Abstract
We have studied the adsorption of O2 on Cu(111) using supersonic molecular beam techniques. For incident energies ranging between 100 and 400 meV, we have determined the sticking probability as a function of angle of incidence, surface temperature, and coverage. Initial sticking probabilities range from near 0 to 0.85 with an onset near 100 meV, making Cu(111) considerably less reactive than Cu(110) and Cu(100). Normal energy scaling applies and reactivity increases appreciably over the entire range of surface temperatures from 90 to 670 K. A strictly linearly decreasing coverage dependence on sticking precludes adsorption and dissociation via an extrinsic or long-lived mobile precursor state. We cannot exclude that sticking also occurs molecularly at the lowest surface temperatures. However, all tell tales from our experiments suggest that sticking is predominantly direct and dissociative. Comparison to earlier data shows implications for the relative reactivity of Cu(111) vs. Cu/Ru(0001) overlayers.
Schematic diagram of the O2 molecular collide onto the intrinsic sites and extrinsic sites.
1. Introduction
The adsorption of O2 and formation of atomic O overlayers on metal surfaces are initial steps in many wanted and unwanted chemical processes, such as electrocatalysis, heterogeneous catalysis, and corrosion.1–5 As a cheap active metal, copper is widely applied as a catalyst in the synthesis of methanol.6,7 Consequently, the interaction of O2 with different Cu surfaces has attracted large research interest and has been examined via both theoretical and experimental studies.2 Experimental techniques that have been applied in combination with single crystal surfaces to control the surface structure are supersonic molecular beam techniques, low energy electron diffraction (LEED), scanning tunneling microscopy (STM), Auger Electron Spectroscopy (AES), X-ray photoelectron spectroscopy (XPS), electron energy loss spectroscopy (EELS) and reflection absorption infrared spectroscopy (RAIRS), among others.8–14
Supersonic molecular beam techniques are powerful tools to investigate the dynamics and kinetics of gas–solid surface reactions.15 They allow for control over the kinetic energy and the relative directions of motion of the reactants. As the reactivity is probed under single collision conditions and energies of the gas and solid reactants are separately controlled, direct vs. indirect reaction mechanisms can be identified, e.g. based on the influence of surface temperature and collision angle on the reactivity.
Nesbitt and coworkers applied such techniques in the study of O2 adsorption on Cu(110). They studied the dependence of the initial sticking probability (S0) on kinetic energy (Ekin) and surface temperature (Tsurf).16,17 The dependencies showed that the dissociative chemisorption of O2 on Cu(110) proceeds via two channels. Activated, direct dissociation via an early barrier occurs as well as trapping-mediated dissociative adsorption.17 Anisotropy in the potential that affects adsorption and dissociation was studied in great detail using space-quantization and alignment of the impinging O2 molecules by Kurahashi and coworkers.18 For Cu(100), Valden and coworkers interpreted the adsorption dynamics of O2 also as including a precursor or steering-mediated adsorption at defects.19 Kasai and co-workers suggest different roles of vibration and rotation of O2 in the dissociation process for all low Miller index Cu surfaces, but did not address whether Cu(111) also participates in precursor and direct dissociation processes in parallel.9
A recent theoretical study suggests that O2 sticks mostly dissociatively to Cu(111) under single collision conditions.20 The process occurs via a molecular state in which the O2 molecule may be trapped if the incident kinetic energy barely exceeds the entrance channel activation barrier to molecular adsorption. Using a RPBE-XT potential energy surface (PES), a minimum energy barrier for entrance channel activated molecular adsorption was found to be 97 meV for the top-bridge-top (t-b-t) orientation with the O2 internuclear axis parallel to the surface. At this site, dissociation cannot occur. However, a minor displacement of the O2 molecule parallel to the surface plane toward the bridge-fcc-bridge (b-fcc-b) site opened up barrier-free dissociation. Kinetic energy-dependent initial sticking probabilities were computed with quasi-classical trajectory (QCT) calculations for this PES. Application of a Generalized Langevin Oscillator (GLO) modeled surface temperature effects and molecule–surface energy exchange, and has taken energy dissipation to the bulk into account. These calculations suggested an exponential increase in S0 with Ekin with values increasing from ∼1 × 10−2 to 0.7 over a kinetic energy range from 100 to 200 meV. At higher energies, S0 decreases slightly. While at 350 K, sticking was found to be nearly exclusively dissociative, at 100 K sticking was found to be mostly molecular. Comparison to very limited experimental data for the energy dependence to sticking21 indicated that general trends were captured, but quantitative agreement was lacking. The experimental data, obtained previously to compare the reactivity of Cu(111) to Ru overlayers on the same surface, suggested much lower reactivity of the clean Cu(111) surface than that of the Ru-covered surface.
