Single-atom Pt in intermetallics as an ultrastable and selective catalyst for propane dehydrogenation

Propylene production via propane dehydrogenation (PDH) requires high reaction temperatures to obtain sufficient propylene yields, which results to prominent catalyst deactivation due to coke formation. Developing highly stable catalysts for PDH without deactivation even at high temperatures is of great interest and benefit for industry. Here, we report that single-atom Pt included in thermally stable intermetallic PtGa works as an ultrastable and selective catalyst for PDH at high temperatures. Intermetallic PtGa displays three-hold-Pt ensembles and single Pt atoms isolated by catalytically inert Ga at the surface, the former of which can be selectively blocked and disabled by Pb deposition. The PtGa-Pb/SiO2 catalyst exhibits 30% conversion with 99.6% propylene selectivity at 600 °C for 96 h without lowering the performance. The single-atom Pt well catalyzes the first and second C–H activation, while effectively inhibits the third one, which minimizes the side reactions to coke and drastically improves the selectivity and stability. Propylene production via propane dehydrogenation demands a highly stable catalyst that works without deactivation even at high temperatures. Here, the authors show that single-atom Pt included in thermally stable intermetallic PtGa works as an active and selective catalyst for propane dehydrogenation even at 600 °C for 96 h without deactivation.

P ropylene is one of the most important building blocks for the production of a wide range of chemicals, such as polymers, resins, surfactants, dyes, and pharmaceuticals 1 . The supply of propylene has been reduced because of the recent shift in feedstock for steam crackers from oil-based naphtha to shale-based ethane. Catalytic propane dehydrogenation (PDH) using Pt-or Cr 2 O 3 -based materials is a promising on-purpose technique to satisfy the increasing global demand of propylene production [1][2][3] . Owing to the endothermicity, high reaction temperatures (preferably ≥600°C) are required to obtain sufficient propylene yields. However, severe catalyst deactivation due to coke deposition and/or sintering is inevitable under such harsh conditions; therefore, the catalysts in practical use must be regenerated continuously or in short cycles. Although a number of literatures on catalytic PDH have been reported to this day, no catalyst that exhibits high catalytic activity, selectivity, and daylong stability at high temperatures (≥600°C) has been developed to the best of our knowledge [1][2][3][4][5] . Developing a catalyst to meet this demanding task is of a great challenge in pure and applied chemistry.
Generally, selectivity and stability in PDH are determined by the balance between whether the product propylene desorbs or undergoes undesired side reactions, such as further C-H(C) scissions and the subsequent coke formation [6][7][8][9][10] . For Pt-based catalysts, Pt-Pt ensembles are known to be active for overdehydrogenation of propylene and its hydrogenolysis 1 . The isolation of Pt atoms is a promising strategy to inhibit these undesired side reactions in PDH 11 . For instance, alloying of active main metal (mostly Pt) with a certain inactive metal (mostly typical elements such as Sn) has been a conventional approach to dilute Pt-Pt ensembles and enhance propylene selectivity and stability 1 . However, it is difficult to completely isolate Pt atoms by the conventional alloying approach. Single-atom [12][13][14][15] and singleatom alloy 11,16 catalysts are also effective tools to use isolated Pt, where active metals are atomically dispersed on an oxide support and isolated by excess amount of 11 group metal like Cu, respectively. However, it is difficult to apply them to hightemperature reactions such as PDH due to its insufficient thermal stability: Pt atoms 17 or alloy nanoparticles 11,16 without spatial separation 13 are easily aggregated to form larger nanoparticles at very high temperatures.
A possible candidate to solve this challenge is single-atom-like isolated Pt included in thermally stable intermetallic compounds. For instance, the 1:1 compound of Pt and Ga with cubic P2 1 3 space group has thermal stability (ΔH f = -55.6 kJ/mol −1 ) much greater than typical random alloys (-10 < ΔH f ≤ 0 kJ mol −1 ) and a unique structure for this purpose as shown in Fig. 1 (refs. 18,19 ). The stable (111) surface of PtGa has four different terminations displaying isolated and threefold Pt and Ga sites (hereafter signed Pt 1 , Ga 1 , Pt 3 , and Ga 3 ). Here, the Ga 3 moiety can be regarded as a matrix to support the isolated Pt 1 atom; therefore, it may be possible to describe the Pt 1 site as "single-atom Pt". Note that there are two enantiomeric forms of PtGa unit cell (PtGa:A and PtGa:B, the former is shown in Fig. 1), because the space group P2 1 3 is chiral. In an analogous system of PdGa (space group P2 1 3), such surface termination (Pd 3 and Pd 1 , which were described as trimer and single atom, respectively) has actually been observed by surface science techniques 20,21 . For the PdGa system, Pd 3 is known to catalyze semihydrogenation of acetylene more selectively than Pd 1 (ref. 20 ). For PtGa in PDH, however, the Pt 3 site is expected to be more active for further C-H(C) scissions. Therefore, some modification that makes only Pt 3 sites disabled while Pt 1 sites available for the reaction is needed for achieving highly selective and stable PDH.
