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Barriers of Electrochemical CO Reduction on Transition Metals Chuan Shi, Karen Chan, Jong Suk Yoo, and Jens K. Norskov Org. Process Res. Dev., Just Accepted Manuscript • DOI: 10.1021/acs.oprd.6b00103 • Publication Date (Web): 15 Jul 2016 Downloaded from http://pubs.acs.org on July 18, 2016
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Barriers of Electrochemical CO2 Reduction on Transition Metals Chuan Shi,† Karen Chan,†,‡ Jong Suk Yoo,† and Jens K. Nørskov∗,†,‡ †Department of Chemical Engineering, Stanford University, Stanford, CA, USA ‡SLAC National Accelerator Laboratory, Menlo Park, CA, USA E-mail:
[email protected] 1
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Abstract Theoretical investigations of electrochemical CO2 reduction have received increasing interest due its potential impact on renewable energy storage. We use density functional theory with an explicit solvent model of the electrochemical interface to calculate activation energy barriers for various proton-electron transfer elementary reactions steps for CO2 reduction on Au, Cu, and Pt surfaces. We find the protonation of unhydrogenated oxygen to be trivial compared to the protonation of carbon and R-OH species, which induces C-O scission. Our revised free energy diagram for the reduction of CO2 to methane on Cu(211) includes these observations and suggests that the dominant pathway includes *CHOH and *CH as intermediates rather than *OCH3 .
Graphical TOC Entry
CO2 reduction barriers on transition metal surfaces
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Electroreduction of CO2 has received considerable interest recently, as it could be a means to store energy from intermittent renewable sources and at the same time mitigate the rising levels of anthropomorphic CO2 emissions. Using electricity from renewable sources, one could use water and CO2 to generate hydrocarbons and alcohols for use as fuels or commodity chemicals. The products of CO2 reduction could be used as fuel or feedstock for the existing infrastructure that uses fuels from fossil sources. Substantial improvements in activity and selectivity of electrocatalysts are required for such a process to become viable. 1–3 Polycrystalline copper is the most widely-studied heterogeneous catalyst for CO2 reduction, 4–9 since it is the only pure metal catalyst is selective towards hydrocarbons, although at a prohibitively high overpotential of around 1 V. 4,10 Recent work on nanostructured Cu has reported onset potentials for C-C coupled products from CO reduction at overpotentials of only 0.3V, but the specific current densities remain low. 11 Transition metals such as platinum and nickel are poisoned by CO and are primarily selective for hydrogen evolution rather than CO2 reduction in typical bicarbonate electrolytes and have received less attention. 12,13 The other coinage metals such as gold and silver produce primarily CO from CO2 reduction, while the p-block metals tend to produce primarily formate. 13,14 This makes copper unique as the only transition metal catalyst that produces a significant amount of methane and C-C coupled products. 13,14 Previous theoretical analyses have usually applied a thermochemical approach, which allows for the determination of the reaction free energies for the elementary steps without explicit consideration of solvated protons or the potential at the interface. 15–22 Calculated limiting potentials, defined as the potential at which a the reaction free energy becomes exergonic, have been shown to correlate well with experimental onset potentials. 13,23,24 Scaling relations between intermediates of many of the late transition metals have also established catalyst screening criteria. 25 Surmountable reaction free energies, 23–25 however, are a necessary but not sufficient condition for facile kinetics, nor can they predict selectivities towards the myriad of possible
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(a)
(b)
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(c)
