Understanding the intrinsic catalytic properties of perovskite materials can accelerate the development of highly active and abundant complex oxide catalysts. Here, we performed a first-principles density functional theory study combined with a microkinetics analysis to comprehensively investigate the influence of defects on catalytic CO oxidation of LaFeO3 catalysts containing single atoms of Rh, Pd, and Pt. La defects and subsurface O vacancies considerably affect the local electronic structure of these single atoms adsorbed at the surface or replacing Fe in the surface of the perovskite. As a consequence, not only the stability of the introduced single atoms is enhanced but also the CO and O2 adsorption energies are modified. This also affects the barriers for CO oxidation. Uniquely, we find that the presence of La defects results in a much higher CO oxidation rate for the doped perovskite surface. A linear correlation between the activation barrier for CO oxidation and the surface O vacancy formation energy for these models is identified. Additionally, the presence of subsurface O vacancies only slightly promotes CO oxidation on the LaFeO3 surface with an adsorbed Rh atom. Our findings suggest that the introduction of La defects in LaFeO3-based environmental catalysts could be a promising strategy toward improved oxidation performance. The insights revealed herein guide the design of the perovskite-based three-way catalyst through compositional variation.
Understanding the intrinsic catalytic properties of perovskite materials can accelerate the development of highly active and abundant complex oxide catalysts. Here, we performed a first-principles density functional theory study combined with a microkinetics analysis to comprehensively investigate the influence of defects on catalytic CO oxidation of LaFeO3 catalysts containing single atoms of Rh, Pd, and Pt. La defects and subsurface O vacancies considerably affect the local electronic structure of these single atoms adsorbed at the surface or replacing Fe in the surface of the perovskite. As a consequence, not only the stability of the introduced single atoms is enhanced but also the CO and O2 adsorption energies are modified. This also affects the barriers for CO oxidation. Uniquely, we find that the presence of La defects results in a much higher CO oxidation rate for the dopedperovskite surface. A linear correlation between the activation barrier for CO oxidation and the surface O vacancy formation energy for these models is identified. Additionally, the presence of subsurface O vacancies only slightly promotes CO oxidation on the LaFeO3 surface with an adsorbed Rh atom. Our findings suggest that the introduction of La defects in LaFeO3-based environmental catalysts could be a promising strategy toward improved oxidation performance. The insights revealed herein guide the design of the perovskite-based three-way catalyst through compositional variation.
The
development of new low-cost and highly active catalysts for
automotive emission control is of great importance to the protection
of the environment. Among practical solutions, supported platinum
group metals (PGMs) are widely used to catalyze reactions to abate
the emission of noxious gases from gasoline engines.[1−6] The cost of PGMs and their low-temperature performance as well as
their aggregation into larger particles when operated at elevated
temperatures pose significant challenges in developing better catalysts.[7,8] These aspects explain why already for a long time substantial efforts
have been made to reduce the content of precious metals in these catalysts.[9−15] In the extreme case, catalysts contain these precious metals in
an atomically dispersed form, which in recent years has become a topic
of frontier research.[16−22]Another solution to the problem of costly precious metals
is to
replace them by a cheaper class of materials. Recently, perovskite
(ABO3 type) materials have been explored as a potential replacement
for conventional three-way catalysts.[23−26] As in general these materials
are not active enough, one strategy is to promote these base metal-based
oxides with precious metals. This only makes sense when these are
present in high dispersion. Early studies indicated that the noble
metals can retain good dispersion on perovskite surfaces.[27,28] For instance, LaFeO3 (LFO) perovskites exhibit excellent
resistance against sintering of precious metal overlayers.[29] The most prominent reaction investigated in
