Upload
ufrj
View
0
Download
0
Embed Size (px)
Citation preview
Electrodissolution of cobalt in carbonate/bicarbonate media
J.A. Calderon a,b, O.R. Mattos a,*,1, O.E. Barcia a,c,1, S.I. Cordoba de Torresi d,*,1,J.E. Pereira da Silva d
a Laboratorio de Corrosao Professor Manoel de Castro, PEMM/COPPE/UFRJ, Cx. Postal 68.505, CEP 21945-970, Rio de Janeiro, R.J., Brazilb Grupo de Corrosion y Proteccion, Universidad de Antioquia, P.O. Box. 1226, Medellın, Colombia
c Dep. Fısico-Quımica, IQ/UFRJ, Rio de Janeiro, Brazild Departamento de Quımica Fundamental, Instituto de Quımica, Universidade de Sao Paulo, Sao Paulo (SP), Brazil
Received 25 June 2002; received in revised form 19 August 2002
Abstract
The electrodissolution of cobalt in carbonate/bicarbonate solutions was studied at room temperature by steady state polarisation,
interfacial pH measurements and Raman spectroscopy. The active dissolution of cobalt leads to an initial CoO film formation. The
metal passivation occurs by a slow transformation of the CoO into a Co3O4 oxide. The influence of HCO3� and CO3
2� anions was
investigated. Two different parallel electrochemical processes were proposed to account for the anion role on the electrochemical
steady state behaviour of cobalt in the studied solutions. # 2002 Elsevier Science Ltd. All rights reserved.
Keywords: Cobalt; Dissolution; Carbonate/bicarbonate; Raman spectroscopy
1. Introduction
The electrochemical behaviour of cobalt in alkaline
media has been studied in a large range of pH values,
involving solutions of different nature and composition
[1�/11]. Those studies have evidenced different dissolu-
tion and passivation steps, depending on the nature of
the solution and on the technique used. Cobalt passiva-
tion involves several oxidation states with cobalt oxide
and hydroxide formations as a function of the applied
potential. However, the anion role has been not
sufficiently explained and the composition and structure
of the passive film formatted is still controversial.
In strong alkaline solution and at low anodic polar-
isation it was suggested [1�/3] that cobalt dissolution
results on the formation of Co(OH)2, whereas, at more
positive potentials, Co3O4 or CoOOH species replace
the previous one. The CoO film is responsible for the
initial passivity. In weakly alkaline borate solutions was
found a successive formation of CoO, duplex CoO/
Co3O4 and duplex Co3O4/Co2O3 films, corresponding to
different dissolution/passivation steps [5]. In carbonate/
bicarbonate solutions the hydrodynamic dependence of
the dissolution process was reported [6]. In these media,
the oxides species are similar to those found in borate
[7]. Concerning the anion role, it is proposed that
HCO3� ions are more aggressive to CoO film than
Co2O3 and borate ions do not attack any anodic film
[6,7]. The composition of the surface layer in the
intermediate anodic potential was found to be depen-
dant on the concentration ratio of OH� and HCO3�
ions in solution [8]. Recently, the structure and electro-
chemical proprieties of the duplex anodic layer of CoO/
Co3O4 yielded during potentiodynamic polarisation of
cobalt in carbonate/bicarbonate media were studied by
electroreduction technique [9�/11].
The above works have been performed using mainly
potentiodynamic techniques and the steady state has yet
been little explored. Moreover, most of works on cobalt
dissolution in alkaline media have been focused on
metal passivation and less attention has been paid to the
first steps of dissolution. The present paper mainly
concerns the electrochemical behaviour of cobalt during
metal active dissolution region, from open-circuit po-
tential until the first passivation step. Steady state
polarisation curves, Raman spectroscopy and interfacial
* Corresponding authors. Fax: �/55-21-290-6626
E-mail address: [email protected] (O.R. Mattos).1 ISE members.
Electrochimica Acta 47 (2002) 4531�/4541
www.elsevier.com/locate/electacta
0013-4686/02/$ - see front matter # 2002 Elsevier Science Ltd. All rights reserved.
