Breaking the linear scaling limit in multi-electron-transfer electrocatalysis through intermediate spillover | Nature Catalysis
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The linear scaling relationships between the adsorption energies of multiple intermediates constrain the maximum reaction activity of heterogeneous catalysis. Here we propose an intermediate spillover strategy to decouple the elementary electron-transfer steps in an electrochemical reaction by building a bi-component interface, thereby independently tuning the corresponding intermediate adsorption at an individual catalytic surface. Taking the electrocatalytic oxygen reduction reaction as an example, oxophilic sites are preferable for activating oxygen molecules, then the adsorbed OH* intermediates spontaneously migrate to the adjacent sites with a weaker oxygen binding energy, where OH* intermediates are further reduced and desorbed to complete the overall catalytic cycle. Consequently, the designed Pd/Ni(OH)2 catalyst can remarkably elevate the half-wave potential of the oxygen reduction reaction to ~70 mV higher than that of the Pt/C catalyst, surmounting the theoretical overpotential limit of Pd. This design principle highlights an opportunity for utilizing intermediate spillover to break the ubiquitous scaling relationships in multi-step catalytic reactions.
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The data that support the findings of this study are available from the corresponding authors upon reasonable request. Source data are provided with this paper.
Chu, S. & Majumdar, A. Opportunities and challenges for a sustainable energy future. Nature 488, 294–303 (2012).
Article CAS PubMed Google Scholar
Sabatier, P. La Catalyse en Chimie Organique (Librarie Polytechnique, 1913).
Seh, Z. W. et al. Combining theory and experiment in electrocatalysis: insights into materials design. Science 355, eaad4998 (2017).
Article PubMed Google Scholar
Nørskov, J. K., Bligaard, T., Rossmeisl, J. & Christensen, C. H. Towards the computational design of solid catalysts. Nat. Chem. 1, 37–46 (2009).
Article PubMed Google Scholar
Nørskov, J. K., Abild-Pedersen, F., Studt, F. & Bligaard, T. Density functional theory in surface chemistry and catalysis. Proc. Natl Acad. Sci. USA 108, 937–943 (2011).
Article PubMed PubMed Central Google Scholar
Bligaard, T. et al. The Brønsted–Evans–Polanyi relation and the volcano curve in heterogeneous catalysis. J. Catal. 224, 206–217 (2004).
Article CAS Google Scholar
Abild-Pedersen, F. et al. Scaling properties of adsorption energies for hydrogen-containing molecules on transition-metal surfaces. Phys. Rev. Lett. 99, 016105 (2007).
Article CAS PubMed Google Scholar
Zhao, Z.-J. et al. Theory-guided design of catalytic materials using scaling relationships and reactivity descriptors. Nat. Rev. Mater. 4, 792–804 (2019).
Article Google Scholar
Montoya, J. H. et al. Materials for solar fuels and chemicals. Nat. Mater. 16, 70–81 (2017).
Article Google Scholar
Wang, Q., Cheng, Y., Yang, H. B., Su, C. & Liu, B. Integrative catalytic pairs for efficient multi-intermediate catalysis. Nat. Nanotechnol. 19, 1442–1451 (2024).
Article CAS PubMed Google Scholar
Wang, P. et al. Breaking scaling relations to achieve low-temperature ammonia synthesis through LiH-mediated nitrogen transfer and hydrogenation. Nat. Chem. 9, 64–70 (2017).
Article CAS PubMed Google Scholar
Kibsgaard, J. & Chorkendorff, I. Considerations for the scaling-up of water splitting catalysts. Nat. Energy 4, 430–433 (2019).
Article Google Scholar
Wang, X. et al. Pivotal role of reversible NiO6 geometric conversion in oxygen evolution. Nature 611, 702–708 (2022).
Article CAS PubMed Google Scholar
Vojvodic, A. & Nørskov, J. K. New design paradigm for heterogeneous catalysts. Natl Sci. Rev. 2, 140–143 (2015).
Article CAS Google Scholar
Khorshidi, A., Violet, J., Hashemi, J. & Peterson, A. A. How strain can break the scaling relations of catalysis. Nat. Catal. 1, 263–268 (2018).
Article Google Scholar
Pérez-Ramírez, J. & López, N. Strategies to break linear scaling relationships. Nat. Catal. 2, 971–976 (2019).
