11, 2983–2989, 2011 Hydronium Adsorption on OOH Precovered Pt111 Surface: Effects of Electrode Potential Do Ngoc Son1 2 ∗, Bach Thanh Cong2, and Hideaki Kasai1 1Graduate School of Engine
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Printed in the United States of America
Nanoscience and Nanotechnology Vol 11, 2983–2989, 2011
Hydronium Adsorption on OOH Precovered
Pt(111) Surface: Effects of Electrode Potential
Do Ngoc Son1 2 ∗, Bach Thanh Cong2, and Hideaki Kasai1
1Graduate School of Engineering, Osaka University, 2-1 Yamadaoka, Suita, Osaka 565-0871, Japan
2Department of Physics, Hanoi University of Science, 334 Nguyen Trai, Hanoi, Vietnam
Using the Density Functional Theory-based total energy calculations, the hydronium adsorption on
the OOH precovered Pt(111) surface is studied The electrode potential is modeled by varying the
electron affinity of the reduction center [OOH+H3O(H2O)]+ Two possible structures of this reduction
center on the Pt surface are HOOH+2H2O and 2(OH)+2H2O Evidently, the dissociation of HOOH
into 2(OH) can be accomplished by changing the electrode potential to the higher value by 0.16 V
The activation energy for the dissociation is approximately 0.1 eV The optimized structures are also
obtained
Keywords: Hydrated Hydronium Ion, Platinum Surface, Electrode Potential, Electron Affinity,
Activation Energy
1 INTRODUCTION
The Pt(111) surface has long been the best
electrocat-alyst for the oxygen reduction (ORR) due to its role
as the rate controlling reaction in electrochemical energy
conversion.1–3 Fully understanding the mechanism of the
oxygen reduction on the Pt surface is highly desirable in
both fundamental and applicable aspects Over the Pt
sur-face in aqueous perchloric and sulfuric acid media, the
oxygen reduction to water can be observed in four-electron
steps in the presence of hydronium ion H3O+, which
comes from the membrane4 5 or appears by the charge
defects in water created by excess protons6 on the
cath-ode of proton exchange membrane fuel cells The overall
ORR is
O2+ 4H3O++ 4e− 6H2O (1)
The four-electron steps of intermediate reactions, which
were introduced in our previous work,7 are proposed as
follows
O2 O2 ad Molecular adsorption (2)
O2 2Oad Dissociative adsorption (DA) (3)
Oad+ H3O++ e− OHad+ H2O
Reductive transition (RT) (4)
O2 ad+ 2H3O++ 2e− 2OHad+ 2H2O
Reductive adsorption (RA) (5)
∗ Author to whom correspondence should be addressed.
OHad+ H3O++ e− 2H2O Reductive desorption (RD)
(6) Reactions (2)–(6) represent two adsorption pathways: One is through the dissociative adsorption (3) that forms adsorbed oxygen atom (Oad on the surface, followed by
a reductive transition (4) from Oad to adsorbed hydroxyl (OH)ad In this pathway, the first electron transfers after
DA of O2; the other pathway is through the molecular adsorption (2), followed by a reductive adsorption (5) in which first electron transfers after the O2 adsorption In both cases, the reaction is completed by the reductive desorption of (OH)ad (6) Experimental and density func-tional theory (DFT) investigations found that O2favorably adsorbs on clean Pt(111) surface, as expressed in (2), in two possible configurations The first is a surface-parallel configuration centered over a bridge site as a -bound
paramagnetic O2− superoxo (bridge) state The second is
a tilted configuration over a three fold fcc hollow site in a
-bound nonmagnetic O2 −peroxo (hollow) state.8–16 The superoxo state is more stable than the peroxo state Both adsorption states are observed at high coverages, but only the peroxo state is observed at low coverages.17 The DA (3) was studied by Yotsuhashi et al.,18wherein O2 dissoci-ates into two Oad atoms as O2approaches to the Pt surface
at a positive value of potential energy corresponding to the O–O distance about 2 Å and the center of mass of O2to Pt surface about 1.5 Å The reductive transition (4) has been done in the work of Son et al.7
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It is important to notice that there are two electrons in
the reductive adsorption reaction (5), which can be further
divided into the following two steps In the first electron
reduction step,
O2 ad+ H3O++ e− OadOH+ H2O (7)
O2 ad gets molecularly adsorbed before the proton is
transferred from the hydronium ion to O2 ad, and
simulta-neously reduces one electron to form an adsorbed end-on
intermediate OadOH on the Pt surface with Oadon top site
The reaction (7) was also investigated in Ref [7]
The second electron reduction can proceed through the
following serial reduction and/or direct reduction in which