In a recent co-adsorption study of CO on partially oxidized Cu(111), we used background dosing of O2 instead of molecular beam techniques.12 When using background dosing, molecules impinge on the surface with a kinetic energy distribution governed by the temperature of the vacuum chamber's wall, i.e. room temperature. The angle of impact is also randomized. We interpreted the results of surface oxidation by CO titration and RAIRS detection of the CO internal stretch frequency to indicate that only surface defects act as a source of O2 dissociation under these conditions. Rather large O2 doses are required to oxidize Cu(111) to any significant extent and the internal stretch absorbance of post-dosed CO was shown to diminish nearly linearly in intensity with an increased O2 dose, but without any effect on the internal stretch frequency. In line with previous studies, we argued that the results suggest that Cu(111) oxidation from background dosed O2 initiates at step defects and creates stoichiometric Cu2O patches that grow terrace-inward. STM studies confirm this mechanism for collision energies associated with dosing O2 as a bulb gas at room temperature.11
In this paper, we study the chemisorption of O2 on Cu(111) in more detail. Contrary to our previous study, where we had no control over the incident O2 molecules that impact on the surface, we now apply supersonic molecular beam techniques. We determine the sticking probability (S) as a function of incident energy and angle of incidence, surface coverage, and surface temperature, S(Ekin,⊥, θ, and Tsurf).
2. Experimental
Experiments are performed in a double differentially pumped supersonic molecular beam system with a base pressure of approximately 1 × 10−10 mbar in the sample chamber. The details of this home built apparatus have been described before.22,23 Briefly, the apparatus contains, among others, an Auger electron spectrometer (AES, ESA100, Staib Instruments), a fixed quadrupole mass spectrometer (QMS, Pfeiffer, QMA200) for King and Wells (KW) measurements, and a second QMS (Pfeiffer, QMA125) that can be moved continuously along the molecular beam axis for time of flight measurements.
The Cu(111) single crystal (6N, Surface Preparation Laboratory, Zaandam, the Netherlands) is mounted at the bottom of a liquid nitrogen cooled cryostat on an x, y, z, θ manipulator. A K-type thermocouple is welded on the single crystal to measure the sample temperature. The Cu(111) surface is cleaned by Ar ion sputtering (5 × 10−6 mbar Ar, 10 mins, Tsurf = 400 K) and followed by annealing (in vacuum, 10 mins, and Tsurf = 800 K) This procedure is repeated for at least 3 cycles prior to every measurement of the sticking probability. The surface cleanliness was confirmed by AES. The same Cu crystal and cleaning procedures were applied in our recent study of O2 adsorption by background dosing as part of a CO/O coadsorption study with a different UHV system.12
The molecular beam is generated by expansion of a gas mixture at approximately 5 bar through a tungsten nozzle with a 28 μm diameter orifice. Gas mixtures are created using two mass flow controllers (Bronkhorst, the Netherlands) that each controls the flow of a single high purity gas. The mixture is created by both entering a long stainless steel line which feeds the nozzle and expansion. Each mixture is created and expanded continuously for at least 30 minutes to ensure the stability of the gas mixture prior to any measurements. The molecular beam is shaped by two molecular beam skimmers and a final circular orifice. It can be modulated by two flags and a variable-speed wheel chopper. The kinetic energy of the molecular beam is controlled by seeding O2 (N5.8, Airproducts) in helium (N6, Linde). The kinetic energy of the O2 in the molecular beam is determined by the time of flight (TOF) experiments with the movable QMS as described in the ESI.† The sticking probability is obtained by KW measurements.24 We find that the effective pumping speed in the UHV chamber is affected when cooling the crystal's cryostat with liquid nitrogen (LN2). It affects the shape of our KW traces for experiments performed at cryogenic crystal temperatures. In the ESI,† we describe how we handle possible influences on S0 and S(θ).