this respect is CO oxidation.[30−32] Previous studies demonstrated
that the physical and chemical and, accordingly, catalytic properties
of perovskites can be tuned by partial substitution of the A and B
sites with transition-metal ions.[32−36] For example, Pd doping of LFO can strongly improve
the CO oxidation activity.[37] Another recent
experiment highlighted that the catalytic activity of CO oxidation
on LFO-supported Rh and Cu catalysts was enhanced by the presence
of La defects.[38] Onn and co-workers reported
about a high-surface-area LFO-supported Pd catalyst obtained by atomic
layer deposition with good catalytic performance.[39]There are very few studies that focus on the underlying
chemical
aspects of the surface reactivity of perovskites by computational
chemistry. Some studies have dealt with the stability of transition-metal
atoms and adsorption of simple molecules on these complex oxide surfaces.[40−43] This represents a lack of the fundamentals of the reaction mechanism
and the relation with the electronic structure that is modified by
aspects such as common defects and hinders the guided development
of more active systems.In this study, we aim for this kind
of understanding by employing
density functional theory (DFT) in combination with microkinetics
analysis to understand the chemical and catalytic properties of single
Rh, Pd, and Pt atoms dispersed on or in the stable (001) surface of
LFO with a view on CO oxidation catalysis. We investigate the stability,
CO and O2 adsorption energies, and CO oxidation activation
barriers for stoichiometric and defective surfaces. Especially, La
and O defects can improve the stability of the introduction of precious
metal atoms and tune the electronic structure toward high CO oxidation
activity. A general finding is that La defects can lead to highly
active CO oxidation catalysts based on the three explored precious
metals, while the presence of subsurface O vacancies boosts the performance
of single Rh atoms adsorbed to the LFO surface.
Computational
Methods
DFT Calculations
We employed spin-polarized
DFT calculations using the projector-augmented wave[44] approach as implemented in VASP 5.3.5.[45,46] To account for the effect of the exchange–correlation and
on-site Coulomb interaction, the Perdew–Burke–Ernzerhof[47] functional with the Hubbard + U correction was used. We set Ueff to
4 eV for the Fe atoms. In order to accurately describe the electronic
structure of LFO, we consider its G-type antiferromagnetic structure.
To understand the catalytic properties, we constructed the FeO2-terminated (001) surface, which is known to be a stable and
exposed facet of this type of materials in CO oxidation.[48] In order to study the influence of noble metals
on the catalytic performance, we considered doping of the surface
by replacing a surface Fe atom by an M atom with M being Rh, Pd, or
Pt as well as the adsorption of a single M atom on the surface of
the LFO slab model.Different adsorption sites were considered
for the latter purpose. Here, the constructed slab models are 2 ×
2 unit cells with six atomic layers and a slab thickness of 9.93 Å.
The top four layers were relaxed and the bottom two layers were frozen
to the configuration of the bulk. A vacuum thickness of 12 Å
was used to avoid spurious interactions of adsorbates between neighboring
super cells. For the Brillouin-zone integration, a 1 × 1 ×
1 Monkhorst–Pack k-point was used. The geometry
optimizations were assumed converged when the Hellmann–Feynman
forces acting on atoms were less than 0.05 eV/Å. Further, computational
details including a discussion of the magnetic structure of the LFO
models are provided in the Supporting Information.The formation energies of M atom-dopedLFO surfaces are defined
asHerein, EM+surf, Esurf, EFe, and EM are the electronic energies
of the M-dopedLFO surface, the empty LFO surface, the bulk Fe atom,
and the bulk M atom, respectively.Here, the adsorption energies
are calculated bywhere Em+surf and Em are the electronic energies of the adsorbed
system and the corresponding gas-phase species, respectively.
Microkinetics Simulations
On the
basis of the DFT calculations, we carried out microkinetics simulations
to gain the kinetic properties for CO oxidation on LFO-supported Rh,
Pd, and Pt single-atom catalysts. For instance, the reaction rate,
the rate-determining step, and species distribution are investigated.