the reductive adsorption is continued by succeeding to (7)
in the presence of another hydronium ion
Serial reduction: The relatively stable intermediate
OadOH can be decomposed into adsorbed oxygen and
hydroxyl6with a small barrier yielding coadsorbed oxygen
and hydroxyl (Oad+ (OH)ad,
OadOH Oad+ OHad (8) before interacting with another hydronium and reduces
second electron to form 2(OH)ad as the following reactions
Oad+ OHad+ H3O++ e− Oad+ H2Oad+ H2O (9)
Oad+ H2Oad 2OHad (10) The decomposition is primarily driven by the
chemisorption of hydroxyl.19
Direct reduction: The OadOH intermediate in (7) can
directly interact with another hydronium ion and reduce
the second electron with the following reaction,6
OadOH+ H3O++ e− HOadOH+ H2O (11)
to form an end-on adsorbed hydrogen peroxide HOadOH
This peroxide readily dissociates homolytically to form
2(OH)ad as shown in reaction (12),
HOadOH 2OHad (12)
In this paper, the research shall be focused on the
intermediate reactions (11) and (12) taking into account
the electrode potential of the Pt surface using the
Den-sity Functional Theory Understanding the dependence of
mechanism, structures, and activation energies on the
elec-trode potential is one of main research topics in the
sur-face chemical reaction sciences The formation of (OH)ad
by the electrooxidation of H2O and its potential
depen-dence on Pt electrodes has been studied with a view toward
understanding its mechanism using the non-charge
self-consistent Atom Superposition and Electron
Delocaliza-tion Molecular Orbital models.20 21 This model is high
accuracy for predicting the changes in bond
polariza-tions and hybridizapolariza-tions as a function of electrode
poten-tial However, it was not applicable to predict accurate
potentials, reaction energies, and activation energies for redox reactions under the electrode potential Therefore,
we need a charge self-consistent theory for these
prob-lems An ab initio charge self-consistent theory has been
developed by Anderson’s research group.22 The electrode potential was modeled by varying the electron affinities
of the reactant complex The transition state structures and activation energies were reported for the four one-electron steps of oxygen reduction In order to investigate the effects of electrode potential, an alternative approach would be either to charge the Pt layer, or put the system under the influence of an external field By charging the
Pt layer, the work function of metal is varied A strong electric field across the double layer results in the sur-face charge First-principles computational approach to a charged surface and interface, and the solution–electrode interface, under a bias voltage (an electrode potential)
in the framework of slab models were also introduced
in the work of Otani et al.23 24 The method is called
the Effective Screening Medium-Based First Principles Molecular Dynamics The dependence of activation ener-gies on the electrode potential can also be revealed by using phenomenological models for relating electrode cur-rents to activation Gibbs energies These models is based
on the view point of expanding the activation Gibbs ener-gies about the reversible potential One of these mod-els is the linear approximation, which gives rise to the Butler-Volmer equations and provides insight into the lin-ear regions of Tafel plots of the log of the current density
as a function of the electrode overpotential.25 The other is the harmonic model, which has linear and quadratic terms and a parameter attributed to the solvent reorganization energy accompanying the electron transfer Marcus and others have developed this model based on the transfer equations for characterizing outer-sphere electron-transfer reactions where electron tunneling is associated with a sudden charge in the redox state.26–28
In this work, we study reactions (11) and (12) on the same footing utilizing the Density Functional Theory based on exchange correlation functional, which has been recognized as good method in describing chemical sys-tems When the electron is loaded into the slab, the charge mainly goes to the Pt surface causing the change in the Fermi level The charge will then transfer from the Pt sur-face to the reduction center and enhances its electron affin-ity by varying the applied electrode potential The electron affinity then modifies the optimized geometry of the reduc-tion center
This paper is organized as follows: In Section 2, we give details of the computational method used in this study In Section 3, we sequentially present the simulation results for the reductive transition and the reductive adsorption, and lastly in Section 3, we draw the conclusions