3. Results
Fig. 1a shows the kinetic energy distribution of the O2 supersonic molecular beams, which have been used to collect sticking probability data in this study. The energy distributions are calculated from time-of-flight measurements where we vary the neutral flight path length of O2 in the molecular beam. Time-dependent signals are corrected for the sensitivity of electron-ionization based detection and converted using the appropriate Jacobians to velocity and energy distributions.26 From the energy distribution, we calculate the average kinetic energy and use this to plot data as in Fig. 1b.
Fig. 1b shows the dependence of S0 for O2 sticking on Cu(111) as a function of kinetic energy at Tsurf = 300 K, but scaled for normal incidence. At this surface temperature, sticking is solely dissociative. The kinetic energy of the O2 molecular beam is varied by changing the incident angle and the seeding ratio of the molecular beam. The average kinetic energy of O2 for different seeding ratios is listed in Table S1 (ESI†). The solid markers of a single color were measured with the molecular beam's energy distribution indicated with the same color in Fig. 1a. The shape of the marker represents the incident angle as indicated in the legend. The nozzle temperature was fixed at room temperature to exclude variations of rotational or vibrational contributions to dissociation.9 We also show previously published experimental data for Cu(111) (open diamonds),21 andCu(110) and Cu(100) (open squares and triangles),17,19 and the results of the recent theoretical study (black dashed line).20 Our results show that the normal component of the incident energy contributes to the adsorption process, while the parallel component of the incident energy is completely inefficient. This behavior is typical for activated adsorption. S0 also follows the typical S-shape for activated adsorption and increases from approximately 0 to 0.85 over a kinetic energy window ranging from approximately 100 to 400 meV. This indicates a narrow activation barrier distribution.
The experimental data are fitted with the following formula:25
1 |
where Ekin is the normal incident kinetic energy, Ec is the critical energy (the transitional energy at which the sticking probability is half of the maximum) and δ is the width of the function. Note that a potential contribution of vibrational energy to the critical energy is ignored here, because the molecular beam is set at room temperature at which most O2 molecules are at the ground vibration state. A contribution to S0 by the small population of excited oxygen is negligible. The value of Ec is found to be 279 meV and δ equals 100 meV. We note that our fit is of a rather simple form and better approaches for extracting characteristic values of barrier distributions have been applied to H2/Cu(111).27
Our experimental data qualitatively reflect the results of the theoretical simulation (black dashed line in Fig. 1b). The calculated minimum entrance-channel activation barrier for O2 sticking on Cu(111) of 97 meV20 agrees nicely with the onset of dissociation as determined by the KW limit for measuring sticking (∼1 × 10−2). The previous experimental study by Minitti et al. (open diamonds in Fig. 1b) does not specify an onset for dissociation.21 Interpolation of their data to extract an onset is also difficult to justify for reason of the low number of data. Except for the value at 200 meV, S0 is significantly smaller in their results. Alternatively, one could argue that their sticking probabilities are shifted to higher Ekin. This may be caused by differences in the determination of the kinetic energy of the various seeded beams. As Minitti et al. obtain their beam energy by the use of an empirical relationship and not by experimental determination using time-of-flight, quantitative comparison is difficult. However, when we use the same relationship as used by Minitti et al. to calculate the expected kinetic energies for our various beams, we obtain very similar values compared to the TOF analysis of our beams. Our data would, thus, not shift significantly if we use their approach. In addition, their S0 curve of O2 on clean Ru(0001) is almost identical to the one published previously by Wheeler et al.28 Another potential reason for a discrepancy is that our sticking probabilities appear higher due to the smaller width of the energy distributions present in our molecular beams. Although this may be the case, we do not expect such a large effect. We use comparable expansion conditions and previously found quantitative agreement when studying dissociation of H2 on Ru(0001).29 We conclude that there seems to be a clear difference between the data from the two different experiments with an unidentified cause. We speculate that it relates to the cleanliness and history of the Cu(111) surface.
Summarizing, our results in Fig. 1b clearly reflect an activation barrier to dissociation of O2 on Cu(111) which agrees with theoretical simulations. The initial sticking probability begins to increase at around 100 meV and reaches 0.85 at 379 meV with no suggestion of a drop in reactivity for higher incident energies. In this incident energy range, the initial sticking probability scales with the normal component of the incident energy. In comparison to Cu(100) and Cu(110), the significant activation barrier on Cu(111) makes it much less reactive.