For surface reactions, the calculated activation barriers are used
to estimate the forward and backward rate constants using the Eyring
equationwhere k represents the reaction
rate constant, kb and h are Boltzmann and Planck’s constants, respectively, T is the temperature (in K), and Ea refers to the electronic activation energy (in J). fTS and f indicates the partition
functions of the transition state and the ground state, respectively.
We assumed that all vibrational partition functions equal unity which
gives a prefactor for all surface elementary reaction steps of ∼1013 s–1.In the case of adsorption reactions,
there is an assumption that the molecule loses only one of its translational
degrees of freedom with respect to the gas phase. Accordingly, the
rate of molecular adsorption was calculated asHerein, P indicates the pressure
of the adsorbate in the gas phase, A′ is the
surface area of the adsorption site, m is the mass
of the adsorbate, and S refers to dimensionless sticking
coefficient.For the CO2 desorption process, we assumed
that the
activated species has two translational and three rotational degrees
of freedom. Therefore, the molecular desorption rate is defined as[49]where σ refers to the symmetry number,
θ is the characteristic temperature for rotation, and Edes is the desorption energy.The details
for the microkinetics modeling have been described
in our previous works.[50,51] To calculate the reaction rate
of all surface reaction intermediates, we constructed the differential
equations by using the rate constants of the elementary reaction steps.
For each of the X components presented in the reaction
network, a single differential equation is defined asIn the above equation, k is the elementary reaction
rate constant, ν indicates the stoichiometric
coefficient of component i in elementary reaction
step k, and c refers to the concentration
of component k on catalyst surface.To identify
the rate-determining step of the CO oxidation reaction,
Campbell’s degree of rate control (DRC) analysis[52,53] was employed. For a specific elementary step i,
the coefficient of DRC (χRC,) is
determined byHerein, r refers to the overall
reaction rate and k and K indicate the forward rate
and the equilibrium constants for step i, respectively.The first-principles-based microkinetics simulations were carried
out using the MKMCXX code.[54] The overall
conversion rates of CO oxidation, steady-state coverages, and products
distribution were calculated as a function of temperature by integrating
the ordinary differential equations with respect to time using the
backward differentiation formula method.[55−57]
Results and Discussion
Geometry and Stability
of LFO-Supported Rh,
Pd, and Pt Single-Atom Catalysts
We first investigated the
structure and stability of Rh-, Pd-, and Pt-dopedLFO surfaces. Figure a,b shows the structures
of the stoichiometric dopedLFO surfaces and the same surfaces with
VLa. The M atom-doped stoichiometric LFO and VLa-promoted LFO structures are denoted in the following as LFO-M and
LFO-VLa-M, respectively. The structures of the corresponding
models with VSO are denoted as LFO-VSO-M (Figure S2). We compare the stabilities of these
structures by determining their formation energies. To this end, we
compute the exchange energy of the stoichiometric LFO for replacing
an Fe atom with an M atom compared to bulk Fe and M. From Table , it can be seen that
the formation energies of the stoichiometric LFO-Rh, LFO-Pd, and LFO-Pt
models are 0.09, 1.41, and 0.79 eV, respectively. Doping Rh, Pd, and
Pt in an LFO surface with a La defect is relatively speaking more
favorable than doping in the stoichiometric LFO surface.
Figure 1
Top view of
the different LFO surfaces used in the DFT modeling:
(a) LFO-M, (b) LFO-VLa-M, (c) Mads-LFO, and
(d) Mads-LFO-VLa (color code: light blue, La;
lavender, Fe; O, red; blue, M = Rh, Pd, and Pt).
Table 1
Stabilities of the Different Surface
Models Used for the DFT Calculationsa
formation
energy (eV)
adsorption
energy (eV)
model
LFO-M
LFO-VLa-M
LFO-VSO-M
Mads-LFO
Mads-LFO-VLa
M-LFO-VSO
Rh
0.09
–1.44
–0.60
2.26
–2.69
0.71
Pd
1.41
0.30
–2.16
1.94
–2.58
0.70
Pt
0.79
–0.31
–1.39
2.40
–2.48
1.06
For the doped models, formation
energies are reported; for the models consisting of a noble metal
adsorbed on the LFO surface, the adsorption energies are listed.
