Oscillatory behavior in the electrochemical oxidation of formic acid on Pt(100) rotation and...
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Journal of Electroanalytical Chemistry 500 (2001) 3643www.elsevier.nl/locate/jelechem
Oscillatory behavior in the electrochemical oxidation of formicacid on Pt(100): rotation and temperature effects
T.J. Schmidt *, B.N. Grgur 1, N.M. Markovic, P.N. Ross, Jr.
Materials Science Diision, Lawrence Berkeley National Laboratory, Uniersity of California, Berkeley, CA 94720, USA
Received 8 May 2000; received in revised form 27 June 2000; accepted 1 August 2000
Dedicated to Professor R. Parsons on the occasion of his retirement from the position of the Editor in Chief of the Journal of
Electroanalytical Chemistry and in recognition of many contributions to electrochemistry
Abstract
We investigated the oscillatory behavior in the kinetics of formic acid electrooxidation on Pt(100) in 1 mM HClO4 solution. We
studied the effect of different experimental parameters on the oscillatory behavior, viz. defined HCOOH mass-transport to the
electrode surface by using the rotating disk electrode technique, the temperature of the supporting electrolyte, and the nature of
anions. We suggest that the interdependence of the reaction steps during HCOOH oxidation, the adsorption of anions and the
competition for adsorption sites among the reaction partners and intermediates lead to complex non-linear kinetics. It was evident
that once the individual reactions in the dual path mechanism reach steady state the oscillations vanish. These conditions can be
reached either by enhanced formic acid reaction rates induced by electrode rotation or by increased temperature. Under specific
conditions of anion and formic acid concentration, relaxational oscillations can be transformed into mixed-mode oscillations. 2001 Elsevier Science B.V. All rights reserved.
Keywords: Oscillatory electrochemical reaction; Formic acid; Pt(100) electrode
1. Introduction
Oscillation of current or potential in electrochemical
reactions is a well known phenomenon, e.g. in metal
dissolution [1,2], peroxide reduction [3], the hydrogen
oxidation reaction [1,4], or in the oxidation of small
organic molecules like ethylene [5], formaldehyde [6,7],methanol [8] or formate/formic acid [5,9,10]. In the past
decade oscillatory instabilities during formic acid oxida-
tion have been extensively studied on low-index Pt(hkl)
electrodes [11 15]. Although general agreement exists
that current oscillations during formic acid oxidation
arise from oscillating surface coverages by adsorbed
formic acid, adsorbed poisoning intermediates, oxygen
containing species and anions from the supporting elec-
trolytes, the true nature of the oscillatory behavior is
still controversial. For example, one explanation for
sustained oscillations under potentiostatic control was
the local variation of the pH close to the electrode
during HCOOH oxidation on Pt(100), resulting in a
sudden change of the surface coverage by electroactive
oxygenated species (OHad), therefore changing the reac-
tion rate for removing the poisoning intermediate (e.g.adsorbed carbon monoxide, COad) which is formed by
HCOOH decomposition [11,14]. Additionally to the pH
effect, Tripkovic et al. proposed in their study that the
number of surface sites occupied by bridge-bonded
COad plays an important role in the oscillatory behav-
ior of formic acid oxidation on stepped Pt(hkl) elec-
trodes [12]. In contrast to the pH hypothesis, Markovic
and Ross proposed that the periodicity, the amplitude,
and the absolute magnitude of the current oscillations
during HCOOH oxidation on Pt(100) depend on at
least three parameters, viz. electrode potential and po-tential history, formic acid concentration, and the con-
centration of the anion of the supporting electrolyte
[13]. Closely following a concept described by Degn [1],
* Corresponding author. Tel. +1-510-4864793; fax: +1-510-
4865530.
E-mail address: [email protected] (T.J. Schmidt).1 Current address: Faculty of Technology and Metallurgy, Univer-
sity of Belgrade, Karnegijeva 4, 11000 Belgrade, Yugoslavia.
0022-0728/01/$ - see front matter 2001 Elsevier Science B.V. All rights reserved.
