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Optimization of the amount of Nafion in multi-walled carbon
nanotube/Nafion composites as Pt supports in gas diffusion
electrodes for proton exchange membrane fuel cells
Hussein Gharibi a,*, Masoumeh Javaheri a, Mehdi Kheirmand b, Rasol Abdullah Mirzaie c
a Department of Chemistry, Faculty of Science, Tarbiat Modares University, P.O. Box 14115-175 Tehran, IranbDepartment of Chemistry, Faculty of Science, Yasouj University, Yasouj, Iranc Department of Chemistry, Faculty of Science, Shahid Rajaee University, Tehran, Iran
a r t i c l e i n f o
Article history:
Received 20 June 2010
Received in revised form
11 August 2010
Accepted 2 September 2010
Available online 8 October 2010
Keywords:
Catalyst layer (CL)
Gas diffusion electrode (GDE)Oxygen reduction reaction (ORR)
Proton exchange membrane fuel cell
(PEMFC)
Pt support
a b s t r a c t
The Nafion loading in multi-walled carbon nanotube (MWCNT) composites with Nafion
used as Pt support in the oxygen reduction reaction (ORR) has been studied. We varied the
amount of Nafion in these composites and added a Pt loading of 0.3 mg cm2 to the catalyst
layer. The performance of these electrodes in the ORR was measured with linear sweep
voltammetry (LSV), electrochemical impedance spectroscopy (EIS), chronoamperometry,
inductive coupled plasma (ICP), X-ray diffraction (XRD), transmission electron microscopy
(TEM), and scanning electron microscopy (SEM). In addition, we compared the performance
of the MWCNTs as Pt supports with those of the composites. Our results indicate that the
composites are better Pt supports in comparison with MWCNT.
Copyright 2010, Hydrogen Energy Publications, LLC. Published by Elsevier Ltd. All rightsreserved.
1. Introduction
Carbon nanotubes possess a wide variety of remarkable
properties, most notably high electrical and thermal conduc-
tivities, mechanical strength, and large catalytic surface areas,and thus have potential uses in a variety of power generation
and storage devices, including proton exchange membrane
fuel cells (PEMFCs)[1].
Composite electrodes consisting of Pt nanoparticles sup-
ported on multi-walled carbon nanotubes grown directly on
carbon paper (Pt/MWCNTs/carbon paper) have previously
been synthesized by using glacial acetic acid as a reducing
agent [2]. Leeand Hu have successfully developed a simple but
effective method for grafting various chemical reagents onto
the opposite tube-ends of individual carbon nanotubes, as
confirmed with X-ray photoelectron spectroscopy measure-
ments. This approach could be used in the site-selective self-
assembly of both MWCNTs and single-walled carbon nano-tubes (SWCNTs) into a large variety of novel functional
systems with highly controllable structures and various
applications [3,4]. Tang and Wu presented a detailed
comparison of MWCNTs and SWCNTs in an effort to identify
the better supporting carbon material for electrocatalysts in
direct methanol fuel cells (DMFCs)[5,6]. Salvetat et al. found
that the mechanical properties of nanotubes are strongly
dependent on their structures; various types of nanotubes
* Corresponding author.E-mail addresses:[email protected],[email protected](H. Gharibi).
A v a i l a b l e a t w w w . s c i e n c e d i r e c t . c o m
j o u r n a l h o m e p a g e : w w w . e l s e v i e r . c o m/ l o c a t e / h e
i n t e r n a t i o n a l j o u r n a l o f h y d r o g e n e n e r g y 3 6 ( 2 0 1 1 ) 1 3 3 2 5 e1 3 3 3 4
0360-3199/$ e see front matter Copyright 2010, Hydrogen Energy Publications, LLC. Published by Elsevier Ltd. All rights reserved.
