We demonstrate that the reduction of p-nitrophenol to p-aminophenol by NaBH4 is catalyzed by both monometallic and bimetallic nanoparticles (NPs). We also demonstrate a straightforward and precise method for the synthesis of bimetallic nanoparticles using poly(amido)amine dendrimers. The resulting dendrimer encapsulated nanoparticles (DENs) are monodisperse, and the size distribution does not vary with different elemental combinations. Random alloys of Pt/Cu, Pd/Cu, Pd/Au, Pt/Au, and Au/Cu DENs were synthesized and evaluated as catalysts for p-nitrophenol reduction. These combinations are chosen in order to selectively tune the binding energy of the p-nitrophenol adsorbate to the nanoparticle surface. Following the Brønsted-Evans-Polanyi (BEP) relation, we show that the binding energy can reasonably predict the reaction rates of p-nitrophenol reduction. We demonstrate that the measured reaction rate constants of the bimetallic DENs is not always a simple average of the properties of the constituent metals. In particular, DENs containing metals with similar lattice constants produce a binding energy close to the average of the two constituents, whereas DENs containing metals with a lattice mismatch show a bimodal distribution of binding energies. Overall, in this work we present a uniform method for synthesizing pure and bimetallic DENs and demonstrate that their catalytic properties are dependent on the adsorbate's binding energy.
We demonstrate that the reduction of p-nitrophenol to p-aminophenol by NaBH4 is catalyzed by both monometallic and bimetallic nanoparticles (NPs). We also demonstrate a straightforward and precise method for the synthesis of bimetallic nanoparticles using poly(amido)amine dendrimers. The resulting dendrimer encapsulated nanoparticles (DENs) are monodisperse, and the size distribution does not vary with different elemental combinations. Random alloys of Pt/Cu, Pd/Cu, Pd/Au, Pt/Au, and Au/CuDENs were synthesized and evaluated as catalysts for p-nitrophenol reduction. These combinations are chosen in order to selectively tune the binding energy of the p-nitrophenol adsorbate to the nanoparticle surface. Following the Brønsted-Evans-Polanyi (BEP) relation, we show that the binding energy can reasonably predict the reaction rates of p-nitrophenol reduction. We demonstrate that the measured reaction rate constants of the bimetallic DENs is not always a simple average of the properties of the constituent metals. In particular, DENs containing metals with similar lattice constants produce a binding energy close to the average of the two constituents, whereas DENs containing metals with a lattice mismatch show a bimodal distribution of binding energies. Overall, in this work we present a uniform method for synthesizing pure and bimetallic DENs and demonstrate that their catalytic properties are dependent on the adsorbate's binding energy.
Catalysis at the nanoscale has attracted
significant attention
in the past two decades due to the unique properties of materials
that arise at the nanoscale.[1] Following
the discovery by Valden et al.[2] of catalytically
active gold nanoclusters, gold, in particular, has become the basis
for novel catalysts due to its activity at the nanoscale. Metal nanocatalysts
have found a wide range of applications including CO oxidation,[3] carbon nanotube nucleation,[4] alcohol dehydrogenation,[5] and
formic acid electrooxidation.[6] In particular,
nanocatalysts have played an extensive role in fuel cell catalysts
by reducing oxygen[7,8] and oxidizing methanol.[9] Theoretical tools have allowed for the prediction
of novel catalysts for oxygen reduction,[10] olefin/paraffin separations,[11,12] and ammonia synthesis.[13]Bimetallic nanoparticles are particularly
useful due to the additional
degrees of freedom–composition and structure–that may
be adjusted in order to improve catalytic behavior. Bimetallic catalysts
frequently display catalytic activity that is higher than either constituent
material. For instance, two epitaxially grown overlayers of Pd on
Au have been predicted to bind CO stronger than either pure metal.[14] Similar effects have been exploited in the Ni/Au
bimetallic system in order to design a steam reforming catalyst with
a higher efficiency.[15]The interplay
between geometry and electronic structure has been
extensively studied both theoretically and experimentally for bimetallic
systems in order to determine how these factors affect the catalytic
properties of these materials.[16] The role
of electronic structure in metals, specifically the d-band center, was first
modeled by Newns[17] and later expanded upon
with first principles calculations by Hammer and Nørskov.[18] This model, which relates the d-band center with binding energy, has been applied to CO adsorption
on bimetallic systems,[19] hydrogenation
of olefins by bimetallics,[20] nitrobenzene
hydrogenation by bimetallic nanoclusters,[21] and many other surface reactions.First-order surface reactions,
which are of particular importance
for catalysis, are typically constrained to a linear relationship
between adsorption energy and reaction rate. This correlation, the
Brønsted–Evans–Polanyi (BEP) relation,[22,23] has been demonstrated to fundamentally constrain many surface reactions.[24] The BEP relation predicts that strong adsorption
energies to the surface result in faster reaction rates for first-order
surface reactions.In practice, the turnover frequency of a
catalyst is limited in
both the weak binding and strong binding regimes. In the strong binding
regime where the BEP relation shows the smallest reaction barriers,
the catalytic performance is limited by the desorption of products.