Fig. 2 illustrates the effect of the surface temperature on S0 for averaged normal incident beam energies of 379 meV, 332 meV and 216 meV, respectively. The data have been fitted with two sets of linear functions. When we take all data for a single kinetic energy into account, we find the solid lines. When we exclude the data for Tsurf = 90 K, we obtain the dashed fits. The comparison shows that in both cases, S0 clearly increases with an increase in the surface temperature. However, the slope is in all cases significantly smaller when excluding the data obtained at 90 K (2.8 vs. 1.3, 3.9 vs. 3.1, and 3.2 vs. 2.5 × 10−4K−1 for the fits applied to increasing Ekin). Hence, extrapolation of data obtained from 300 to 670 K and at 90 K consistently leads to an overestimate of S0 of approximately 0.05 at 90 K.
Fig. 3 shows the sticking probability as a function of fractional coverage, θ/θmax, at 216 meV (top panel) and 379 meV (bottom panel) of normal incidence energy for surface temperatures ranging from 90 to 670 K. The fractional coverage is obtained by integrating the uptake of O2 in KW traces. The uptake is then normalized to the maximum integral for each single measurement. As our QMS channeltron's amplification is dependent on the history of experiments performed with oxidating and reducing gases, we can, unfortunately, not compare absolute signals or integrals thereof.30 Consequently, we can also not establish whether the maximum obtainable coverage of Oads (θmax) is kinetic energy dependent, as was shown for, e.g., CH3 resulting from direct CH4 dissociation on Pt(111)31 and N2 dissociation on W(110).32 We can only establish the relationship between S and θ/θmax for each incident energy. The results in both panels of Fig. 3 are, however, clear in this respect. We find rather strictly linear dependencies across the entire surface temperature range for both incident energies. In the ESI,† we show that there is no evidence for curvature by analyzing the residuals of the signal and the linear fits.
4. Discussion
For the interpretation of our results in terms of adsorption and dissociation mechanisms, we need to distinguish between supersonic molecular studies and all other studies of the interaction of Cu(111) with background dosed O2. Recent studies of O2 dissociation as achieved by background dosing agree that dissociation on Cu(111) is dominated by defect sites. The STM study by Lawton et al.11 reports dissociative chemisorption on a large range of Cu surfaces present at a dome-shaped Cu crystal (d-Cu(111)-10° in the description by Auras and Juurlink33. Oxidation leads to the formation of stoichiometric Cu2O at room temperature with reactivity (initially) being proportional to step density. The defect type was shown to be irrelevant as both straight and kinked steps show identical results. Our own RAIRS-based study of CO post-adsorbed to partially oxidized Cu(111) also indicated that background dosing leads to initial oxidation of defect sites.12 Stoichiometric Cu2O patches initiate at (step) defects and grow similar to oxidation of other noble metal surfaces, e.g. Ag(111).34,35 The growth of the oxide patches reduces remaining clean Cu(111) surface area that binds post-dosed CO. The CO is otherwise unaffected as evidenced from the exact same internal stretch frequency.
The defect-dominated oxidation mechanism obtained by background dosing is entirely different from the previous and present results of molecular beam studies and we must, therefore, be careful in all comparisons with earlier studies of the interaction of O2 with Cu(111) and other low-Miller index surfaces. In particular, we need to be wary of conclusions drawn from studies such as those from HREELS measurements of O2 dosed onto Cu(111) that claim both atomic and molecular states at low surface temperatures.14 Molecular states appearing at larger doses (on the order of 101–103 L) do not necessarily reflect O2 binding to pristine Cu(111) and may be affected by the initial and relatively facile oxidation of naturally occurring (step) defects.
