Selective orbital imaging of excited states with x-ray spectroscopy: the example of $\alpha$-MnS
A. Amorese (1,2), B. Leedahl (1), M. Sundermann (1,2), H. Gretarsson, (1,3), Z. Hu (1), H.-J. Lin (4), C. T. Chen (4), M. Schmidt (1), H. Borrmann, (1), Yu. Grin (1), A. Severing (1,2), M. W. Haverkort (5), and L. H. Tjeng

TL;DR
This paper demonstrates that non-resonant inelastic x-ray scattering with an s core level can effectively image and identify excited states and their orbital characters in transition metal compounds, exemplified by $ extalpha$-MnS.
Contribution
It introduces a method using s core level x-ray scattering to selectively image excited states and determine their orbital character in transition metal compounds.
Findings
Successfully imaged excited states of $ extalpha$-MnS
Identified orbital characters as $t_{2g}$ and $e_g$
Measured energy splitting $10Dq$ as 0.78 eV
Abstract
Herein we show that non-resonant inelastic x-ray scattering involving an core level is a powerful spectroscopic method to characterize the excited states of transition metal compounds. The spherical charge distribution of the core hole allows the orientational dependence of the intensities of the various spectral features to produce a spatial charge image of the associated multiplet states in a straightforward manner, thereby facilitating the identification of their orbital character. In addition, the core hole does not add an extra orbital angular momentum component to the multiplet structure so that the well-established Sugano-Tanabe-Kamimura diagrams can be used for the analysis of the spectra. For -MnS we observe the spherical charge density corresponding to its high spin () ground state configuration and we were able to selectively image its…
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