In the weak binding regime, the reaction rate is limited by the large
activation energies predicted by BEP. An optimal catalyst will balance
these two regimes such that the barriers are low enough to be overcome
and that the adsorbed molecules may diffuse and desorb from the surface.The balance between these two regimes is described graphically
by the so-called volcano plot.[25] The volcano
plot, a scatter plot of turnover frequency as a function of adsorption
energy, peaks at the center and avoids both the weak and strong binding
limits. By using bimetallic DENs, we demonstrate that a catalyst for p-nitrophenol (PNP) reduction may be designed by tuning
DEN composition and structure in order to bind the product molecule
with an adsorption energy closest to the peak in the volcano plot.PNP, as with other nitrophenols and derivatives, is a common byproduct
from the production of pesticides, herbicides, and synthetic dyes.[26] PNP is easily reduced by NaBH4 in
the presence of metals in solution.[27,28] Coinage metals,
in particular, have been demonstrated to be excellent catalysts for
PNP reduction at the nanoscale.[29] Bimetallic
coinage metal nanoparticles have been demonstrated to catalyze PNP
reduction with rates that strongly differ from a simple linear interpolation
between the rates of the two pure metals.[30] These types of bimetallic nanoparticles may be easily synthesized
in solution with dendrimer encapsulation methods that allow for precise
control over particle size and composition.[31,32]Experimentally, PNP has a strong absorption at 400 nm,[33] which allows for an easy and reliable means
to measure reaction rates by UV–vis spectroscopy. The overall
reaction rate is pseudo-first-order when both the metal catalyst and
NaBH4 are in excess.[34] The reduction
of PNP is, thus, an ideal model system for demonstrating the BEP relation
for pseudo-first-order reactions and the tunability of bimetallic
nanoparticles in order to produce an optimal catalyst. Reduction of
PNP on Au nanoparticles has been demonstrated to follow Langmuir–Hinshelwood
mechanism statistics.[35] In this mechanism,
both molecules adsorb onto a surface before undergoing the bimolecular
reaction. When NaBH4 is in excess, the rate is controlled
by the adsorption of PNP.We apply a joint computational–experimental
approach in
order to tune the reaction rate of PNP reduction by adjusting the
composition of the metal nanoparticle catalysts. In particular, we
show that the BEP relation accurately represents this type of multistep,
pseudo-first-order reaction and that bimetallic DENs can be used to
approach the peak in the resulting volcano plot. This systematic study
demonstrates that theoretically predicted adsorption energies onto
simple bimetallic surfaces provide a simple and accurate predictor
for catalytic reaction rates in pseudo-first-order reactions. We note
that when the lattice constants of the constituent metals of the bimetallic
nanoparticles are similar, the resulting properties are essentially
a linear combination of the properties of the two pure metals. In
contrast, large lattice constant mismatches result in a bimodal distribution
of catalytic properties.
Methods
Experimental Details
The synthesis of AuCu, PdCu, and
PtCuDENs was reviewed by Yeung and Crooks.[36] Hoover et al.[37] also described the synthesis
of PtCu. The synthesis of PtPd was described by Ye and Crooks.[38] Scott et al.[39] described
the synthesis of PdAu. Preparation of PtAu bimetallic particles by
cocomplexation in G6-OH dendrimers has not been previously reported,
but the UV–vis spectra presented here match those for bimetallic
PtAuDENs prepared by Lang et al.[3] using
galvanic exchange.