PII: S 0 0 1 3 - 4 6 8 6 ( 0 2 ) 0 0 5 4 2 - X
pH are the techniques used and the electrolyte are
carbonate/bicarbonate media.
2. Experimental
2.1. Materials
For electrochemical measurements, a classical three-
electrode cell was used. A pure cobalt cylindrical bar
(Johnson Matthey Chemicals Ltd) of 5 mm diameter
(0.2 cm2, exposed area) embedded in epoxy resin was set
as rotating disc electrode (RDE). Saturated sulphateelectrode (SSE) was used as reference and a large area
platinum grid as counter electrode. Before the anodic
polarisation measurements, the working electrode was
polished until 600 grade emery paper, immersed in a 0.1
M H2SO4 solution for 1 min, rinsed with double-
distilled water and finally cathodically polarised in the
working solution for 2 min. The cathodic potential used
was negative enough to cause hydrogen evolution inorder to obtain a free oxide cobalt surface. Polarisations
were carried out in potentiostatic mode and stationary
currents were taken by chronoamperometry using an
AUTOLAB PGSTAT 30. All potential values are given
versus SSE.
The electrolyte consisted of an x M KHCO3�/y M
K2CO3, (x�/0.375, 0.75, 1.5, 2.25, 2.5; y�/0.025, 0.05,
0.1, 0.15, 0.167) mixture with fixed x /y ratio in order tokeep the pH constant at 8.9. The solutions were
prepared from analytical grade chemicals and previously
boiled double distilled water to remove dissolved CO2.
Electrolytes were de-aerated by purging with purified
nitrogen during the whole measurement.
2.2. Local pH measurements
For the pH measurements at the cobalt/electrolyte
interface was used as working electrode a cobalt
electrodeposited 75 mesh Pt screen fixed at the end of
a flat-bottomed pH electrode (Mettler Toledo, mod.
Inlab 426). The pH electrode was connected to a pH
meter, thus measuring the solution pH during the
electrodissolution process. The assembled electrode
was motionless and the solution agitated with the aidof a mechanical stirrer. At these conditions, pH and
current were recorded simultaneously during potentio-
static anodic polarisation.
2.3. Raman measurements
In situ and ex situ Raman experiments were per-
formed during cobalt anodic polarisation using aRenishaw Raman Imaging System 3000, coupled with
a He�/Ne laser from Spectra Physics (Mod. 127, lo�/
632.8 nm), equipped with an Olympus metallurgical
microscope and a CCD detector. For in situ experiments
an electrochemical flow-cell (volume�/4.0�/10�3 dm3)
was used (Fig. 1). In situ Raman experiments were
performed with and without continuous solution reno-
vation. In the first case, the solution flow was regulated
to 10�3 dm3 s�1. A SSE was used as reference and a Pt
spiral wire encrusted on the bottom of the cell was thecounter electrode. With this set up a laminar flow was
achieved.
3. Results
3.1. Polarisation
Anodic steady state polarisation curves of cobalt at 0,100 and 225 rpm in a 0.75 M KHCO3�/0.05 M K2CO3
solution are shown in Fig. 2. It should be noted that a
mixed control on the anodic process in the whole
potential range exists. Different slopes at low and at
high anodic potentials are also observed. The first one
between the open-circuit potential (OCP) and :/�/0.98
V, another one between :/�/0.98 V and the current
density peak potential (Ec.d.p.):/�/0.86 V. The presenceof two slopes in the steady state polarisation curves
suggests that two different electrochemical processes are
likely to be taking place during cobalt anodic polarisa-
tion between the OCP and the Ec.d.p.. Additionally,
Fig. 1. Flow Cell for in situ Raman measurements.
Fig. 2. Steady state polarisation curves of Co in 0.75 M KHCO3�/0.05
M K2CO3, pH 8.9.
J.A. Calderon et al. / Electrochimica Acta 47 (2002) 4531�/45414532
stationary currents at high anodic potentials were more
rapidly achieved (20�/30 min) than those at low anodic
potentials, where 2�/3 h were necessary to obtain
stationary current values. The peak potential (Ec.d.p.) ispractically independent of the RDE rotation rate (V).