Focusing on the present data and comparing to data from earlier molecular beam studies, we find in Fig. 1b that S0 for Cu(111) is significantly lower than for Cu(100) and Cu(110) at all normal incidence energies up to approximately 400 meV. As the normal incidence energy decreases, S0 on Cu(110) decreases but stabilizes at 0.2. Previous studies associate such probability behavior with precursor-mediated adsorption36 or steering-mediated adsorption.37 For Cu(111), we find that the initial sticking probability continues to drop toward 0 with decreasing normal incident kinetic energy. At normal kinetic energies above 100 meV, dissociation is substantial and well above the residual defect density that may be expected for a cleaned and annealed Cu(111) surface, i.e. ≪1%. With the strong and positive energy-dependence of S0 reported in Fig. 1b, it is clear that molecular beam experiments primarily detect the dissociation on defect-free parts of the Cu(111) surface. Hence, while precursor-mediated adsorption and (step) defects on Cu(111) or the stepped structure of Cu(110) may dominate dissociative adsorption for O2 molecules with kinetic energies typical for room temperature bulb gasses, this seems not the case for Cu(111) at energies used here.
The temperature-dependence reported in Fig. 2 is also in contrast to long-lived and mobile precursor-mediated adsorption. According to the standard precursor-mediated adsorption model, increasing the surface temperature would lower the sticking probability as this reduces the precursor lifetime, hence favoring desorption over diffusion that would be followed by dissociation. The initial sticking probability of O2 on Cu(111), however, increases as the surface temperature increases (Fig. 2). This opposite behavior was previously explained by the so-called recoil effect. Increased motion of surface atoms effectively lowers the required kinetic energy for the impinging molecules to pass the transition state, as discussed by Hand and Harris for H2 direct dissociative adsorption on Cu.38 The argument was also invoked to explain the dissociative chemisorption of O2 on Cu(100).39 The combination of increasing S0 with both surface temperature and normal kinetic energy over the entire probed range only supports direct activated dissociative adsorption on pristine Cu(111) sites.
Our interpretation of results presented in Fig. 1 and 2 call into question earlier suggestions of a relevance of a molecular state, as reported in experimental work14 and the recent theoretical DFT-based and dynamics study.20 Tsuyoshi et al. reported a molecularly adsorbed oxygen state on Cu(111) with electron energy loss spectroscopy when the surface temperature was below 230 K.14 Only after annealing up to 230 K, the molecularly adsorbed oxygen was argued to dissociate forming atomic oxygen. The recent DFT-based study also finds a clear molecular state that binds O2 with more than 100 meV. The binding energy varies slightly within the surface plane. On the bridge site with the internuclear axis pointing toward the top of neighboring Cu atoms (t-b-t), binding is slightly less strong compared to a laterally shifted position over a threefold hollow site (b-fcc-b). When considering the dynamics, one would expect that if a precursor state contributes to trapping and subsequent dissociation, its contribution may be substantial at low incident energies and surface temperatures, as also suggested by the dynamical calculations on the PES.20 The contribution would fade with increasing energy and temperature as direct dissociation starts dominating. Although it seems reasonable that a precursor-mediated contribution adds to (or perhaps dominates over) direct dissociation under low energy conditions, the extrapolation of our surface temperature dependent data in Fig. 2 contrasts it. The reactivity at 90 K is consistently lower than that expected from the extrapolation to 90 K from higher surface temperatures where dissociation must occur. The difference of roughly 0.05 is significantly larger than our expected error in these KW measurements. Had there been additive molecular and dissociative processes available, one would have expected S0 at 90 K to be higher than the extrapolations – not measurably lower.
We may also consider the coverage dependence of sticking and dissociation. Fig. 3 shows that it is linear for all temperatures up until S(θ) reaches zero at θmax. This behavior contradicts dissociative chemisorption via an extrinsic precursor, in which the O2 adsorbs first on (O-covered) Cu(111) and by diffusion finds an empty site for dissociation. If precursor mediated adsorption occurs on the (oxidized) surface, the sticking probability would be nearly constant up to an intermediate coverage and then drop quickly at higher coverages.
