Nature of Highly Active Electrocatalytic Sites for the Hydrogen

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Article Cite This: ACS Omega 2017, 2, 8141-8147

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Nature of Highly Active Electrocatalytic Sites for the Hydrogen Evolution Reaction at Pt Electrodes in Acidic Media Marcus D. Pohl,† Sebastian Watzele,† Federico Calle-Vallejo,*,‡,§ and Aliaksandr S. Bandarenka*,†,∥ †

Physik-Department ECS, Technische Universität München, James-Franck-Str. 1, D-85748 Garching, Germany Leiden Institute of Chemistry, Leiden University, P.O. Box 9502, 2300 RA Leiden, The Netherlands § Departament de Ciència de Materials i Química Fisica & Institut de Química Teòrica i Computacional (IQTCUB), Universitat de Barcelona, Martí i Franqués 1, 08028 Barcelona, Spain ∥ Nanosystems Initiative Munich (NIM), Schellingstraße 4, 80799 Munich, Germany ‡

ABSTRACT: The hydrogen evolution reaction (HER) is one of the two processes in electrolytic water splitting. Known for more than two centuries, the HER still receives great attention in fundamental and applied science in view of its apparent simplicity (only two electrons are transferred), fast kinetics in acidic media, and promising technological applications in electrolyzers. However, the exact nature of active catalytic sites for this reaction is often uncertain, especially at nonuniform metal electrodes. Identification of such centers is important, as the HER will probably be central in future energy provision schemes, and it is simultaneously a convenient model reaction to study structure− composition−activity relations in catalysis. In this work, using simple coordination−activity considerations, we outline the location and geometric configuration of the active sites at various model Pt single-crystal electrodes. We show that when the coordination of such surface sites is optimized and their density at the surface is maximized, the experimentalspecific HER activities are among the highest reported in the literature for pure platinum with a well-defined surface structure under similar conditions.

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HER activity maximum is shown in Figure 1. The figure links the trends in the measured HER activities (y-axis) with the *H

INTRODUCTION The hydrogen evolution reaction (HER) is not only one of the pillars of the so-called “hydrogen economy”1,2 but also one of the fastest reactions in electrocatalysis.3 However, relevant modern devices which make use of it, such as polymer electrolyte membrane electrolyzers, require significant loadings of costly Pt catalysts on the cathodes to achieve reasonable efficiencies. The loadings can be reduced if the most active sites are first identified and then maximized on the catalysts by suitable synthesis methods. However, the nature of the active catalytic sites for the HER on Pt is still under debate. In this communication, we demonstrate that simple coordination− activity relations can shed light on the nature of the most active catalytic centers on various model stepped surfaces of pure Pt in acidic media. We show that increasing the density of those sites grants high activities without any need for alloying or other modifications with foreign metals. In addition, we explain some typical trends experimentally observable in HER electrocatalysis at Pt surfaces in acidic media. We start our analysis assuming that during the HER only adsorbed hydrogen species (*H) play a dominant role. Besides, following the approach of Nørskov et al.,4,5 we do not consider any prevailing mechanism for this reaction: as a first approximation, we only consider the binding energy of hydrogen at a specific catalytic site as a descriptor and neglect, for instance, the surface diffusion of adsorbed hydrogen species during the reaction, which is necessary for the so-called Tafel step. In this order of ideas, a simplified “roadmap” to reach the © 2017 American Chemical Society

Figure 1. “Volcano” plot correlating the experimentally measured HER activities for the closely packed metal surfaces and the calculated binding energies of *H, according to ref 6. The optimal catalytic sites should bind the *H intermediates ∼0.1 eV more weakly than Pt(111).

binding energies for pure metals (x-axis) assessed with density functional theory (DFT) calculations.6 Although the exact value of the activity optimum likely depends on the surface coverage of hydrogen,6 in general lines, it can be concluded that the optimal active sites should bind *H intermediates slightly more weakly (∼0.1 eV) than Pt(111).7 Koper has shown8 that in most cases ΔGH is sufficient to model the HER and make Received: August 31, 2017 Accepted: October 19, 2017 Published: November 20, 2017 8141

