M. Pasta et al. / Electrochimica Acta 55 (2010) 5561–5568
5567
Fig. 14. Schematic of the formation of the oxidative peak in the cathodic scan. (a) As long as the potential of the electrode is below 1.05 V vs. RHE glucose can adsorb to the gold
surface, first step of the oxidation reaction. (b) At potential higher than 1.05 V vs. RHE gold surface is oxidized to gold hydroxide, inactive toward glucose electro-oxidation
(
c) during the cathodic scan gold is reduced at potentials around 0.6 V vs. RHE, glucose can adsorb again and get oxidized, generating the oxidative peak in the cathodic scan.
The different in potential for gold hydroxide formation and reduction is due to overpotential.
of the gold electrode, ꢂ the electric potential of the solution at
except glucose is neglected (like in the fluorides). The simulations
H
the Helmholtz plane (dH in Fig. 12), and ˚I the electric potential in
the inner Helmholtz layer. The electric field in the inner Helmholtz
layer is not constant, due to the presence of the gluconate, which is
a charged species (see Fig. 12). In Fig. 12 the current flow through
the electrode is reported. The correlation between the fraction of
the occupied sites of the different compounds and the reaction rates
is given by:
should be compared with Fig. 10. The effect of the parameter r on
reaction (1) is negligible, while it is very important in the shape of
the cyclic voltammetry curve above 0.3 V vs. RHE. When r = ∞, most
of the dehydrogenated glucose is oxidized to ␦-gluconolactone near
0.6 V vs. RHE. The desorption of ␦-gluconolactone does not involve
current flow; a limiting current is reached. After the formation of
gold hydroxide (at 1.05 V vs. RHE) the oxidation of glucose stops,
and the surface desorbs all the adsorbed species. Decreasing the
potential, the reduction of gold hydroxide generates new gold sur-
face, active to the oxidation of glucose (Fig. 14). The peak (*) is
observed in the simulations. Its intensity is much higher than in
experimental data, due to the fact that diffusion has not been con-
sidered. Under these conditions, the limiting reactant is the number
of active sites at the gold surface, which is immediately saturated.
By decreasing the value of r, the intensity of the peak (*) decreases.
This is an effect of the gluconate. The gluconate is a negatively
charged species and therefore is attracted to the surface of the
electrode at high voltages. When the potential of the electrode is
increased, the gluconate desorbs much more slowly than the ␦-
gluconolactone, therefore less active sites are available when the
glucose oxidation starts again.
ꢀ
dꢁ
dt
dꢁ
ꢀNI
ꢀNI
ꢀNI
= −ꢀr + ꢀr + ꢀr
1
2
3
ꢀ
ꢀ
= −ꢀr − ꢀr
(6)
2
ad,1
dt
ꢀ
ꢀꢀ
dꢁ
dt
= −ꢀr − ꢀr
3
ad,2
where ꢀ is the distance between the surface of the electrode and
the Helmholtz plane, and rad,1 and rad,2 are the reaction rates of the
desorption of the gluconate and the ␦-gluconolactone, respectively.
The desorption reaction rates can be expressed by:
rad,1 = kad,1,RNIꢁ − kad,1,OaGꢀꢀ (1 − ꢁ − ꢁ − ꢁꢀꢀꢀ)(aAu
ꢀ
ꢀ
ꢀ
ꢀꢀ
m
)
(7)
rad,2 = kad,2,RNIꢁ − kad,2,OaGꢀꢀꢀ (1 − ꢁ − ꢁ − ꢁꢀꢀꢀ)(aAu
ꢀ
ꢀꢀ
ꢀ
ꢀꢀ
m
)
Fig. 15 shows the simulated results of the effect of adsorption
on the peak (*). The figure reports two curves, simulating the pres-
with the kinetic parameters equal to:
−
−
ꢂ
ꢃ
ꢂ
ꢃ
ence of F (no adsorption) and Cl (chemisorption) respectively.
F(˚ − ˚ )
F(˚ − ˚ )
kad,1,R
I
H
kad,1,O
I
H
−
As expected from the experimental data, the presence of Cl par-
=
exp
−
,
= exp
kad,1,R,0
2RT
kad,1,O,0
2RT
tially blocks the active sites, thus decreasing the intensity of the
−
k
k
peak (*). We want to stress that in the case of Cl adsorption, the
ad,2,R
ad,2,O
=
1,
= 1
kad,2,R,0
kad,2,O,0
reaction rate for each step in the oxidation of glucose decreases, as
observed in the experimental section (see Fig. 6). The simulations
support the mechanism we have proposed for the generation of the
peak (*) and the influence of the other species in the electrolyte on
its intensity.
(8)
We want to stress that the reaction of desorption of glu-
conate involves charged species, therefore passage of reductive
current, as reported in Fig. 12. On the other hand, desorption of
␦-gluconolactone does not involve passage of charged species.
To prove that the proposed mechanism can justify the presence
of the oxidative peak (*), simulations of the oxidation of glucose
were made using a program compiled with MATLAB 7.0. From an
intuitive point of view, when the activity of gold at the surface
decreases (due to the formation of gold hydroxide), the reaction
rates r , r , and r slow down, while reaction rad,1 and rad,2 become
1
2
3
more positive. The result is a decrease of the adsorbed species.
When the oxide is reduced, the naked gold surface is ready to oxi-
dize the glucose. We will demonstrate that the ratio of the reaction
rates of the two alternative mechanisms of formation of the glu-
conate (reactions (2) and (3)) is relevant in observing the oxidative
peak (*) (see Fig. 1). The simulations do not include transport phe-
nomena, nor the activity coefficients of the species, therefore it
is not expected to completely reproduce the experimental cyclic
voltammetry curve. Nevertheless, the main features (number of
peaks and the peak (*)) should be reproduced.
The fixed parameters of the simulations are given in Table 1. The
parameter r is the ratio between kd,2 and kd,3. In Fig. 13 the simula-
tions for different values of r are reported. Absorption of other ions
Fig. 15. Simulation of the electrochemical oxidation of glucose, with r = 0. Green no
adsorption, red adsorption (100 mM). (For interpretation of the references to colors
in this figure legend, the reader is referred to the web version of this article.)