For more consideration of a potential contribution of an intrinsic precursor, we realize that a linear dependence of the sticking probability on coverage only agrees with a functional form
S(θ) = S0 × (1 − θ/θmax)N | 2 |
for N = 1.32 A value of N = 2, as could be argued on the basis of Langmuir-type O2 dissociation and requiring two adsorption sites for the final state of two Oads atoms, would yield clear curvature at both the start and end of the sticking probability curve. The lack thereof suggests that dissociation proceeds via a single type of site. This could be the molecular state found in the PES indicated as the b-fcc-b site that leads to non-activated dissociation from a weakly bound molecular state. However, as argued earlier, the observed temperature dependence of S0 is contradictory to a long-lived precursor. Also, the surface temperature dependence fitted to higher surface temperatures and extrapolated to 90 K yields an overestimate of the actual sticking probability. Hence, we conclude that if dissociation indeed takes place via a molecular state on Cu(111), that this is only a transient (and likely not equilibrated) state over the kinetic energy range probed here. Such a dynamic precursor state that includes minor diffusion with the unit cell has been suggested for H2 dissociation on step sites of Pt(111),22,40 and for which absolute reaction cross-sections have been determined.41 For O2 dissociative adsorption on Cu(110), charge transfer causing creation of a short-lived intermediate O2δ− state on the way to dissociation at higher impact energies was suggested from a combined theoretical and experimental study that involved state-selection and alignment of impacting O2.18 For the current system, we believe that a similar intermediate species may be involved, although the main bottle neck to dissociation on defect-free Cu(111) seems to be the barrier in the entrance channel. According to the PES, this barrier varies at least between approximately 100 and 200 meV for impact with the internuclear axis parallel to the surface. Once this barrier is overcome, dissociation is facile and – depending on the exact impact site – may involve some steered motion parallel to the surface. The geometric corrugation for the molecular state seems very large from the reported cuts of the PES.20 Molecular scattering experiments at higher incident energies, spin and alignment control of the impacting and scattering O2,18,42 or angle- and energy-resolved scattering/desorption measurements43 may provide evidence.
Finally, we reiterate that in an absolute sense, we find mostly higher reactivities for O2 impinging onto Cu(111) than the only earlier published results.21 Whereas at 200 meV incident energy the data match rather well, at higher incident energies our values of S0 are considerably closer to what Minitti et al. report for Cu overlayers on Ru(0001). This calls into question the size of the enhanced reactivity claimed for these overlayers of Cu/Ru(0001) in comparison to Cu(111). This also impacts the reported changes in reactivity for Cu overlayers on Ru in comparison to pure Cu. While enhanced reactivity of the overlayers of Cu/Ru(0001) as compared to clean Cu(111) is still significant near 200 meV, it has vanished around 400 meV.
5. Conclusion
We have studied the sticking probability of O2 on Cu(111) as a function of coverage, surface temperature, and normal incidence transition energy, and compared the results to previous experimental and theoretical results. The dissociative chemisorption of O2 on Cu(111) bears all characteristics of a direct, activated process with a minimum barrier of approximately 100 meV. While at higher surface temperatures, sticking is surely dissociative, at the lowest surface temperature probed here (90 K), we believe dissociation also dominates, although we cannot exclude a contribution of molecular sticking in a precursor state. The temperature dependence to initial sticking may reflect a recoil effect that lowers the entrance channel activation barriers. It may also affect the efficiency with which motion parallel to the surface is induced and which is suggested to be required for following the minimum energy path to dissociation. Finally, we note that molecular states as found in earlier experiments that used background gas dosing of O2 likely need to be readdressed for reason of the now understood mechanism by which thermal O2 oxidizes the Cu(111) via defect sites.
Author contributions
DZ performed nearly all experiments with the help of CJ. DZ prepared the manuscript. AK and LJ guided in the experiments and interpretation and took part in finalizing the manuscript.
Conflicts of interest
There are no conflicts to declare.
Supplementary Material
Acknowledgments
We thank the China Scholarship Council for financial support to DZ (grant number 201804890014) and the Dutch Research Council (NWO) for financial support to CJ with the Materials for Sustainability grant (number 739.017.008).