PII: S 0 0 2 2 - 0 7 2 8 ( 0 0 ) 0 0 3 4 2 - 9
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T.J. Schmidt et al./ Journal of Electroanalytical Chemistry 500 (2001) 3643 37
Strasser et al. pointed out that the presence of a suffi-
ciently large ohmic resistance is crucial to develop
oscillatory instabilities in formic acid oxidation on all
three low-index Pt single crystals [15]. For details about
the theory of electrochemical oscillators we refer to
Refs. [16,17]. All results for formic acid oxidation on
the Pt(hkl) electrodes were obtained on stationary elec-
trodes, i.e. the oscillatory behavior was not investigatedunder well defined hydrodynamic conditions. In order
to simulate enhanced mass transport conditions, the
effect of electrolyte stirring on the oscillatory behavior
during formic acid oxidation was studied and discussed
in Refs. [11,1315]. The main findings from the applied
turbulent mass-transport induced by magnetic stirring
of the electrolyte is that under certain experimental
conditions the enhanced mass transfer of HCOOH
caused the oscillations either to cease [11,14] or to be
sustained with different shapes and periodicity [13,15].
It is important to note that Schell and coworkers [6,10]
found that sustained current oscillations can be devel-
oped during the galvanostatic oxidation of formic acid
on a rotating polycrystalline platinum disk electrode. In
addition, these studies showed that oscillatory behavior
on polycrystalline Pt was not substantially affected by
the temperature of the electrolyte [6,10]. To the best of
our knowledge there are no similar studies of the
oscillatory behavior on Pt(hkl) electrodes under (i) well
defined mass-transport conditions and (ii) variable
temperature.
In this paper we present results on oscillations devel-
oped during formic acid oxidation on Pt(100) in 1 mMHClO4 solution. Our aim is to demonstrate the influ-
ence ofdefinedmass-transport to the electrode surface
by utilizing the rotating disk electrode (RDE) tech-
nique. Additionally, the effect of temperature was stud-
ied under specific experimental conditions in order to
isolate the effect of surface reaction kinetics on the
oscillations. In the last part, we report on so-called
mixed-mode oscillations obtained under specific condi-
tions concerning anion and formic acid concentration.
2. Experimental
The results presented here were conducted using twodifferent Pt(100) single crystals (0.283 cm2, Figs. 14;
0.572 cm2, Fig. 5). The single crystals were flame an-
nealed in a hydrogen flame and cooled in a mild stream
of 2% H2+Ar. One crystal (0.283 cm2) was mounted
into the disk position of an insertable ring disk elec-
trode assembly (Pine Instruments), fully described pre-
viously [18]. Both electrodes were transferred into a
thermostated standard three compartment electrochem-
ical cell and immersed into the Ar-purged electrolyte
under potential control at 0.2 V (Ar, Matheson
Research Purity; 1 mM HClO4, EM Science suprapure;
or 5 mM H2SO4, J.T. Baker ultrex, both prepared with
triply pyrodistilled water). The reference electrode was
a saturated calomel electrode (SCE) separated by a
closed bridge from the working electrode compartment
in order to avoid chloride contamination. A circulating
constant temperature bath (Fischer Isotemp Circulator)
maintained the temperature of the electrolyte within
0.5C. The measurements were carried out either at
298 K or at 318 K. All measurements were conducted
non-isothermally, i.e. keeping the temperature of the
reference electrode constant (298 K) while that of the
working electrode was varied. After recording the basevoltammetry of the Pt(100) electrode in order to check
the cleanliness of the electrode preparation, the elec-
trode was held at 0.2 V and formic acid (Aldrich
ACS Reagent) was injected to obtain a 12 or 35 mM
HCOOH solution, respectively. All experiments were
carried out on the unreconstructed Pt(100)(11) sur-
face present in acid and alkaline electrolyte [19].
3. Results
3.1. Oscillation characteristics on stationary electrode
The general shape of the polarization curve for for-
mic acid oxidation on Pt(100) in 1 mM HClO4 (12 mM
HCOOH, 10 mV s1, 298 K) between hydrogen ad-
sorption (referred to as Hupd) and oxide formation
(referred to as OHad) is shown in Fig. 1. This curve
reproduces the behavior we reported previously [13].