After this potential the current gradually decreases due
to the beginning of the first passivation process. During
this passivation process, a dark and adherent film slowly
covers the cobalt surface. The stationary current is
reached after nearly 24 h.
Steady state polarisation curves of Co in different
carbonate/bicarbonate solution compositions at V�/100rpm are shown in Fig. 3. For all the studied solutions,
the general shape of the polarisation curves is the same,
also showing the two slopes already described. The
solution composition was varied from a base solution
concentration of carbonate/bicarbonate. Solutions of
0.5, 1.0, 2.0 and 3.33 times the base solution concentra-
tion were prepared; those were: 0.375 M KHCO3�/0.025
M K2CO3, 0.75 M KHCO3�/0.05 M K2CO3, 1.5 MKHCO3�/0.1 M K2CO3, 2.5 M KHCO3�/0.167 M
K2CO3, respectively. The anodic current density in-
creases with increasing solution concentration for the
same polarisation potential. This effect is more remark-
able on the second slope observed at high anodic
polarisation than at low potentials.
The variation of the current density versus the square
root of the rotation rate is plotted in Fig. 4 for differentpotentials and solution concentrations. A non-linear
behaviour was observed for I versus V 1/2 and I�1
versus V �1/2 relations. The same kind of behaviour was
already reported for copper dissolution [12]. These
relations could be analysed by the expression:
It�I0�1
I�1k � A�1V�1=2
(1)
where, Ik and A are the classical terms obtained by the
Koutecky�/Levich expression. I0 is a non-diffusion
current.
A non-linear fitting of the experiment current using
Eq. (1) was made by the simplex method (full line in Fig.
4). The parameters I0, Ik and A , involved in the fitting
were obtained and the results are given in Table 1 and
Fig. 5. It is possible to note that the three parameters are
influenced by the potential and solution concentration.
3.2. Interfacial pH measurements
Interfacial and bulk pH were monitored during
anodic polarisation of electrodeposited cobalt in 0.75
M KHCO3�/0.05 M K2CO3 solution. The steady state
polarisation and local pH are shown in Fig. 6. Similar
curves were obtained for the other carbonate/bicarbo-
nate solution concentrations. The steady state polarisa-
tion curve of electrodeposited cobalt has the same
behaviour as the pure cobalt cylindrical bar. This
indicates that the deposit was homogeneous and the
anodic electrochemical process during interfacial pH
monitoring can be compared with that of RDE. A
Fig. 3. Steady state polarisation curves of Co in different bicarbonate/
carbonate solutions, pH 8.9, V�/100 rpm. (�/j�/) 0.375 M KHCO3�/
0.025 M K2CO3; (�/m�/) 0.75 M KHCO3�/0.05 M K2CO3; (�/'�/) 1.5
M KHCO3�/0.1 M K2CO3; (�/%�/) 2.5 M KHCO3�/0.167 M K2CO3.
Fig. 4. Variation of anodic current density vs. square root of the
rotation rate in different carbonate/bicarbonate solutions and anodic
potentials, pH 8.9. (a) 0.375 M KHCO3�/0.025 M K2CO3, (b) 0.75 M
KHCO3�/0.05 M K2CO3, (c) 1.5 M KHCO3�/0.1 M K2CO3. (j) �/1.0
V, (m) �/0.97 V, (') �/0.90 V, (%) �/0.87 V, (*/) fitting using Eq. (1).
(V vs. SSE).
J.A. Calderon et al. / Electrochimica Acta 47 (2002) 4531�/4541 4533
constant interfacial pH was observed during cobaltanodic polarisation from OCP to Ec.d.p..
