An
extensive experimental and theoretical study of the Kα
and Kβ high-resolution X-ray emission spectroscopy (XES) of
sulfur-bearing systems is presented. This study encompasses a wide
range of organic and inorganic compounds, including numerous experimental
spectra from both prior published work and new measurements. Employing
a linear-response time-dependent density functional theory (LR-TDDFT)
approach, strong quantitative agreement is found in the calculation
of energy shifts of the core-to-core Kα as well as the full
range of spectral features in the valence-to-core Kβ spectrum.
The ability to accurately calculate the sulfur Kα energy shift
supports the use of sulfur Kα XES as a bulk-sensitive tool for
assessing sulfur speciation. The fine structure of the sulfur Kβ
spectrum, in conjunction with the theoretical results, is shown to
be sensitive to the local electronic structure including effects of
symmetry, ligand type and number, and, in the case of organosulfur
compounds, to the nature of the bonded organic moiety. This agreement
between theory and experiment, augmented by the potential for high-access
XES measurements with the latest generation of laboratory-based spectrometers,
demonstrates the possibility of broad analytical use of XES for sulfur
and nearby third-row elements. The effective solution of the forward
problem, i.e., successful prediction of detailed spectra from known
molecular structure, also suggests future use of supervised machine
learning approaches to experimental inference, as has seen recent
interest for interpretation of X-ray absorption near-edge structure
(XANES).