Since the oxidation currents for formic acid oxidation
under potentiodynamic conditions overlap in the posi-
tive and negative sweeps, respectively, the voltam-
mograms, for clarity, are unfolded with respect to thepotential axis. Starting from the negative potential
limit, the oxidation of HCOOH is suppressed up to ca.
Fig. 1. (a) Unfolded potentiodynamic curve for formic acid oxidation
on Pt(100) (10 mV s1). Sweep reversed at 0.7 V. (b) Potentiostatic
transient at 0.63 V in a sweep-and-hold experiment after sweepingfrom 0.7 V negatively. 1 mM HClO4+12 mM HCOOH, 0 rpm, 298
K.
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T.J. Schmidt et al./ Journal of Electroanalytical Chemistry 500 (2001) 364338
Fig. 2. Potentiodynamic curves for formic acid oxidation on Pt(100)
(10 mV s1) at 0 rpm, 1600 rpm and 3600 rpm, respectively (only the
negative sweep is shown). 1 mM HClO4+12 mM HCOOH, 298 K.
static current oscillations are typical for so-called relax-
ation oscillations, where the system remains in either
one of two quasi-stationary states, followed by a sharp
transition from one state to another. Hence, the time
the system stays in the active and inactive state is
defined as tA and tI, respectively (see insert in Fig. 1).
The total charge passed in a single oscillation can be
referred to as QA and QI flowing during tA and tI. It isnoteworthy that the sustained potentiostatic oscillations
at 0.63 V (insert Fig. 1) are relatively stable in ampli-
tude and frequency over a long period of time (i.e.
15 min) before significant changes in the shape are
observed.
3.2. Influence of electrode rotation on oscillatory
behaior
3.2.1. Potentiodynamic conditions
The effects of rotation rate on the oscillatory behav-
ior during the first positive and consecutive negative
sweeps, respectively, are shown in Fig. 2. There are two
characteristics that represent the effect of rotation: (i) in
the positive sweep the oscillations cease immediately
under electrode rotation; and (ii) the number of spikes
recorded in the negative sweep direction decreases on
increasing the rotation rate. In the latter case, the
number of oscillations is decreased from eight at the
stationary electrode to four when rotating at 1600 rpm,
and finally to two when the rotation rate is increased up
to 3600 rpm. At rotation rates above 3600 rpm, we
were not able to develop oscillations in these potentio-dynamic experiments. Fig. 2 also shows that with in-
creasing rotation rate the system stays longer in both
the deactivated (tI increases) and activated (tA in-
creases) states. As a consequence the frequency of the
oscillations goes down with increasing rotation rate.
The effect of the rotation rate on the amplitude of the
oscillations is not as pronounced, although a detailed
inspection of Fig. 2 reveals a small decrease with in-
creasing electrode rotation. Finally, we note that in the
consecutive two following sweeps, the number of oscil-
lations was always smaller than in the first sweep or no
oscillations were observed anymore (especially at 3600
rpm, the polarization curve presented was a first sweep
phenomenon).
3.2.2. Potentiostatic conditions
Fig. 3 shows the influence of rotation on potentio-
statically developed oscillations at 0.63 V. In these
experiments the potential was swept (10 mV s1) from
the negative potential limit to 0.7 V, and then after the
reversal of the sweep direction the potential was held at
0.63 V. At this potential we were recording the sus-
tained oscillations shown on the left-hand side of Fig.3a, which qualitatively resemble the current transient
from the insert in Fig. 1. We then started to rotate the
0.2 V due to the presence of adsorbed CO containing
poisoning intermediates formed by formic acid decom-
position (for simplicity, hereafter denoted as COad,
although other organic intermediates might be present
[20,21]). The concomitant removal of COad and the
beginning of formic acid oxidation starts at ca. 0.2 V,resulting in the increase in the current. Eight subse-
quent anodic current oscillations are observed between
ca. 0.55 and 0.7 V. After reversal of the potential at 0.7
V, 12 additional oscillations appear up to 0.4 V, fol-
lowed by a monotonic decrease of the current when
approaching the initial potential. We note that when
sweeping the electrode consecutively over a longer pe-
riod of time, however, the number of oscillations in
both positive and negative sweeps was reduced before
the oscillations ceased completely, indicating that the
oscillatory behavior seen in potentiodynamic experi-
ments is of time-dependent nature. The potentiody-namic data in Fig. 1 are in general agreement with data
presented in Refs. [13,14], which were recorded under
similar conditions.
