Machine learning-accelerated density functional theory optimization of PtPd-based high-entropy alloys for hydrogen evolution catalysis
Patcharaporn Khajondetchairit , Siriwimol Somdee , Tinnakorn Saelee , Annop Ektarawong , Björn Alling , Piyasan Praserthdam , Meena Rittiruam , Supareak Praserthdam
International Journal of Minerals, Metallurgy, and Materials ›› 2025, Vol. 32 ›› Issue (11) : 2777 -2785.
Machine learning-accelerated density functional theory optimization of PtPd-based high-entropy alloys for hydrogen evolution catalysis
High-entropy alloys (HEAs) have emerged as promising catalysts for the hydrogen evolution reaction (HER) due to their compositional diversity and synergistic effects. In this study, machine learning-accelerated density functional theory (DFT) calculations were employed to assess the catalytic performance of PtPd-based HEAs with the formula PtPdXYZ (X, Y, Z = Fe, Co, Ni, Cu, Ru, Rh, Ag, Au; X ≠ Y ≠ Z). Among 56 screened HEA(111) surfaces, PtPdRuCoNi(111) was identified as the most promising, with adsorption energies (Eads) between −0.50 and −0.60 eV and high d-band center of −1.85 eV, indicating enhanced activity. This surface showed the hydrogen adsorption free energy (ΔGH*) of −0.03 eV for hydrogen adsorption, outperforming Pt(111) by achieving a better balance between adsorption and desorption. Machine learning models, particularly extreme gradient boosting regression (XGBR), significantly reduced computational costs while maintaining high accuracy (root-mean-square error, RMSE = 0.128 eV). These results demonstrate the potential of HEAs for efficient and sustainable hydrogen production.
catalyst screening / supervised regression model / multi-element alloys / hydrogen evolution reaction
| [1] |
|
| [2] |
|
| [3] |
M.M. Geng, Y.J. Zhu, J.B. Guan, et al., Carbothermal shock synthesis of FeCoNiPtRu high-entropy alloy for dual-function water splitting in alkaline media, J. Alloy. Compd., 1005(2024), art. No. 176180. |
| [4] |
T.B. Ferriday, P.H. Middleton, and M.L. Kolhe, Review of the hydrogen evolution reaction—A basic approach, Energies, 14(2021), No. 24, art. No. 8535. |
| [5] |
S.S. Jiang, Q. Li, Q. Zhao, L. Cheng, and T.S. Jiang, A hierarchical core–shell CuO@FeCoP/CF heterostructure for efficient overall water splitting in alkaline media, J. Alloy. Compd., 1010(2025), art. No. 177291. |
| [6] |
|
| [7] |
|
| [8] |
|
| [9] |
|
| [10] |
|
| [11] |
X.P. Han, X.Y. Wu, Y.D. Deng, et al., Electrocatalysis: Ultrafine Pt nanoparticle-decorated pyrite-type CoS2 nanosheet arrays coated on carbon cloth as a bifunctional electrode for overall water splitting, Adv. Energy Mater., 8(2018), No. 24, art. No. 1870110. |
| [12] |
|
| [13] |
|
| [14] |
J. Ma, X. Wang, H. Li, D.C. Yang, J.H. Fan, and Y.T. Liu, Boosting photocatalytic overall water splitting performance by dual-metallic single Ni and Pd atoms decoration of MoS2: A DFT study, J. Alloy. Compd., 991(2024), art. No. 174530. |
| [15] |
|
| [16] |
|
| [17] |
|
| [18] |
F.C. Østergaard, F. Abild-Pedersen, and J. Rossmeisl, Coverage, repulsion, and reactivity of hydrogen on high-entropy alloys, J. Catal., 435(2024), art. No. 115570. |
| [19] |
|
| [20] |
|
| [21] |
|
| [22] |
M. Rittiruam, S. Setasuban, J. Noppakhun, et al., First-principles density functional theory and machine learning technique for the prediction of water adsorption site on PtPd-based high-entropy-alloy catalysts, Adv. Theory Simul., 6(2023), No. 4, art. No. 2370008. |
| [23] |
C. Wangphon, T. Saelee, M. Rittiruam, et al., How can the pt-pd-based high-entropy alloy triumphs conventional twc catalyst during the no reduction? A density functional theory study, Adv. Theory Simul., 7(2024), No. 1, art. No. 2300616. |
| [24] |
|
| [25] |
|
| [26] |
|
| [27] |
|
| [28] |
S. Grimme, J. Antony, S. Ehrlich, and H. Krieg, A consistent and accurate ab initio parametrization of density functional dispersion correction (DFT-D) for the 94 elements H-Pu, J. Chem. Phys., 132(2010), No. 15, art. No. 154104. |
| [29] |
|
| [30] |
|
| [31] |
|
| [32] |
|
| [33] |
C.D. Vurdu, The adsorption and diffusion manners of hydrogen atoms on Pt (100), Pt (110), and Pt (111) surfaces, Adv. Condens. Matter Phys., 2018(2018), art. No. 4186968. |
| [34] |
|
| [35] |
|
| [36] |
|
| [37] |
|
| [38] |
|
| [39] |
|
| [40] |
J.K. Noerskov, T. Bligaard, A. Logadottir, et al., Trends in the exchange current for hydrogen evolution, ChemInform, 36(2005), No. 24, art. No. 200524023. |
| [41] |
M. Rittiruam, P. Khamloet, P. Tantitumrongwut, et al., First-principles active-site model design for high-entropy-alloy catalyst screening: The impact of host element selection on catalytic properties, Adv. Theory Simul., 6(2023), No. 11, art. No. 2300327. |
| [42] |
|
| [43] |
T. Saelee, S. Boonchuay, A. Sriwattana, et al., On the enhanced performance of Pt-based high-entropy alloys catalyst during water–gas shift reaction: A density functional theory study, Appl. Surf. Sci., 623(2023), art. No. 157023. |
| [44] |
|
| [45] |
P. Xiao, W. Chen, and X. Wang, A review of phosphide-based materials for electrocatalytic hydrogen evolution, Adv. Energy Mater., 5(2015), No. 24, art. No. 1500985. |
University of Science and Technology Beijing
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