Article Google Scholar
Xiong, L. et al. Breaking the linear scaling relationship by compositional and structural crafting of ternary Cu–Au/Ag nanoframes for electrocatalytic ethylene production. Angew. Chem. Int. Ed. 60, 2508–2518 (2021).
Article CAS Google Scholar
Gao, Q. et al. Breaking adsorption-energy scaling limitations of electrocatalytic nitrate reduction on intermetallic CuPd nanocubes by machine-learned insights. Nat. Commun. 13, 2338 (2022).
Article CAS PubMed PubMed Central Google Scholar
Zhang, B. et al. Homogeneously dispersed multimetal oxygen-evolving catalysts. Science 352, 333–337 (2016).
Article CAS PubMed Google Scholar
Wang, Q. et al. Atomic metal–non-metal catalytic pair drives efficient hydrogen oxidation catalysis in fuel cells. Nat. Catal. 6, 916–926 (2023).
Article CAS Google Scholar
Xiong, M., Gao, Z. & Qin, Y. Spillover in heterogeneous catalysis: new insights and opportunities. ACS Catal. 11, 3159–3172 (2021).
Article CAS Google Scholar
Jiang, L. et al. Facet engineering accelerates spillover hydrogenation on highly diluted metal nanocatalysts. Nat. Nanotechnol. 15, 848–853 (2020).
Article CAS PubMed Google Scholar
Dai, J. et al. Hydrogen spillover in complex oxide multifunctional sites improves acidic hydrogen evolution electrocatalysis. Nat. Commun. 13, 1189 (2022).
Article CAS PubMed PubMed Central Google Scholar
Shen, X. et al. Dual-site cascade oxygen reduction mechanism on SnOx/Pt-Cu-Ni for promoting reaction kinetics. J. Am. Chem. Soc. 141, 9463–9467 (2019).
Article CAS PubMed Google Scholar
Liu, Y. et al. Direct observation of accelerating hydrogen spillover via surface-lattice-confinement effect. Nat. Commun. 14, 613 (2023).
Article CAS PubMed PubMed Central Google Scholar
Koper, M. T. M. Thermodynamic theory of multi-electron transfer reactions: implications for electrocatalysis. J. Electroanal. Chem. 660, 254–260 (2011).
Article CAS Google Scholar
Yang, C.-L. et al. Sulfur-anchoring synthesis of platinum intermetallic nanoparticle catalysts for fuel cells. Science 374, 459–464 (2021).
Article CAS PubMed Google Scholar
Gao, R. et al. Pt/Fe2O3 with Pt–Fe pair sites as a catalyst for oxygen reduction with ultralow Pt loading. Nat. Energy 6, 614–623 (2021).
Article CAS Google Scholar
Lopes, P. P. et al. Eliminating dissolution of platinum-based electrocatalysts at the atomic scale. Nat. Mater. 19, 1207–1214 (2020).
Article CAS PubMed Google Scholar
Debe, M. K. Electrocatalyst approaches and challenges for automotive fuel cells. Nature 486, 43–51 (2012).
Article CAS PubMed Google Scholar
Christensen, R., Hansen, H. A., Dickens, C. F., Nørskov, J. K. & Vegge, T. Functional independent scaling relation for ORR/OER catalysts. J. Phys. Chem. C 120, 24910–24916 (2016).
Article CAS Google Scholar
Zhang, J., Yang, H. B., Zhou, D. & Liu, B. Adsorption energy in oxygen electrocatalysis. Chem. Rev. 122, 17028–17072 (2022).
Article CAS PubMed Google Scholar
Markovic, N., Gasteiger, H. & Ross, P. N. Kinetics of oxygen reduction on Pt(hkl) electrodes: implications for the crystallite size effect with supported Pt electrocatalysts. J. Electrochem. Soc. 144, 1591 (1997).
Article CAS Google Scholar
Antolini, E. Palladium in fuel cell catalysis. Energy Environ. Sci. 2, 915–931 (2009).
Article CAS Google Scholar
Yang, Y. et al. Combinatorial studies of palladium-based oxygen reduction electrocatalysts for alkaline fuel cells. J. Am. Chem. Soc. 142, 3980–3988 (2020).
Article CAS PubMed Google Scholar
Zhang, J. et al. In situ precise tuning of bimetallic electronic effect for boosting oxygen reduction catalysis. Nano Lett. 21, 7753–7760 (2021).
