X-ray absorption and resonant inelastic x-ray scattering in the rare earths
Michel van Veenendaal, Robert Benoist (European Synchrotron, Radiation Facility, Grenoble, France)

TL;DR
This paper compares x-ray absorption and resonant inelastic x-ray scattering in rare earths, providing atomic calculations and discussing sum rules, to enhance understanding of electronic transitions and decay processes.
Contribution
It offers detailed atomic calculations for 2p -> 4f and 2p -> 5d XAS, including orbital contraction effects, and compares RIXS spectra with XAS, discussing their sum rules and applicability.
Findings
Calculated 2p -> 4f and 2p -> 5d XAS including orbital effects
Compared RIXS spectra with 3d -> 4f XAS data
Discussed the applicability of sum rules in XAS and RIXS
Abstract
This paper makes a comparison between x-ray absorption (XAS) and resonant inelastic x-ray scattering (RIXS) in the rare earths. Atomic calculations are given for 2p -> 4f and 2p -> 5d XAS. The latter calculation includes the contraction and expansion of the 5d orbitals resulting from the complete exchange interaction with the 4f electrons. The radiative decay of the XAS final states is described for the situations where the core hole created in the absorption process is filled by a valence electron or by an electron from a shallower core level. RIXS spectra, 4f^n -> _{3d} 4f^{n+1} -> 4f^n,integrated over the outgoing photon energy (fluorescence yield) are compared with 3d -> 4f XAS. Sum rules related to XAS and RIXS and their applicability are discussed.
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