journal article·2026-04-09

DeepFit: Physically and Chemically Informed XAS-Structure Fitting Made Simple

Kirill Kulaev, Bogdan Protsenko, Weiren Cheng, Qinghua Liu, Dmitry Gorbunov, Mikhail Lifar, Valery Vlasenko, Anatolii Burlov, Sergey Guda, Alexander Guda, Mikhail Soldatov, Alexander Soldatov

Publisher page

Abstract

X-ray absorption spectroscopy (XAS) reveals local structures in catalysts and materials under operando conditions but faces ill-posed challenges, with high computational costs and ambiguous solutions. DeepFit pioneers a universal deep learning remedy, deploying a differentiable minimization of both a spectral mismatch and quantum-chemical energy. The model is based on an E(3)-equivariant neural network trained on the original database of 67,000 theoretical K-edge spectra from diverse 3d/4d transition metal complexes. The approach ensures physically equivariant and chemically plausible refinement of 3D structure and is validated on the experimental case studies for homogeneous catalysts. The benchmark for the series of 3d compounds shows agreement of DeepFit refined bond lengths with respect to XRD/EXAFS (MAE 0.06 Å) and 0.73 ROC-AUC selectivity over local motifs. By merging machine learning spectra approximation and quantum chemical constraints, DeepFit transforms quantitative XAS analysis toward a black-box, routine tool.
Source: europepmc · Quality: candidate unverified · Source record ↗

Research context

OpenAlex topics: Machine Learning in Materials Science · X-ray Diffraction in Crystallography · CO2 Reduction Techniques and Catalysts

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

The Smart Materials Research Institute

Southern Federal University

School of Chemistry and Material Sciences

University of Science and Technology of China

National Synchrotron Radiation Laboratory

Department of Chemistry

Lomonosov Moscow State University

Research Institute of Physics

Institute of Physical and Organic Chemistry

Institute of Mathematics, Mechanics and Computer Science named after I.I. Vorovich

Funding

Russian Science Foundation · National Natural Science Foundation of China · Chinese Academy of Sciences · Academic Leadership Program of the Southern Federal University

References (93)

