2p$_{3/2}^{-1}$3x$^{-1}$-3x$^{-1}$4d$^{-1}$ X-Ray Satellites spectra in the L$\beta _{2 }$region

The X-ray satellite spectra arising due to 2p$_{3/2}^{-1}$3x$^{-1}$-3x$^{-1}$4d$^{-1}$ (x $\equiv $ s, p, d) transition array, in elements with Z = 42 to 90, have been calculated. While the energies of various transitions of the array have been determined by using available Hartree-Fock-Slater data on 1s$^{-1}$-2p$^{-1}$3x$^{-1}$ and 2p$_{3/2}^{-1}$-3x$^{-1}$,3x'$^{-1}$ Auger transition energies, their relative intensities have been estimated by considering cross sections of singly ionized 2x$^{-1}$ (x $\equiv $ s, p) states and then of subsequent Coster-Kronig and shake off processes. The calculated spectra have been compared with the measured satellite energies in L$\beta _{2}$ spectra. Their intense peaks have been identified as the observed satellite lines. It has been established that four satellites observed in the L$\beta _{2 }$region of the X-ray spectra of various elements and named $\beta _{2}^{I}$, $\beta _{2}^{(b)}$, $\beta _{2}^{II}$ and $\beta _{2}^{(c)}$ in order of increasing energy are mainly emitted by 2p$_{3/2}^{-1}$3d$^{-1}$-4d$^{-2}$ transitions. In the present study, we report the transition assignments to the satellites $\beta _{2}^{I}$, $\beta _{2}^{(b)}$, $\beta _{2}^{II}$ and $\beta _{2}^{(c)}$ reported in the spectra of elements with Z = 42 to 52 and the satellites named $\beta _{2}^{I}$ and $\beta _{2}^{II}$ in the L - emission spectra of the elements of $_{74}$W to $_{90}$Th. It is observed that out of these four satellites, $\beta _{2}^{(b)}$ can be assigned to superposition of $^{3}$F$_{4}-^{3}$G$_{5}$ and $^{3}$F$_{4}-^{3}$D$_{3}$ transitions and that this must be the most intense of all these satellites in the elements Z = 42-50. In the range of elements Z = 52 to 77, the satellite $\beta _{2}^{I}$ is emitted by these transitions.