Kβ resonant x-ray emission spectra inMnF2

Abstract

We report experimental and theoretical results on Mn $K\ensuremath{\beta}$ resonant x-ray emission spectra $(K\ensuremath{\beta}$ RXES) at the pre-edge region of K-edge x-ray absorption spectroscopy in a powdered ${\mathrm{MnF}}_{2}$ sample. The experimental results are studied theoretically in terms of coherent second-order optical process, using a ${\mathrm{MnF}}_{6}^{\ensuremath{-}4}$ cluster model with the effects of intra-atomic multiplet coupling and interatomic hybridization in the space of three configurations and taking into account both the Mn $1s\ensuremath{-}3d$ quadrupole excitation and the Mn $1s\ensuremath{-}4p$ dipole excitation. The agreement between theory and experiment is good. Moreover, we show that if the sample is a single crystal the resonant x-ray emission spectroscopy caused by the quadrupole excitation has a strong sensitivity to the angle of the incident photon.