Materials
NaBH4 was purchased
from EMD,
HAuCl4 was purchased from Acros Organics, CuSO4 was purchased from Mallinckrodt, and both K2PdCl4 and K2PtCl4 were purchased from Alfa
Aesar. All chemicals were used as received, without further purification.
All solutions were prepared with water acquired from a Barnstead NANOpure
Diamond UV Deionization System, >18.2 MOhm·cm (denoted as
“nanopure
water”). G6-OH PAMAM dendrimer (13.22% w/w in methanol) was
a donation from Dendritech, Inc.
G6-OH(M55-56) DEN Synthesis
Each dendrimer solution
was prepared by evaporating the methanol from 5.46 μL of G6-OH
PAMAM dendrimer in a 20 mL vial (I-Chem) with septum cap. The dendrimer
was hydrated with enough nanopure water to result in a final volume
of 10 mL and a final dendrimer concentration of 1 μM after the
addition of metal salt, the pH adjustment, and the addition of reductant.
For a 55 molar excess of metal-to-dendrimer, 5.5 μL of 0.1 M
metal salt was added. The pH of the solution was adjusted to 6–7
using 0.1 M HCl. The vial was capped and left on a nutating mixer
to complex.Complexation time was dependent on the metal salt
used: HAuCl4 was complexed for <10 min, CuSO4 for 15 min, K2PdCl4 for 30–60 min,
and K2PtCl4 for 72 h. Dendrimer–metal
complexes were reduced with a 10 molar excess of NaBH4 to
metal (except Au, for which only 1–2 molar excess was used)
by adding freshly prepared 0.2 M NaBH4. The pH of the reduced
nanoparticle solution was adjusted to <8 using 0.1 M HCl. The solution
was purged with Ar(g) for 10 min. The DENs were characterized via
UV–vis spectroscopy prior to and immediately after reduction.Bimetallic DENs were synthesized as described above, except only
a 28 molar excess of each metal was added (2.8 μL of 0.1 M metal
salt). The longer complexing metal salt was added first, the pH was
adjusted to 6–7, and then at the appropriate time before reduction,
the second metal salt was added.
UV–vis Spectroscopy
UV–vis spectra were
collected using a spectral bandwidth of 1.0 nm with an Agilent 8453
UV–vis diode array spectrophotometer and Agilent ChemStation
software. Samples were measured in a quartz cuvette with a 1 cm path
length.
Kinetic Measurements
Fresh 0.2 M NaBH4 was
prepared 10 min before each set of kinetic trials. Polystyrene cuvettes
were prepared by adding 2.35 mL of nanopure and 0.250 mL of 600 μM
PNP. An Ocean Optics Visible Spectrophotometer was set to monitor
the absorbance at 400 nm (the λmax for PNP) and 600
nm (for background) by sampling three times per second. The spectrophotometer
was placed on a stir plate, and a microstir bar was added to the reaction
cuvette. Immediately after initiating data collection, 0.750 mL of
0.2 M NaBH4 was added to the cuvette using a micropipet
(Gilson) and 0.600 mL of 1 μM DEN solution was added to the
cuvette via gastight syringe.
Calculation of Kinetic
Rate Constants
The data were
analyzed according to the first-order rate law. The absorbance at
400 nm was used to determine the concentration of PNP. The minimum
absorbance at 400 nm was subtracted from all absorbances to correct
for background absorption from the DENs. The natural log of the absorbance
at 400 nm was plotted against time, and the steepest part of the curve
was fit with a line, the negative slope of which was considered the
apparent rate constant, kapp. The rate
constant is considered apparent because previous work by other groups
has shown that the observed rate constant depends on the concentration
of sodium borohydride as well as the starting concentration of PNP.[35]
Computational Details
All calculations
were performed
by density functional theory (DFT) within the Vienna ab initio Simulation Package.[40−43] The Kohn–Sham[44] single-electron
orbitals for the valence were expanded in a plane-wave basis with
an energy cutoff of 300 eV. Core electrons were described as pseudopotentials
within the projector-augmented wave formalism.[45,46] The exchange-correlation (XC) energy was treated by the PW91 implementation
of the generalized-gradient approximation.[47−49] The interpolation
of the XC term was performed using the method of Vosko et al.[50]The Brillouin zone was integrated using
the Methfessel–Paxton finite temperature smearing approach
with a smearing width σ of 0.2 eV.[51] A Γ-point sampling was employed. All energies were extrapolated
to the σ → 0 limit. Adsorption was considered on the
(100) face of a 79-atom nanoparticle in a truncated octahedron geometry,
which was found to be the most stable for Pt by both total X-ray scattering
experiment and DFT calculations.[52] This
face is the most undercoordinated and taken to be the most active
for catalysis. The PNP molecule was then allowed to adsorb onto the
surface such that the total force per atom was less than 0.01 eV/Å.