Article CAS PubMed Google Scholar
Mori, K. et al. Phenylamine-functionalized mesoporous silica supported PdAg nanoparticles: a dual heterogeneous catalyst for formic acid/CO2-mediated chemical hydrogen delivery/storage. Chem. Commun. 53, 4677–4680 (2017).
Article CAS Google Scholar
Mori, K., Sano, T., Kobayashi, H. & Yamashita, H. Surface engineering of a supported PdAg catalyst for hydrogenation of CO2 to formic acid: elucidating the active Pd atoms in alloy nanoparticles. J. Am. Chem. Soc. 140, 8902–8909 (2018).
Article CAS PubMed Google Scholar
Zamora Zeledón, J. A. et al. Tuning the electronic structure of Ag–Pd alloys to enhance performance for alkaline oxygen reduction. Nat. Commun. 12, 620 (2021).
Article PubMed PubMed Central Google Scholar
Wang, X. P. et al. Strain stabilized nickel hydroxide nanoribbons for efficient water splitting. Energy Environ. Sci. 13, 229–237 (2020).
Article CAS Google Scholar
Wang, Q. et al. Long-term stability challenges and opportunities in acidic oxygen evolution electrocatalysis. Angew. Chem. Int. Ed. 62, e202216645 (2023).
Article CAS Google Scholar
Dong, J.-C. et al. In situ Raman spectroscopic evidence for oxygen reduction reaction intermediates at platinum single-crystal surfaces. Nat. Energy 4, 60–67 (2019).
Article CAS Google Scholar
Zhang, X.-L. et al. Strongly coupled cobalt diselenide monolayers for selective electrocatalytic oxygen reduction to H2O2 under acidic conditions. Angew. Chem. Int. Ed. 60, 26922–26931 (2021).
Article CAS Google Scholar
Yang, J. et al. Dynamic behavior of single-atom catalysts in electrocatalysis: identification of Cu-N3 as an active site for the oxygen reduction reaction. J. Am. Chem. Soc. 143, 14530–14539 (2021).
Article CAS PubMed Google Scholar
Tromp, M. et al. High energy resolution fluorescence detection X-ray absorption spectroscopy: detection of adsorption sites in supported metal catalysts. AIP Conf. Proc. 882, 651–653 (2007).
Article CAS Google Scholar
Wang, J., Zhou, J., Hu, Y. & Regier, T. Chemical interaction and imaging of single Co3O4/graphene sheets studied by scanning transmission X-ray microscopy and X-ray absorption spectroscopy. Energy Environ. Sci. 6, 926–934 (2013).
Article CAS Google Scholar
Gaur, A. & Shrivastava, B. D. Speciation using X-ray absorption fine structure (XAFS). Rev. J. Chem. 5, 361–398 (2015).
Article CAS Google Scholar
Wang, Q. et al. Coordination engineering of iridium nanocluster bifunctional electrocatalyst for highly efficient and pH-universal overall water splitting. Nat. Commun. 11, 4246 (2020).
Article CAS PubMed PubMed Central Google Scholar
Wang, J. et al. Exceptionally active and stable RuO2 with interstitial carbon for water oxidation in acid. Chem 8, 1673–1687 (2022).
Article CAS Google Scholar
Wu, T. et al. Iron-facilitated dynamic active-site generation on spinel CoAl2O4 with self-termination of surface reconstruction for water oxidation. Nat. Catal. 2, 763–772 (2019).
Article CAS Google Scholar
Peng, L. et al. Atomic cation-vacancy engineering of NiFe-layered double hydroxides for improved activity and stability towards the oxygen evolution reaction. Angew. Chem. Int. Ed. 60, 24612–24619 (2021).
Article CAS Google Scholar
Zhu, Y. et al. Oxygen activation on Ba-containing perovskite materials. Sci. Adv. 8, eabn4072 (2022).
Article CAS PubMed PubMed Central Google Scholar
Zhang, J. et al. Advances in thermodynamic-kinetic model for analyzing the oxygen evolution reaction. ACS Catal. 10, 8597–8610 (2020).
Article CAS Google Scholar
Wang, J. et al. Redirecting dynamic surface restructuring of a layered transition metal oxide catalyst for superior water oxidation. Nat. Catal. 4, 212–222 (2021).