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2 COMPUTATIONAL METHOD
We perform the DFT-based total energy calculations
utiliz-ing the Vienna ab initio simulation package VASP.29–31For
the exchange correlation energy, we use the
Perdew-Burke-Ernzerhof (PBE) derivatives of the generalized gradient
approximation,32which is good for the non-uniform charge
density systems The electron-ion interaction is described
using the projector-augmented-wave (PAW) method33 34
with plane waves up to the cutoff energy of 400 eV
Calcu-lations for the reactions (11) and (12) on the same footing
are performed with a three-layer slab of Pt(111) (4× 4),
and a vacuum space of 14.65 Å in the supercell Each Pt
layer consists of 16 atoms with nearest neighbor distance
of 2.78 Å All Pt atom positions in slab are fixed in the
simulation This causes an error of 0.01 eV in the total
energy calculations as compared with the first-Pt layer
relaxed case We have chosen sufficiently large supercell
to avoid interactions between hydronium ions and
oxy-gen atoms of different unit cells The surface Brillouin
zone integration is done using the special point sample
technique of Monkhorst and Pack with 5× 5 × 1
sam-pling meshes.35 The cutoff energy and the vacuum space
and the sampling meshes are tested to ensure the
con-vergence of calculations In addition, water molecules are
included in the periodic supercell since the water molecule
has a large dipole moment, which gives rise to the
non-negligible effect on the energetic of hydronium ion on the
Pt surface The dipole correction is taken into account in
the simulation.36 37
3 RESULTS AND DISCUSSION
In our previous paper,7 the optimized structure for the
OOH+ H2O formation was found, in which OOH is an
end-on adsorbed on the Pt(111) surface If the next
hydro-nium ion H3O+approaches the OOH+ H2O complex, the
Fig 1 (a) Model for the calculation of potential energy surface The distances from the hydrogen H2 to the Pt surface and to the hydronium ion O3 are denoted by Pt–H and O–H, respectively (b) The potential energy surface as a function of Pt–H and O–H At the minimum energies Min1= −017 eV
at (Pt–H= 3.7 Å, O–H = 1.7 Å), and Min2 = −157 eV at (Pt–H = 2.9 Å, O–H = 2 Å), the HOOH and the separated 2(OH) are formed, respectively.
The dissociation of HOOH into 2(OH) follows the least energy pathway, the arrowed curve.
hydronium ion shall be hydrated by the water molecule before reacting with OOH In this paper, we focus the research on the reaction (11), in which the hydronium ion H3O+ is hydrated by one water molecule, OOH+
H3O+(H2O)+ e−, on the Pt(111) surface We also
investi-gate the effects of electrode potential on the dissociation of HOOH into 2(OH) following the reaction (12) on the same footing The optimized structures, the minimum energies, the activation energies for the HOOH formation and for the dissociation of HOOH into 2(OH), can be obtained by studying the potential energy for the hydrated hydronium ion toward the Pt surface A slab model in Figure 1(a) is used for the calculation of the potential energy surface To avoid confusion, just few important indexes of Pt atoms (labeled 1, 2, and 3) are shown in this figure The opti-mized structure of the OOH intermediate adsorbed with an end on the Pt surface, which was obtained in Ref [7], has the bond distances of Pt1–O1= 2.75 Å, Pt2–O2 = 2.02 Å, O1–O2= 1.44 Å, and O1–H1 = 1.01 Å The distance Pt– H2 of hydrogen H2 to the Pt surface is denoted by Pt–H, and O–H denotes for the distance from H2 to the hydro-nium oxygen O3 The potential energy surface, in general, can be obtained when the H3O+(H2O) complex is moved toward the Pt surface along the slab normal to the oxygen O2 of the OOH intermediate However, in details, for each fixed value of Pt–H, O–H is varied by moving the hydro-nium oxygen O3 along the extended line of O2–H2 In this calculation, Pt atoms and H2 and O3 are fixed while all the others are allowed to relax Fixing Pt atoms causes an error in the total energy calculation of 0.01 eV The total energy of the Pt(111)-OOH+H3O+(H2O)+e−complex as
a function of O–H and Pt–H is obtained and presented in Figure 1(b) This figure is partitioned into three different areas for three different states of the complex denoted by Phase 1, 2, and 3 by the black curves
In Phase 1, the OOH+H3O+(H2O)+e−complex, which
has a large Pt–H above 3.3 Å and a small O–H less than
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1 Å, is in the initial state corresponding to the isolated
H3O+(H2O) over the Pt–OOH