3.3. Raman spectroscopy
In order to analyse the film formed at cobalt electrode
surface during anodic polarisation in carbonate/bicar-
bonate medium, in situ and ex situ Raman spectroscopy
experiments were performed. In all cases, Raman
spectra were taken after the stationary current was
attained. Raman spectra of chemically pure compounds
were also obtained. Fig. 7 shows the Raman spectra of
KHCO3, K2CO3, CoCO3, and Co3O4. Three bands at
634, 675 and 1027 cm�1 are observed on the KHCO3
spectrum, the latter band at 1027 cm�1 being the highest
and more important one. The K2CO3 sample exhibits
only one sharp band at 1059 cm�1. In the CoCO3
spectrum the highest and more important band appears
at 1083 cm�1, together with other bands at 303, 483,
619, 692 and 725 cm�1 of lower intensity. The Co3O4
compound exhibits a broad band in the range of about
450�/700 cm�1. At this region a sharp and high band at
481 cm�1 is remarkable, other bands on the same region
at 522, 619, 671, and 690 cm�1 also appear. This
spectrum is characteristic of spinel structure compounds
like Mn3O4, Fe3O4 and Co3O4 [13].
In situ Raman spectra of cobalt in the 0.75 M
KHCO3�/0.05 M K2CO3 medium without solution
renovation and for different anodic potentials are shown
in Fig. 8. Only the bands at 1014 and 1063 cm�1 appear
in all anodic polarisation conditions. Comparing with
pure samples (Fig. 7), it can be seen that the bands at
1014 and 1063 cm�1 correspond to bicarbonate and
Table 1
Fitting results (from Eq. (1)) of the experimental current
C a E (VSSE) I0 (mA cm�2) Ik (mA cm�2) A (mA cm�2 rpm�1/2)
0.5 (0.375 M KHCO3�0.025 M K2CO3) �1.0 0.03 0.437 0.0147
�0.97 0.07 0.693 0.0174
�0.90 0.05 1.708 0.0405
0.87 0.03 2.552 0.0496
1.0 (0.75 M KHCO3�0.05 M K2CO3) �1.0 0.096 0.823 0.018
�0.90 0.129 3.644 0.076
0.87 0.095 5.083 0.100
2.0 (1.50 M KHCO3�0.10 M K2CO3) �1.0 0.157 1.061 0.048
�0.97 0.263 1.911 0.060
�0.90 0.34 5.17 0.168
0.87 0.30 6.72 0.242
3.0 (2.25 M KHCO3�0.15 M K2CO3) �1.0 0.234 1.293 0.063
�0.90 0.44 8.49 0.290
a C is a factor used to multiply the concentration of the base solution 0.75 M KHCO3�0.05 M K2CO3).
Fig. 5. Dependence of fitting parameters given in Eq. (1) on solution
concentration. ‘‘C’’ is defined on Table 1. (j) �/1.0 V, (m) �/0.97 V,
(') �/0.90 V, (%) �/0.87 V (V vs. SSE).
Fig. 6. Steady state polarisation curve and local pH measurements of
Co in 0.75 M KHCO3�/0.05 M K2CO3. Bulk pH 8.9.
J.A. Calderon et al. / Electrochimica Acta 47 (2002) 4531�/45414534
carbonate compounds, respectively. The band intensities
vary according to the anodic potential. An increase was
observed in the intensity of the band at 1063 cm�1 with
respect to the intensity of the band at 1014 cm�1 with
ncreasing anodic polarisation. At more positive poten-
tials, the relative intensity of the band pointed at 1063
cm�1 is very close to that pointed at 1014 cm�1. These
results suggest that during the electrochemical process
there is a conversion of bicarbonate to carbonate
species, giving rise to a carbonate concentration in-
crease. No cobalt compounds were detected in any
anodic potential condition.
In situ Raman spectra of cobalt in the 0.75 M
KHCO3�/0.05 M K2CO3 medium, with continuous
solution renovation are shown in Fig. 9, for different
anodic potentials. Similar to Fig. 8, only bicarbonate
and carbonate bands at 1012 and 1064 cm�1 are
observed. However, no variation on the relative inten-
sity of the bands was observed at any point on the whole
range of anodic potential. A broad and not well-defined
band at 600 cm�1 is detected but no bands related to
cobalt species were observed in this experimental con-
dition.
It is interesting to remark that, despite the visually
observed changes on the electrode surface appearance,
no cobalt species produced during anodic polarisation
were detected in the in situ Raman experiments. In order
to characterise the grey film formed on the metal
surface, ex situ Raman experiments were needed. Fig.