Electronic supplementary information (ESI) available. See DOI: https://doi.org/10.1039/d3cp01215h
References
- Viswanathan V. Hansen H. A. Rossmeisl J. Nørskov J. K. ACS Catal. 2012;2:1654–1660. doi: 10.1021/cs300227s. [DOI] [Google Scholar]
- Gattinoni C. Michaelides A. Surf. Sci. Rep. 2015;70:424–447. doi: 10.1016/j.surfrep.2015.07.001. [DOI] [Google Scholar]
- Montemore M. M. van Spronsen M. A. Madix R. J. Friend C. M. Chem. Rev. 2017;118:2816–2862. doi: 10.1021/acs.chemrev.7b00217. [DOI] [PubMed] [Google Scholar]
- Xing H. Hu P. Li S. Zuo Y. Han J. Hua X. Wang K. Yang F. Feng P. Chang T. J. Mater. Sci. Technol. 2021;62:180–194. doi: 10.1016/j.jmst.2020.04.063. [DOI] [Google Scholar]
- Over H. Kim Y. D. Seitsonen A. Wendt S. Lundgren E. Schmid M. Varga P. Morgante A. Ertl G. Science. 2000;287:1474–1476. doi: 10.1126/science.287.5457.1474. [DOI] [PubMed] [Google Scholar]
- Nitta Y. Suwata O. Ikeda Y. Okamoto Y. Imanaka T. Catal. Lett. 1994;26:345–354. doi: 10.1007/BF00810608. [DOI] [Google Scholar]
- Ali K. A. Abdullah A. Z. Mohamed A. R. Renewable Sustainable Energy Rev. 2015;44:508–518. doi: 10.1016/j.rser.2015.01.010. [DOI] [Google Scholar]
- Duan X. Warschkow O. Soon A. Delley B. Stampfl C. Phys. Rev. B: Condens. Matter Mater. Phys. 2010;81:075430. doi: 10.1103/PhysRevB.81.075430. [DOI] [Google Scholar]
- Moritani K. Tsuda M. Teraoka Y. Okada M. Yoshigoe A. Fukuyama T. Kasai T. Kasai H. J. Phys. Chem. C. 2007;111:9961–9967. doi: 10.1021/jp0718496. [DOI] [Google Scholar]
- Poulston S. Parlett P. Stone P. Bowker M. Surf. Interface Anal. 1996;24:811–820. doi: 10.1002/(SICI)1096-9918(199611)24:12<811::AID-SIA191>3.0.CO;2-Z. [DOI] [Google Scholar]
- Lawton T. Pushkarev V. Broitman E. Reinicker A. Sykes E. Gellman A. J. Phys. Chem. C. 2012;116:16054–16062. doi: 10.1021/jp303488t. [DOI] [Google Scholar]
- Zhang D. Jansen C. Berg O. T. Bakker J. M. Meyer J. Kleyn A. W. Juurlink L. B. J. Phys. Chem. C. 2022;126:13114–13121. doi: 10.1021/acs.jpcc.2c02541. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Dubois L. Surf. Sci. 1982;119:399–410. doi: 10.1016/0039-6028(82)90306-5. [DOI] [Google Scholar]
- Sueyoshi T. Sasaki T. Iwasawa Y. Surf. Sci. 1996;365:310–318. doi: 10.1016/0039-6028(96)00738-8. [DOI] [Google Scholar]
- Kleyn A. Chem. Soc. Rev. 2003;32:87–95. doi: 10.1039/B105760J. [DOI] [PubMed] [Google Scholar]
- Nesbitt A. Lewin A. Hodgson A. J. Phys.: Condens. Matter. 1991;3:S71. doi: 10.1088/0953-8984/3/S/011. [DOI] [Google Scholar]
- Hodgson A. Lewin A. Nesbitt A. Surf. Sci. 1993;293:211–226. doi: 10.1016/0039-6028(93)90315-B. [DOI] [Google Scholar]
- Tsuda Y. Gueriba J. S. Ueta H. Diño W. A. Kurahashi M. Okada M. JACS Au. 2022;2:1839–1847. doi: 10.1021/jacsau.2c00156. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Junell P. Ahonen M. Hirsimäki M. Valden M. Surf. Rev. Lett. 2004;11:457–461. doi: 10.1142/S0218625X0400627X. [DOI] [Google Scholar]
- Ramos M. Daz C. Martinez A. E. Busnengo H. F. Martn F. Phys. Chem. Chem. Phys. 2017;19:10217–10221. doi: 10.1039/C7CP00753A. [DOI] [PubMed] [Google Scholar]
- Minniti M. Faras D. Perna P. Miranda R. J. Chem. Phys. 2012;137:074706. doi: 10.1063/1.4746942. [DOI] [PubMed] [Google Scholar]
