L$\beta$ $_{2 }$ satellites in the X-ray emission spectra of 5d transition elements

The X-ray satellite spectra arising due to L$_{3}$M$_{x}-$M$_{x}$N$_{4,5}$ (x $\equiv $ 1-5) transition array, in elements with Z = 74 to 90, have been calculated. The energies of various transitions of the array have been determined by using available HFS data on K-LM and L-MN Auger transition energies, their relative intensities have been estimated by considering cross sections of singly ionized L$_{3}$M$_{x}$ (x $\equiv $ 4, 5) states and then of subsequent Coster-Kronig (CK) and shake off processes. The calculated spectra have been compared with the measured satellite energies in L$\beta _{2}$ spectra. The peaks in the theoretical spectra were compared with the available measured L$\beta _{2}$ satellite spectra. The peaks in the theoretical satellite spectra were identified as the experimentally reported satellites $\beta _{2}^{I}$ and $\beta _{2}^{II}$, which lie on the high-energy side of the L$\beta _{2}$ dipole line.