DOI: 10.1021/acsomega.7b01126 ACS Omega 2017, 2, 8141−8147

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useful predictions of new materials. The advantages of this thermodynamic approach are that it avoids transition-state calculations and does not require knowledge on whether the reaction mechanism is Volmer−Tafel or Volmer−Heyrovsky, paramount to make affordable computational models because the two mechanisms might be operative under HER conditions on Pt.9 Note, however, that Figure 1 gives a trend and provides an adsorption-energy condition for the optimal HER catalyst but does not provide any additional information on how to actually design enhanced active sites. Model Pt(111) is a rather active surface for the HER, but there are affordable ways to increase its activity. For example, the activity can be increased by alloying Pt with other (mainly transition) metals or by positioning monolayer amounts of those metals on the surface.10−13 Another approach would be to optimize the active catalytic centers by introducing certain defects, which can be, for instance, identified using the so-called generalized coordination numbers (CN ).14 In simple terms, CN is a weighted average (see the Experimental Section) of the conventional coordination numbers that links adsorption energies of the intermediate to the geometric environment of the active sites where they adsorb.15 Consequently, general information about the geometry of the sites can be obtained if activity plots are made based on CN. In this context, coordination−activity plots provide a means to connect two of the pillars of modern heterogeneous catalysis, namely, the Sabatier principle (optimality is found when adsorption and desorption processes are equally fast) and the Taylor hypothesis of active centers.16 While the connection between HER activity and hydrogen binding strength through the Sabatier principle is well-accepted,5,6,9,30 the systematic connection between the HER activity and surface morphology is much less common. This is probably because most of the theoretical approaches in catalysis17 are based on energetic descriptors, namely, adsorption energies, band centers, work functions, and so forth, which do not contain any structural information per se. In this work, we identify the geometric nature and location of the most probable HER active sites at some model Pt electrodes and, based on that, experimentally demonstrate one of the highest HER activities for pure platinum well-defined surfaces reported in the literature under similar conditions.

Figure 2. (A) Coordination−activity plot linking the geometry (in terms of generalized coordination numbers) and the HER activity of various Pt catalytic centers. SE and SB designate the step edge and bottom, respectively, and AD denotes adatoms on the surface of Pt(111). Inset: correlation between differential adsorption energies with respect to Pt(111) and generalized coordination numbers. The gray zone corresponds to ±0.05 eV around the linear fit, which is the maximum absolute error. The corresponding error propagation is shown in gray in the main panel as well. (B−F) H* adsorption configurations for the sites in (A).

sites7.5, whereas the optimal sites are predicted to have a generalized coordination number 7.7. The above-mentioned optimal Pt sites can be constructed without any introduction of atoms of foreign metals. Probably, the most straightforward way is to introduce concave Pt defects, as shown in Figure 2, in which the most active sites are always located at the bottom of the steps. Taking the case of Pt(331), which can also be denoted by Pt[3(111) × (111)], where n = 3 is the atomic width of the terraces. For instance, the bridge sites at the step bottoms (Figure 2C right) have a generalized coordination number 7.33, which is closer to the optimum (7.7) in terms of *H binding energies compared to pure Pt(111). Sites with larger coordination, such as the step bottoms of Pt(553) (the generalized coordination of which is identical to those at the step bottoms in Pt(221) and Pt(775), the only difference being the terrace length) should also enhance the HER activity with respect to Pt(111). By contrast, the undercoordinated bridge sites at the step edges schematically shown in Figure 2C (left) have low generalized coordination numbers (5.44) and consequently bind *H too strongly to consider them as active centers (see Figures 1 and 2A). Lowering the generalized coordination