This bonding geometry is shown for a sample Pd/Au random alloy in
Figure 1. For each bimetallic system, ten random
50/50 alloys by composition were generated; geometries that significantly
distorted from the truncated octahedron were removed.
Figure 1
Chosen binding geometry
for PNP chemisorption on a 79-atom Pd/Au
random alloy nanoparticle.
Chosen binding geometry
for PNP chemisorption on a 79-atom Pd/Au
random alloy nanoparticle.At least 8 Å of vacuum was included to separate periodic
images
in order to prevent spurious image–image interaction. For density
of states (DOS) calculations, the bulk lattice constants calculated
by Wang et al.[53] were used for a cell that
consisted of five layers of the 3 × 3 face-centered cubic unit
cell. The Brillouin zone for the unit cell was integrated using a
4 × 4 × 1 Monkhorst–Pack k-point
mesh.[54]Adsorption energies were
determined by calculating the difference
between the total energy of the relaxed nanoparticle–PNP chemisorbed
complex and the total energies of the two constituent pieces: the
nanoparticle and the PNP molecule. Thus, the adsorption energy represents
the energy difference between taking the PNP molecule from infinite
distance and allowing it to chemisorb onto the nanoparticle surface.
The binding energy, which has the opposite sign from the adsorption
energy, represents the energy required to separate the bound PNP molecule
from the nanoparticle and move it to infinite distance.
Results
and Discussion
In order to accurately compare reaction rates
for different catalysts,
a systematic and uniform method for both synthesizing the catalyst
and maintaining similar reaction conditions is required. Through an
encapsulation synthesis route using the G6-OH PAMAM dendrimer, we
are able to reliably synthesize nanoparticles of similar size and
with known composition. This synthetic route produces nanoparticles
of either pure metals or bimetallic random alloys with a 50/50 composition.
Figure 2 shows scanning transmission electron
microscopy (STEM) images and size distribution histograms for the
synthesis of Au, Pd, and Pd/Au nanoparticles.
Figure 2
STEM images of DENs (A) G6-OH(Au55), (B) G6-OH(Pd55), and (C) G6-OH(Pd28Au28) and corresponding
size distributions. The average diameter of the Au, Pd, and Pd/Au
nanoparticles was 1.4 ± 0.7, 1.0 ± 0.3, and 1.1 ± 0.3
nm, respectively. Images were collected on a JEOL 2500SE STEM.
As seen in Figure 2, DENs of Au, Pd, and
Pd/Au have very similar average diameters on the order of 1 nm. The
DENs are spherical in shape; given the size distributions and shape,
the nanoparticles contain ∼55 atoms. As noted previously, the
experimental conditions are nearly uniform for each pure metal and
bimetallic nanoparticle synthesis route. Because of these tight experimental
controls, we can directly measure catalytic properties of the resulting
particles under both uniform synthesis and reaction conditions.The reduction of PNP in the presence of NaBH4 is fast
when performed in solution with coinage metal catalysts. The overall
reaction of interest is shown in Scheme 1.
The full catalytic reaction, however, is a multistep process that
is not characterized by a single saddle point from which an Arrhenius
rate may be extracted. In the presence of excess NaBH4 and
sufficient catalyst, the reaction is pseudo-first-order and dependent
only upon the concentration of PNP in solution. The role of the metallic
catalyst is to bind the PNP molecule through the two oxygens of the
nitro group. This adsorbed geometry is shown in Figure 1, where a single molecule binds to two atoms of a (100) surface
and creates a pentagonal M–O–N–O–M cyclic
intermediate.
Scheme 1
Reaction
Scheme for the Reduction of p-Nitrophenol
to p-Aminophenol
Because p-nitrophenol is insoluble in water, it
is first dissolved in NaOH.
The resulting nitrophenolate is then reduced via sodium borohydride
in the presence of the metal catalyst.