Top view of
the different LFO surfaces used in the DFT modeling:
(a) LFO-M, (b) LFO-VLa-M, (c) Mads-LFO, and
(d) Mads-LFO-VLa (color code: light blue, La;
lavender, Fe; O, red; blue, M = Rh, Pd, and Pt).For the doped models, formation
energies are reported; for the models consisting of a noble metal
adsorbed on the LFO surface, the adsorption energies are listed.It is worth noting that the
most stable position of an O vacancy
is at the surface. We found, however, that upon doping the LFO surface
by one of the noble metals considered in this study, the O vacancy
prefers to be located in a subsurface position, subjacent to the M
dopant. The O vacancy formation energies in these locations are lower
than those associated with creating an O vacancy in the surface itself
(Table ).
Table 2
Calculated Oxygen Vacancy Formation
Energy (eV) for the Different Surface Modelsa
model
LFO-M
LFO-VLa-M
LFO-VSO-M
Mads-LFO
Mads-LFO-VLa
Mads-LFO-VSO
Rh
2.42 (2.10)
1.00
2.72
3.02
2.82
3.07
Pd
2.28 (1.53)
0.41
2.62
2.40
2.14
2.49
Pt
2.47 (1.56)
0.73
2.77
2.31
2.65
2.42
Values in parenthesis are corresponding
subsurface oxygen formation energies.
Values in parenthesis are corresponding
subsurface oxygen formation energies.Accordingly, we used a model for LFO-VSO-M which includes
the subsurface O vacancy to investigate stability and catalytic properties.
Compared with LFO-M, the formation energies for LFO-VSO-Rh, LFO-VSO-Pd, and LFO-VSO-Pt are lower,
that is, −0.60, −2.16, and −1.39 eV, respectively.
These data confirm the expected trend that creating oxygen vacancies
in dopedLFO structures is more facile because the noble metal dopants
are less reactive than Fe.For the adsorption structures, we
find a preference for M adsorption
on the hollow site of the LFO surface (Figures c,d and S2). We
denote the adsorption of M on different LFO surfaces as Mads-LFO, Mads-LFO-VLa, and Mads-LFO-VSO. The stability of the different models is compared on the
basis of the adsorption energy. Table shows that VLa enhances strongly the adsorption
energies of Rh (−2.69 eV), Pd (−2.58 eV), and Pt (−2.48
eV) compared with the stoichiometric LFO surface. The data also show
that the presence of an O vacancy also results in lower adsorption
energies of Rh (0.71 eV), Pd (0.70 eV), and Pt (1.06 eV) in comparison
to the stoichiometric surface. Thus, we can conclude that La and O
defects increase the stability of isolated noble metal atoms at the
LFO surface.To understand the electronic nature of these LFO
surfaces, we analyzed
their partial density of states (PDOS). We focus in Figure on the bonding of the different
stoichiometric and defective LFO surfaces with an Rh atom. The bonding
is governed by hybridization of Rh 4d and O 2p orbitals. The O 2s
orbitals lie too low in energy to be involved in the bonding. In all
cases, the overlap between Rh 4d and O 2p orbitals is higher for Rh-dopedLFO structures than for Rh adsorbed on LFO. For the LFO-VLa surface, the calculated Bader charges of the Rh atom in LFO-VLa-Rh and Rhads-LFO-VLa are +1.85|e| and +1.31|e|, respectively, consistent
with the lower occupancy of the 4d states. Thus, we can say that Rh
transfers effectively electrons to O 2p orbitals. For LFO-VSO-Rh and Rhads-LFO-VSO, the Rh atom and the
nearest O atoms form a stable square-planar configuration. Figures S3 and S4 confirm that similar trends
occur for Pd and Pt doping in LFO-VLa. We note however
that the overlap for the d orbitals of Pd and Pt is smaller than for
Rh, explaining the generally observed higher stability of Rh-doped
structures.