doi:10.1016/j.ijhydene.2010.09.008
mailto:[email protected]:[email protected]://www.sciencedirect.com/http://www.elsevier.com/locate/hehttp://dx.doi.org/10.1016/j.ijhydene.2010.09.008http://dx.doi.org/10.1016/j.ijhydene.2010.09.008http://dx.doi.org/10.1016/j.ijhydene.2010.09.008http://dx.doi.org/10.1016/j.ijhydene.2010.09.008http://dx.doi.org/10.1016/j.ijhydene.2010.09.008http://dx.doi.org/10.1016/j.ijhydene.2010.09.008http://www.elsevier.com/locate/hehttp://www.sciencedirect.com/mailto:[email protected]:[email protected] -
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ionomer increases the size of the three-dimensional zone of
catalytic activity and the platinum utilization in the electrode,
and also helps to retain moisture and prevent membrane
dehydration, especially at high current densities. The Nafioncontent in the electrode must be optimized to achieve high
performance. As the platinum loading increases, the electrode
thickness and the Nafion thickness increase, and hence the
optimum Nafion content can depend on the platinum loading
[23e27]. Electrodes with Pt/CNT catalysts sulfonated through
the in situ radical polymerization of 4-styrenesulfonate have
been found to exhibit better performance than their unsulfo-
nated counterparts, mainly because of the easier access for
protons and the well-dispersed distribution of the sulfonated
Pt/CNT catalysts; thus sulfonation improves performance and
reduces the cost of Pt/CNT-based PEMFCs. A half-MEA with an
active area of 1.0 cm 1.0 cm was fabricated by employing
a Nafion 115 membrane and an in-house CNT-based gasdiffusion electrode (GDE) with a platinum loading of approx.
0.05 mg cm2; Nafion electrolytes were not used [28]. In
a previous study [29,30], we prepared a catalyst layer con-
taining a PANIeNafion composite.
In this paper, we introduce a new method for the prepa-
ration of MWCNT/Nafion composites, and our results with
this method are compared with those of other methods. The
main distinguishing feature of this method is in the timing of
the addition of the Nafion solution to the MWCNTs. The
effects of varying the Nafion loading in the catalyst layer on
the electrode performance and the Pt surface area were
investigated; for this purpose we fabricated four electrodes
with different amounts of Nafion (0.5, 0.75, 1, and1.25mgcm2). The performance of these electrodes in the ORR
was compared with that of an electrode with MWCNTs as a Pt
support and a Nafion loading of 1 mg cm2. Furthermore, the
electrodes were characterized with cyclic voltammetry (CV),
linear sweep voltammetry (LSV), electrochemical impedance
spectroscopy (EIS), chronoamperometry, scanning electron
microscopy (SEM), transmission electron microscopy (TEM),
and X-ray diffraction (XRD). The new method was found to
result in better performance and lower resistance.
2. Experimental
2.1. Composite preparation
In this research, we fabricated four composites with various
amounts of Nafion. Since MWCNTs are chemically inert, the
MWCNTs (20e30 nm Aldrich) were functionalized by pre-
treatment with 70% nitric acid in order to introduce surface
oxides before preparation of the composites[3,4,15,18]. In our
Fig. 4 e XRD patterns of GDE1, GDE2, GDE3, GDE4, and GDE5.
Fig. 5e Cyclic voltammetry curves for the GDEs for a scan
rate of 50 mV sL1.
Fig. 6 e IeVcurves of the GDEs in the ORR for a scan rate of
1 mV sL1 at 25 C.
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study, the MWCNTs were refluxed under constant agitation at
120 C in concentrated nitric acid for 12 h. The solid phase was
removed by filtration and washed with distilled water, and the
recovered functionalized MWCNTs were then dried at 80 C
for 12 h.
The composites were prepared from the dried samples and
Nafion solution (5% from Aldrich). Mixtures of functionalized
MWCNTs and various amounts of Nafion solution in 2-prop-anol (Merck), water, and glycerol (Merck) were sonicated for
20 min with a sonicator (Misonix model S-3000) to prepare
homogeneous suspensions; these suspensions were dried at
70 C.
Four MWCN/Nafion composites were prepared, each con-
taining a different amount of Nafion. The resulting electrodes
contained 0.5, 0.75, 1, and 1.25 mg cm2 of Nafion in the
catalyst layer and were named GDE1, GDE2, GDE3, and GDE4,
respectively.
2.2. Preparation of Pt/MWCNT and Pt/composite
(Nafione
MWCNT)
In this step, Pt was deposited on the MWCNT/Nafion
composites. One additional electrode named GDE5 in which Pt
was deposited on functionalized MWCNTs was prepared.