10 shows in situ and ex situ Raman spectra of cobalt in
0.75 M KHCO3�/0.05 M K2CO3 medium at the peak
potential Ec.d.p.�/�/0.86 V. When the stationary current
was reached, in situ Raman spectra were taken. After
that, the electrode was rapidly washed to remove
possible remaining solution from the surface and then
an ex situ Raman spectrum was taken. A broad band at
522 cm�1 in the ex situ Raman spectrum was observed.
Different from that observed in the in situ spectrum,
neither bicarbonate nor carbonate characteristic band
appears. According to the literature [14,15], the band at
522 cm�1 corresponds to stoichiometric CoO. These
results suggest that the bands observed in the in situ
Raman spectra, shown in Figs. 8 and 9, correspond to
the electrolytic solution Raman scattering and not to
species formed on cobalt surface during anodic polar-
isation. Furthermore, in line with results shown in Fig.
6, the interfacial pH does not change during anodic
polarisation, indicating that free carbonate and bicar-
bonate species remain constant in solution. Therefore,
the carbonate species observed during anodic dissolu-
tion (Fig. 8) seems to be a non-free species produced
during the electrochemical process. The Raman spec-
trum of the cobalt surface was only obtained after
taking off the electrode from the cell and removing the
remaining solution from its surface. Consequently, due
to the strong solution Raman scattering, the metal
Fig. 7. Raman spectra of pro analysis reagents. KHCO3, K2CO3 and Co3O4 from Merck and CoCO3 from Sigma-Aldrich.
J.A. Calderon et al. / Electrochimica Acta 47 (2002) 4531�/4541 4535
surface can be only characterised by ex-situ Raman
measurements. On the other hand, the difference
between Figs. 8 and 9 in connection with the variation
on the relative intensity of the bands (Fig. 8) occurs
because the experiments were performed at different
hydrodynamic setting. This clearly shows that hydro-
dynamic control is necessary to keep constant the
experimental conditions without the influence of dis-
solution products throughout the electrochemical mea-
surements. In general, this point is not taken into
account during in situ Raman works involving electro-
dissolutions processes.
Ex situ Raman spectra of the cobalt RDE in the 0.75
M KHCO3�/0.05 M K2CO3 medium at different anodic
polarisation potentials are shown in Fig. 11. It should be
noted that at OCP (Fig. 11 (a)) no important bands in
the region of interest, between 200 and 1200 cm�1,
appear. Only a small shoulder at 524 cm�1 is present.
Increasing the anodic polarisation, the band at 524
cm�1 increases and becomes more important, as can be
observed in spectra shown in Fig. 11 (b), (c) and (d). At
anodic potentials close to the peak (Ec.d.p.�/�/0.86 V),
the band at 524 cm�1 is high and sharp (Fig. 11 (e)). It is
clear that a continuous increase of crystallinity and
thickness of the CoO film occurs as a consequence of the
metal anodic polarisation. These results are consistent
with most of works in cobalt dissolution in carbonate/
bicarbonate media [6�/11]. The Raman spectrum in Fig.
11 (f) was taken at the cobalt surface after 20 h of anodic
polarisation at �/0.82 V. This potential lies within the
passivation region on the steady state polarisation curve
(Fig. 2). The bands in the Raman spectrum of Fig. 11 (f)
correspond to a new species formed at the cobalt
surface. That new species comes out from the earlier
CoO film. Comparing to Raman spectra of pure
compounds in Fig. 9, it is evident that the bands
Fig. 8. In situ Raman spectra of Co in 0.75 M KHCO3�/0.05 M K2CO3, pH 8.9 without solution renovation, for different anodic potential (V vs.
SSE).
J.A. Calderon et al. / Electrochimica Acta 47 (2002) 4531�/45414536
observed in Fig. 11 (f) are related to Co3O4. No bands
corresponding to bicarbonate or carbonate compounds
were observed in ex situ Raman spectra.