For the large distances of Pt–H (greater than 3.1 Å) and
O–H (greater than 1 Å), the OOH+H3O+(H2O)+e−
com-plex passes through its structure in Phase 2 The hydrated
hydronium ion H3O+(H2O) is closed enough to the OOH
intermediate, and there is the transfer of proton H2 from
H3O+(H2O) to OOH to form HOOH weekly adsorbed on
the Pt surface The minimum energy, Min1= −017 eV at
(Pt–H= 3.7 Å, O–H = 1.7 Å), corresponds to the HOOH
formation This value of minimum energy is originated
from a transition state on the interface (the black line) of
Phase 2 and Phase 3 at (Pt–H= 3.3 Å, O–H = 2.6 Å) The
optimized structure of HOOH+2H2O and the
correspond-ing total charge density are shown in Figures 2(a) and (b),
respectively At Min1, O1 is side-adsorbed on Pt1 while
O2 is on the top of Pt2 O1H1 is almost parallel to the
Pt surface, while O2H2 is in the direction of the surface
normal, and angles (H1O1O2)= 101 and (H2O2O1)=
100 The bond distances of the HOOH formation are
listed in Table I This table shows that O1–H1 is 0.07 Å
shorter, while O1–O2 is 0.02 Å longer, than those of
Fig 2 (a) The optimized structure of the HOOH + 2H 2 O formation on the Pt surface (b) The contour plot of the total charge density of the HOOH +2H 2 O complex (c) The optimized structure of the 2(OH) +2H 2 O formation on the Pt surface (d) The contour plot of the total charge density
of the 2(OH) + 2H 2 O complex.
OOH in the initial state, respectively The calculated dis-tance of O1–O2 is in good agreement with the results obtained in Refs [38–39] The total charge density of the HOOH formation is shown in Figure 2(b), where HOOH is interpreted as a set of the identical center roundish curves closest to the Pt surface The outer most contour curve describes the bonding of HOOH with 2H2O and also the adsorbed state of the HOOH+ 2H2O complex on the Pt surface
As shown in Figure 1(b), there is a gradual transition from Phase 1 to Phase 2 on varying O–H for large enough Pt–H Independently, the OOH+ H3O+(H2O)+ e−
com-plex can also transit directly from Phase 1 to Phase 3 for its initial state with a short enough distance of Pt–H (less than 3.3 Å) Phase 3 is interpreted as the deep well interfacing with Phase 1 for small O–H and with Phase 2 for large O–H As stated before that the calculation of the potential energy surface is obtained by varying each fixed value of Pt–H and O–H is altered to find the minimum energies Thus, for small distances of Pt–H lower than that at Min1 (Pt–H= 3.7 Å, O–H = 1.7 Å) of the HOOH formation, H2 is interpreted as being forced to move toward the Pt
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Table I List of parameters of the HOOH + 2H 2 O and the 2(OH) + 2H 2 O.
Intermediates Pt–O1 (Å) Pt–O2 (Å) O1–H1 (Å) O2–H2 (Å) O1–O2 (Å) Minimum energy (eV) Fermi energy of Pt Slab (eV)
∼ 150 b
surface This enforcement is possible by varying the
elec-trode potential.39 When H2 is forced to lower positions,
the reduction center [OOH+ H3O(H2O)]+ passes through
its structure in Phase 3 The minimum energy, Min2=
− 157 eV at (Pt–H = 2.9 Å, O–H = 2 Å), corresponds
to the two separated OH formation on the Pt surface,
2(OH)+ 2H2O The optimized structure of 2(OH)+ 2H2O
and the corresponding total charge density are presented
in Figures 2(c) and (d), respectively The energy difference
of Min1 and Min2 is 1.4 eV Figure 2(c) shows that O1
and O2 adsorb on the top of Pt1 and Pt2, respectively, and
the hydrogen H1 intervenes between O1 and O2
separat-ing these two oxygen atoms The bond distances in the
2(OH)+ 2H2O formation are also pointed in Table I One
found that Pt–O1 and Pt–O2 are decreased and shorten
by 0.98 Å and 0.7 Å, correspondingly, compared to those
of HOOH+ 2H2O It means that O1 and O2 are much
stronger bound on the Pt surface The bond distance of
O2-H2 is the same for both cases while O1–H1 and O1–O2
increases by 0.03 Å and 1.18 Å, respectively, compared to
those of HOOH+ 2H2O Additionally, the obtained value
of O1–O2 is comparable to that in the work of Ref [39]
The significant change in the O1–O2 distance occurs by
the intervention of the hydrogen H2 between O1 and O2
This intervention stems from H2 was forced toward the
Pt surface, which can be done by changing the electrode
potential making the variation in the electron affinity of
the reduction center [OOH+ H3O(H2O)]+, which shall be
discussed later in this manuscript Additionally, it can be
seen that O1–H1 is 0.04 Å shorter than that of OOH
in the initial state This change in O1–H1 stabilizes the
partially occupied ∗ orbitals of oxygen O1 The total
charge density of the 2(OH)+ 2H2O formation is shown
