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Abstract
Resonant inelastic x-ray scattering (RIXS) is a widely used spectroscopic technique, providing access to the electronic structure and dynamics of atoms, molecules, and solids. However, RIXS requires a narrow bandwidth x-ray probe to achieve high spectral resolution. The challenges in delivering an energetic monochromated beam from an x-ray free electron laser (XFEL) thus limit its use in few-shot experiments, including for the study of high energy density systems. Here we demonstrate that by correlating the measurements of the self-amplified spontaneous emission (SASE) spectrum of an XFEL with the RIXS signal, using a dynamic kernel deconvolution with a neural surrogate, we can achieve electronic structure resolutions substantially higher than those normally afforded by the bandwidth of the incoming x-ray beam. We further show how this technique allows us to discriminate between the valence structures of Fe and Fe2O3, and provides access to temperature measurements as well as M-shell binding energies estimates in warm-dense Fe compounds.
The authors combine differentiable physics modelling and neural networks to extract high-resolution electronic density of states of warm dense materials from resonant inelastic x-ray scattering spectra. With this approach, they identify distinctive features in the valence structures of warm dense Fe and Fe2O3, also estimating their temperature and M-shell binding energies.
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1 University of Oxford, Department of Physics, Clarendon Laboratory, Oxford, UK (GRID:grid.4991.5) (ISNI:0000 0004 1936 8948)
2 Center for Advanced Systems Understanding (CASUS), Görlitz, Germany (GRID:grid.510908.5); Helmholtz-Zentrum Dresden-Rossendorf (HZDR), Dresden, Germany (GRID:grid.40602.30) (ISNI:0000 0001 2158 0612)
3 European XFEL, Schenefeld, Germany (GRID:grid.434729.f) (ISNI:0000 0004 0590 2900)
4 University of Rochester, Laboratory for Laser Energetics, Rochester, USA (GRID:grid.16416.34) (ISNI:0000 0004 1936 9174)
5 University of Rochester, Laboratory for Laser Energetics, Rochester, USA (GRID:grid.16416.34) (ISNI:0000 0004 1936 9174); University of Rochester, Department of Physics and Astronomy, Rochester, USA (GRID:grid.16416.34) (ISNI:0000 0004 1936 9174)
6 Helmholtz-Zentrum Dresden-Rossendorf (HZDR), Dresden, Germany (GRID:grid.40602.30) (ISNI:0000 0001 2158 0612)
7 Osaka University, Graduate School of Engineering, Suita, Japan (GRID:grid.136593.b) (ISNI:0000 0004 0373 3971); IRD, Sorbonne Université, Institut de Minéralogie, de Physique des Matériaux et de Cosmochimie, IMPMC, Museum National dH´istoire Naturelle, UMR CNRS 7590, Paris, France (GRID:grid.4399.7) (ISNI:0000000122879528)
8 Aldermaston, AWE, Reading, UK (GRID:grid.63833.3d) (ISNI:0000000406437510)
9 IRD, Sorbonne Université, Institut de Minéralogie, de Physique des Matériaux et de Cosmochimie, IMPMC, Museum National dH´istoire Naturelle, UMR CNRS 7590, Paris, France (GRID:grid.4399.7) (ISNI:0000000122879528)
10 University of Rochester, Laboratory for Laser Energetics, Rochester, USA (GRID:grid.16416.34) (ISNI:0000 0004 1936 9174); University of Rochester, Department of Physics and Astronomy, Rochester, USA (GRID:grid.16416.34) (ISNI:0000 0004 1936 9174); University of Rochester, Department of Mechanical Engineering, Rochester, USA (GRID:grid.16416.34) (ISNI:0000 0004 1936 9174)
11 University of Rochester, Laboratory for Laser Energetics, Rochester, USA (GRID:grid.16416.34) (ISNI:0000 0004 1936 9174); University of Rochester, Department of Mechanical Engineering, Rochester, USA (GRID:grid.16416.34) (ISNI:0000 0004 1936 9174)
12 University of Oxford, Department of Physics, Clarendon Laboratory, Oxford, UK (GRID:grid.4991.5) (ISNI:0000 0004 1936 8948); STFC Rutherford Appleton Laboratory, Central Laser Facility, Didcot, UK (GRID:grid.76978.37) (ISNI:0000 0001 2296 6998)