Abstract
The resonant inelastic x-ray scattering (RIXS) spectrum is uniquely related to the x-ray absorption oscillator strength distribution by the Kramers-Heisenberg equation via lifetime widths of the states involved. In this work it is shown that x-ray absorption near-edge structure (XANES), where the lifetime broadening of $1s$ core holes is suppressed and that of the $2p$ hole determines the resolution, can be analytically deduced from RIXS spectra. Furthermore, it is demonstrated that numerical procedures can provide lifetime-broadening-free (LBF) XANES, where the remaining $2p$ broadening is also eliminated. As examples, lifetime-broadening-suppressed (LBS) XANES and LBF-XANES of CuO and ${\mathrm{CuCl}}_{2}\ensuremath{\cdot}2{\mathrm{H}}_{2}\mathrm{O}$ are derived from RIXS spectra measured by the use of a third-generation synchrotron source SPring-8 and are compared with XANES obtained by other methods to discuss the significance of LBS and LBF XANES spectroscopy.
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