4. Discussion
The electrochemical results seen in Figs. 2�/5 show
that carbonate and bicarbonate are active species that
participate during the charge transfer and mass trans-
port processes. However, as already seen by local-pH
measurements, the interfacial pH is constant. Thisindicates a buffer effect of carbonate/bicarbonate sys-
tem. In the bulk solution, the following equilibrium
must be considered:
Fig. 9. In situ Raman spectra of Co in 0.75 M KHCO3�/0.05 M K2CO3, pH 8.9 with solution renovation, for different anodic potential (V vs. SSE).
Flow solution: 10�3 dm3 s�1.
Fig. 10. In situ and ex situ Raman spectra of Co in 0.75 M KHCO3�/
0.05 M K2CO3, pH 8.9, E�/�/0.86 V vs. SSE.
J.A. Calderon et al. / Electrochimica Acta 47 (2002) 4531�/4541 4537
KHCO3?HCO�3 �K� (2)
K2CO3?CO2�3 �2K� (3)
HCO�3 ?CO2�
3 �H� (4)
The interfacial pH results shown in Fig. 6 can only be
interpreted assuming that non-dissociated KHCO3 and
K2CO3 are in excess at the electrode surface, that
maintains the hydrogen concentration [H�]0 constant.
From Eq. (4) it can be seen that the pH is entirely
defined by the [CO32�]/[HCO3
�] ratio. Consequently, if
the pH in the interfacial region is constant, the ratio of
these species is also constant and the mass transportcannot be directly associated with the existence of a
carbonate/bicarbonate concentration gradient. In this
case, it is necessary to assume that the mass transport
takes place by means of a cobalt complex involving a
carbonate ion. The literature [6] proposes the complex
Co(CO3)22� as the diffusion species away from the
electrode. Therefore, for the present discussion, the
following reactions are considered:
Co�HCO�3 0
k1(CoHCO3)ads�e� (5)
(CoHCO3)ads�HCO�3 ?
k2
k�2
Co(CO3)2�2 �2H��e� (6)
In which (CoHCO3)ads�/u1 is an adsorbed species at
the electrode surface following the Langmuir isotherm.
The charge balance for Eqs. (5) and (6) is:
Fig. 11. Ex situ Raman spectra of Co in 0.75 M KHCO3�/0.05 M K2CO3, pH 8.9, V�/100 rpm, for different anodic potentials: (a) OCP�/�/1.090
V; (b) �/1.030 V; (c) �/1.00 V; (d) �/0.940 V; (e) �/0.880 V; (f) �/0.820 V (V vs. SSE).
J.A. Calderon et al. / Electrochimica Acta 47 (2002) 4531�/45414538
I1
F�K1(1�u1)�K2u1�K�2[Co(CO3)2�
2 ] (7)
where:
K1�k1[HCO�3 ]0 exp
�a1F
RTV
�(8)
K2�k2[HCO�3 ]0 exp
�a2F
RTV
�(9)
K�2�k�2[H�]20 exp
��
(1 � a2)F
RTV
�(10)
The mass balance is:
b du1
dt�K1(1�u1)�K2u1�K�2[Co(CO3)2�
2 ] (11)
Under steady state (du1)/(dt )�/0, thus:
I1
F�2K1K�2K�2[Co(CO3)2�
2 ](1�K) (12)
where:
K�k2 exp
�a2FV
RT
�
k1 exp
�a1FV
RT
�� k2 exp
�a2FV
RT
� (13)
According to the above discussion, the mass transport
can be written as:
I1
F�
2D[Co(CO3)2�2 ]0
d(14)
where d is the Nernst diffusion layer of the complex and
D is its diffusion coefficient. Then:
[Co(CO3)2�2 ]0�
dI1
2FD(15)
Replacing Eq. (15) in Eq. (12) and considering the
diffusion layer as d�LV�1=2; with L as a constant, we
take:
I�11 �
(K1 � K2)
2FK1K2
�K�2
2FDK2
LV�1=2 (16)
Eq. (16) can be compared to the second term of theright side of Eq. (1). To simulate the experimental
results, it is necessary to introduce the non-diffusion
current I0 into the total current expression. According to
Raman spectroscopy results, only cobalt oxide was
detected onto the electrode surface. In Ref. [6] it is
proposed that this oxide is formed directly by an
electrochemical reaction between Co and H2O. It could
be considered that the reaction proposed by [6] gives riseto the I0 current. Nevertheless, as can be observed in
Fig. 5, I0 is influenced by the solution concentration. In
this case, is assumed that the CO32� or HCO3
� ion plays
a catalytic role in the cobalt oxidation process:
Co�CO2�3 0 CoCO3�2e� (17)
CoCO3�H2O 0 CoO�CO2�3 �2H� (18)
The global process is:
Co�H2O 0k3; [(CO3)2�]
(CoO)ads�2H��2e� (19)
The oxide can be dissolved by [H�] as:
(CoO)ads�2H� 0k4
Co2��H2O (20)
where Co2� can be taken as an aqueous complex.