in Figure 2(d), where 2(OH) is presented by two sets of
the identical center roundish curves, while in the case of
HOOH+ 2H2O is only one set, closest to the Pt slab
sur-face The presentation of the total charge densities could
help us to distinguish the difference between the HOOH
formation and the 2(OH) formation The outer most
con-tour curve describes the bonding of 2(OH) with 2H2O,
also the adsorbed state of the 2(OH)+ 2H2O complex on
the Pt surface
Figure 1(b) also shows that there is a possibility for the
reduction center transit from Phase 2 to Phase 3 along the
least reaction pathway as described by the arrowed curve
The transition must overcome a barrier at the interface of these two phases This transition is understood as the dis-sociation of HOOH into 2(OH) The activation energy for this dissociation is directly related to the classical barrier height, i.e., the energy difference between the maximum energy of the saddle point at (Pt–H= 3.0 Å, O–H = 1.2 Å) and the energy Min1 Thus, the transition from Phase 2
to Phase 3 corresponding to the dissociation of HOOH into 2(OH) must overcome an activation energy of about 0.1 eV
As aforementioned, the potential energy surface was obtained by varying Pt–H and O–H For each fixed Pt–H, O–H is gradually changed by fixing O3 at different posi-tions to obtain the optimized structures of the reaction center This method is equivalent to applying the elec-trode potential onto the Pt slab If the elecelec-trode potential
is altered, the Fermi level of the slab is varied, leading to modify the amount of electron transfer from the Pt slab
to the reduction center [OOH+ H3O(H2O)]+ adsorbed on the surface, and hence, modifying the electron affinity of the reduction center Due to the thermal fluctuations, if the electron affinity matches the electron chemical potential of the Pt slab, the reduction center will pass through its struc-tures that are of HOOH+ 2H2O or 2(OH)+ 2H2O The electron chemical potential of the Pt electrode is the neg-ative of the work function.39 Thus, the electron affinity,
EA, is
EA = − = −Evacuum− EFermi (13) Here, the vacuum level and the Fermi level of Pt slab are denoted byEvacuumandEFermi, respectively In order to obtain the vacuum level, the potential energy as a function
of z along the surface normal is calculated The obtained
curve presented in Figure 3 is the local potential of the Pt slab, in which the average vacuum level is approximately
Evacuum= 469 eV.
Different structures of the reduction center were obtained, which are of HOOH+2H2O and 2(OH)+2H2O The corresponding Fermi levels for these structures, as shown in Table I, are −0.55 eV and −0.71 eV, respec-tively Using Eq (13), the electron affinities of these two structures can be obtained, correspondingly,EA1= −524
eV and EA2 = −54 eV The work functions are also
deduced that are 1= 524 eV and 2= 54 eV,
respec-tively The difference of the two electron affinities is 0.16 eV
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Fig 3 Local potential of the Pt(111) slab The curve is flat for z ranging
from 1 to over 4 The average of the flat part of the local potential
corresponds to the average vacuum level of the Pt slab The average
vacuum level is 4.69 eV.
On the scale of the standard hydrogen electrochemical
potential, the electrode potentialU is given as
As determined by (14), 2(OH) is formed at the electrode
potential of 0.8 V for2= 54 eV This value of the
elec-trode potential is within the 1.23 V reversible potential
on the standard hydrogen scale, and closed to the
work-ing voltage of the cathode of the proton exchange
mem-brane fuel cells around 0.8 V on Platinum electrodes.40
The electrode potential of 0.8 V is 0.2 V greater than of
the OH formation from water decomposition on platinum
electrodes
The difference of electrode potentials of the two
struc-tures in Phase 3 and Phase 2,U , is
U = U2− U1=2− 1
e = 016 V (15)
From the above analysis, it is found that the dissociation
of HOOH into 2(OH) can be done by applying a more
positive potential of 0.16 V onto the Pt electrode
In order to understand how much charge variation of the
reduction center corresponding to the 0.16 eV difference
in the electron affinity, the Bader charge shall be analyzed
in the following section
In Table II, the Bader charge of atoms in the reduction
center was calculated The Bader charge of H2 is zero in
both cases, and H2 remains its role as a proton of the
reduction center Oxygen atoms gain charge while other
Table II Bader charge of the HOOH + 2H 2 O (Phase 2) and the 2(OH) + 2H 2 O (Phase3); (−) charge loss, (+) charge gain.