Figure 1: Barriers for proton-electron transfers (a) to *CHOH to form *CH and H2 O on Cu(211) (b) to *CO to form *CHO on Cu(111) (c) to *OCH3 to form CH3 OH on Au(111). All barriers were calculated at constant charge and the corresponding work function is shown in red. Lines were drawn to guide the eye. reduced products. Recent works have have taken initial steps beyond the thermochemical approach. Nie et al. considered proton transfer barriers on Cu(111) using surface hydrogenation barriers as an approximation to proton transfer ones. 26,27 Xiao et al. used an implicit solvation method to maintain a constant potential during proton-electron transfers to calculate barriers on Cu(111). 28 Cheng et al. calculated both proton and surface hydrogenation barriers on Cu(100) surface using quantum molecular dynamics using a simple implicit solvation model to describe the electrochemical interface. 29 Hussain et al. use a unit cell extrapolation scheme and explicit solvation to calculate barriers on a variety of FCC (111) transition metals. 30 These works show differences in pathways on stepped and flat Cu from those that were predicted from a solely thermochemical analysis. 23,24 In this work, we have calculated relevant proton-transfer reaction barriers in the pathway from CO2 to CH4 and CH3 OH on 4 representative transition metal surfaces: Pt(111), Cu(111), Cu(211), and Au(111). CO binds strongly on Pt, moderately on Cu, and weakly on Au. 25 We have used an explicit solvent approach to the metal|solution interface and applied 4
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an extrapolation scheme to obtain estimates of the barrier at constant potential. 31,32 At reducing potentials, we expect the surface of many transition metal catalysts to favor adsorbed hydrogen over species such as *O or *OH, opening the way for surface hydrogenations as an alternate pathway to direct protonation. 25,33 We also calculate and compile barriers for the surface hydrogenation versions of many relevant barriers for CO2 reduction and discuss how they compare to their electrochemical counterparts. We propose a generic reaction network on transition metals based on the trends in barriers considered, and propose a revised reaction pathway on Cu(211) All atomistic calculations were performed using the DACAPO code using with the revised Perdew-Burke-Ernzerhof (RPBE) functional, a plane-wave basis set, and ultrasoft pseudopotentials. 34–38 All calculations used periodic boundary conditions, a planewave cutoff of 340 eV, and a density cutoff of 500 eV. Computational cell sizes used in this work were 3 × 2, 3 × 3, and 3 × 4, with 3–4 layers of metal atoms, of which two layers were fixed. These cells used, respectively, 4 × 6 × 1, 4 × 4 × 1, and 4 × 3 × 1 Monkhorst-Pack 39 grids of k-points to sample the first Brillouin zone. All binding energies in this work were calculated using optimized geometries relaxed to 0.03 eV ˚ A−1 using the BFGS linesearch method, implemented within the Atomic Simulation Environment (ASE). 40 The climbing-image nudged elastic band (NEB) 41,42 method was used to find transition states, with forces minimized to 0.05 eV ˚ A−1 . Vibrational frequencies were calculated within the harmonic approximation 43 using the finite difference method with displacements of ±0.01˚ A. Surface hydrogenation barriers were calculated in vacuum. Proton–electron transfer barriers were calculated using an explicit solvent model of the electrochemical interface, which includes the metal slab, adsorbates, and a water layer with a solvated proton. 31 The electronic structure calculation spontaneously separates an electron from the extra hydrogen in the water layer to form a double layer capacitor. The water layer is positively charged and the surface layer negatively charged. By adjusting the number of extra hydrogen atoms in
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the water layer, it is possible to adjust the charge and potential of the surface. 31 Water structures were determined on Cu(211) using a minima hopping algorithm, which seeks global minima for atomic geometries. The algorithm uses a combination of constrained molecular dynamics and geometry optimization steps. 44 We selected the water structure by considering various water densities and computational cell sizes, and selected the water structure with the lowest binding energy per water molecule. (111) water structures were assumed to follow a hexagonal ice-like structure as determined in UHV experiments on Pt(111). 45 Fig. 1 shows three examples of the barriers calculated in this work. Fig. 1a shows the potential energy diagram for the proton-electron transfer to *CHOH to form *CH and H2 O on Cu(211). In the initial state, a relaxed water structure on Cu(211) is perturbed by the inclusion of an additional hydrogen atom. In the final state, the proton has been transferred to the oxygen end of *CHOH to form *CH and H2 O, discharging the capacitor. Figs. 1b and 1c show examples of barriers for proton-electron transfers to *CO to form *CHO on Cu(111) and to *OCH3 to form CH3 OH and H2 O on Au(111), respectively. The potential at the interface was calculated by relating the work function to the experimental work function of the standard hydrogen electrode via