Article Google Scholar
Jin, Z. et al. Understanding the inter-site distance effect in single-atom catalysts for oxygen electroreduction. Nat. Catal. 4, 615–622 (2021).
Article CAS Google Scholar
Luo, M. et al. PdMo bimetallene for oxygen reduction catalysis. Nature 574, 81–85 (2019).
Article CAS PubMed Google Scholar
Liang, J. et al. Gas-balancing adsorption strategy towards noble-metal-based nanowire electrocatalysts. Nat. Catal. 7, 719–732 (2024).
Article CAS Google Scholar
Liu, C. et al. Oxygen evolution reaction over catalytic single-site Co in a well-defined brookite TiO2 nanorod surface. Nat. Catal. 4, 36–45 (2021).
Article CAS Google Scholar
Liu, S. et al. A top-down strategy for amorphization of hydroxyl compounds for electrocatalytic oxygen evolution. Nat. Commun. 13, 1187 (2022).
Article CAS PubMed PubMed Central Google Scholar
Zhang, B. et al. High-valence metals improve oxygen evolution reaction performance by modulating 3d metal oxidation cycle energetics. Nat. Catal. 3, 985–992 (2020).
Article CAS Google Scholar
Kresse, G. & Furthmüller, J. Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set. Phys. Rev. B 54, 11169–11186 (1996).
Article CAS Google Scholar
Kresse, G. & Furthmüller, J. Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set. Comput. Mater. Sci. 6, 15–50 (1996).
Article CAS Google Scholar
Kresse, G. & Joubert, D. From ultrasoft pseudopotentials to the projector augmented-wave method. Phys. Rev. B 59, 1758–1775 (1999).
Article CAS Google Scholar
Henkelman, G., Uberuaga, B. P. & Jónsson, H. A climbing image nudged elastic band method for finding saddle points and minimum energy paths. J. Chem. Phys. 113, 9901–9904 (2000).
Article CAS Google Scholar
Nosé, S. A unified formulation of the constant temperature molecular dynamics methods. J. Chem. Phys. 81, 511–519 (1984).
Article Google Scholar
Hoover, W. G. Canonical dynamics: equilibrium phase-space distributions. Phys. Rev. A 31, 1695–1697 (1985).
Article CAS Google Scholar
VandeVondele, J. & Hutter, J. Gaussian basis sets for accurate calculations on molecular systems in gas and condensed phases. J. Chem. Phys. 127, 114105 (2007).
Article PubMed Google Scholar
Woo, T. K., Margl, P. M., Blöchl, P. E. & Ziegler, T. A combined Car-Parrinello QM/MM implementation for ab initio molecular dynamics simulations of extended systems: application to transition metal catalysis. J. Phys. Chem. B 101, 7877–7880 (1997).
Article CAS Google Scholar
Sprik, M. & Ciccotti, G. Free energy from constrained molecular dynamics. J. Chem. Phys. 109, 7737–7744 (1998).
Article CAS Google Scholar
Cramer, C. J. Essentials of Computational Chemistry: Theories and Models 2nd edn (Wiley, 2004).
Nørskov, J. K. et al. Origin of the overpotential for oxygen reduction at a fuel-cell cathode. J. Phys. Chem. B 108, 17886–17892 (2004).
Article PubMed Google Scholar
Jones, R. O. & Gunnarsson, O. The density functional formalism, its applications and prospects. Rev. Mod. Phys. 61, 689–746 (1989).
Article CAS Google Scholar
Greeley, J. et al. Alloys of platinum and early transition metals as oxygen reduction electrocatalysts. Nat. Chem. 1, 552–556 (2009).
Article CAS PubMed Google Scholar
Viswanathan, V., Hansen, H. A., Rossmeisl, J. & Nørskov, J. K. Universality in oxygen reduction electrocatalysis on metal surfaces. ACS Catal. 2, 1654–1660 (2012).
Article CAS Google Scholar
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This work was supported financially by the City University of Hong Kong startup fund (9020003), an ITF-RTH–Global STEM Professorship (9446006), and the JC STEM lab of Advanced CO2 Upcycling (9228005). S.-F.H. acknowledges financial support from the National Science and Technology Council, Taiwan (contract no. NSTC 111-2628-M-A49-008) and Yushan Young Scholar Program and the Center for Emergent Functional Matter Science, Ministry of Education, Taiwan. H.B.T. acknowledges financial support from the National Key R&D Program of China (2023YFB4004600). H.B.Y. acknowledges support from the National Natural Science Foundation of China under grant no. 22075195. W.L. is grateful for support from the National Natural Science Foundation of China (22427801). Y.X. acknowledges financial support from the National Natural Science Foundation of China (22478348). C.S. is financially supported by the National Key Research and Development Program of China (2021YFA1600800). J.G.C. is sponsored by the US Department of Energy (contract no. DE-SC0012704).
