We report experimental and theoretical results on Mn $K\beta$ resonant x-ray emission spectra $(K\beta$ 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 ${\mathrm{MnF}}_6^{-4}$ 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 $1s-3d$ quadrupole excitation and the Mn $1s-4p$ 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.

• Received 20 May 1999

DOI:https://doi.org/10.1103/PhysRevB.61.2553