Theoretical predictions of the shapes and parameters of $\gamma _{1}\prime$ satellites L-X-Ray lines of 4d transition elements

The X-ray satellite spectra arising due to 2p$_{1/2}^{-1}$3x$^{-1}$-3x$^{-1}$4d$_{3/2,5/2}^{-1}$ (x $\equiv $ s, p, d), i.e. L$_{2}$M$_{x}$-M$_{x}$N$_{4,5}$ transition array, in elements with Z = 41 to 51, have been calculated, using available Hartree-Fock-Slater data on K-L$_{2}$M$_{x}$ and L-M$_{x}$N$_{4,5}$ Auger transition energies. The relative intensities of all the possible transitions have been estimated by considering cross - sections for the Auger transitions simultaneous to a hole creation and then distributing statistically the total cross sections for initial two hole states L$_{2}$M$_{x}$ amongst various allowed transitions from these initial states to M$_{x}$N$_{4,5}$ final states by Coster-Kronig (CK) and shake off processes. In both these processes initial single hole creation is the prime phenomenon and electron bombardment has been the primary source of energy. On the basis of agreement between computed spectra and measured satellites, It is observed that the satellite L$\gamma _{1}\prime _{ }$in $_{41}$Nb to $_{51}$Sb is emitted by the superposition of the most intense transitions namely L$_{2}$M$_{1}$ $^{1}$P$_{1}$-M$_{1}$N$_{4} \quad ^{1}$D$_{2}$, L$_{2}$M$_{1}$ $^{3}$P$_{0}$-M$_{1}$N$_{4} \quad ^{3}$D$_{1}$,L$_{2}$M$_{3}$ $^{3}$D$_{1}$-M$_{3}$N$_{5} \quad ^{3}$D$_{1}$ and L$_{2}$M$_{3}$ $^{3}$D$_{1}$-M$_{3}$N$_{4} \quad ^{3}$P$_{0}$ contributing in order of decreasing intensity.