PNP is a strong visible absorber with a maximum
absorbance at 400
nm. As shown in Figure 3, the reduction of
PNP to p-aminophenol (PAP) is evidenced by a decrease
in absorbance at 400 nm and a new absorbance growing in at 315 nm
associated with formation of PAP. Because the reaction is pseudo-first-order
in the presence of excess NaBH4, the slope of a plot of
the natural log of the absorbance at 400 nm yields the apparent reaction
rate, kapp. This process for determining
apparent rates is shown in Figure 3 for the
case of the Pd/Cu alloy. Thus, we show that the reaction rates can
be easily determined by ultraviolet–visible (UV–vis)
spectroscopy.
Figure 3
Reduction of PNP catalyzed by DENs, monitored by UV–vis.
(A) shows the decreasing absorbance at 400 nm corresponding to decreasing
PNP concentration; spectra are shown at 1 s intervals. (B) shows the
plot of the natural log of the absorbance at 400 nm versus time; data
points are separated by 0.5 s intervals. The slope in (B) yields the
apparent rate constant kapp = 0.12 ±
0.03 (s–1) for this trial. G6-OH(Pd28Cu28) DENs were used for this trial.
STEM images of DENs (A) G6-OH(Au55), (B) G6-OH(Pd55), and (C) G6-OH(Pd28Au28) and corresponding
size distributions. The average diameter of the Au, Pd, and Pd/Au
nanoparticles was 1.4 ± 0.7, 1.0 ± 0.3, and 1.1 ± 0.3
nm, respectively. Images were collected on a JEOL 2500SE STEM.Because of the sole dependence
of the rate on the concentration
of PNP in solution, the initial adsorption of the PNP molecule to
the nanoparticle surface directly correlates with the rate constant
for the full reaction. Binding of organic molecules to metal surfaces
has been extensively modeled beginning with Newns[17] and later expanded upon by Hammer and Nørskov.[18,19,55−57]
Reaction
Scheme for the Reduction of p-Nitrophenol
to p-Aminophenol
Because p-nitrophenol is insoluble in water, it
is first dissolved in NaOH.
The resulting nitrophenolate is then reduced via sodium borohydride
in the presence of the metal catalyst.The
Hammer–Nørskov model identifies the center of the d-band of the metal surface as the primary controlling factor
in chemisorption strength. When the adsorbate interacts with the metal d-band, the adsorbate state overlaps with the metal states
and is split off into bonding and antibonding interactions. As the d-band becomes farther below the Fermi energy, the antibonding
states are increasingly populated, and the overall chemisorption strength
weakens. A scatter plot of the d-band against the
adsorption energy is shown in Figure 4.
Figure 4
A scatter plot of the d-band center of the metal
surface vs the adsorption strength of p-nitrophenol
shows a general increasing binding interaction with a d-band center closer to the Fermi energy. The d-band
center is a weighted average of the local DOS for a single surface
atom.
From Figure 4, a general trend of increasing
adsorption strength with a d-band center closer to
the Fermi energy is noted. A further trend, however, is that adsorption
energy decreases as one moves down columns of the periodic table.
This effect has been noted by Hammer[57] for
oxygen adsorption onto noble metals. For the coinage metals, the d-band is nearly filled, so many antibonding states are
populated. The population of bonding and antibonding states is net
repulsive, which increases with orbital size as one moves down a column.
This increasingly repulsive interaction for the coinage metals accounts
for the weaker adsorption onto Pt and Pd rather than Cu, despite the
differences in d-band centers.When disparate
metals are alloyed, charge rearranges due to the
disparate Fermi levels that are brought into contact. Because of charge
rearrangement, noble metal atoms become less noble and reactive metal
atoms become less reactive.[10,58] In addition, alloying
of metals from different rows on the periodic table has been demonstrated
to activate surfaces by introducing localized electronic states.[12] For instance, small amounts of Au alloyed into
previously inert Ag(111) surfaces allow it to bind ethylene. The 5d electrons of the Au atoms overlap poorly with the 4d of the Ag surface and create localized states where ethylene
may bind.Reduction of PNP catalyzed by DENs, monitored by UV–vis.