Figure 2
PDOS of Rh 4d, O 2p, and O 2s orbitals (the O atom adjacent to
Rh) in (a) LFO-Rh, (b) Rhads-LFO, (c) LFO-VLa-Rh, (d) Rhads-LFO-VLa, (e) LFO-VSO-Rh, and (f) Rhads-LFO-VSO.
PDOS of Rh 4d, O 2p, and O 2s orbitals (the O atom adjacent to
Rh) in (a) LFO-Rh, (b) Rhads-LFO, (c) LFO-VLa-Rh, (d) Rhads-LFO-VLa, (e) LFO-VSO-Rh, and (f) Rhads-LFO-VSO.
Adsorption of CO and O2
Before we explore the reaction mechanism of CO oxidation,
we first
investigate the adsorption properties of CO and O2 on these
surfaces. All relevant data are collected in Tables S2 and S3. Our calculations indicate that the stoichiometric
LFO surface cannot bind CO or O2. Therefore, we predict
that the stoichiometric surface should present a low activity. This
is in line with the early experimental result.[50] Notably, the surface O vacancy formation energy for the
LFO surface is as high as 2.18 eV, which implies that spontaneous
formation of surface O vacancies will only take place at relatively
high temperature. Accordingly, we did not consider CO adsorption on
such vacancies. For LFO-Rh, the CO adsorption energy is −2.14
eV, which is stronger than for CO adsorption on LFO-Pd (−0.53
eV) and LFO-Pt (−1.38 eV). The stronger CO adsorption on Rh
can be correlated to the enhanced donation of CO electron density
into the more unoccupied Rh d-orbitals. In the catalytic mechanism
to be discussed below, the adsorbed CO molecule reacts with a surface
O atom to form CO2. This constitutes an M–vK mechanism.
Molecular oxygen will then adsorb on the created O vacancy. Its adsorption
energy on the defect sites of LFO-Rh, LFO-Pd, and LFO-Pt are −2.09,
−1.53, and −2.17 eV, respectively. We find that the
strength of O2 adsorption correlates strongly to the surface
O vacancy formation energy as follows from the computed surface O
vacancy formation energies for LFO-Rh (2.42 eV), LFO-Pd (2.28 eV),
and LFO-Pt (2.47 eV).We also considered the effect of VLa on the CO and O2 adsorption energies for the
LFO-M surfaces. The presence of a La defect results in a substantial
decrease of the CO adsorption strength on the Rh-doped surface and
a decrease of the O2 adsorption strength on the O defect
obtained after one catalytic CO2 formation cycle. On the
other hand, the CO adsorption strengths on LFO-VLa-Pd and
LFO-VLa-Pt are enhanced with respect to the corresponding
stoichiometric surfaces. The O2 adsorption strengths are
however decreased, similar to the Rh case. The different influence
of a La defect on the CO adsorption strength for Rh on the one hand
and Pt and Pd on the other has to do with the degree of hybridization
between the CO and Rh 4d orbitals. For Rh, this leads to a lower hybridization,
lowering the CO adsorption strength. For Pd and Pt, the shift of the
relevant d orbitals due to the La defect causes a stronger hybridization
with the CO orbitals. Finally, we determined that the presence of
a subsurface O vacancy upon Rh doping in LFO-VSO decreases
both the CO and O2 adsorption energies. Neither Pd- nor
Pt-dopedLFO-VSO can bind CO or O2. The reason
is that the square-planar coordination of Pt and Pd with O atoms precludes
CO adsorption, which is not the case for Rh. We also investigated
CO and O2 adsorption on Rhads-LFO. CO adsorbs
weakly on Rhads-LFO (−0.99 eV) than on Rhads-LFO-VLa (−1.30 eV), while O2 adsorption
is slightly weakened for Rhads-LFO-VLa compared
to its stoichiometric counterpart. CO does not adsorb on the Pdads-LFO and Ptads-LFO surfaces. The main reason
for this is that the Pd and Pt atoms are coordinatively saturated
in their square-planar geometry.In summary, the above results
show that the presence of La and
subsurface O vacancies has a profound effect on the CO and O2 adsorption energies. We expect that the CO oxidation rate should
benefit from intermediate adsorption strengths of the reactants (Sabatier
principle). To investigate this in detail, we determined the complete
potential energy diagrams for the CO oxidation on the various LFO
surfaces. To this end, we explored all relevant stable and transition
states. We also included CO oxidation involving lattice O atoms, as
experimental results indicate that the structural O atoms of transition
metal-substituted LFO participate in CO2 formation.[58] Moreover, the modeling of adsorption complexes
showed that co-adsorption of CO and O2 is unfavorable on
the modified LFO surfaces explored in this work. Accordingly, a Langmuir–Hinshelwood
reaction mechanism is less likely.
