TY - JOUR KW - paper AU - Christian Vorwerk AU - Francesco Sottile AU - Claudia Draxl AB - We present a formalism for the resonant inelastic X-ray scattering (RIXS) cross section. The resulting compact expression in terms of polarizability matrix elements, particularly lends itself to the implementation in an all-electron many-body perturbation theory (MBPT) framework, which is realized in the full-potential package exciting. With the carbon K edge RIXS of diamond and the oxygen K edge RIXS of β-Ga2O3, respectively, we demonstrate the importance of electron-hole correlation and atomic coherence in the RIXS spectra. BT - Phys. Chem. Chem. Phys. DO - 10.1039/D2CP00994C N2 - We present a formalism for the resonant inelastic X-ray scattering (RIXS) cross section. The resulting compact expression in terms of polarizability matrix elements, particularly lends itself to the implementation in an all-electron many-body perturbation theory (MBPT) framework, which is realized in the full-potential package exciting. With the carbon K edge RIXS of diamond and the oxygen K edge RIXS of β-Ga2O3, respectively, we demonstrate the importance of electron-hole correlation and atomic coherence in the RIXS spectra. PB - The Royal Society of Chemistry PY - 2022 SP - 17439 EP - 17448 T2 - Phys. Chem. Chem. Phys. TI - All-electron many-body approach to resonant inelastic X-ray scattering UR - http://dx.doi.org/10.1039/D2CP00994C VL - 24 ER -