USHE =
Φ − ΦSHE . e
(1)
ΦSHE for which we use the experimentally-determined value of ∼ 4.4eV. 46 The calculations performed using this model of the electrochemical interface are done at constant charge rather than constant potential. The number of electrons in the computational cell is constant for each image along the reaction coordinate, but due to the the transfer of charge across the interface, the work function (and thus the electrochemical potential represented by the calculation) of the system may differ. The bottom panels of Fig. 1 show the corresponding shifts in work function along the reaction paths; shifts of 1.5-3eV are
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observed for all 3 barriers, corresponding to 1.5-3V shifts in potential. In this work, we apply a recently developed method to circumvent this issue using a capacitor model, 32,47 which allows us to extrapolate from the constant charge to constant potential limit using the change in interfacial charge. The basis of this method is that the electrostatic contributions to the energy can be approximated by a capacitor model, which allows us to determine the potential dependence of a given barrier using a single constant charge calculation. The method was benchmarked to calculations that were explicitly extrapolated to constant potential using a series of increasing cell sizes. There are several caveats with this approach. Firstly, there is an additional contribution to the potential when adsorbate dipoles re-orient which is not accounted for in the current version of the model. Secondly, density functional theory gives a charge delocalization error that can affect the charge-extrapolated energetics. 48–52 Finally, the dipole orientation of water has been shown to shift the theoretical NHE reference work function. 53 Ongoing work seeks to resolve these issues. The focus of the analysis here is on the overall trends in the data. Key proton-transfer reaction barriers for CO2 reduction to CH4 and CH3 OH on Pt(111), Cu(111), Cu(211), and Au(111) have been calculated and their extrapolated values at 0V vs. SHE are shown in Table 1. Both ∆E and Ea are electronic energies that have been corrected for potential using the extrapolation scheme of Ref. 32,47 The values for the original electronic energies can be found in the Supporting Information. Where reaction energies ∆E and Ea are equal, there is no additional activation barrier to the thermochemical reaction energy. We have also listed cases where the calculation lead to a spontaneous H transfer to the surface, which suggests surface hydrogenation pathway to be more favorable. We have broadly classified the barriers into four groups: 1. R-O → R-OH 2. R-OH → R + H2 O 3. CHx → CHx+1 7
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4. CO → CHO Table 1: Table of charge extrapolated proton electron transfer barriers Reaction *CO2 → *COOH *CO2 → *COOH *CO → *COH CO → *COH CO → *COH *CHO → *CHOH *OCH3 →CH3 OH *COOH → *CO *COH → *C *COH → *C *COH → *C *COH → *C *CH2 OH → *CH2 *CHOH → *CH *CHOH → *CH *CHOH → *CH *CHOH → *CH *CO → *CHO *CO → *CHO *CO → *CHO *CO → *CHO *C → *CH *CH → *CH2 *CH2 → *CH3 *CH3 →CH4 *CH2 → *CH3 *CH3 → CH4 *C → *CH *OCH3 →CH4 + *O *OCH3 →CH4 + *O *OCH3 →CH4 + *O
Classification R-O → R-OH R-O → R-OH R-O → R-OH R-O → R-OH R-O → R-OH R-O → R-OH R-O → R-OH R-OH → R + H2 O R-OH → R + H2 O R-OH → R + H2 O R-OH → R + H2 O R-OH → R + H2 O R-OH → R + H2 O R-OH → R + H2 O R-OH → R + H2 O R-OH → R + H2 O R-OH → R + H2 O Transfer to C Transfer to C Transfer to C Transfer to C Transfer to C Transfer to C Transfer to C Transfer to C Transfer to C Transfer to C Transfer to C Transfer to C Transfer to C Transfer to C
Surface Pt(111) Cu(211) Pt(111) Pt(111) (H*) Cu(111) Cu(211) Au(111) Pt(111) Pt(111) Pt(111) (H*) Cu(111) Cu(211) Pt(111) Au(111) Cu(211) Cu(111) Pt(111) Au(111) Cu(111) Cu(211) Pt(111) Cu(211) Cu(211) Cu(211) Cu(211) Pt(111) Pt(111) Pt(111) Pt(111) Cu(211) Au(111)
∆E at Φ = 4.4eV Ea at Φ = 4.4eV -0.51 0 -0.05 0.13 0.64 0.64 0.75 0.75 0.84 0.84 0.06 0.06 -1.95 0.03 -0.56 0.66 0 0.68 -0.63 1.14 0.49 0.99 -0.63 0.84 -0.33 0.34 -0.48 0.58 -0.37 0.47 -0.58 1.42 -0.99 0.38 -0.09 0.54 0.57 1.11 0.43 0.97 1.43 1.91 Spontaneous H transfer to surface Spontaneous H transfer to surface Spontaneous H transfer to surface Spontaneous H transfer to surface 1.25 1.25 0.91 0.91 0.16 0.32 Unable to converge, unfeasible barrier Unable to converge, unfeasible barrier Unable to converge, unfeasible barrier