These authors contributed equally: Qilun Wang, Sung-Fu Hung, Kejie Lao.
Department of Materials Science and Engineering, City University of Hong Kong, Hong Kong SAR, China
Qilun Wang, Fuhua Li & Bin Liu
Department of Applied Chemistry and Center for Emergent Functional Matter Science, National Yang Ming Chiao Tung University, Hsinchu, Taiwan
Sung-Fu Hung
Department of Medicinal and Applied Chemistry, Kaohsiung Medical University, Kaohsiung, Taiwan
Sung-Fu Hung
State Key Laboratory for Physical Chemistry of Solid Surfaces, Collaborative Innovation Center of Chemistry for Energy Materials, and College of Chemistry and Chemical Engineering, Xiamen University, Xiamen, China
Kejie Lao & Hua Bing Tao
Innovation Laboratory for Sciences and Technologies of Energy Materials of Fujian Province (IKKEM), Xiamen, China
Kejie Lao & Hua Bing Tao
School of Chemistry, Chemical Engineering and Biotechnology, Nanyang Technological University, Singapore, Singapore
Xiang Huang, Liping Zhang & Junming Zhang
School of Materials Science and Engineering, Suzhou University of Science and Technology, Suzhou, China
Hong Bin Yang & Yuhang Liu
Dalian Institute of Chemical Physics, Chinese Academy of Sciences, Dalian, China
Wei Liu & Weijue Wang
School of Chemical Engineering, Dalian University of Technology, Dalian, China
Yaqi Cheng
National Synchrotron Radiation Research Center, Hsinchu, Taiwan
Nozomu Hiraoka
Institute of Coal Chemistry, Chinese Academy of Sciences, Taiyuan, China
Jiazang Chen
College of Chemical Engineering, Zhejiang University of Technology, Hangzhou, China
Yinghua Xu
International Collaboration Laboratory of 2D Materials for Optoelectronics Science and Technology of Ministry of Education, Institute of Microscale Optoelectronics, Shenzhen University, Shenzhen, China
Chenliang Su
Department of Chemical Engineering, Columbia University, New York, NY, USA
Jingguang G. Chen
Department of Chemistry, Hong Kong Institute for Clean Energy (HKICE) & Center of Super-Diamond and Advanced Films (COSDAF), City University of Hong Kong, Hong Kong SAR, China
Bin Liu
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Q.W., H.B.T. and B.L. conceived and designed the project. Q.W., K.L., H.B.T., L.Z., J.Z., Y.C., J.C. and Y.X. performed the catalyst synthesis, structural characterizations and electrochemical measurements. S.-F.H., H.B.Y., N.H. and Y.L. acquired the X-ray absorption spectroscopies and provided expertise for data analysis. W.L. and W.W. obtained the TEM images. X.H. and F.L. carried out the theoretical calculations. Q.W., H.B.T., C.S., J.G.C. and B.L. discussed the results and drafted the paper. All authors reviewed and contributed to this paper.
Correspondence to Hua Bing Tao, Jingguang G. Chen or Bin Liu.
The authors declare no competing interests.
Nature Catalysis thanks the anonymous reviewers for their contribution to the peer review of this work.
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Table of Contents; Supplementary Figs. 1–31, Tables 1–3 and References.
AIMD simulations for the spillover of adsorbed OH* from Pd sites to the nearby Ag surface.
Atomic coordinates of the optimized computational models, initial and final configurations in AIMD simulations.
Source data Fig. 1
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Wang, Q., Hung, SF., Lao, K. et al. Breaking the linear scaling limit in multi-electron-transfer electrocatalysis through intermediate spillover. Nat Catal (2025). https://doi.org/10.1038/s41929-025-01323-8
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Received: 24 September 2023
Accepted: 11 March 2025
Published: 02 April 2025
DOI: https://doi.org/10.1038/s41929-025-01323-8
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