In this study, we design Pb-modified PtGa where the threefold Pt is selectively blocked by Pb deposition while the single-atom Pt remains intact (Fig. 1c). As demonstrated later, the convex Pt 1 site is unfavorable geometrically and energetically for Pb deposition. We prepare SiO 2 -supported PtGa and PtGa-Pb (Pt/Pb = 2) catalysts by an impregnation method (reduced by H 2 at 700°C) and test in PDH at high temperatures (600 or 650°C; note that it is lower than the preparation temperature). Here, we show a different type of single-atom Pt and its outstandingly high catalytic performance in PDH at high temperature.

Results
Characterization of catalysts. Figure 2a shows the highresolution high-angle annular dark field scanning transmission  electron microscopy (HAADF-STEM) image of PtGa-Pb/SiO 2 with a single nanoparticle. A crystal structure with interplanar distances of 2.07 and 2.25 Å and dihedral angle of 56°was observed, which agreed with those of (211) and (20 1) planes of intermetallic PtGa viewed along with [1 42] direction 22 (Fig. 2b). The particle size distribution was narrow (mostly 1.5-3 nm, Supplementary Fig. 1) with an average of 2.8 ± 0.6 nm. The elemental map acquired by energy-dispersive X-ray (EDX) analysis showed that Pt and Ga were homogeneously distributed in each nanoparticle with approximately 1:1 ratio (Fig. 2c). Similar results of the HAADF-STEM-EDX analyses were also obtained for PtGa/SiO 2 ( Supplementary Fig. 2, Supplementary Note 1). On the contrary, the Pb distribution in PtGa-Pb/SiO 2 was focused on the shell part of nanoparticles (areas 1 and 2 in Fig. 2c). Considering that the Pb content in the whole nanoparticle (area 1) is lower than those fed in the catalyst (Pt/Pb = 2), a part of Pb may present on SiO 2 support. X-ray photoelectron spectroscopy (XPS) analysis with Ar + sputtering revealed that the Pt4f 7/2 -binding energy of PtGa-Pb was lower than that of PtGa (due to ligand effect of Pb) 23 , but came close immediately after several sputtering (Fig. 2d, see Supplementary Fig. 3 for the spectra). This result strongly supports that Pb is located at the surface region of PtGa nanoparticles. We also performed X-ray adsorption fine structure (XAFS) analysis (see Supplementary Table 1 for XAFS analysis: Pt L III -edge X-ray adsorption near edge spectra, extended XAFS (EXAFS) raw oscillations, EXAFS curve fits, magnitude of Fourier transform of EXAFS, and details of the curve fit). Pt-Ga scattering with 2.50 ± 0.01 Å was observed for PtGa-Pb, which is consistent finely with the interatomic distance of the nearest Pt and Ga in PtGa (2.499 Å) 22 . This result suggests that Pb atoms are not substituted into the bulk of PtGa to increase the lattice constant. Pt-Pb scattering was also observed with a small coordination number of 1.0, which indicates that the surface Pt sites are partly blocked by Pb deposition. CO pulse chemisorption experiment supported the partial coverage of surface Pt, where Pt dispersion decreased from 9.9% to 5.9% upon the Pb modification to PtGa/SiO 2 (Supplementary Table 2).