Structure O1 (e) O2 (e) O3 (e) O4 (e) H1 (e) H2 (e) H3 (e) H4 (e) H5 (e) H6 (e) Total gain (e) Phase 2 +09893 +09902 +19848 +19605 −09997 0 −09988 −09994 −09989 −09994 +09286
Phase 3 +13347 +14124 +19975 +19701 −09999 0 −09988 −09995 −09986 −09984 +17195
hydrogen atoms loose its charge The charge gain of oxy-gen atoms attains from hydrooxy-gen atoms and from the Pt slab The total charge gain of the reduction center from the
Pt slab is approximately+093e and +1.72e for Phase 2
and Phase 3, respectively These amounts of charge mainly
go to oxygen atoms O1 and O2, as shown in Table II When the charge of O1 and O2 increases, the repulsive force between these oxygen atoms also increases, pushing them far from with each other, and hence, giving the space between O1–O2 for H2 to occupy The distance O1–O2
is increased, as shown in Table I, to form two separated
OH adsorbed on the Pt surface When the Pt electrode is applied with the more positive potential of 0.16 V com-pared to the case of the HOOH formation in Phase 2, the Fermi level of the electrode is decreased from−0.55 eV to
−0.71 eV, increasing the electron transfer from the elec-trode into the reduction center This change in the electron transfer varies the electron affinity of the reduction center, arranging the optimal structures in Phase 2 and Phase 3
as the electron affinity of the reduction center matches the electron chemical potential of the Pt slab As have seen
in the above analysis, the O1–O2 is stretched, while O1– H1 is shrunken, compared to OOH in the initial state The stretching of the O1–O2 bond stabilizes the partially occu-pied∗ orbitals of O1 and O2, while the shrinking of the
O1–H1 bond stabilizes the partially occupied ∗ orbitals
of O1 and O2, increasing the electron affinity of the reduc-tion center as obtained in the upper part
The effects of the electric double layer and the trode potential are incorporated by introducing excess elec-trons to a metal-solution interface slab model,22 where
a compensating uniform background charge was artifi-cially inserted to the vacuum layer to measure the applied electrode potential In this work, a comparison of two adsorbed states in Phase 2 and Phase 3 are mainly con-cerned with The hydrated hydronium ion is formed as adsorbed on the OOH precovered Pt(111) surface so that
an electron of hydrogen atom H2 is transferred to the Pt-OOH This model is neutral, and hence, the uniform back-ground charge is not required.41
4 CONCLUSION
In this work, we have studied the formation of HOOH and 2(OH) on the Pt surface and the transition of the former into the latter on the same footing and clarified the effects
of the electrode potential using the density functional the-ory On varying the position of proton, the potential energy surface was obtained by changing the bond distance of the
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proton and the hydronium oxygen to find the optimized
structures of the reduction center [OOH+H3O(H2O)]+ By
this way, the electron affinity of the reduction center was
varied, and hence, the electrode potential takes its effects
The change in the electron affinities of HOOH+2H2O and
2(OH)+ 2H2O is 0.16 eV corresponding to the 0.16 V
variation of the electrode potential This research evidently
shows that the dissociation of HOOH into 2(OH) can be
done by changing the electrode potential The activation
energy for the decomposition of HOOH into 2(OH) is
about 0.1 eV
Acknowledgments: This work is partly supported by
the Ministry of Education, Culture, Sports, Science and
Technology of Japan (MEXT) through the Grants-in-Aid
for Scientific Research (A19206007) and (A20246011)
and through the Special Coordination Funds for the Global
Center of Excellence (COE) program (H08) “Center of
Excellence for Atomically Controlled Fabrication
Tech-nology.” One of the authors (Do Ngoc Son)
acknowl-edges the funding from the Marubun Research Promotion
Foundation
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Received: 31 January 2010 Accepted: 15 March 2010