Kβ X-ray emission spectra of Mn oxides (adapted from Bergmann et al. [28]). The Kβ spectra consist of two main features: the Kβ′ peak at ~6475 eV and the Kβ1,3 peak at ~6490 eV. The separation of these two features is due to the exchange interaction of the unpaired 3d electrons with the 3p hole, which is formed as a final state after the core hole is filled by a 3p→1s fluorescence transition. The spin of the unpaired 3d valence electrons can be either parallel (Kβ′) or antiparallel (Kβ1,3) to the hole in the 3p level. The splitting between the Kβ′ and Kβ1,3 peaks becomes smaller for higher oxidation states because fewer 3d electrons interact with the 3p hole. Thus, in contrast to the inflection points of the XANES edges, the Kβ1,3 peaks shift to lower energy with higher oxidation states, as is seen above with the Mn oxides. The magnitude of the Kβ1,3 peak first-moment shift for
is roughly a factor of four larger than the first-moment shift for the S1→S2 transition, where only one Mn out of four is being oxidized.