To obtain further information about the surface of PtGa-Pb/SiO 2 , we then performed Fourier-transform infrared (FT-IR) spectroscopy with CO adsorption at −196°C (Fig. 3). For PtGa/SiO 2 , two peaks appeared at 2078 and 1885 cm −1 at the initial stage, which are assigned to stretching vibration of CO adsorbed on Pt with on-top and threefold modes, respectively 21 . Upon the increase in CO pressure (P CO ), the threefold CO disappeared and the intensity of the on-top CO increased with an appearance of a small shoulder feature at around 2050 cm −1 . This change could be attributed to the migration of threefold CO to on-top CO on the Pt 3 site due to the increase of CO coverage. The new shoulder at around 2050 cm −1 might be assigned to on-top CO adsorbed on Pt 1 site 21 . On the contrary, for PtGa-Pb/SiO 2 , only a single symmetric adsorption band appeared at 2040 cm −1 with lower intensity even at saturation coverage, which implies that the Pt 3 sites are blocked by Pb while the remaining Pt 1 sites are open for CO adsorption. We then simulated the theoretical ν C=O for the suggested conformations by density functional theory (DFT) calculations (see Supplementary Fig. 8 for the detailed structures and ν C=O values). The calculated ν C=O values were consistent finely (on-top CO) or roughly (threefold CO) with the corresponding experimental values (Fig. 3, vertical lines), which strongly supports the assignment mentioned above. The observed trend agreed also with a relevant system of CO adsorption on PdGa:B(111) monitored by surface science techniques 21 . Only a slight red-shift in ν C=O (2043 to 2037 cm −1 ) was suggested when Pb was added near the Pt 1 site, likely because of electron-enriched Pt by the ligand effect of Pb as observed in Fig. 2d. Thus, we successfully prepared an ideal catalyst for PDH with single-atom-like isolated Pt without any Pt-Pt ensembles.
Catalytic performance in PDH. Next, we tested the catalytic performances of the prepared catalysts in PDH at 600°C (Fig. 4), in which the equilibrium propylene yield in this reaction condition was approximately 60% (Supplementary Fig. 9). Although PtGa exhibited high conversion and selectivity at the initial stage (40% conv., 99.1% sel. at 0.5 h), conversion gradually decreased below half of its initial value within 50 h. Conversely, PtGa-Pb retained high conversion and excellent selectivity (>30% conv., >99.6% sel.) for 50 h even under the harsh condition. It should be  ARTICLE noted that almost no deactivation was observed even at 96 h ( Supplementary Fig. 10). Thus, the Pb modification to PtGa significantly improved the stability and selectivity. We achieved the long-term, continuous, and highly selective propylene production in PDH at high temperatures without deactivation (>580°C : see Supplementary Tables 3 and 4 and Supplementary Fig. 11 for comparison with literatures; deactivation rate constant was defined in Supplementary Note 4). We also tested Pt 3 Sn catalyst, the well-known catalyst selective for PDH 1,7 , which gave lower conversion, selectivity, and stability (higher deactivation rate, Supplementary Table 5) than PtGa, highlighting the outstandingly high catalytic performance of PtGa-Pb. The spent catalysts were then analyzed by temperature-programed oxidation (TPO) and the HAADF-STEM-EDX analysis. PtGa and Pt 3 Sn showed coke combustion peaks in their TPO profiles, while PtGa-Pb gave no peak ( Supplementary Fig. 12). This is consistent with the stability trend in Fig. 4 and suggests that the coke formation process is strictly inhibited. The HAADF-STEM-EDX analysis revealed that, despite the long-term operation (50 h) in the harsh condition, PtGa-Pb retained its small particles sizes (flesh: 2.8 ± 0.6 nm, spent: 3.0 ± 0.6 nm), intermetallic structure, and elemental distribution ( Supplementary Fig. 13, Supplementary Note 5), demonstrating the high thermal stability and resistance to sintering. The stability test was also conducted at 650°C, where PtGa-Pb retained high conversion (37-38%) for several hours and then gradually decreased to approximately 20% over 50 h (Supplementary Note 6, Supplementary Fig. 14). The gradual deactivation can be attributed to the contribution of thermal (noncatalytic) cracking 24 . This was confirmed by a control experiment using SiO 2 , in which small amount of C 1 and C 2 were formed at 650°C, while that was negligible at 600°C ( Supplementary Fig. 15). Other bimetallic combinations that have been reported to be effective for PDH (PtSn (ref. 25 ) and Pt 3 In (ref. 8 ); see Supplementary Note 7 and Supplementary Fig. 16 for details and their X-ray diffraction (XRD) patterns, respectively) were also tested at 600°C. However, they all showed deactivation trends similar to that of Pt 3 Sn (Supplementary Fig. 