Show source-provided references
1. 10.1021/acscatal.2c0101610.1021/acscatal.2c01016 ↗
2. 10.1134/S207997801504003210.1134/S2079978015040032 ↗
3. 10.1107/S090904950502026110.1107/S0909049505020261 ↗
4. 10.1063/1.499892910.1063/1.4998929 ↗
5. 10.1039/C9RE00493A10.1039/C9RE00493A ↗
6. 10.1021/jacs.0c0423110.1021/jacs.0c04231 ↗
7. 10.1021/ja00110a01210.1021/ja00110a012 ↗
8. 10.1016/j.trechm.2021.07.00310.1016/j.trechm.2021.07.003 ↗
9. 10.1039/D1CP05513E10.1039/D1CP05513E ↗
10. 10.1016/j.matpr.2020.11.53010.1016/j.matpr.2020.11.530 ↗
11. 10.1016/j.cattod.2016.05.04910.1016/j.cattod.2016.05.049 ↗
12. 10.1016/S0168-9002(99)00710-X10.1016/S0168-9002(99)00710-X ↗
13. 10.1016/j.cpc.2021.10799210.1016/j.cpc.2021.107992 ↗
14. 10.1016/j.commatsci.2006.08.00710.1016/j.commatsci.2006.08.007 ↗
15. 10.1016/j.cpc.2019.10706410.1016/j.cpc.2019.107064 ↗
16. 10.1016/j.cattod.2018.10.07110.1016/j.cattod.2018.10.071 ↗
17. 10.2138/am-2001-5-61210.2138/am-2001-5-612 ↗
18. 10.1016/j.patter.2020.10001310.1016/j.patter.2020.100013 ↗
19. 10.1039/C9ME00043G10.1039/C9ME00043G ↗
20. 10.1103/PhysRevMaterials.3.03360410.1103/PhysRevMaterials.3.033604 ↗
21. 10.1021/acs.jpclett.7b0236410.1021/acs.jpclett.7b02364 ↗
22. 10.1021/acs.nanolett.8b0446110.1021/acs.nanolett.8b04461 ↗
23. 10.1107/S160057751600119310.1107/S1600577516001193 ↗
24. 10.1107/S160057752100861410.1107/S1600577521008614 ↗
25. 10.1063/5.023333910.1063/5.0233339 ↗
26. 10.1103/PhysRevLett.124.15640110.1103/PhysRevLett.124.156401 ↗
27. Rankine, C.; Penfold, T. Accurate, Affordable, and Generalisable Machine Learning Simulations of Transition Metal X-ray Absorption Spectra using the XANESNET Deep Neural Network. 2022.10.26434/chemrxiv-2022-c5xgb ↗
28. 10.1103/PhysRevMaterials.6.11560110.1103/PhysRevMaterials.6.115601 ↗
29. 10.1103/xz7f-srky10.1103/xz7f-srky ↗
30. 10.1103/PhysRevMaterials.9.04380310.1103/PhysRevMaterials.9.043803 ↗
31. Wang, Y.; Wang, P.; Wei, L.; Ma, L.; Lin, Y.; Liu, Q.; Ling, H. Spectra-to-Structure and Structure-to-Spectra Inference Across the Periodic Table . 2025; https://arxiv.org/abs/2506.11908, Accessed 2026–02–02.
32. 10.1038/sdata.2018.15110.1038/sdata.2018.151 ↗
33. 10.33889/PMSL.2022.1.1.00410.33889/PMSL.2022.1.1.004 ↗
34. 10.1021/acs.jctc.0c0108210.1021/acs.jctc.0c01082 ↗
35. 10.1107/S160057752400675110.1107/S1600577524006751 ↗
36. 10.1021/acs.jpcc.4c0846810.1021/acs.jpcc.4c08468 ↗
37. 10.1080/27660400.2023.219751810.1080/27660400.2023.2197518 ↗
38. 10.1038/s44160-024-00545-110.1038/s44160-024-00545-1 ↗
39. 10.1038/s41467-025-56102-710.1038/s41467-025-56102-7 ↗
40. 10.1038/s41467-022-35736-x10.1038/s41467-022-35736-x ↗
41. 10.1021/jacs.2c1034510.1021/jacs.2c10345 ↗
42. 10.1021/jacs.2c1234410.1021/jacs.2c12344 ↗
43. 10.1038/s41563-022-01252-y10.1038/s41563-022-01252-y ↗
44. 10.1038/s41560-017-0078-810.1038/s41560-017-0078-8 ↗
45. 10.1016/j.apcatb.2017.11.00410.1016/j.apcatb.2017.11.004 ↗
46. 10.1039/b913558h10.1039/b913558h ↗
47. 10.1002/chem.20130420110.1002/chem.201304201 ↗
48. 10.1021/jacs.4c1060410.1021/jacs.4c10604 ↗
49. 10.1016/j.radphyschem.2023.11119910.1016/j.radphyschem.2023.111199 ↗
50. 10.1021/acs.iecr.4c0148710.1021/acs.iecr.4c01487 ↗
51. 10.1021/jacs.0c1079110.1021/jacs.0c10791 ↗
52. 10.1038/s41467-022-29939-510.1038/s41467-022-29939-5 ↗
53. 10.1021/acs.jcim.0c0104110.1021/acs.jcim.0c01041 ↗
54. 10.1021/acs.jctc.8b0117610.1021/acs.jctc.8b01176 ↗
55. 10.1039/b926434e10.1039/b926434e ↗
56. 10.1038/s41524-021-00664-910.1038/s41524-021-00664-9 ↗
57. 10.1021/acs.jctc.5b0032710.1021/acs.jctc.5b00327 ↗
58. 10.1107/S160057752400209110.1107/S1600577524002091 ↗
59. 10.1063/5.004002110.1063/5.0040021 ↗
60. 10.1002/wcms.8110.1002/wcms.81 ↗
61. 10.1016/j.nima.2008.12.16710.1016/j.nima.2008.12.167 ↗
62. 10.1016/j.mcat.2021.11201010.1016/j.mcat.2021.112010 ↗
63. 10.1039/D5CP01410G10.1039/D5CP01410G ↗
64. 10.1107/S090904950501271910.1107/S0909049505012719 ↗
65. 10.1107/S090904950403419310.1107/S0909049504034193 ↗
66. 10.1103/PhysRevB.47.1412610.1103/PhysRevB.47.14126 ↗
67. 10.1002/aoc.737510.1002/aoc.7375 ↗
68. 10.1134/S002247662208009110.1134/S0022476622080091 ↗
69. 10.1016/j.molstruc.2021.13137010.1016/j.molstruc.2021.131370 ↗
70. 10.1016/j.ica.2021.12040810.1016/j.ica.2021.120408 ↗
71. 10.1016/j.ica.2024.12227210.1016/j.ica.2024.122272 ↗
72. 10.31857/S0132344X2260021710.31857/S0132344X22600217 ↗
73. 10.1134/S002247662410009310.1134/S0022476624100093 ↗
74. 10.3390/ijms23231525910.3390/ijms232315259 ↗
75. 10.3390/ma1702043810.3390/ma17020438 ↗
76. Geiger, M.; Smidt, T. e3nn: Euclidean Neural Networks . 2022; https://arxiv.org/abs/2207.09453, Accessed 2026–02–02.
77. Kingma, D. P.; Ba, J. Adam: A Method for Stochastic Optimization . 2014; https://arxiv.org/abs/1412.6980, Accessed 2026–02–02.
78. 10.1039/D4SC02907K10.1039/D4SC02907K ↗
79. 10.1038/s41467-019-09188-910.1038/s41467-019-09188-9 ↗
80. 10.1016/j.jcat.2023.11519410.1016/j.jcat.2023.115194 ↗
81. 10.1002/anie.20100132710.1002/anie.201001327 ↗
82. 10.1002/anie.20090362010.1002/anie.200903620 ↗
83. 10.1002/anie.20110894610.1002/anie.201108946 ↗
84. 10.1039/c3990000016510.1039/c39900000165 ↗
85. 10.1002/cctc.20240167710.1002/cctc.202401677 ↗
86. 10.1073/pnas.190077811610.1073/pnas.1900778116 ↗
87. 10.1021/ja00044a03510.1021/ja00044a035 ↗
88. 10.1038/342260a010.1038/342260a0 ↗
89. 10.1039/D3CY01692G10.1039/D3CY01692G ↗
90. 10.1016/j.commatsci.2006.08.00710.1016/j.commatsci.2006.08.007 ↗
91. Timoshenko, J. REVERSE MONTE CARLO MODELLING OF STRUCTURAL AND THERMAL DISORDER IN CRYSTALLINE MATERIALS . 2015; http://rgdoi.net/10.13140/RG.2.1.1902.7684.
92. 10.1016/j.apsusc.2021.14905910.1016/j.apsusc.2021.149059 ↗
93. Deng, B. Materials Project Trajectory (MPtrj) Dataset. 2023; https://figshare.com/articles/dataset/Materials_Project_Trjectory_MPtrj_Dataset/23713842.