The insert in Fig. 1 is representative for current
oscillations recorded under potentiostatic conditions. In
this experiment, the potential was swept positively from
0.2 to 0.7 V and stopped at 0.63 V upon the reversal
point (sweep-and-hold experiment). This procedure
produced almost the same current transients compared
to potential stepping experiments from 0.2 V to the
region where current oscillations occur. We, therefore,focused in this study on sweep-and-hold experiments.
As already mentioned previously [11,13] the potentio-
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T.J. Schmidt et al./ Journal of Electroanalytical Chemistry 500 (2001) 3643 39
RDE at 400 rpm as indicated in Fig. 3a for ca. 90 s
before stopping the electrode rotation again. Obviously,
the oxidation current for formic acid oxidation in-
creased when the rotation started, indicating higher
reaction rates induced by the enhanced mass-transport
to the electrode surface. However, as in the sweep
experiments (Fig. 2), the amplitude decreases slightly
once rotation is applied but stays relatively stable
within the duration of the experiment. An inspection of
Fig. 2 also shows that, at 400 rpm, the current peaks
are sharper than under stationary conditions, whereas
the induction period from the deactivated to the acti-
vated state (tI) increases with time. As a consequence,
the frequency of oscillations decreases continuously
(Fig. 3a). However, when the rotation was stopped
after 80 s, the reverse behavior was observed, and over
an additional 40 s the shape of the oscillations, the
frequency and amplitude slowly recover to the state
recorded before rotation. Similar observations were
made by Strasser et al. on Pt(100) using magnetic
stirring of the electrolyte [15]. Fig. 3b shows that the
increase of the rotation rate from 400 to 1600 rpm leads
to an increase of the reaction rate, a continuous de-
crease of the amplitude of the current spikes and the
frequency of oscillations. Fig. 3b also demonstratesthat, in contrast to Fig. 3a, the current peaks broaden
and the poisoning period increases, so after 250 s the
oscillations are annihilated completely. It is noteworthy
that we were unable to restore oscillations over the next
10 min, as observed in Ref. [15], or when we stopped
the rotation. We also found that the time required for
the oscillations to cease completely decreases with in-
creasing rotation rate due to the enhanced formic acid
concentration on the surface at higher rotation rates.
3.3. Influence of temperature on oscillatory behaior
Another possibility to enhance the reaction rate for
formic acid is the increase in temperature of the elec-
trolyte (Fig. 4). Note that due to the inverse propor-
tionality of the diffusivity, D, and viscosity of the
electrolyte, with increasing temperature, T, (DT/
), mass transport to the electrode is not affected by the
temperature change. Since we were not able to develop
current oscillations when we started the experiment at
temperatures above 303 K (in contrast to galvanostatic
oscillations on polycrystalline Pt reported in Ref. [10]),
we carried out the following experiment. We started the
experiment at 298 K and recorded potentiostatic cur-
rent oscillations at 0.63 V under sweep-and-hold condi-
tions. The resulting current transients are shown on the
left side in Fig. 4. In order to demonstrate the regular
shape of the oscillations, we magnified the time scale
for the first 4 s of the experiment. After an additional
60 s we started to increase the temperature of the
electrolyte to 318 K and recorded the response of the
system. The temperature increase results instanta-
neously in higher HCOOH oxidation rates and a slight
decrease in the frequency. The oscillations themselves,however, stay in the same regular shape as shown in the
time-magnified part of Fig. 4. Only after ca. 145 s,
when the desired temperature of 318 K equilibrated in
the electrolyte, do the current spikes start to lose their
regular shape, resulting in a more or less chaotic
development of current oscillations with irreproducible
frequency and amplitude (note that for 145t330 s
the current transients are shown on an expanded time
scale). The last current spike is observed at ca. 310 s
before the oscillations cease completely. We also note
that we were unable to revive the oscillatory behaviorafter this time through rotation or through a change of
the potential.