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RESULTS AND DISCUSSION Figure 2A displays the coordination−activity plot for a series of sites at Pt surfaces, namely, Pt(hkl) surfaces and Pt adatoms located on Pt(111). In the following, Pt(hkl) is also represented as Pt[n(h1k1l1) × (h2k2l2)]. In this notation, (h1k1l1) is the terrace type, n is the atomic length of such terrace, and (h2k2l2) are the step types that separate consecutive terraces. Note that only the threefold hollow sites and the bridge sites are considered here as the most probable active centers (see examples in Figure 2B−F) because *H does not occupy “ontop” positions at low and moderate coverages, according to DFT calculations (see, e.g., ref 7.) In particular, the inset in Figure 2A demonstrates how the *H adsorption energies change with the generalized coordination number at different sites on various Pt surfaces compared to Pt(111), as indicated in the plot by ΔΔGH. For comparison, note that the face-centered cubic (fcc)-threefold hollow sites on Pt(111) have the generalized coordination number 6.95 (Figure 2B), hexagonal close-packed (hcp)-threefold hollow 8142


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numbers even further (e.g., by having adatoms of Pt on Pt(111), nAD@Pt(111)) in Figure 2A, with n = 2, 3 (see the *H adsorption sites in Figure 2D−F) should not enhance the activity either. Regarding the accuracy of the analysis in Figure 2A, note that the maximum/mean absolute errors (MAX and MAE) in the correlation between ΔGH and CN are as low as 0.05/0.02 eV. Such small errors make it fair to attribute activity differences to sites for which ΔGH differs by ∼0.10 eV. As all calculations were made only for Pt, using the same calculation settings and proportional k-point samplings according to the cell size, most DFT-associated errors should cancel out when subtracting adsorption energies, which justifies the choice of ΔΔGH in Figure 2A (i.e., the differential hydrogen adsorption energy vs Pt(111)). Figure 2A includes error bars as well, showing the error propagation from correlations between ΔGH and CN to log i0. With the computational predictions in mind, we carried out HER experiments with various stepped Pt[n(111) × (111)] single-crystal surfaces, namely, Pt(331), Pt(221), and Pt(775). These have 111-like steps and (111) terraces, which are 3-, 4-, and 7-atom wide (in other words, n = 3, 4, and 7 in Pt[n(111) × (111)]). We excluded the experiments on Pt(110) (n = 2) in this case, as it reconstructs in a missing-row fashion during electrochemical experiments, resulting in longer terraces than expected.18−21 Conversely, Pt(331) (n = 3) has been shown to be stable against surface reconstruction.22 To confirm the quality of Pt(hkl) electrodes, cyclic voltammograms were taken in Ar-saturated 0.1 M HClO4 electrolytes. Figure 3A shows cyclic voltammograms of the investigated surfaces within the electrode potential areas of their electrochemical “fingerprints”.23 In Figure 3A, all of the surfaces exhibit the typical voltammetric behavior of stepped Pt single crystals in 0.1 M HClO4, revealing different characteristic features in the socalled hydrogen underpotential deposition (H-UPD) region (between ∼0.4 and 0.1 V) and the OH adsorption region (more positive than ∼0.5 V) and confirming the quality of the electrode surfaces. Figure 3B shows the integrated cathodic parts of the voltammograms in the H-UPD region. Owing to the availability of different adsorption sites,23 their number is greater than that of Pt(111) by ∼14% for Pt(221), by ∼28% for Pt(331), and by ∼45% for Pt(775). It should also be emphasized here that the sharp features in the hydrogen UPD region, responsible for such an increase, are due to *H/*OH replacement at step edges and similar undercoordinated sites.24 Thus, in the cathodic scan, all *OH species are likely replaced by *H. The importance of these differences will be emphasized later on. Another important aspect of the *H adsorption at different Pt[n(111) × (111)] surfaces is that the isotherms are shifted (Figure 3B) toward more negative potentials compared to Pt(111). If one selects a reference point where the adsorbate coverage is half of the maximal for Pt(111),3,25 the differences between the isotherms at this point reflect the average differences in the adsorbate binding energies.26 The shift is ∼0.04 V for Pt[3(111) × (111)], it is maximal (∼0.06 V) for Pt[4(111) × (111)], and it decreases down to ∼0.02 V for Pt[7(111) × (111)], in agreement with the general trends and models presented in Figure 2. Notably, Pt(221) demonstrates an average shift (∼0.06 V) in the binding potential that is very close to the optimum (∼0.09 V). However, note that the experimental isotherms represent

