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Updated: Feb 21, 2026

Structural Studies of Macromolecules in Solution using Small Angle X-Ray Scattering
Published on: November 5, 2018
DeepFit: Physically and Chemically Informed XAS-Structure Fitting Made Simple
Kirill Kulaev1, Bogdan Protsenko1, Weiren Cheng2
1The Smart Materials Research Institute, Southern Federal University, Rostov-on-Don 344090, Russian Federation.
None:
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.
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