Fig. 3. Influence of rotation rate on potentiostatic transients at 0.63
V: (a) after switching from 0 rpm to 400 rpm and vice versa; (b) after
switching from 0 rpm to 1600 rpm. 1 mM HClO4+12 mM HCOOH,
298 K.
Fig. 4. Influence of temperature on potentiostatic transients at 0.63 V.As indicated, the temperature was increased from 298 to 318 K. 1
mM HClO4, 12 mM HCOOH, 0 rpm.
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T.J. Schmidt et al./ Journal of Electroanalytical Chemistry 500 (2001) 364340
Fig. 5. Evaluation of so-called mixed-mode oscillations on Pt(100):
potentiostatic transient at 0.47 V. The insert shows the section
betweent=100 s and 130 s. 5 mM H2SO4+35 mM HCOOH, 0 rpm,
298 K.
tors. For a discussion of this issue, we refer to Section
4.1.
4. Discussion
In Section 3, we presented results which illustrate
that in addition to bulk concentration of formic acid,electrode potential and potential history, the concentra-
tion of specifically adsorbing anions [13], or the pres-
ence of a high ohmic resistance [15], two other
parameters can be added as important factors in deter-
mining the oscillatory behavior of formic acid. We
demonstrated the strong influence of (i) enhanced and
defined mass-transport to the electrode surface induced
by electrode rotation and (ii) the electrolyte tempera-
ture on the oscillatory instabilities. In what follows, our
aim is neither to propose any detailed mechanism for
oscillations during formic acid oxidation nor to present
any model which reproduces the experimental results,
but rather to report how the enhanced rate of formic
acid oxidation, induced by an increase of both mass-
transport of formic acid and temperature of the elec-
trolyte, may effect the interdependence of the
experimental parameters responsible for complex non-
linear kinetics.
4.1. Formic acid oxidation mechanism and oscillating
surface coerages
It is now well established by various electrochemicaland spectroscopical studies that HCOOH electrooxida-
tion on Pt proceeds via the so-called dual-path mecha-
nism proposed by Capon and Parsons [22] which is
summarized in the following reaction scheme:
According to this mechanism the direct oxidation
path can be ascribed to dehydrogenation of HCOOH to
CO2 via an active intermediate (often referred to as
COOHad, reaction 1) [22]. The CO2 production in the
parallel path can be assigned to a (non-faradaic) dehy-
dration of HCOOH to adsorbed CO (representing one
of several possible products; reaction 2) in a first step
which is followed by the COadoxidation reaction (reac-tion 4). OH adsorption, which is generally assumed to
be necessary for the CO-oxidation reaction, occurs in
3.4. Influence of bisulfate anion concentration on
oscillatory behaior
Fig. 5 shows some potentiostatic current transients
recorded in 35 mM HCOOH containing 5 mM H2SO4electrolyte at 0.47 V (sweep-and-hold experiment in the
negative sweep, 0 rpm). In our previous publication (see
figure 11 in Ref. [13]) no oscillations were observed
with the same amount of sulfuric acid but at slightly
higher potentials (0.53 V) and formic acid concentra-
tion (50 mM HCOOH), indicating the strong influence
of both parameters on the oscillatory behavior. Under
our present experimental conditions, we developed ini-
tially periodic oscillations with very low frequency (ca.