Figure 2 presents the data for these 4 groups in the form of Brønsted-Evans-Polanyi (BEP) plots, i.e. Ea vs. ∆E, at 0VSHE . Certain proton-electron transfers are indicated with symbols i.e. *CO → *CHO (inverted triangles), *COH → *C (squares), and *CHOH → *CH (pentagons). The shaded blue region indicates the range of Ea = 0.55eV to 0.95eV. A barrier of 0.75eV would give a turnover frequency of approximately ∼1/s−1 at room temperature with a typical prefactor. The shaded range allows for the inaccuracies in the extrapolation method discussed above, as well as uncertainty in DFT, 54 coverage effects, 24 and free energy corrections. 23 This rate of ∼1/s−1 is considered to be the threshold for facile kinetics. 55 At 8
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∆E > 0, the dashed blue line corresponds to Ea = ∆E , i.e. the case where there is no additional activation energy on top of the reaction energy for the proton-electron transfer step. At ∆E < 0 it corresponds to Ea = 0.
Figure 2: Brønsted-Evans-Polyani (BEP) relationships for 4 classes of elementary steps relevant for CO2 electroreduction plotted as Ea vs. ∆E extrapolated to 0 V vs. SHE. The blue dashed line represents a reaction with no additional barrier above its reaction energy. Inverted triangles: *CO → *CHO, squares: *COH → *C, pentagons: *CHOH → *CH, and circles showing all other reactions. In general, we find no cases where the R-O → R-OH transfers are kinetically limited when the thermodynamic energies are surmountable. On the other hand, R-OH → R + H2 O and transfers to C may be kinetically limited even if the thermodynamics are favorable. We rationalize these trends with a simple electronegativity argument. Transfers to O are more facile than C due to O having a larger electronegativity. Transfers to R-OH → R + H2 O involve a proton transfer to O as well, but the overall barrier also depends on breaking the R-O bond, which is not generally facile. CO → CHO shows linear scaling between activation and reaction energy. We also calculated relevant surface hydrogenation barriers, listed in the Supporting Information and Fig. 3, shown as Brønsted-Evans-Polyani (BEP) relations. This data set includes our own calculations along with data found in CatApp. 56 In all cases, the barriers for the surface hydrogenation barriers are calculate at low adsorbate coverage in vacuum.
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Figure 3: Brønsted-Evans-Polanyi relationships for surface hydrogenations relevant to CO2 reduction. Data taken primarily form CatApp supplemented by our own calculations. See Supporting Information for table of values. Colors indicate the metal/facet and follow the same legend as in Fig. 2 Additionally, green: Rh(111), cyan: Pd(111), magenta: Ag(111). In general, surface hydrogenations on transition metals of CO2 reduction intermediates are feasible with the exception of certain reactions on strong-binding transition metals (Pt, Pd, and Rh) which in CO2 reducing conditions would be subject to adsorbate-adsorbate interactions, and CO → COH, which has a low electrochemical barrier. Surface hydrogenation may be the predominant way in which CHx are hydrogenated, since attemps to determine proton-electron transfer barriers yielded spontaneous H adsorption on the surface. Based on the collection of proton transfer and surface hydrogenation barriers, we can classify transfers to R-O as generally facile, while R-OH → R + H2 O and transfers to C are not. We attempted to determine the barriers for proton transfer to *OCH3 to form CH4 on several surfaces, but the calculations invariably led to O-C scission prior to proton transfer and the creation of a CH3 radical with an insurmountable >2eV barrier. The corresponding surface hydrogenation barrier is also insurmountable at > 2eV. Therefore the path from *OCH3 to form CH4 is not expected to ever be viable. A purely thermodynamic analysis like that performed by Ref. 23 predicts that this elementary step to be the most favorable. Our finding that this step should be kinetically infeasible is in agreement with 10
