Chinese Journal of Catalysis ›› 2026, Vol. 91: 163-175.DOI: 10.1016/S1872-2067(26)65208-4
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Xiao-Li Lianga,1, Zhao-Yu Wanga,1, Shi-Lin Yana, Ting-Ting Yina, Wei Zhangb,c,*(
), Hao Zhanga,*(
), Xiaohong Liud, Liu-Bin Zhaoa,*(
)
Received:2026-03-19
Accepted:2026-05-13
Online:2026-12-18
Published:2026-10-13
About author:1Contributed equally to this work.
Supported by:Xiao-Li Liang, Zhao-Yu Wang, Shi-Lin Yan, Ting-Ting Yin, Wei Zhang, Hao Zhang, Xiaohong Liu, Liu-Bin Zhao. Machine learning-accelerated electrocatalytic microkinetic model for global reaction network simulation of CO2 reduction reaction[J]. Chinese Journal of Catalysis, 2026, 91: 163-175.
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URL: https://www.cjcatal.com/EN/10.1016/S1872-2067(26)65208-4
Fig. 1. Workflow of ML accelerated DFT calculations by AdsorbML-FT: (1) Initial configuration sampling: initial “adsorbate + substrate” configurations are generated for different combinations of adsorbate and substrate. (2) ML pre-screening: all initial configurations undergo ML-driven relaxation yielding ML-pre-relaxed configurations. (3) 3-Step DFT calculation: A three-step consecutive relaxation cycle is performed on the pre-relaxed configurations to calculate DFT single-point (DFT(SP)), which are used for validation or subsequent fine-tuning. (4) Fine tuning training: Use DFT single-point data for fine-tuning the pre-trained model. (5) Refined ML prediction: The fine-tuned ML (FT) model reprocesses different combinations of adsorbate and substrate to obtain a new set of more accurate ML-pre-relaxed optimal configurations. (6) Final DFT relaxation: The optimal configuration determined by ML(FT) will undergo a full DFT relaxation.
Fig. 2. (a) Top view of the Cu3Al1(111) surface. (b) DFT relaxation and adsorption energy changes of initial structures obtained by three methods (Heuristic, ML, ML(FT)), where the “SCF step” corresponds to the self-consistent field (SCF) calculation step in DFT. (c) Adsorption potential energy surface of CO on the surface shown in (a). (d) Adsorption energy profile along the x=5.3 Å line in (c), predicted by three different models,where ML(FT)-15 denotes a machine learning model trained using 15 DFT data points, and ML(FT)-503 denotes a machine learning model trained using 503 DFT data points.
Fig. 3. (a) Comparison of adsorption energies between pre-trained ML predictions and DFT(SP) on the validation set. (b) Validation set performance: Fine-tuned ML model (537 training points) vs. DFT(SP) adsorption energies. (c) Reproducibility test: Violin plot showing the distribution of R2 scores for adsorption energies on independently constructed DFT validation (three-step single-point calculations per adsorbate + substrate combination) points over 50 independent runs. (d) Assessment of initial structure quality: Absolute deviation (ΔEads) between DFT single-point energies of ML-predicted initial structures and final relaxed states across 48 systems.
Fig. 4. (a) Global reaction networks of CO2 reduction to C1 products. (b) Partial and total reaction rates as a function of electrode potential evaluated by GRN. (c) Faradaic efficiency as a function of electrode potential calculated by GRN. (d) and (e) Comparison of catalytic activities and product selectivities estimated by GRN and ORP.
Fig. 5. Total reaction rates (a) and activation barriers (b) of CORR on Cu3M1 catalysts at U=-1.0 V vs. SHE. (c,d) Proportional function fitting of total reaction rate with rate constant of rate-determining step at U=-0.3 and -1.0 V vs. SHE. (e) Calculated coefficients of determination as a function of electrode potential.
Fig. 6. (a,b) Product selectivity on different substrates with U=-0.3 and -1.0 V vs. SHE. Faradaic efficiency of CORR as a function of electrode potential on Cu3Au1 (c), Cu3In1 (d), and Cu3Al1 (e).
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