0.1 s1) and a long deactivation period (Fig. 5). In the
third oscillatory wave, however, first instabilities on the
deactivation branch occurred, followed by a sudden
frequency increase in the next current waves. Addition-
ally, the aforementioned current instabilities in the de-
activation period developed to periodically returning
current spikes. The overall current transient behavior
illustrated in Fig. 5 represents so-called mixed-modeoscillations. These are characterized by the appearance
of an oscillation with a large amplitude which is fol-
lowed periodically by a small current spike on the
deactivating branch of the main oscillatory wave (see
insert in Fig. 5). Similar sequences of mixed-mode
oscillations were found for galvanostatic HCOOH oxi-
dation on polycrystalline Pt (2 M HCOONa+0.5 M
H2SO4) [6] and in the potentiostatic oxidation of
HCOOH on Pt(100) (1 M HCOONa+0.5 M H2SO4,
applying a large external ohmic resistance) [15]. In the
latter work the mixed-mode oscillations were explainedby the presence of a chemical species as a second
feed-back variable giving rise to two interacting oscilla-
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T.J. Schmidt et al./ Journal of Electroanalytical Chemistry 500 (2001) 3643 41
acid electrolyte by decomposition of water (reaction
3). In what follows, we propose that the interdepen-
dence of the reaction steps in reactions 1 4 and the
competition for adsorption sites among the reaction
partners and intermediates lead to complex non-linear
kinetics. For example, if the reaction rate kpkox,
then COad accumulates on the surface and poisons
reactions 1, 3 and 4. For these conditions, therefore,the rate of oxidation of formic acid is mostly deter-
mined by the rate of both the formation of OHad [23]
and the oxidative removal of COad through a Lang-
muirHinshelwood (L-H) type reaction [24]. It is im-
portant to note that the rate of the L-H reaction is
strongly affected by the delicate balance between the
coverage of COad, OHad and anions from the support-
ing electrolytes (reaction 5, kA). While anions have
negligible effects on the interaction of COad with the
surface atoms, they indeed have a strong effect on
OHad adsorption [25] and adsorption of formic acid
[13]. Hence, in order to develop a more realistic pic-
ture about the competition of reactants, intermediates
and products for bare Pt sites the anion adsorption/
desorption from the supporting electrolyte must be
incorporated in the reaction scheme proposed above
for the oxidation of HCOOH. In our previous study,
we emphasized that anions play a very important role
in the development of the oscillatory behavior during
the oxidation of HCOOH on the Pt(100) surface [13].
The most important observation from this work is
that by adding small amounts of sulfuric acid (up to 1
mM HSO4
) to the base electrolyte (1 mM HClO4) weobserved an increase in the induction time, tI, and a
decrease of the time in the activated state, tA. AtcH2SO41 mM, no oscillation could be observed any-
more. The same effects were observed by adding small
amounts of the more strongly adsorbing Cl, but at
concentrations three orders of magnitude smaller. The
effects of anions on tI can be interpreted by the afore-
mentioned competition between anions and OHad for
the same adsorption sites (initially starting at defect
sites of the crystal), which in terms of our reaction
scheme implies a decrease of kOH. The time in the
activated state, tA, decreases for the same reasons,
namely the competition of formic acid and anions for
the same Pt surface sites. At this point one may em-
phasize that in order to produce sustained current
oscillations it is necessary to create surface conditions
which allow the system to reach the specific balance of
the individual reaction rates presented in our scheme.
To see this balance in action, we created the sustained
mixed-mode oscillations under specific conditions of
anion and formic acid concentrations (5 mM H2SO4,
35 mM HCOOH), Fig. 5. For similar types of oscilla-
tions on Pt(100) Strasser et al. [15] suggested that theyare triggered and controlled by an additional negative
feed back variable, which gives rise to two interacting
oscillators and consequently to mixed-mode oscilla-
tions. Most importantly, however, they ascribed the
additional negative feed back variable as the result of
the presence of some (unknown) chemical species.