(A) shows the decreasing absorbance at 400 nm corresponding to decreasing
PNP concentration; spectra are shown at 1 s intervals. (B) shows the
plot of the natural log of the absorbance at 400 nm versus time; data
points are separated by 0.5 s intervals. The slope in (B) yields the
apparent rate constant kapp = 0.12 ±
0.03 (s–1) for this trial. G6-OH(Pd28Cu28) DENs were used for this trial.Because of the direct dependence of the reaction rate constant
on the binding energy, our goal is to optimize the reactivity of bimetallic
DENs by combining metals which are inactive due to strongly binding
the reactants with metals that are inactive due to weakly binding
the reactants. This relationship is typically demonstrated via a volcano
plot, which is a scatter plot of the reaction rate in the presence
of the catalyst against the adsorption energy of the reactant to the
catalyst. In principle, overly strong binding renders the adsorbate–catalyst
so strongly bound that a reaction cannot occur. In the regime of overly
weak binding, the catalyst has no interaction with the reactant. The
peak in the volcano occurs where these two effects are balanced.We consider chemisorption onto the (100) face of the truncated
octahedron NP as a representative site for chemisorption onto the
synthesized NPs in solution. Chemisorption onto the (100) face is
possible in both truncated octahedron and cuboctahedron geometries;
effects from undercoordination are likely to be smaller than 0.1 eV.[12] In Figure 5, we present
a volcano plot of calculated adsorption energies of the PNP molecule
onto the various nanoparticle catalysts plotted with the experimentally
measured reaction rates for PNP reduction. In this plot, two regimes
of overbinding and underbinding are identifiable. Of the pure metals,
Au has a low reaction rate constant due to its weak binding, whereas
Cu has a very low rate constant due to its overly strong binding.
Pt and Pd fall between these extremes.
Figure 5
A scatter
plot of the calculated adsorption energy of PNP on various
nanoparticles plotted against the experimentally observed reaction
rates. Solid black dots are pure metals, and red dots are random alloys
of two metals. The solid lines are best-fit lines for the strong-
and weak-binding regimes. The dashed lines represent the range of
calculated binding energies for various allowed structures that were
considered.
A scatter plot of the d-band center of the metal
surface vs the adsorption strength of p-nitrophenol
shows a general increasing binding interaction with a d-band center closer to the Fermi energy. The d-band
center is a weighted average of the local DOS for a single surface
atom.One effect that is immediately
noticeable in Figure 5 is that alloying Au
with either Pt or Pd results in a stronger
binding energy and yields a correspondingly faster reaction rate constant.
When
Pd is alloyed with Cu, the adsorption energy is much stronger than
as compared to pure Pd and is followed by a slower reaction rate.
Somewhat surprisingly, then, is the behavior of Pt/Cu, which has a
higher reaction rate than either pure Pt or pure Cu. Even worse, Au/Cu
would seem to have an average adsorption energy that sits very near
to the peak in the volcano, and yet it has a reaction rate that is
very close to pure Au.The solution to this seeming paradox
lies in the distribution of
the adsorption energies for different configurations of the bimetallic
alloys. Cu is much smaller than either Pt or Au, so the lattice constant
mismatch compresses the atoms in the system. Similarly, the 3d Cu valence orbitals overlap very weakly with the 5d orbitals of Pt and Au. The net result is that configurations
in which PNP is bound to two Cu atoms is bound quite strongly and
is bound weakly when Au or Pt is present. The range in the binding
energy data is shown in Figure 6, which shows
that Pd/Cu displays a unimodal distribution centered around the average
of Pd and Cu, whereas Au/Cu displays binding energies that correspond
to either binding strongly on two Cu atoms or weakly when Au is present.
Figure 6
Histograms of the adsorption energies
of PNP on nanoparticles of
Pd/Cu and Au/Cu are shown. The y-axis of the histogram
is the number of nanoparticles in the randomly generated sample of
bimetallic alloys of the specified composition, and the x-axis is the binding energy of PNP. The Pd/Cu distribution is centered
around a single ensemble average for binding energy; however, the
Au/Cu binding energy has two peaks that correspond to the pure Cu
site and the Au–Cu site.