17, Supplementary Table 5). Considering that Pt-Ga (Pt/Ga = 3) gave higher deactivation rate and lower selectivity than PtGa, using 1:1 PtGa phase is a significant factor to develop a highly efficient catalytic system for PDH ( Supplementary Fig. 17, Supplementary Table 5). When the modifier for PtGa was changed from Pb to other metals such as In or Sn, no positive effects on activity and selectivity were obtained ( Supplementary Fig. 14). We also tested the recyclability of PtGa-Pb catalyst (Supplementary Note 8, Supplementary Fig. 18). The spent PtGa-Pb catalyst could be regenerated by O 2 treatment to recover the original catalytic performance after some induction period, whereas some other bimetallic or trimetallic Sn-containing catalysts (Pt 3 Sn, PtSn, and PtGa-Sn) did not (Supplementary Fig. 19). Therefore, the combination of intermetallic PtGa and the Pb modification is suitable for stabilizing single-atom-like isolated Pt at high temperature. This is probably because (1) PtGa itself is thermodynamically stable (ΔH f = -55.6 kJ mol −1 ) 18,19 and (2) the atomic radius 26 of Pb (1.80 Å) is much larger than those of Pt (1.35 Å) and Ga (1.30 Å): the diffusion of Pb into the bulk of PtGa is likely to be unfavorable even at 600°C. Although several researchers have pointed that Ga works as a good promotor for Pt-based PDH as well as other typical element such as Sn or In (refs. [27][28][29][30][31][32][33], our results indicate that the geometry and appropriate design of an active site is more significant rather than the individual chemical property of the additive element, that is, Pt should be strictly isolated. We also surveyed various Pt/Pb ratios and metal oxides as catalyst supports, which confirmed that PtGa-Pb/SiO 2 (Pt/Pb = 2) was the best (Supplementary Notes 9 and 10, Supplementary Figs. 20 and 21). Ga itself has also been known to be active for PDH 34 . However, a control experiment using Ga/SiO 2 at 650°C ( Supplementary Fig. 22) showed very low conversion (<3%), indicating the negligible contribution of Ga itself to the catalysis of much more active Pt-based materials.
DFT calculations. Finally, we conducted DFT calculations for the step-wise C-H scissions of propane to clarify the detailed property of isolated Pt for selective PDH.  Table 6 for the detailed structures, energy diagram, and summarized activation energies, respectively). The adsorbed propylene (C 3 H 6 (a)) formed via the first and second C-H scissions undergoes desorption to gas phase (C 3 H 6 (g)) or further (third) C-H scission to trigger undesired side reactions [6][7][8][9][10] . Here, propylene selectivity depends on the difference in the two energy barriers (ΔE = E 3 − E d , shaded part in Fig. 5): the larger ΔE is, the higher the selectivity is. PtGa-Pt 3 gave ΔE of 35.9 kJ mol −1 , which was slightly larger than that of Pt 3 Sn(111) (24.1 kJ mol −1 ). Interestingly, PtGa-Pt 1 having the isolated Pt showed much larger ΔE of 64.9 kJ mol −1 . This is due to the remarkably high E 3 (173.2 kJ mol −1 ) even though E 1 (typically the rate-determining step of PDH) and E d did not differ significantly from those of PtGa-Pt 3 and Pt 3 Sn-Pt 3 sites. The specifically high E 3 could be attributed to the molecular rotation from lying 1,2-π-C 3 H 6 to vertically standing 2-σ-C 3 H 5 conformations occurring at the convex Pt 1 site ( Supplementary  Fig. 25c). Because of the molecular rotation and long Pt-Pt distance between the Pt 1 site and the nearest neighboring Pt 3 site (3.06 Å), the hydrogen atom involved in the third C-H scission has to migrate a long distance toward the final state. The energy required for such an unfavorable path becomes significantly high. We also estimated the theoretical propylene selectivity based on  the Arrhenius equation with ΔE (see Supplementary Note 11 for details), which are listed in Table 1 with the corresponding experimental values. The calculated values and their order were consistent with the experimental results, which demonstrates the validity of our calculation model. Thus, our calculation successfully reproduced the experimental trends in selectivity. The high propylene selectivity of Pt 1 sites minimizes the accumulation of coke, which leads to the outstandingly high catalyst stability. Finally, we investigated the affinity of Pb deposition to several Pt and Ga sites. Pb atoms adsorbed stably on the Pt 3 , Ga 3 , and concave Pt 1 (in PtGa-Pt 3 termination) sites with large adsorption energies (−462 to −337 kJ mol −1 , Supplementary Fig. 27), while could not on the convex Pt 1 site: the Pb atom placed on the top of the Pt 1 site migrated downward during structure optimization. This result indicates that the convex Pt 1 site is unfavorable for Pb deposition geometrically and energetically.

