible with the scanning electrochemical potential microscopy
(SECPM).
The SECPM has been introduced by Li and Kjoller [4]. The idea
was to investigate the electric double layer (EDL) by approaching
∗
Corresponding author. Tel.: +49 211 6792 454; fax: +49 211 6792 218.
E-mail address: hamou@mpie.de (R.F. Hamou).
1
ISE member.
a metallic probe towards a charged surface immersed in an elec-
trolyte solution. The potential drop between tip and sample surface
can be measured at different steps during the approach, potentially
allowing the identification of the charge distribution and the poten-
tial profile in the normal direction of the EDL. This is potentially a
promising technique, which allows direct access to the spatially
resolved EDL properties as opposed to impedance spectroscopy
measuring the capacitance [5], or atomic force microscopy mea-
suring surface forces [6].
In addition, SECPM offers the possibility to map the surface
potential of an electrode/electrolyte interface. In particular, it can
image non-conductive samples, e.g., biological species adsorbed on
an electrode surface [7], which is an interesting advantage com-
pared to electrochemical scanning tunneling microscopy (EC-STM).
However, SECPM is not extensively used by electrochemists. Only
few scientific articles exist in the literature that use this technique
for electrochemical investigations. The first published work apply-
ing the SECPM concept was done by Woo et al., using a modified
EC-STM setup to probe the EDL potential [8]. The authors showed
the possibility to measure the potential on the nanometer scale
for an electrode/electrolyte interface. Based on the linear superpo-
sition approximation (LSA), a simplified interpretation was given
for the measurement mechanism and for the EDL overlap that can
occur between the tip and the sample.
Later, Hurth et al. [9] reported EDL potential profile measure-
ments with the SECPM, and concluded that for several situations
the data did not fit the classical Gouy–Chapman–Stern (GCS) model.
0013-4686/$ – see front matter. Crown Copyright © 2010 Published by Elsevier Ltd. All rights reserved.
doi:10.1016/j.electacta.2010.04.042