A scatter
plot of the calculated adsorption energy of PNP on various
nanoparticles plotted against the experimentally observed reaction
rates. Solid black dots are pure metals, and red dots are random alloys
of two metals. The solid lines are best-fit lines for the strong-
and weak-binding regimes. The dashed lines represent the range of
calculated binding energies for various allowed structures that were
considered.In addition, the fact
that alloying with Cu weakens the adsorption
energy on Pt and Au atoms compared with the pure is also explained
by the d-band model. When a metal with a large lattice
constant is compressed by alloying with a smaller metal, the orbital
overlap between its atoms increases. The effect of this compression
is that the d-band center shifts away from the Fermi
level; this effect results in decreased reactivity at the site of
compression.[12] Because of this decrease
in d-band center, the larger metal atoms become less
likely to form a covalent bond with an adsorbate. This effect is demonstrated
by the fact that two Pt atoms bind PNP weaker in the alloy than in
the pure nanoparticle. More pronounced, two Au atoms bind PNP in a
pure nanoparticle significantly stronger than in the alloy, where
the two Au atoms are forced closer together.Thus, the effect
on the reaction rate is significant. A change
in adsorption energy results in an exponential change in the reaction
rate. Thus, the system reacts at the rate of its most active component
along the volcano plot. The molecule is too strongly adsorbed on Cu,
so the reaction rate is controlled by the orders of magnitude faster
rate associated with binding at an Au–Cu two-atom site. In
the case of Pt/Cu, two Pt atoms bind PNP weaker than two Pt atoms
in a pure metal nanoparticle; thus, the reaction rate is faster than
pure Pt. The ensemble binding energies, represented by the two data
points, are less significant to predicting the overall reaction rate
than the spread in the data and the maxima and minima of adsorption
energies in the set of random alloys.Histograms of the adsorption energies
of PNP on nanoparticles of
Pd/Cu and Au/Cu are shown. The y-axis of the histogram
is the number of nanoparticles in the randomly generated sample of
bimetallic alloys of the specified composition, and the x-axis is the binding energy of PNP. The Pd/Cu distribution is centered
around a single ensemble average for binding energy; however, the
Au/Cu binding energy has two peaks that correspond to the pure Cu
site and the Au–Cu site.These results suggest a largely unexpected strategy in generating
bimetallic catalysts. In particular, we show that for metals of similar
lattice constants, one can alloy a metal that binds the target molecule
too strongly with one that binds it too weakly to yield a more active
particle. In contrast, when the lattice constants are disparate, the
results do not follow this trend. Instead, the resulting adsorption
energies are broadly distributed, so the overall ensemble average
of binding energy can be completely uncorrelated from the observed
reaction rate. In this case, catalysts with a specific geometry at
the binding site are the most active and dominate the reaction rate.
The result is that two metals that bind too strongly can alloy to
create a significantly more active catalyst, even though the average
binding energy appears to be unfavorable.
Conclusions
In
summary, we have presented a systematic method for the synthesis
of uniform pure and bimetallic nanoparticles using a dendrimer-encapsulation
synthesis route. This systematic synthesis method leads naturally
into controlled, uniform reaction conditions for measuring catalytic
activity of PNP reduction in presence of sodium borohydride. In this
manner, reaction rates for similar particles under the same reaction
conditions can be accurately measured and compared to binding energies
from electronic structure calculations. We demonstrate that the reaction
rates fall along a standard volcano plot.In order to selectively
tune the reaction rate toward the maximum
in the volcano plot, we produced several bimetallic catalysts. For
alloys of metals with similar lattice constants, the result was perfectly
intuitive—the ensemble binding energy was the average of the
two metals. In this case, the reaction rates fell along the volcano
plot as expected. In contrast, metals with dissimilar lattice constants–Pt/Cu
and Au/Cu–did not fall along the volcano plot as predicted.
Pt/Cu catalyzed the reaction much faster than expected from the ensemble
binding energy, and Au/Cu catalyzed it much slower than expected.
We demonstrated that the reaction rate was not controlled by the ensemble
binding energy, but by the binding energy of the most active metal
atoms, whose binding energies were quite different from the ensemble
average. Overall, we have demonstrated a joint experimental–theoretical
method for evaluating catalysis by bimetallic and pure DENs and analyzed
the factors, such as lattice mismatch, that determine whether or not
the properties of a bimetallic will be a simple average of the constituents’
properties.
Authors: Robert W J Scott; Chinta Sivadinarayana; Orla M Wilson; Zhen Yan; D Wayne Goodman; Richard M Crooks Journal: J Am Chem Soc Date: 2005-02-09 Impact factor: 15.419