CO Oxidation
Figures and 4 show the potential
energy diagrams for the Rh-, Pd-, and Pt-containing LFO surfaces.
For the stoichiometric dopedLFO surfaces, the activation barriers
for the reaction of adsorbed CO with a lattice O to CO2 are 1.38 eV (Rh), 0.48 eV (Pd), and 0.52 eV (Pt). CO2 desorption energies for these three cases are 0.70, 0.05, and 0.78
eV, respectively. After O2 adsorption on the O vacancy
(see above), another CO molecule will adsorb strongly on LFO-Rh (−1.97
eV) and LFO-Pt (−1.62 eV), but relatively weakly on LFO-Pd
(−0.52 eV). The adsorbed CO molecule moves toward adsorbed
O2, which leads to CO2 formation; the barriers
for this process are 2.33 and 2.22 eV for LFO-Rh and LFO-Pt, respectively,
and are moderate for LFO-Pd (0.58 eV).
Figure 3
Potential energy diagrams
for CO oxidation on (a) LFO-Rh, LFO-VLa-Rh, and LFO-VSO-Rh, (b) Rhads-LFO
and Rhads-LFO-VLa, and (c) corresponding geometries
for CO oxidation on the different models. The structures of stable
and transition states are indicated by corresponding numbers in the
different panels.
Figure 4
Potential energy diagrams
for CO oxidation on (a) LFO-Pd and LFO-VLa-Pd and (b) LFO-Pt
and LFO-VLa-Pt. (c) Corresponding
geometries for CO oxidation on the different models. The structures
of stable and transition states are indicated by the corresponding
numbers in the different panels.
Potential energy diagrams
for CO oxidation on (a) LFO-Rh, LFO-VLa-Rh, and LFO-VSO-Rh, (b) Rhads-LFO
and Rhads-LFO-VLa, and (c) corresponding geometries
for CO oxidation on the different models. The structures of stable
and transition states are indicated by corresponding numbers in the
different panels.Potential energy diagrams
for CO oxidation on (a) LFO-Pd and LFO-VLa-Pd and (b) LFO-Pt
and LFO-VLa-Pt. (c) Corresponding
geometries for CO oxidation on the different models. The structures
of stable and transition states are indicated by the corresponding
numbers in the different panels.As CO and O2 adsorption energies change due to
the presence
of La and subsurface O defects, we also investigated their influence
on the potential energy diagrams. The overall barrier for CO oxidation
on LFO-VLa-Rh is significantly lower (0.84 eV) compared
to the value 1.38 eV for the stoichiometric LFO-Rh surface. Similar
differences are found for LFO-VLa-Pd and LFO-VLa-Pt (Figure ). In
particular, CO oxidation on LFO-VLa-Pd involved a very
low overall activation barrier of 0.42 eV. Importantly, we identified
a linear correlation between the activation barrier for CO oxidation
to CO2 and the surface O vacancy formation energy for the
LFO surfaces with a La defect (Figure ). This strongly indicates that the surface O vacancy
formation energy is a good descriptor for CO oxidation on transition
metal-dopedLFO-VLa catalysts. An experimental indication
of the benefit of La defects can be found in the work on Rh- and Cu-dopedLFO.[39] The trend observed in Figure , therefore, might be useful
to predict new nonstoichiometric LFO perovskite-based catalysts. On
the other hand, we admit that such correlations were not observed
for the stoichiometric and oxygen-defective models.