The MWCNT/Nafion composites for GDE1eGDE4 and the
functionalized MWCNTs for GDE5 were vigorously mixed with
H2PtCl6 solution in a 2-propanol (Merck) and water (1:3 v/v)
solvent mixture at 50 C for 6 h. These suspensions were then
heated to 80 C, and the pH of each suspension was adjusted
to 8.5 with a 0.5 M Na2CO3solution. An abundant amount of
sodium formate (HCOONa) [Merck] was added to perform
a chemical reduction for 2 h. Each suspension was then
filtered, washed, and dried at 90 C for 4 h. Our ICP results
indicated that the samples contained 6.7 wt.% Pt, and so GDEs
could be prepared from the Pt/functionalized MWCNTs and
the Pt/MWCNT/Nafion composites.
2.3. Fabrication of the GDEs
For the diffusion layer, a mixture of 30 wt.% PTFE and 70 wt.%
Vulcan in 2-propanol (Merck), water, and glycerol (Merck) was
sonicated for 20 min with a sonicator (Misonix model S-3000)
to produce a homogeneous suspension. The suspension was
rolled onto the carbon paper (TGPH-0120T) (Toray), and the
electrode was dried in air at 120 C for 1 h and then finally
sintered at 340 C for 30 min. The loading of Nafion in the
diffusion layer was fixed at 1 mg cm2 [31,32].
To prepare the catalyst layers in GDE1eGDE4, a homoge-
neous suspension containing the desired amounts of the
Pt-MWCNT/Nafion composite (6.7 wt.%), glycerol (Merck),2-propanol (Merck), and water was sonicated for 20 min. This
suspension was rolled onto the diffusion layer; the electrode
was then dried at 40 C for 30 min and then at 80 C for 30 min.
The Pt loading was 0.3 mg cm2.
To prepare the catalyst layer of GDE5, a homogeneous
suspension containing the desired amounts of Pt/MWCNT
(6.7 wt.%), Nafion solution (5% from Aldrich) in glycerol,
2-propanol, water, and glycerol was sonicated for 20 min. This
suspension was rolled onto the diffusion layer; the electrode
was dried at 40 C for 30 min and then at 80 C for 30 min. The
Pt loading was 0.3 mg cm2.
2.4. Electrochemical measurements
An EG&G Princeton Applied Research Model 273A instrument
was used to determine the electrochemical properties of the
electrodes. The performances of the porous GDEs (geometric
exposed area 1 cm2) in the reduction of oxygen were investi-
gatedin2MH2SO4. All measurements were performed at 25 C
in a conventional three-electrode cell, with O2 flowing at
50 mL min1. The GDEs were mounted into a Teflon holder
that contains a pyrolytic graphite disk as a current collector
and has provision for feeding oxygen from the back of the
Fig. 7 e Graphical representation of the Nafion ionomer
position in catalyst layer.
Fig. 8 e Chronoamperograms of the GDEs in the presence
of O2, E [0.4 V vs. Ag/AgCl, at 25 C, not stirred the
solution.
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electrode. A large area platinum flat electrode was used as
the counter electrode. An Ag/AgCl reference electrode was
placed close to the working electrode surface. A rotating disk
electrode immersed in 2 M H2SO4 with a rotation rate of
1500 rpm was used to perform cyclic voltammetry. The elec-
trochemical cell was connected to a potentiostategalvanostat
(EG&G Model 273A) for IeV polarization measurements and
chronoamperometry, and to a frequency response detector(model 1025) for electrochemical impedance spectroscopy. In
order to perform a quantitative evaluation of resistance
against the ORR, the AC impedance method was used. In the
Nyquist plot of the semicircle diameter,Rpis the polarization
resistance and the sum of the electrode and electrolyte
resistance that was subtracted for these GDEs. The polariza-
tion resistance is the sum of two terms: the charge transfer
and diffusion resistances. Impedance measurement was
investigated in 0.4 V vs. Ag/AgCl potential for obtaining Rp.
This potential is in ohmic resistance region. The AC potential
amplitude was 5 mV, and the frequency range was
10 kHze0.1 Hz. We used impedance measurements to char-
acterize the ionic resistances of the electrodes. At lowfrequencies, a Warburg-like response (45 slope) is observed,
which indicates the occurrence of ion migration through the
Nafion membrane and catalyst layer. The ionic resistance Rioncan be obtained from the length of the Warburg-like region
projected onto the real impedance (Zreal) axis [33,34,35]. For
obtainingRion, the impedance measurement has been inves-
tigated in OCV potential and experimental complex-plane
impedance plots (10 kHze0.1 Hz) for Argon-bathed are shown
inFig. 3.
