Abstract
The microenvironment at electrochemical interfaces plays a crucial role in governing electrode-mediated electron transfer processes. However, elucidating the complex effects of the microenvironment remains challenging. The Butler–Volmer equation has been used in deducing reaction mechanisms and identifying rate-determining steps, but its empirical nature makes it challenging to deduce the molecular-level picture of interfacial electron transfer processes. By contrast, the application of the Marcus–Hush–Chidsey (MHC) electron transfer theory has been constrained by its tenuous connection to experimentally measurable parameters beyond reaction rates. Here we develop a mechanistic framework based on the MHC theory to systematically analyse the cation effect on the Au-catalysed CO2 reduction reaction using experimentally accessible variables. Our analysis reveals consistent trends for both inorganic and organic cations through thermodynamic and kinetic parameters derived from the MHC theory, with potential applications for probing ionomer–electrode interface microenvironments. This study establishes a universal strategy for investigating interfacial microenvironments in electron transfer processes by bridging theoretical parameters with experimental descriptors.

This is a preview of subscription content, access via your institution
Access options
Access Nature and 54 other Nature Portfolio journals
Get Nature+, our best-value online-access subscription
$32.99 / 30 days
cancel any time
Subscribe to this journal
Receive 12 print issues and online access
$259.00 per year
only $21.58 per issue
Buy this article
- Purchase on SpringerLink
- Instant access to the full article PDF.
USD 39.95
Prices may be subject to local taxes which are calculated during checkout





Similar content being viewed by others
Data availability
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.
References
Govindarajan, N., Xu, A. & Chan, K. How pH affects electrochemical processes. Science 375, 379–380 (2022).
Xu, Y. et al. Cation effect on the elementary steps of the electrochemical CO reduction reaction on Cu. Nat. Catal. 7, 1120–1129 (2024).
Gomes, R. J. et al. Modulating water hydrogen bonding within a non-aqueous environment controls its reactivity in electrochemical transformations. Nat. Catal. 7, 689–701 (2024).
Chen, C. et al. Local reaction environment in electrocatalysis. Chem. Soc. Rev. 53, 2022–2055 (2024).
Lewis, N. B. et al. A molecular-level mechanistic framework for interfacial proton-coupled electron transfer kinetics. Nat. Chem. 16, 343–352 (2024).
Xu, Y., Yang, H., Chang, X. & Xu, B. Introduction to electrocatalytic kinetics. Acta Phys. Chim. Sin. 39, 2210025 (2023).
Henstridge, M. C., Laborda, E., Rees, N. V. & Compton, R. G. Marcus–Hush–Chidsey theory of electron transfer applied to voltammetry: a review. Electrochim. Acta 84, 12–20 (2012).
Dickinson, E. J. F. & Wain, A. J. The Butler–Volmer equation in electrochemical theory: origins, value, and practical application. J. Electroanal. Chem. 872, 114145 (2020).
Marcus, R. A. On the theory of oxidation–reduction reactions involving electron transfer. J. Chem. Phys. 24, 966 (1956).
Marcus, R. A. & Sutin, N. Electron transfers in chemistry and biology. Biochim. Biophys. Acta 811, 265–322 (1985).
Hush, N. S. Adiabatic rate processes at electrodes. I. Energy–charge relationships. J. Chem. Phys. 28, 962 (1958).
Chidsey, C. E. D. Free energy and temperature dependence of electron transfer at the metal–electrolyte interface. Science 251, 919–922 (1991).
Huang, B. et al. Cation-dependent interfacial structures and kinetics for outer-sphere electron-transfer reactions. J. Phys. Chem. C 125, 4397–4411 (2021).
Huang, B. et al. Cation- and pH-dependent hydrogen evolution and oxidation reaction kinetics. JACS Au 1, 1674–1687 (2021).
Zhang, B. A., Costentin, C. & Nocera, D. G. Driving force dependence of inner-sphere electron transfer for the reduction of CO2 on a gold electrode. J. Chem. Phys. 153, 094701 (2020).
Brown, S. M. et al. Electron transfer limitation in carbon dioxide reduction revealed by data-driven Tafel analysis. Preprint at ChemRxiv https://doi.org/10.26434/chemrxiv.13244906.v1 (2020).
Lees, E. W. et al. Exploring CO2 reduction and crossover in membrane electrode assemblies. Nat. Chem. Eng. 1, 340–353 (2024).
Goyal, A., Marcandalli, G., Mints, V. A. & Koper, M. T. M. Competition between CO2 reduction and hydrogen evolution on a gold electrode under well-defined mass transport conditions. J. Am. Chem. Soc. 142, 4154–4161 (2020).
Vos, R. E. & Koper, M. T. M. The effect of temperature on the cation-promoted electrochemical CO2 reduction on gold. ChemElectroChem 9, e202200239 (2022).
Cui, Z., Wong, A. J., Janik, M. J. & Co, A. C. Cation effects on CO2 reduction catalyzed bysingle-crystal and polycrystalline gold underwell-defined mass transport conditions. Sci. Adv. 11, eadr6465 (2025).
Wuttig, A., Yaguchi, M., Motobayashi, K. & Surendranath, Y. Inhibited proton transfer enhances Au-catalyzed CO2-to-fuels selectivity. Proc. Natl Acad. Sci. USA 113, E4585–E4593 (2016).
Wuttig, A., Yoon, Y., Ryu, J. & Surendranath, Y. Bicarbonate is not a general acid in au-catalyzed CO2 electroreduction. J. Am. Chem. Soc. 139, 17109–17113 (2017).