Figure 5
Activation barriers of
CO oxidation on LFO-VLa-M (M
= Rh, Pd, and Pt) are linearly related to the corresponding surface
O vacancy formation energies. (Blue dot: first half, CO oxidation;
red square: second half, CO oxidation.)
Activation barriers of
CO oxidation on LFO-VLa-M (M
= Rh, Pd, and Pt) are linearly related to the corresponding surface
O vacancy formation energies. (Blue dot: first half, CO oxidation;
red square: second half, CO oxidation.)We also investigated CO oxidation on the LFO-VSO-M models
that contain a subsurface O vacancy. The activation barrier for the
first CO2 formation step for M = Rh is 0.54 eV, which is
substantially lower than that for LFO-Rh. CO2 desorption
from LFO-VSO-Rh costs 1.10 eV, the high value being ascribed
to the high energy for surface O vacancy formation on this surface.
The second CO2 formation step for LFO-VSO-Rh
is 2.11 eV. Even though this barrier is lower than the barrier of
2.54 eV for LFO-Rh, it is too high to be relevant for catalytic CO
oxidation. For LFO-VSO-Pd and LFO-VSO-Pt, CO
oxidation is less likely to proceed on these surfaces because of the
very weak adsorption of CO.The CO oxidation potential energy
diagrams for the single Rh, Pd,
and Pt atoms adsorbed on the LFO surfaces are quite different. CO
adsorbs on Rh of Rhads-LFO relatively weakly compared to
LFO-Rh, which facilitates the migration of CO during the CO2 formation step. Indeed, the barrier for this step is only 0.93 eV,
substantially lower than the value of 1.38 eV for LFO-Rh. The relatively
high CO2 desorption energy (0.64 eV) is consistent with
the high surface O vacancy formation (3.02 eV) for stoichiometric
Rhads-LFO. After adsorption of O2 and CO, the
following CO2 formation step needs to overcome a barrier
of 1.32 eV. In contrast to LFO-Rh, Rhads-LFO exhibits a
lower overall activation barrier and CO2 desorption energy.
It is noteworthy that the square-planar local structures formed on
single Pd and Pt atoms adsorbed on the LFO surfaces preclude the simultaneous
binding of CO and O2.Next we study the influence
of VLa on the catalytic
properties of a Rh atom adsorbed LFO. As shown in Figure b, the first CO2 formation involves a barrier of 0.35 eV. The second CO2 formation step on this surface also exhibits a relatively low activation
barrier (0.98 eV) compared to the corresponding barrier of 1.32 eV
for the stoichiometric Rhads-LFO. As to the Pdads-LFO-VLa and Ptads-LFO-VLa, we find
that also these surfaces cannot catalyze CO oxidation due to the very
weak adsorption of CO and O2.
Microkinetics
Modeling
To systematically
evaluate the catalytic activities of CO oxidation on the above LFO-supported
single-atom catalysts, we carried out microkinetics simulations based
on the potential energy diagrams. Figure shows that predicted CO2 formation
rates on the defective LFO-supported Rh, Pd, and Pt models are substantially
higher than those on their stoichiometric counterparts. This is in
line with an experimental indication that La defects improve the catalytic
activity of CO oxidation on Rh-dopedLFO.[38] Our modeling reveals that the increased activity on such La-deficientLFO models is due to intermediate CO and O2 adsorption
energies and low overall activation barriers. Notably, our data predict
that LFO-VLa-Pd is the preferred composition, indicating
that replacement of Rh by Pd should be promising.