Figure 3. (A) Cyclic voltammograms of various Pt(hkl) electrodes in an Ar-saturated 0.1 M HClO4 at dU/dt = 50 mV/s. (B) Integrated cathodic currents (background corrected) in the potential regions indicated in (A). The dotted line in (B) marks the point where half of the maximal *H coverage is reached on Pt(111).

not only the contribution of the optimal catalytic sites but also terrace sites with binding energies close to those of Pt(111). Summarizing, Figure 3B reveals the existence of a significant number of adsorption sites at Pt[n(111) × (111)] electrodes that bind *H more weakly than Pt(111) and should be, therefore, more active toward the HER in accordance with the theoretical expectations described in Figure 2. We complement these observations with Figure 4, which contains the activity of Pt(111) and stepped Pt[n(111) × (111)] electrodes toward the HER in an Ar-saturated HClO4, under the hanging meniscus configuration. We selected this simplified protocol to ensure the minimal influence of undesired experimental factors27 and to be able to compare the results to the literature, where reports of the activity trends for the state-of-the-art materials in H2-free electrolytes are abundant (see, e.g., refs 28−2930). Moreover, the results are not corrected for the iR-drop to avoid additional errors in this particular case and to be able to compare the model surfaces under exactly the same conditions.28 Thus, rather than operating with the real exchange current densities, which are extremely difficult to measure in acidic media,4 we compare the activities at the reference points under exactly the same conditions and cell geometries. Cu−Pt(111) near-surface alloy (NSA) was used as an intrinsic probe to additionally benchmark the activities against a highly HER-active surface under similar conditions.3 8143


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reported for one of the most active alloy surfaces of Cu− Pt(111) NSAs. Figure 4B shows a bar chart comparing the activity at the reference point of −0.036 V (vs RHE) for the Pt(hkl) and polycrystalline Pt samples normalized to the geometric surface area. It can be seen that the stepped surfaces can display more than twofold activity enhancements with respect to Pt(111). However, taking into account that the experiments (Figure 3B) reveal a noticeable increase in the amount of *H adsorption sites for the stepped Pt single crystals, the corresponding activities should be corrected. The results of this correction are shown in Figure 4C. It can be seen that the maximal corrected activity is observed for Pt[4(111) × (111)] electrodes. They demonstrate an ∼1.8-fold activity improvement over Pt(111) and an ∼1.5-fold improvement over polycrystalline Pt. Figure 4D presents the data obtained as an additional reference for the HER: this reaction is likely intrinsically not diffusionlimited at low current densities at pH = 1. Even at a current density of 0.5 A/cm2, the diffusion-limited current is not reached. However, some contributions of the diffusion are not excluded at such high current densities. On the basis of our theoretical modeling and experimental data, we suggest that the active sites which govern the catalytic activity of pure Pt electrodes are located at concave sites with slightly increased coordination, similar to the optimal active sites for the oxygen reduction reaction on Pt surfaces,15,22 and in contrast to those for CO oxidation.31 These HER sites bind *H more weakly than Pt(111) terraces, similar to that of CuPt(111) NSAs.3 Although it has been suggested (see, e.g., ref 32) that the HER activity on Pt is not particularly structure-sensitive (though with some exceptions related to Pt(110) and Pt(100)33), our data suggest that such an idea is probably oversimplified. The latter opinion was supported by measurements using Pt[n(100) × (111)] or other families of stepped surfaces.33 For the sake of discussion, it is interesting to compare our results on Pt[n(111) × (111)] and those reported in the literature for Pt[n(111) × (100)] (Figure 5),33 where