2.5. Measurements of the physical properties of the
electrodes
A scanning electron microscope (Model XL30, Philips co.) was
used after coating the electrodes surfaces with gold, a trans-
mission electron microscope (TEM/STEM CM Philips 200) was
used to produce the TEM images, and XRD analysis was
carried out for the catalysts by using an XPERT MPD Philips
diffractometer with a Cu X-ray source operating at 40 kV and
40 mA. The XRD patterns were obtained at a scanning rate of
1/min with a step size in the 2q scan of 0.02 in the range
20e100.
The amount of Pt reduced on each support was determined
by using the inductive coupled plasma (ICP) technique (ICP-
OES, Varian Vista-PRO, Australia); for these measurements we
dissolved 5 mg of each sample (synthesized Pt on the
supports) and standard samples (Pt/C 10% and 20% wt) ina mixture of hydrochloric acid and nitric acid (3/1). These
solutions were refluxed at 70 C and then used in the ICP
measurements.
3. Results and discussion
The GDEs (1e5) were prepared with different amounts of
Nafion, as explained inExperimental sectionandTable 1. The
results are shown inFigs. 1e16and inTable 2.
The ICP results indicate that the Pt loading in these GDEs is
0.3 mg cm2 (Fig. 1).
As mentioned above, there are three participants in elec-
trochemical reactions: gases, electrons, and protons. The
reactions can only take place on portions of the catalyst
surface to which all three participants have access. The elec-
trons travel through the electrically conductive solids,
including the catalyst itself, so it is important that the catalyst
particles are electrically connected in some way to the
substrate. Protons travel through the ionomer, so the catalyst
mustalso be in intimate contact with the ionomer. Finally, the
reactant gases travel only through voids, so the electrode
must be sufficiently porous to allow gases to travel to the
reaction sites. At the same time, product water must be
effectively removed or the electrode will flood and prevent
oxygen access. The reactions take place at a three-phase
boundary between ionomer, solid, and empty space[32].
3.1. AC impedance spectroscopy
To gain more information about the GDEs (GDE1eGDE5), the
a.c. impedance spectrum of each electrode was obtained. The
Fig. 9e SEM image of the catalyst layer of GDE1
(0.5 mg cmL2 Nafion in a MWCNT/Nafion composite) at
a magnification of 15,0003.
Fig. 10e SEM image of the catalyst layer of GDE2
(0.75 mg cmL2 Nafion in a MWCNT/Nafion composite) at
a magnification of 15,0003.
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resulting data were obtained at 400 mV vs. Ag/AgCl saturated
with KCl, and were plotted in the Nyquist representation. The
polarization resistance Rp was found to be lower for GDE3,
which contains 1 mg cm2 Nafion in the catalyst layer, than
for the other GDEs. Although the impedance spectra have
similar semi-circularshapes, the diameters of the semi-circles
differ significantly. As shown in Fig. 2, theresistancesof GDE1,
GDE2, and GDE4 are too high in comparison with those of theother electrodes. When the amount of Nafion in the GDEs is
increased from 0.5 to 0.75, the resistance of the electrode
decreases. However, upon an additional increase in the
amount of Nafion, a high resistance is observed, i.e., in GDE4.
The high resistance of this electrode is due to an excess of
Nafion in the catalyst layer. Therefore, we should optimize the
amount of Nafion in the GDEs. One approach is to suggest that
the optimum value of the amount of Nafion arises for the GDE
with the lowest resistance, so GDE3 is then the best electrode.
In the case of GDE5, the ionomer blocks the catalyst sites, so
the resistance of electrode GDE5 is higher than that of GDE3.
The ionic resistance or proton transport of each GDE was
determined by using a half-cell assembly in a conventionalthree-electrode system; the working electrode contained
carbon paper, MPL, catalyst layer, and a Nafion 112
membrane. The results are shown inFig. 3andTable 2: GDE3
has the lowest ionic resistance, which is attributed to its
optimum three-phase zone.