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Ref., 27 who have estimated proton transfer barriers on Cu(111) by approximating them by surface-hydrogenation ones. This is also consistent with the analysis on Cu(100) 29 done using quantum molecular dynamics. Based on this classification, we have generated a generic reaction network for the pathway from CO2 to CH4 and CH3 OH, valid for at least the 4 transition metals studied, shown in Fig. 4. As Au , Cu and Pt span a wide range of *CO binding energies, 25 we expect this result to hold for other transition metals as well. Reactants and products are indicated in green. Facile barriers were represented by solid lines, possibly difficult ones by dashed lines; dotted lines represent the insurmountable methoxy pathway. Fig. 5 shows an updated approximate free energy diagram for Cu(211) including the barriers for the predicted pathway, which in contrast to the thermochemical analysis 23 shows a pathway with neither *OCH3 nor CH2 O. We have found, in agreement with other calculations in the literature, 27 that *OCH3 tends to form methanol over methane. We find the protonation of *CHO to *CHOH to be facile, which leaves the only feasible C-O scission step to be *CHOH to *CH. Therefore, the selectivity towards methane vs. methanol tis likely determined by the reaction energetics towards *CHOH vs. CH2 O. This is consistent with an experimental study showing formaldehyde reduction favors methanol over methane. 9 We have not included any electrochemical CO → COH barriers for Cu(211) due to the large (∼ 0.8eV) difference in adsorption energy between COH and CHO, which is larger than the barrier at 0V vs. SHE. Dashed lines represent steps that likely involve a proton-electron transfer, and as solid lines represent steps likely to be surface hydrogenations. For simplicity the transfer coefficient β in this diagram was assumed to be 0.5. Our calculations prefer the *CO → *CHO pathway on Cu(211) over *CO → *COH as proposed by Refs 26,29 primarily because of thermodynamics rather than kinetics. We agree with other calculations with the conclusion that the protonation of the oxygen-end of *CO is kinetically easier than the carbon end, but on Cu(211) in particular, the thermodynamic difference between the stability of *COH and *CHO is much larger than on the other facets
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Figure 4: Generic reaction network based on calculated barriers. Green circles indicate gas phase products and reactant, and black circles the adsorbed reaction intermediates. Black solid lines indicate facile barriers, and dashed ones barriers that can be difficult. We have also included a dotted line from OCH3 to CH4 , which is not expected to ever be surmountable. (approximately 0.8 eV on Cu(211) versus 0.5 eV on Cu(111) and 0.4 eV on Cu(100)). In all cases, *CHO is the thermodynamically-favored intermediate, but the exact surface, kinetics, solvation, and coverage effects can play a role in which pathway is presented as the ”correct” one. In summary, we have calculated relevant proton-electron transfer barriers for CO2 reduction on 4 representative transition metal surfaces: Pt(111), Cu(111), Cu(211), and Au(111). We have classified barriers into 4 groups: R-O to R-OH, R-OH to R + H2 O, CHx → CHx+1 , 12
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Figure 5: Free energy diagram for the most likely pathway for CO2 electroreduction to CH4 on Cu(211) at two different potentials. Dashed lines represent steps that likely involve a proton-electron transfer as opposed to solid lines which represent steps that are facile as surface hydrogenations. An electrochemical transfer coefficient of 0.5 was assumed for the proton-electron transfers. and CO → CHO. In general the first group is facile, whereas the others are not generally facile. We attribute these trends to the electronegativity of O vs. C, and also the variation in R-OH bond strengths that contributes to the R-OH to R + H2 O barrier. Based on the barriers determined, we have proposed a revised CO2 to CH4 pathway which goes through a *CHOH, *CH, *CH2 , *CH3 pathway to CH4 . Future work will address barriers for CC coupling and subsequent products, as well as integrating the reaction energetics into a microkinetic model for CO2 reduction
Acknowledgement This material is based on work supported by the Air Force Office of Scientific Research through the MURI program under AFOSR Award No. FA9550-10-1-0572. This material is based upon work performed by the Joint Center for Artificial Photosynthesis, a DOE Energy Innovation Hub, supported through the Office of Science of the U.S. Department of Energy under Award Number DE-SC0004993.
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Supporting Information Supporting Information for this article contains full tables of the surface hydrogenation barriers used for Figure 3. Additionally, we have included the calculated energies, charges, and work functions necessary for the extrapolation to constant potential used in this work.
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