Figure 4. (A) Typical cathodic branches of voltammograms comparing the HER activity of Pt[n(111) × (111)] electrodes in an Ar-saturated 0.1 M HClO4. CuPt(111)-NSA stands for the NSAs reported in ref 3. (B) Activity of the Pt[n(111) × (111)]surfaces at −0.036 V vs RHE. (C) Same activities as in (B) but corrected by the different number of adsorption sites as revealed by the voltammetry for the stepped Pt electrodes in Figure 3A,B. The sign “n” in (B,C) indicates the atomic width of the (111) terraces of the Pt electrodes. (D) Cathodic branch of the voltammogram of Pt(pc) microelectrode (25 μm diam.), demonstrating that at high current densities up to at least 0.5 A/cm2, the diffusion-limiting current is not reached, suggesting that at lower overpotentials in 0.1 M HClO4 no significant diffusion limitations can be expected. There are certain differences between the data analysis for microelectrodes and macroelectrodes, but they are not sufficient to explain the absence of the diffusionlimiting current for the microelectrodes.

Figure 5. Relative “apparent” exchange current densities for Pt[n(111) × (100)] surfaces as reported in ref 33. n = ∞ represents Pt(111).

only the type of steps is changed [(111) vs (100)]. For Pt[n(111) × (100)] electrodes, the activity improvement is also present, but it is less than 20% ( see Figure 5). Interestingly, the same ref 33 reports almost no improvement over Pt(111) when using Pt[n(100) × (hkl)] surfaces. This suggests that while surface coordination is a primary factor to enhance the activity, it might not be the only one in aqueous solution, where step symmetry is also important to define water solvation.34,35 Note in passing that also for the oxygen reduction reaction it has been observed that Pt(111) surfaces with (111)-like steps are more active than those with

Figure 4A shows that, in line with Figures 2 and 3, introducing specific surface defects indeed increases the HER activity of Pt[n(111) × (111)] electrodes. Pt(331), Pt(221), and Pt(775) show HER activities that are similar to those 8144


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(100)-like steps.27 Thus, only specific types of surface defects with “just right” coordination and beneficial adsorbate−solvent interactions enable high HER activities at nonuniform Pt surfaces.

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SUMMARY AND CONCLUSIONS In this work, we offer the following new findings related to the electrocatalytic HER at Pt surfaces in acidic media: (i) The HER is a structure-sensitive electrocatalytic reaction. The sensitivity is, however, limited to only certain concave defects, found in large quantities at, for example, Pt[n(111) × (111)] electrodes. (ii) The most active catalytic sites at pure Pt surfaces should have generalized coordination numbers close to 7.7. Examples of such sites are the threefold hollow or bridge sites at the step bottoms of Pt[n(111) × (111)], with n = 3 or 4. (iii) The most active pure platinum surface in 0.1 M HClO4, namely, Pt[4(111) × (111)], has an HER activity that is slightly lower (∼10−20%) than that measured for the most active alloy [Cu−Pt(111) NSA] under similar conditions. (iv) To maximize the specific and mass HER activity of nanostructured pure Pt electrocatalysts, it is important to modify the shape of the nanoparticles to create “concave catalytic centers” with the values of the generalized coordination numbers close to those of the step bottoms at Pt[n(111) × (111)] surfaces. (v) The predictive power of the coordination−activity plots is sufficient to rationalize the trends in HER activities.