From our experiments, it turned out that these chemi-
cal species may be specifically adsorbing anions, which
can control the adsorption of both OHad and formic
acid molecules.At this point, it is appropriate to note that recently
Strasser et al. pointed out that the presence of a large
ohmic resistance, R, is a crucial parameter to develop
oscillations during formic acid oxidation [15,26]. The
mechanism of action of a large ohmic resistance is
rather simple. The potential drop from the output of
the potentiostat/galvanostat to a point in the bulk
electrolyte in front of the reference electrode, E, is
split into the potential drop across the double-layer
(double-layer potential, DL) and the ohmic potential
drop (E=DL+IR). The latter includes all ohmicdrops, including those from resistors added in series in
the external circuit [27]. Under current flow, at con-
stant E, DL changes when the current changes. In
terms of the dual path mechanism for HCOOH oxida-
tion, the changing double layer potential leads to the
following scenario under potentiostatic conditions
(E=const., R=const). When the current is high as in
the activated state (direct path, reaction 1) the poten-
tial drop across the double-layer is much lower than
E, leading to slow OHad formation rates (reaction 3)
and, as a consequence to COad accumulation on thesurface (reaction 2). Due to the poisoning of the sur-
face by COad the direct path becomes inhibited and
the current decreases. Lower currents, however, in-
crease DL and, consequently, the OHad formation
rate is increased, which, in turn, leads to freeing of
surface sites for the direct path, and a concomitant
rise in the current to complete the cycle. In a simple
picture, the formation of OHad can be switched on
and off periodically like the light in a room by inser-
tion of a large ohmic resistance. It is, however, not
clear whether the presence of an ohmic resistance issufficient to create the oscillatory behavior during for-
mic acid oxidation. Our experiment clearly showed
that simply by varying the concentration of anions one
can control the mode of oscillation. Unfortunately, in
the model proposed by Strasser et al. anion adsorption
is not taken into account [26]. In addition, this model
also cannot explain the oscillatory behavior found un-
der conditions of rather high electrolyte/anion concen-
tration [5,6,9,12,28], i.e. under conditions where the IR
drop seems to be negligible. However, closely follow-
ing Koper and Sluyters [16], a minimum value of theIR drop is necessary to observe oscillations, but this
parameter does not seem to represent a sufficient one.
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T.J. Schmidt et al./ Journal of Electroanalytical Chemistry 500 (2001) 364342
4.2. Current oscillations at defined mass -transport
As mentioned in Section 1, all previous results for the
oscillatory behavior during formic acid oxidation on
platinum single crystal electrodes were obtained on a
stationary electrode. A common shortcoming of this
electrode configuration is that the mass transport of
reacting species is not well controlled, and for lowconcentrations of electroactive species one usually mea-
sures pure transient currents. Transient behavior during
the oxidation of formic acid on stationary electrodes
arises from a slow diffusion of HCOOH through a
relatively thick diffusion layer (200500 m). The best
way to overcome this limitation is to use the RDE
method, where a known pattern of hydrodynamic flow
is imposed on the solution through the Nernst diffusion
layer with thickness of typically 50 m. Conse-
quently, the RDE offers (pseudo) steady state currents
for the oxidation of formic acid even when small con-
centrations of HCOOH are used and relatively fast
sweep rates are applied (Fig. 2). With a more effective
supply of HCOOH to the Pt(100) electrode in RDE
measurements, we can nicely control the surface con-
centration of HCOOH, c0. Thus, RDE experiments
may create very similar conditions to those we achieved
by monitoring the effects of the formic acid concentra-
tion on the oscillatory behavior but on a stationary
electrode [13]. For the latter system, we found that with
increasing formic acid concentration (i) tI increases, (ii)
tAdecreases and (iii) the amplitude of the current spikes
rises. Due to the higher HCOOH bulk concentration,cb, the HCOOH surface concentration, c0, is increased.
Assuming positive order reaction kinetics for formic
acid dehydration (reaction 2), this results in higher
COad formation rates and at constant kOH in slower
rates for the oxidative removal of COad, kox (increasedtI), in agreement with the negative reaction order kinet-
ics for oxidation of solution phase CO [24]. The same is
valid for decreased tA: the higher poisoning rate forces
the system to leave the activated state faster due to a
faster inhibition of reaction 1. The higher amplitude
can be explained by the higher HCOOH surface con-
centration, c0, assuming positive order kinetics for for-
mic acid oxidation (see e.g. Ref. [29] and references
therein). Note, at formic acid concentration above 100
mM, no oscillations could be found anymore [13],
consistent with our supposition that if the rate of
reaction 4 (oxidative removal of COad) becomes con-
stant and is in equilibrium with kp and kOH, the oscilla-
tions will cease and the overall reaction will reach its
steady state.