Discussion
In summary, we designed and prepared the PtGa-Pb/SiO 2 catalyst for highly selective PDH, in which threefold hollow Pt 3 ensembles were successfully blocked by Pb deposition, while the single-atom-like isolated Pt 1 sites remained. The isolated Pt 1 is highly selective (99.6%) for propylene production and the catalyst is outstandingly stable for long-term operation at high temperature (96 h, 600°C). The catalytic performance in PDH is much superior to those of the reported systems. The combination of (1) the specific crystal structure of intermetallic PtGa providing isolated Pt, (2) its thermal stability, and (3) the large atomic size of Pb enables the remarkably high selectivity and stability even in harsh conditions. The results obtained in this study provide not only a highly efficient catalytic system for alkane dehydrogenation but also significant insights for material design to isolate and stabilize active metals. , and TiO 2 (P-25, anatase). MgAl 2 O 4 support was prepared by a co-precipitation method using urea as a precipitating agent. The precursors and urea were precisely weighted and dissolved together in deionized water so that urea/precursors atomic ratio was 20. Catalyst preparation.

Methods
(1) Pt-based bimetallic catalysts were prepared by the porefilling co-impregnation method using SiO 2 as the support (Pt 3 M/SiO 2 , and PtM/ SiO 2 , where M = Ga, In, Sn, and Pb; Pt: 3 wt%). Ga(NO 3 ) 3 ·nH 2 O (n = 7-9), SnCl 2 , Pb(NO 3 ) 2 were used as second metal precursors. The ratio of precursors was fixed at the desired ratio. Mixed aqueous solution of Pt(NH 3 ) 2 (NO 2 ) 2 and second metal was added dropwise to ground dried SiO 2 so that the solutions just filled the pores of the SiO 2 . The mixture was kept in a sealed round-bottom flask overnight at room temperature, followed by quick freezing with liquid nitrogen, freeze-drying in vacuum at −5°C. The resulting powder was further dried in an oven at 90°C overnight, calcined in dry air at 400°C for 1 h, and finally reduced by H 2 (0.1 MPa, 50 mL min −1 ) at 700°C for 1 h. The catalysts except Pt/SiO 2 were further annealed at 400°C for 2 h under flowing H 2 (0.1 MPa, 50 mL min −1 ) to enhance alloying without further sintering. Ga/SiO 2 catalyst with 5wt% loading was prepared using a similar method (reduction was carried out at 900°C for 1 h). (2) The corresponding silica-supported trimetallic catalysts were also prepared using a similar method for PtGa/ The oxide support was added to a vigorously stirred aqueous solution of the metal precursors and kept with stirring at 90°C for 3 h. The mixture was dried using a rotary evaporator at 50°C and further dried overnight in an oven at 90°C. The resulting powder was treated in a similar manner for the SiO 2 -supported alloy catalysts as mentioned above.
Catalytic reaction. PDH was carried out in a vertical, quartz fixed-bed reactor with 6 mm of internal diameter under an atmospheric pressure. Generally, 15 mg of catalysts diluted with quartz sand (total: 1.5 g) were charged in the reactor. For the experiments in Fig. 4, the catalyst amount was adjusted so that the number of exposed Pt was identical (4.5 μmol): PtGa (9.0 mg), PtGa-Pb (15 mg Material balance % ð Þ ¼ Characterization. XRD patterns of the Pt-based catalysts were obtained using a MiniFlex 700+D/teX Ultra (X-ray source: Cu Kα radiation). HAADF-STEM analysis was performed by an FEI Titan G2 or a JEOL JEM-ARM200 M microscope with an EDX detector. The volume averaged particle size in a TEM image (d TEM ) was obtained by the following equation: where n i and d i indicate the number of particles (having the size of d i ) and the particle diameter, respectively. Pt dispersion in the catalysts (percentage of exposed Pt to the total amount of Pt) was measured by chemisorption of CO at room temperature. Prior to chemisorption, the catalyst (50 mg) was treated by 5% H 2 /Ar (40 mL min −1 ) at 300°C for 0.5 h, followed by cooling to room temperature with an He purge (40 mL min −1 ) to remove chemisorbed hydrogen. We introduced a pulse of 10% CO/He into the reactor and quantified the CO passed through the catalyst bed using a TCD detector. This pulse measurement was repeated until no more CO was adsorbed. We estimated the amount of chemisorbed CO assuming a 1:1 stoichiometry for CO chemisorption on a surface Pt atom.