Figure 6
Microkinetics simulations
for CO oxidation on LFO-supported Rh,
Pd, and Pt catalysts. CO2 formation rates r (in mol s–1) as a function of temperature on different
models (P = 1 atm, CO/O2 ratio = 1): (a)
LFO-Rh, LFO-VLa-Rh, LFO-VSO-Rh, Rhads-LFO, and Rhads-LFO-VLa; (b) LFO-Pd, LFO-VLa-Pd, LFO-Pt, and LFO-VLa-Pt.
Microkinetics simulations
for CO oxidation on LFO-supported Rh,
Pd, and Pt catalysts. CO2 formation rates r (in mol s–1) as a function of temperature on different
models (P = 1 atm, CO/O2 ratio = 1): (a)
LFO-Rh, LFO-VLa-Rh, LFO-VSO-Rh, Rhads-LFO, and Rhads-LFO-VLa; (b) LFO-Pd, LFO-VLa-Pd, LFO-Pt, and LFO-VLa-Pt.We further analyzed the kinetics in more detail. Inspection
of
the steady-state surface coverages (Figure ) shows that both the Rh sites and surface
O vacancy sites of LFO-Rh are occupied by CO and O2 species,
respectively, up to relatively high temperature. For LFO-VLa-Rh, adsorbed CO can already react at low temperature with adsorbed
O2 species because the associated barrier is much lower
for the surface with a La defect in comparison to the stoichiometric
LFO-Rh surface. A DRC analysis supports the coverage differences between
LFO-Rh and LFO-VLa-Rh in the sense that the reaction of
adsorbed CO with adsorbed O2 is the rate-determining step.
Similar kinetic trends are computed for the Pd- and Pt-containing
LFO surfaces (Figure S5).
Figure 7
Calculated steady-state
coverages (a–e) and DRC analysis
(f–j) for CO oxidation on LFO-Rh, LFO-VLa-Rh, LFO-VSO-Rh, Rhads-LFO-VLa, and Rhads-LFO. Herein, * and # represent the surface sites on the Rh atom
and LFO support, respectively. (P = 1 atm, CO/O2 ratio = 1.)
Calculated steady-state
coverages (a–e) and DRC analysis
(f–j) for CO oxidation on LFO-Rh, LFO-VLa-Rh, LFO-VSO-Rh, Rhads-LFO-VLa, and Rhads-LFO. Herein, * and # represent the surface sites on the Rh atom
and LFO support, respectively. (P = 1 atm, CO/O2 ratio = 1.)
Conclusions
In summary, we investigated
CO oxidation on LFO-supported Rh, Pd,
and Pt single-atom models by first-principles DFT calculations and
microkinetics simulations. Next to the stoichiometric LFO surface,
we also explored the influence of La defects and subsurface O vacancies
on the catalytic rates. Models containing such defects enhance the
stability of these single atoms adsorbed at the LFO surface or doped
into the surface replacing Fe. These changes also affect the CO and
O2 adsorption energies and, in this way, affect the barrier
for CO oxidation surface reactions. An important finding is that LFO
surfaces with a La defect result in optimum CO and O2 binding
energies with respect to CO oxidation barriers. A strong correlation
between these activation barriers and the oxygen vacancy formation
energy is found. Microkinetics simulations emphasize the higher CO
oxidation rates for the Rh-, Pd-, and Pt-dopedLFO surfaces with a
La defect compared to the cases of the stoichiometric surface. Among
all the considered models, Pd-doped LFO with the La defect exhibits
the highest activity for the low-temperature CO oxidation. Notably,
the presence of subsurface O vacancies only facilitates CO oxidation
on the Rh-adsorbed LFO surface. Thus, our results demonstrate that
the introduction of La defects in LFO-based environmental catalysts
is a promising strategy toward improved oxidation performance.