In RDE measurements, the formation of OHad is a
rotation rate independent process, and consequently the
major effect of the rotation on the oscillatory behaviorshould be discussed in the light of the variation of the
surface concentration of formic acid. Figs. 2 and 3
clearly reveal that the rate of formic acid oxidation and
the activated/deactivated time is increased by increasing
the mass transport of HCOOH (rotation of electrode)
to the electrode. On the other hand, the amplitude and
the frequency are decreased by increasing the rotation
rate, and at 1600 rpm the oscillations cease after ca. 250
s. Interestingly, the steady state current observed after
the oscillatory behavior vanishes represents the deacti-vated state, indicating that the formic acid dehydration
step (reaction 2) is becoming the dominant process with
constant reaction rates while kox, kp and kOH are in
equilibrium. We recall that the same happens on the
stationary electrode, but for a much higher bulk con-
centration of formic acid. Additionally, these experi-
ments may shed some light on the influence of an
ohmic resistance on the oscillatory behavior. Since the
magnitude of an eventually present IR drop in the
electrolyte should not be influenced by electrode rota-
tion, we conclude that the presence of a large IR drop
is not a sufficient parameter to induce the development
of sustained current oscillations during formic acid
oxidation. However, we want to note that the theoreti-
cal model presented in the work by Strasser et al. [26]
does fit their experimental results under their experi-
mental conditions [15], which, in turn, are different
from ours.
4.3. Temperature effects on oscillatory instabilities
The effects of temperature on the oscillatory behav-
ior in the electrochemical oxidation of formic acid onPt(100) are in nature very similar to the rotation effects
discussed above. Most notably, the reaction steps 14
were affected differently by the temperature variation.
As a consequence, the periodicity, the amplitude and
the absolute magnitude of the current oscillations
changed continuously with an increase of temperature.
Recently, we found that the energetics of OH formation
on a platinum single crystal are only slightly affected
over the temperature range of 278 333 K [25]. This
indicates that the temperature has only a minor effect
on the reaction of OH formation (reaction 3 in our
scheme). On the other hand, we showed that the rates
of both the direct and the poison oxidation pathways
of formic acid are enhanced at higher temperatures.
The latter process increases the formation of COadwhich, in turn, can effectively block the sufficient ad-
sorption of OHad required to trigger the transition of
the system from an inactive to an active state. It
appears, therefore, that the temperature has an indirect
effect on the surface concentration of OHad. Due to a
lack of OHad at higher temperature, smaller current
amplitudes are obtained at 318 K than at 298 K, and
the system stays longer in the deactivated, i.e. COadpoisoned state. It is interesting that at 318 K after ca.
150 s the stable relaxational oscillations were slowly
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T.J. Schmidt et al./ Journal of Electroanalytical Chemistry 500 (2001) 3643 43
transformed into a chaotic-like type of oscillation
(Fig. 5). Although the information is extremely limited,
it is reasonable to propose that the development of the
chaotic current spikes after ca. 145 s may tentatively
be ascribed to arise due to some fluctuations of the
thickness of the diffusion layer by thermal motion of
the electrolyte. Nevertheless, regardless of the true na-
ture of the chaotic behavior, our experiments showunambiguously that the main effect of the temperature
on the oscillatory behavior is to convert the complex
non-linear kinetics to steady state oxidation of formic
acid. Fig. 5 shows that at 318 K after ca 300 s the
oscillations ceased completely, indicating that the over-
all rate of reaction is under steady state conditions.
5. Conclusions
We investigated the oscillatory behavior in the kinet-
ics of formic acid electrooxidation on Pt(100) in 1 mM
HClO4 solution. We studied the effect of different
parameters on the oscillatory behavior, viz. defined
HCOOH mass-transport to the electrode surface by
using the rotating disk electrode technique, the temper-
ature of the supporting electrolyte, and the nature of
anions. We suggest that the interdependence of the
reaction steps during HCOOH oxidation, the adsorp-
tion of anions and the competition for adsorption sites
among the reaction partners and intermediates lead to
complex non-linear kinetics. It was evident that once
the individual reactions in the dual path mechanismreach steady state, the oscillations vanish. These condi-
tions can be reached either by enhanced formic acid
reaction rates induced by electrode rotation or by in-
creased temperature. Under specific conditions of anion
and formic acid concentration, relaxational oscillations
can be transformed into mixed-mode oscillations.
Acknowledgements
We want to acknowledge H.A. Gasteiger for helpful
discussions. This work was supported by the Assistant
Secretary for Conservation and Renewable Energy,
Office of Transportation Technologies, Electric and
Hybrid Propulsion Division of the U.S. Department of
Energy under Contract No. DE-AC03-76SF00098.
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