XPS study was conducted using a JEOL JPS-9010MC spectrometer (X-ray source: Mg-Kα radiation). The catalysts were treated by flowing H 2 at 650°C for 0.5 h in a quartz reactor, followed by transferring into the spectrometer in air. The surface of the catalyst was sputtered by Ar + (voltage: 400 V, rate: 20%, time: 1 s, at each cycle) for the depth analysis. Calibration of the binding energy was performed with the Si 2p emission of the SiO 2 support (103.9 eV). FT-IR spectra of adsorbed CO were obtained with a JASCO FTIR-4100 spectrometer with a TGS detector in the transmission mode (resolution 4 cm −1 ) under a dynamic condition. Prior to CO chemisorption, 50 mg of the catalyst was pressed into a pellet (diameter of 20 mm) and placed in a quartz cell equipped with CaF 2 windows and a Dewar vessel, followed by reduction under a flowing H 2 at 550˚C for 1 h. The reduced sample was then kept in vacuum at 550˚C for 1 h, then the cell was cooled to ca −196°C by liquid nitrogen. The sample was exposed to a pulse of low-pressure CO, and then evacuated in vacuum to remove the gaseous CO and concentrated CO on the catalyst. This CO exposure was repeated several times until the CO saturation coverage.
TPO experiment was performed to quantify the amount of coke deposited on the spent catalysts after 20 h of PDH at 600°C (15 mg of the catalyst without quartz sand). The spent catalyst (10 mg) placed in a quartz tube reactor was treated under flowing He (40 mL min −1 ) at 150°C for 30 min, followed by cooling to room temperature. Then, the catalyst bed temperature was increased (25-900°C, ramping rate: 5°C min −1 ) under flowing O 2 /He (50%, 40 mL min −1 ). The amount of CO 2 in the outlet gas was quantified by an online mass spectrometer.
XAFS spectra of the prepared catalysts were collected at the BL01B1 beamline of SPring-8, Japan Synchrotron Radiation Research Institute (JASRI) using an Si(111) double-crystal as a monochromator. Prior to the measurement, the catalyst was pelletized (ca. 150 mg with a diameter of 10 mm) and pretreated by H 2 at 650°C for 0.5 h in a quartz tube. After the pretreatment, the quartz tube containing the reduced pellet was sealed and transferred into an Ar grove box (O 2 : <0.1 ppm) without exposing to air. The pellet was sealed in a plastic film bag (Barrier Nylon) together with an oxygen absorber (ISO A500-HS: Fe powder). The Pt L III -and Ga K-edges XAFS spectra were recorded in a transmission mode at room temperature. Athena and Artemis software ver. 0.9.25 implemented in the Demeter package 35 was used for the analysis of the obtained XAFS spectra. Fourier-transform of the Pt L III -edge EXAFS oscillation was obtained in the k range of 3−16 Å −1 . The back Fourier-transform obtained in the R range of 1.5−3.5 Å was used for curve-fitting. FEFF8 was used for the calculation of the back-scattering amplitude and phase shift functions 36 . We defined the R-factor (R 2 ) for curve-fitting as follows: Computational details. DFT calculations were performed by using the CASTEP code 37 . We used Vanderbilt-type ultrasoft pseudopotentials 38 and the revised version of Perdew−Burke−Ernzerhof exchange-correlation functional 39,40 based on the generalized gradient approximation. A cut-off energy of 370 eV was used for the plane-wave basis set. A k-point mesh with a spacing of 0.04 Å −1 generated by the Monkhorst−Pack scheme 41 was used to sample the Brillouin zone. In this study, the PtGa:A(111) and Pt 3 Sn(111) planes were considered as the standard active surfaces for PDH. The supercell structure was constructed using a (2 × 2) unit cell slab with six atomic layers and a vacuum spacing of 15 Å. We performed geometry optimizations on the supercell structures using a Fermi smearing of 0.1 eV, the OBS method for dispersion correlations, and the following convergence criteria: (1) self-consistent field tolerance: 1.0 × 10 −6 eV per atom; (2) energy tolerance: 1.0 × 10 −5 eV per atom; (3) maximum force tolerance of 0.05 eV Å −1 , and (4) maximum displacement tolerance: 1.0 × 10 −3 Å. Transition state search was carried out based on the complete linear synchronous transit/quadratic synchronous transit method 42,43 with the tolerance for all root-mean-square forces on an atom of 0.10 eV Å −1 .

Data availability
The data that support the findings of this study are available from the corresponding author upon reasonable request.