In cobalt oxide formation described by Eqs. (17) and
(18), it makes no difference to take (CO3)2� or HCO3�
ions as the catalytic species, because the global process
given by Eq. (19) is the same. Coupling between I1 and
the non-diffusion current I0 produced by Eq. (19) mustbe considered as:
It�I0�I1 or It�I0�1
I�11
(21)
where It is the total anodic current of the cobalt
dissolution.
Eq. (21) imposes that the surface coverage u1 con-
cerning Eq. (5) must be independent from u2�/(CoO)ads
in Eq. (19). The same was considered for copper
dissolution in which two independent processes were
proposed to share the electrode surface by the para-
meters g and (1�/g) [12]. Taking into account thissurface sharing, Eq. (16) must be re-written as:
I�11 �
(K1 � K2)
2(1 � g)FK1K2
�K�2
2(1 � g)FDK2
LV�1=2 (22)
In the present work, I0 can be calculated indepen-
dently from I1 on the basis of the mechanism described
by Eqs. (17)�/(20), as follows:
Charge balance:
I0
2F�gK3(1�u2) (23)
and, the mass balance:
b du2
dt�K3(1�u2)�K4u2 (24)
with:
K3�k3[(CO3)2�]0 exp
�a3F
RTV
�(25)
K4�k4[H�]20 (26)
Considering the steady state (du2)/(dt )�/0, so:
1�u2�K4
K3 � K4
(27)
Then, the current I0 is:
J.A. Calderon et al. / Electrochimica Acta 47 (2002) 4531�/4541 4539
I0�g2FK3K4
K3 � K4
(28)
Replacing the Eqs. (22) and (28) in Eq. (21), we take:
It�g2FK3K4
K3 � K4
�1
(K1 � K2)
2(1 � g)FK1K2
�K�2
2(1 � g)FDK2
LV�1=2
(29)
It follows from Eq. (1) that:
I�1k �
(K1 � K2)
2(1 � g)FK1K2
(30)
A�1�K�2
2(1 � g)FDK2
L (31)
and I0 is given by Eq. (28).
The complete expressions for the terms in Eq. (1) are:
I0�g
2Fk3k4[H�]20[(CO3)2�]0 exp
�a3F
RTV
�
k3[(CO3)2�]0 exp
�a3F
RTV
�� k4[H�]2
0
(32)
Ik�2F (1 � g)[HCO�
3 ]0k1k2 exp
�F
RTV (a1 � a2)
�
k1 exp
�a1F
RTV
�� k2 exp
�a2F
RTV
� (33)
and:
A�2FD(1 � g)[HCO�
3 ]0k2
k�2[H�]20 exp
��
FV
RT
�L
(34)
As can be seen in Eq. (32), I0 is not influenced by the
mass transport and is potential dependent, in agreement
with the experimental results. The influence of the
solution concentration on I0 is given by the relative
importance of K3 versus K4. The current Ik and the mass
transport coefficient A are both potential dependent and
influenced by solution concentration. The above me-
chanism is able to account for the steady state experi-mental results and can further be used to explain the
EHD and ac impedances in a forthcoming work [16].
The existence of two different slopes in the metal
active dissolution region on the steady state polarisation
curve (Fig. 2) could be explained by the predominance
of one of the two different metal dissolution paths.