Figure 6. Evaluation of the generalized coordination numbers on the four different adsorption sites on Pt(111): (A) top, (B) bridge, (C) hcp hollow, and (D) fcc hollow sites. In each case, the sites for which the assessment is made appear in red, their surface nearest neighbors appear in blue, and their subsurface nearest neighbors appear in green.

differences in *H adsorption energies are typically small among Pt active sites, we used dense k-point meshes for the slabs in Figure 2B−F, namely, 10 × 10 × 1 for Pt(111), 10 × 5 × 1 for Pt(553), 10 × 9 × 1 for Pt(331), and 7 × 7 × 1 for Pt(111) with 2 and 3 adatoms. The computational hydrogen electrode approach40 permits the use of the chemical potential of H2 instead of that of (H+ + e−) in solution, following the equilibrium 1 H 2 ↔ H + + e− (2) 2 H2 was simulated in a cubic box of 15 Å × 15 Å × 15 Å using a Γ-point distribution and kBT = 0.001 eV. Thus, the H* adsorption energies are given as 1 ΔG H = G H − G − G H2 * * 2 (3) where * is a free surface site. The free energies of the adsorbates are taken as

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EXPERIMENTAL SECTION Generalized Coordination Numbers. The generalized coordination number of a site i is estimated arithmetically from the sum of the conventional coordination numbers (cnj) of its ni nearest neighbors and normalized by the maximum number of neighbors found in the bulk of the crystal (cnmax)16 ni

CN =

∑ j=1

cnj cn max

(1)

Note that cnmax is different for each crystal system and also differs per site so that for an fcc metal such as Pt, top sites have a maximum of 12 neighbors, whereas bridge and threefold hollow sites can have up to 18 and 22 neighbors, respectively. Detailed examples on the assessment of generalized coordination numbers can be found in Figure 6 for Pt(111) and elsewhere for stepped surfaces and nanoparticles.3,15,16,36 Computational Methods. The DFT calculations were carried out with the Vienna Ab Initio Simulation Package,37 using the Perdew−Burke−Ernzerhof (PBE) exchange−correlation functional38 and the projector augmented-wave method.39 The slabs contained four metal layers: the topmost two and the adsorbates were completely free to relax, whereas the atoms at the two bottommost layers were immobile and the interatomic distance between them was 2.81 Å. The geometry optimizations were made with the conjugate-gradient scheme using 450 eV as plane-wave cutoff, until the maximum force on any free atom was below 0.01 eV Å−1. The vertical layer of the vacuum between periodic images was larger than 14 Å, and dipole corrections were also incorporated. We used kBT = 0.2 eV, and the energies were extrapolated to T = 0 K. Given that the

G = E DFT + ZPE − TS

(4)

EDFT and ZPE are the DFT-calculated total energy and zeropoint energy. ZPE*H on Pt is 0.15 eV, whereas ZPEH2 is 0.27 eV. TS*H is 0.01 eV at 300 K and TSH2 is 0.40 eV. We used Nørskov et al.’s microkinetic model to estimate the HER exchange current densities (i0).6 In this approach, i0 for ΔGH < 0 (left leg of the volcano plot) is estimated as i0 =

−ec ·k 0 1 + e−ΔG H / kBT

(5) −19

In eq 4, T = 300 K, −ec = 1.602 × 10 C is the charge of an electron, kB = 8.617 × 10−5 eV K−1 is the Boltzmann constant, and k0 is a free parameter in the model set to provide exchange current densities on the same order of magnitude of the experimental ones but has no influence on the activity trends (we used a value of 2 × 1017 s−1 cm−2). On the other hand, when ΔGH > 0 (right leg of the volcano plot), i0 is given as 8145


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−ec ·k 0·e−ΔG H / kBT 1+e

−ΔG H / kBT

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AUTHOR INFORMATION

Corresponding Authors

(6)

*E-mail: [email protected]. Phone: +31 71 527 4252 (F.C.-V.). *E-mail: [email protected]. Phone: +49 89 289 12531 (A.S.B.).