Monteiro, M. C. O. et al. Absence of CO2 electroreduction on copper, gold and silver electrodes without metal cations in solution. Nat. Catal. 4, 654–662 (2021).
Shin, S. et al. A unifying mechanism for cation effect modulating C1 and C2 productions from CO2 electroreduction. Nat. Commun. 13, 5482 (2022).
Qin, X., Hansen, H. A., Honkala, K. & Melander, M. M. Cation-induced changes in the inner- and outer-sphere mechanisms of electrocatalytic CO2 reduction. Nat. Commun. 14, 7607 (2023).
Koper, M. T. M. Theory and kinetic modeling of electrochemical cation-coupled electron transfer reactions. J. Solid State Electrochem. 28, 1601–1606 (2024).
Bazant, M. Z. Unified quantum theory of electrochemical kinetics by coupled ion–electron transfer. Faraday Discuss. 246, 60–124 (2023).
Wang, G. et al. Electrocatalysis for CO2 conversion: from fundamentals to value-added products. Chem. Soc. Rev. 50, 4993–5061 (2021).
Chen, Y., Li, C. W. & Kanan, M. W. Aqueous CO2 reduction at very low overpotential on oxide-derived Au nanoparticles. J. Am. Chem. Soc. 134, 19969–19972 (2012).
Zhang, Z. et al. Probing electrolyte effects on cation-enhanced CO2 reduction on copper in acidic media. Nat. Catal. 7, 807–817 (2024).
Ringe, S. et al. Understanding cation effects in electrochemical CO2 reduction. Energy Environ. Sci. 12, 3001–3014 (2019).
Bard, A. J. & Faulkner, L. R. Electrochemical Methods: Fundamentals and Applications (Wiley, 2001).
Tian, Y. et al. Effect of ion-specific water structures at metal surfaces on hydrogen production. Nat. Commun. 15, 7834 (2024).
Marcus, Y. Effect of ions on the structure of water: structure making and breaking. Chem. Rev. 109, 1346–1370 (2009).
Bohra, D. et al. Modeling the electrical double layer to understand the reaction environment in a CO2 electrocatalytic system. Energy Environ. Sci. 12, 3380–3389 (2019).
Bockris, J. O’ M. & Khan, S. U. M. Quantum Electrochemistry (Springer, 1979).
Le, J., Chen, A., Kuang, Y. & Cheng, J. Molecular understanding of cation effects on double layers and their significance to CO–CO dimerization. Nat. Sci. Rev. 10, nwad105 (2023).
Ovalle, V. J. et al. Correlating hydration free energy and specific adsorption of alkali metal cations during CO2 electroreduction on Au. Nat. Catal. 5, 624–632 (2022).
Peng, L. et al. Research advances in electrocatalysts, electrolytes, reactors and membranes for the electrocatalytic carbon dioxide reduction reaction. Acta Phys. Chim. Sin. 39, 2302037 (2023).
Wang, J. et al. Poly(aryl piperidinium) membranes and ionomers for hydroxide exchange membrane fuel cells. Nat. Energy 4, 392–398 (2019).
Yin, Z. et al. An alkaline polymer electrolyte CO2 electrolyzer operated with pure water. Energy Environ. Sci. 12, 2455–2462 (2019).
Lazanas, A. C. & Prodromidis, M. I. Electrochemical impedance spectroscopy─A tutorial. ACS Meas. Sci. Au 3, 162–193 (2023).
Brug, G. J., van den Eeden, A. L. G., Sluyters-Rehbach, M. & Sluyters, J. H. The analysis of electrode impedances complicated by the presence of a constant phase element. J. Electroanal. Chem. Interfacial Electrochem. 176, 275–295 (1984).
Acknowledgements
This work is supported by the Beijing Natural Science Foundation Key Research Program (grant no. Z240026) and the Beijing National Laboratory for Molecular Sciences. This work is also supported by the National Key R&D Program of China (grant no. 2023YFA1508001 to X.C.) and the National Natural Science Foundation of China (grant nos. 22278002 to X.C and 92261111 to H.X.).
Author information
Authors and Affiliations
Contributions
Y.X. and B.X. conceived of the idea and designed the experiments in this study. Y.X. conducted all the experiments and analyses. Y.Q. performed the density functional theory calculations. All authors analysed the data and co-wrote the paper.
Corresponding authors
Ethics declarations
Competing interests
The authors declare no competing interests.
Peer review
Peer review information
Nature Chemistry thanks Dong Young Chung, Anne Co and the other, anonymous, reviewer(s) for their contribution to the peer review of this work.
Additional information
Publisher’s note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Supplementary information
Supplementary Information
Supplementary Figs. 1–21, Notes 1–7 and Table 1.
Source data
Source Data Fig. 1
Current–potential plots and fitting parameters.
Source Data Fig. 2
Reorganization energy and SEIRA spectra.
Source Data Fig. 3
Pre-exponential factors and fitted curve.
Source Data Fig. 4
Correlation among capacitance, hydration-free energy and pre-exponential factors.
Source Data Fig. 5
Reorganization and pre-exponential factors with ionomer modifications.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Xu, Y., Qiu, Y., Chang, X. et al. Revealing the impact of microenvironment on gold-catalysed CO2 electroreduction via Marcus–Hush–Chidsey kinetics. Nat. Chem. (2025). https://doi.org/10.1038/s41557-025-02010-8
Received:
Accepted:
Published:
Version of record:
DOI: https://doi.org/10.1038/s41557-025-02010-8