Those paths are given by the electrochemical reactions
described on Eqs. (5), (6) and (19) for specific polarisa-tion potentials. Therefore, the currents I1 and I0
obtained by the reaction mechanism already discussed
probably contribute with different weight to the total
anodic current. Actually, the I0/I1 ratio will change
according to polarisation conditions.
5. Conclusions
Steady state polarisation curves of cobalt in carbon-
ate/bicarbonate media present two slopes in the active
dissolution region between the open-circuit potential
and the potential of the first current density peak. The
analysis of polarisation curves indicates an important
influence of carbonate/bicarbonate concentration as
well as of the mass transport on the metal electrodisso-
lution process. The anodic behaviour of cobalt in thismedia can be explained by the coupling of two
independent anodic currents, I0 and I1, as It�/I0�/I1,
where I0 is a non-diffusion anodic current and I1 follows
the Koutecky�/Levich expression. The anion concentra-
tion and polarisation conditions influence both I0 and I1
currents. A kinetic model consistent with an empirical
current expression used to fit the experimental results
was proposed.Raman spectroscopy experiments clearly showed that,
during cobalt anodic polarisation, a CoO film is
generated in the active dissolution region. Metal passi-
vation takes place by a slow transformation of the CoO
precursor oxide into a Co3O4 passive film.
Acknowledgements
J.A. Calderon and J.E.P. da Silva acknowledge
CAPES and FAPESP (Proc. N8 98/15686-3), respec-
tively, for the doctoral scholarships granted. Authors
thank the CAPES, CNPq, FAPERJ and FINEP for
financial support. We also thank the Laboratorio de
Espectroscopia Molecular (IQ/USP) for Raman facil-
ities as well as Dr. Bernard Tribollet (CNRS-Paris) for
fruitful discussions.
References
[1] R.D. Cowling, A.C. Riddiford, Electrochim. Acta 14 (1969) 981.
[2] W.K. Behl, J.E. Toni, J. Electroanal. Chem. 31 (1971) 63.
[3] T.R. Jayaraman, V.K. Venkatesan, H.V.K. Udupa, Electrochim.
Acta 20 (1975) 209.
[4] G.W. Simmons, E. Kellerman, H. Leidheiser, Jr., J. Electrochem.
Soc. 123 (1976) 1276.
[5] N. Sato, T. Ohtsuka, J. Electrochem. Soc. 125 (1978) 1735.
[6] D.H. Davies, G.T. Burstein, Corros. Sci. 20 (1980) 973.
[7] G.T. Burstein, D.H. Davies, Corros. Sci. 20 (1980) 989.
[8] C.A. Gervasi, S.R. Biaggio, J.R. Vilche, A.J. Arvia, Corros. Sci.
29 (1989) 427.
[9] C.A. Gervasi, S.R. Biaggio, J.R. Vilche, A.J. Arvia, Electrochim.
Acta 36 (1991) 2147.
[10] C.A. Gervasi, J.R. Vilche, P.E. Alvarez, Electrochim. Acta 41
(1996) 455.
J.A. Calderon et al. / Electrochimica Acta 47 (2002) 4531�/45414540
[11] C.A. Gervasi, F.E. Varela, J.R. Vilche, Mater. Sci. Forum 289�/
292 (1998) 1057.
[12] E. D’Elia, O.E. Barcia, O.R. Mattos, N. Pebere, B. Tribollet, J.
Electrochem. Soc. 143 (1996) 961.
[13] M.C. Bernard, A. Hugot-Le Goff, B.V. Thi, S. Cordoba de
Torresi, J. Electrochem. Soc. 140 (1993) 3065.
[14] F. Borgatti, L. Braicovich, N.B. Brookes, G. Ghiringhelli, A.
Tagliafferri, J. Electron Spectrosc. Relat. Phenom. 101�/103
(1999) 467.
[15] J. Nan, Y. Yang, Z. Lin, Electrochim. Acta 46 (2001) 1767.
[16] J.A. Calderon, PhD Thesis, COPPE UFRJ, Rio de Janeiro, 2002.
J.A. Calderon et al. / Electrochimica Acta 47 (2002) 4531�/4541 4541