Although eqs 5 and 6 describe correctly the HER activity trends, there are some fair criticisms to Figure 1.41,42 One of them is that all DFT data were calculated on the closest-packed surface of each metal disregarding two important facts: (1) elements such as Nb, Mo, W, and Co on the strong binding side of the plot are oxides under HER conditions and deviate largely from the trends. As oxides typically bind adsorbates more weakly than metals,43 the actual deviations would be smaller if oxidized phases were considered. Besides, Pt is metallic and stable under HER conditions. (2) The model assumes the same prefactor for all metals. As all sites in Figure 2A are made of Pt, the assumption of an identical prefactor is more justifiable. As shown in Figure 2B, our calculations were made at low *H coverage for three reasons: (1) we use the PBE exchange− correlation functional, unlike Nørskov et al.,6 who used RPBE. Thus, our hydrogen adsorption energies are stronger than those reported by Nørskov et al. However, the differential adsorption energies should be similar for the two functionals, and increasing the *H coverage would weaken ΔGH to a point in which they will probably match those of Nørskov et al., whereas the ΔΔGH would remain relatively constant. (2) The prediction that ideal HER sites for the HER must have ΔGH = 0 is functional-independent.9 (3) Pt alloys known to bind hydrogen more weakly than Pt(111) have higher HER activity.3,30 These three facts altogether suggest that Pt(111) is located on the left side of the volcano plot, regardless of the actual coverage of *H and its adsorption energy. As Pt(111) binds *H slightly stronger than desired, a weakening of its adsorption strength is provided by sites with larger coordination, as Figure 2A shows clear distinctions between step edges (strong binding), (111) terraces (intermediate binding), and step bottoms (weak binding). Activity Measurements. The electrochemical setup used for the measurements is described elsewhere.44 Prior to the measurements, the setup was cleaned with a 3:1 mixture of H2SO4 and H2O2 (both Suprapur, Merck, Germany) followed by multiple-time boiling in ultrapure water (Evoqua, Germany). The bead-type working electrode Pt(331) (Icryst, Jülich, Germany), Pt(221), Pt(775) (both obtained from Prof. Juan Feliù, University of Alicante, Spain), and Pt(111) (Mateck, Jülich, Germany) single crystals were flame-annealed in an isobutane flame and cooled down in a 1000 ppm CO (4.7, Air Liquide, Germany) mixture with Ar (5.0, Air Liquide, Germany). The quality of the surface was confirmed by measuring the characteristic voltammograms of the electrode in the hanging meniscus configuration in an Ar-saturated HClO4 (Suprapur, Merck, Germany) and comparing the results to that of the literature.24 Before the activity measurements, the Pt(hkl) electrodes were characterized in the range of potentials between ca. −0.04 and −0.086 V versus RHE, commonly used in the literature, with a scanning rate of 50 mV/s in an Ar-saturated HClO4. A polycrystalline Pt microelectrode (CH Instruments, USA) with a diameter of 25 μm was cleaned by scanning (scan rate 50 mV/s) the potential between 1.52 and −0.13 V versus RHE in 0.1 M Ar-saturated HClO4. Afterward, the HER activity was measured in this electrolyte while scanning between 0.82 and −0.17 V with a scan rate of 50 mV/s.

ORCID

Federico Calle-Vallejo: 0000-0001-5147-8635 Aliaksandr S. Bandarenka: 0000-0002-5970-4315 Author Contributions

M.D.P. and F.C.-V. contributed equally to this paper. The manuscript was written through contributions from all authors. All authors have given approval to the final version of the manuscript. Notes

The authors declare no competing financial interest.

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ACKNOWLEDGMENTS We are thankful to Prof. Juan Feliù (University of Alicante, Spain) for providing us high-quality Pt(221) and Pt(775) single-crystal electrodes. Financial support from the cluster of excellence Nanosystems Initiative Munich (NIM) is acknowledged. The TUM-IGSSE project 11.01, funded through DFG, and the DFG project BA 5795/3-1 are gratefully acknowledged. F.C.-V. acknowledges the funding from the Netherlands Organization for Scientific Research (NWO), Veni project number 722.014.009. The use of supercomputing facilities at SURFsara was sponsored by the NWO Physical Sciences, with financial support from the NWO. F.C.-V. also thanks the Spanish MEC for a Ramón y Cajal research contract (RYC2015-18996).

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REFERENCES

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