3.2. XRD pattern of platinum
Fig. 4 shows the XRD patterns of the Pt/MWCNT and Pt-
MWCNT/Nafion composite nanocatalysts. The peak at
2q 26.5 corresponds to the (002) planes of the graphitized
MWCNTs and the peaks at 2q 39.8
, 67.5
, and 46.2
areassociated with the (111), (220), and (200) planes of fcc (face
centered cubic) Pt, respectively. These results indicate that Pt
has been successfully reduced. The average sizes of the Pt
particles were calculated from the line broadening of the (111)
peak by using the Scherrer equation after background
subtraction and found to be 0.76, 3.57, 3.59, 1.64, and 0.75 nm
for the five samples, respectively (Table 2).
d 0:9lB2qcosq
(1)
wheredis the average particle size, lis the wavelength of the
X-ray (1.54056 A), q is the angle at the maximum of the peak,
andB2qis the width of the peak at half-height. This variation
in the crystal size of Pt arises because the support of Pt in each
sample is different.These results show that Nafion plays an important role
during the synthesis and that varying the concentration of
Nafion has someinfluence on the formation of the Pt particles,
i.e., the concentration of Nafion influences the reduction of
platinum on the surface of the MWCNTs. In the preparation of
GDE5, the Pt nuclei grew as soon as the reducing agents,
sodium formate (HCOONa), was added to the mixture, i.e.,
before they were covered with Nafion. This growth resulted in
the inferior performance of GDE5 in comparison with those of
GDE2 and GDE3 since some of its Pt particles were masked by
Nafion, which was added to this mixture after the coating of
Pt onto the MWCNT support. Since the Pt particles are covered
with Nafion, the concentration of exposed Pt on the surfaceof the MWCNT support is reduced; therefore, the performance
of GDE5 decreases. This conclusion is verified by the XRD
pattern for GDE3 (seeFig. 4).
3.3. Electroactive surface area (EAS)
The cyclic voltammograms for GDEl, GDE2, GDE3, GDE4, and
GDE5 are shown inFig. 5. The coulombic charge for hydrogen
desorption was used to calculate the electroactive surface
area (EAS) of each electrode (Table 2)[36]:
EAS Qh0:21 Pt (2)
where Qh is the charge forhydrogen desorption (mC cm2)and
[Pt] is the platinum loading (mg cm2) and 0.21 (mC cm2) is
the charge required to oxidize a monolayer of H2on bright Pt.
The roughness factor (Rf) can then be calculated by using the
following equation:
Fig. 11e SEM image of the catalyst layer of GDE3
(1 mg cmL2 Nafion in a MWCNT/Nafion composite) at
a magnification of 15,0003.
Fig. 12e SEM image of the catalyst layer of GDE4
(1.25 mg cmL2 Nafion in a MWCNT/Nafion composite) at
a magnification of 15,0003.
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3.5. Chronoamperometry
The diffusion coefficients of O2in the GDEs were determined
with chronoamperometry. For large electrodes, the informa-
tion obtained was limited by the Cottrellian decay with time.
According to Winlove et al. [38], the time window for these
experiments follows the relation 1 > s1/2 > 0.5, where s isa dimensionless parameter equal to 4Dt/r2. The Cottrell [39]
equation is:
i nFAD=pt1=2C) (6)
where i is the limiting current (mA), n the number of electrons,
Fis the Faraday constant (96485 C mol1),Ais the surface area
of the electrode (cm2),Dis the diffusion coefficient (cm2 s1),t
is the time (s), and C*is the concentration of the reactant.
The highest value of the permeability (D1/2 C*) was
obtained for GDE3 (Fig. 8andTable 2). This result is consistent
with the enhancement of the diffusion of oxygen in the
reaction layer of this MWCNT/Nafion composite due to its
optimum level of Nafion.
3.6. SEM and TEM results
The electrode layer is composed of Pt agglomerates and
a Nafion film. The catalytic layer usually has a dual pore
distribution: micro pores are present in the agglomerates,
and macro pores are located between the agglomerates. The
Nafion is likely to be localized in the macro pores in contact
with the Pt agglomerates. A further complication arises
because reactant diffusion does not often occur in the
gaseous phase through the electrode; instead, the reactant
dissolves in the electrolyte and then diffuses into the solu-
tion. In this model, we expect that the reaction of oxygen
(electro-reduction) is controlled by the following transport
processes: (1) oxygen diffusion into the pore space of the
electrode and dissolution into Nafion; (2) oxygen diffusion
through the Nafion layer; and (3) proton transfer in the
Nafion layer. We carefully controlled the fabrication process
to prevent the effect of fabrication process on the Pt
morphology. We emphasize that the loading of Nafion varies
in the GDEs (GDE1eGDE4), which means that the
morphology of the reduced Pt particles will vary from
support to support, as shown by the XRD results ( Fig. 4).
Fig. 15e TEM image of the catalyst layer of GDE3
(1 mg cmL2 Nafion in a MWCNT/Nafion composite).