- Van Lent R. Auras S. V. Cao K. Walsh A. J. Gleeson M. A. Juurlink L. B. Science. 2019;363:155–157. doi: 10.1126/science.aau6716. [DOI] [PubMed] [Google Scholar]
- Jacobse L. den Dunnen A. Juurlink L. B. J. Chem. Phys. 2015;143:014703. doi: 10.1063/1.4923006. [DOI] [PubMed] [Google Scholar]
- King D. A. Wells M. G. Surf. Sci. 1972;29:454–482. doi: 10.1016/0039-6028(72)90232-4. [DOI] [Google Scholar]
- Harris J. Surf. Sci. 1989;221:335–345. doi: 10.1016/0039-6028(89)90584-0. [DOI] [Google Scholar]
- Auerbach D. J., Atomic and Molecular Beam Methods, ed. G. Scoles, Oxford University Press, 1988, vol. 1, p. 362 [Google Scholar]
- Daz C. Pijper E. Olsen R. Busnengo H. F. Auerbach D. Kroes G. Science. 2009;326:832–834. doi: 10.1126/science.1178722. [DOI] [PubMed] [Google Scholar]
- Wheeler M. Seets D. Mullins C. J. Chem. Phys. 1996;105:1572–1583. doi: 10.1063/1.472018. [DOI] [Google Scholar]
- Groot I. Ueta H. Van der Niet M. Kleyn A. Juurlink L. J. Chem. Phys. 2007;127:244701. doi: 10.1063/1.2813413. [DOI] [PubMed] [Google Scholar]
- den Dunnen A. Jacobse L. Wiegman S. Berg O. T. Juurlink L. B. J. Chem. Phys. 2016;144:244706. doi: 10.1063/1.4953541. [DOI] [PubMed] [Google Scholar]
- Ueta H. Chen L. Beck R. D. Colón-Daz I. Jackson B. Phys. Chem. Chem. Phys. 2013;15:20526–20535. doi: 10.1039/C3CP52244J. [DOI] [PubMed] [Google Scholar]
- Pfnür H. Rettner C. Lee J. Madix R. Auerbach D. J. Chem. Phys. 1986;85:7452–7466. doi: 10.1063/1.451334. [DOI] [Google Scholar]
- Auras S. V. Juurlink L. B. Prog. Surf. Sci. 2021;96:100627. doi: 10.1016/j.progsurf.2021.100627. [DOI] [Google Scholar]
- Turano M. E. Juurlink L. B. Gillum M. Z. Jamka E. A. Hildebrandt G. Lewis F. Killelea D. R. J. Vac. Sci. Technol., A. 2021;39:053201. doi: 10.1116/6.0001167. [DOI] [Google Scholar]
- Turano M. E. Juurlink L. B. Gillum M. Z. Jamka E. A. Killelea D. R. J. Phys. Chem. C. 2021;125:14702–14708. doi: 10.1021/acs.jpcc.1c04368. [DOI] [Google Scholar]
- Eichler A. Mittendorfer F. Hafner J. Phys. Rev. B: Condens. Matter Mater. Phys. 2000;62:4744. doi: 10.1103/PhysRevB.62.4744. [DOI] [Google Scholar]
- Kay M. Darling G. Holloway S. White J. Bird D. Chem. Phys. Lett. 1995;245:311–318. doi: 10.1016/0009-2614(95)00975-A. [DOI] [Google Scholar]
- Hand M. Harris J. J. Chem. Phys. 1990;92:7610–7617. doi: 10.1063/1.458198. [DOI] [Google Scholar]
- Hall J. Saksager O. Chorkendorff I. Chem. Phys. Lett. 1993;216:413–417. doi: 10.1016/0009-2614(93)90119-L. [DOI] [Google Scholar]
- McCormack D. A. Olsen R. A. Baerends E. J. J. Chem. Phys. 2005;122:194708. doi: 10.1063/1.1900087. [DOI] [PubMed] [Google Scholar]
- Jansen C. Juurlink L. Chem. Phys. Lett. 2021;776:138679. doi: 10.1016/j.cplett.2021.138679. [DOI] [Google Scholar]
- Kurahashi M. Prog. Surf. Sci. 2016;91:29–55. doi: 10.1016/j.progsurf.2016.03.001. [DOI] [Google Scholar]
- Harding D. J. Neugebohren J. Hahn H. Auerbach D. J. Kitsopoulos T. Wodtke A. M. J. Chem. Phys. 2017;147:013939. doi: 10.1063/1.4983307. [DOI] [PMC free article] [PubMed] [Google Scholar]
Associated Data
This section collects any data citations, data availability statements, or supplementary materials included in this article.