Fig. 16e TEM image of the catalyst layer of GDE5
(1 mg cmL2 Nafion).
Table 2 e Tafel slopes, current densities, permeabilities, charge transfer resistances, ionic resistances, electroactive surfaceareas, and roughness factors of the GDEs.
GDE b(mV dec1)
i 104
at 0.9 V (A cm2)(D1/2 C*) 109
(mol cm2 s1/2)EAS
(m2 g1)Rf Rp( ohm) Rion/3 (ohm) d(nm)
1 71 11.3 11.9 15.4 51 1.4 66.7 0.76
2 73 15.1 28.0 39.7 132 1.2 10.9 3.57
3 70 16.8 32.1 44.1 147 0.8 5.3 3.59
4 86 10.4 11.5 22.4 74 1.3 64.6 1.64
5 75 13.7 24.0 36.6 122 1.3 31.0 0.75
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Therefore, a low Nafion content (less than 0.75 mg cm2) is
not desirable since good contact between the catalyst, elec-
trolyte, and reagents is reduced; without such contact the
integrity of the catalyst layer and the membrane, and the
proton conductivity are insufficient. At high ionomer load-
ings (1.25 mg cm2, GDE4), the proton conductivity is
enhanced, but the catalyst active area is then expected to be
limited (Table 2) by the formation of a thick Nafion layer onthe catalyst surface, which then reduces the electro-
conductivity of the Pt layer. We also note that the mechan-
ical integrity of the catalyst layer is insufficient for Nafion
contents below 0.75 mg cm2, which means that the incor-
porated Nafion cannot properly bind the catalyst particles.
At a Nafion content of 1.25 mg cm2, as in GDE4 which
exhibits reduced performance, the thick Nafion layer
reduces the catalyst active area in spite of the enhanced
proton conductivity in the catalyst layer. On the basis of our
results, a Nafion content of 1 mg cm2 (GDE3) optimizes
proton transfer within the catalyst layer without limiting
oxygen diffusion.Figs. 9e13show that the number and size
of the pores are different in each catalyst. Thus the numberand the size of the pores in GDE3 have optimum values,
which improve its performance in the ORR. As we expected,
Fig. 13shows that the Pt/MWCNT surface is covered by the
Nafion ionomer; this means that some active sites are
blocked and the performance of GDE5 in the ORR is inferior
to that of GDE3.
TEM images of GDE2, GDE3, and GDE5 are shown in Figs.
14e16; these images confirm the details of the above
discussion.
4. Conclusion
The influence of the Nafion loading in the catalyst layer
on electrode performance was studied; four different
GDEs were prepared by using MWCNT-Nafion composites
(with varying amounts of Nafion) as Pt supports, and the
performances of these GDEs and of Pt/MWCNT were
compared.
A simple, fast, and energy-efficient method for the prepa-
ration of Pt/MWCNTeNafion composites and Pt/MWCNT
catalysts with high electrocatalytic activity was developed.
We have shown that thetiming of the addition of Nafion to the
catalyst layer is very important and prepared an electrode
(GDE3) that exhibits excellent performance in the ORR. Our
XRD results indicate that the Pt particles were reducedsuccessfully onto the MWCNT-Nafion composites and onto
the MWCNTs, and that the particle sizes were in the range
0.75e3.59 nm. The results for the electrochemical parameters,
such as the current density at 0.9 V, the polarization resis-
tance, and the permeability, indicate that the coating of Pt
with the optimized content of Nafion (namely the GDE3
MWCNT-Nafion composite) exhibits better performance in
the ORR than Pt on MWCNTs and the other electrodes (GDE1,
GDE2, GDE4). The superior performance of this electrode can
be attributedto better reactant accessibility to the three-phase
zone. The present technique can be used as a general method
for the preparation of supported metal particles from metal
precursors.
Appendix. Nomenclature
A geometricarea of electrode
b Tafel slope
B2q width of the peak at half-height
C* concentration of the reactantd average particle size
D diffusion coefficient
D1/2 C*permeability
EAS electroactive surface area
Eeq open-circuit voltage
F Faraday constant
i current density
io exchange current density
MEA membrane electrode assembly
MPL micro pore layer
n number of electrons
OCV open-circuit voltage
Rp polarization resistanceRf roughness factor
S catalyst surface area
t time
h over-potential
q angle at the maximum of the peak
l wavelength of the X-ray
r density
r e f e r e n c e s
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