Structure of variousKL1x-ray satellite lines of heavy atoms

Abstract

Multiconfiguration Dirac-Fock calculations with the inclusion of the transverse (Breit) interaction and QED corrections have been carried out for Pd, Sn, Tb, Ta, Pb, and Th in order to obtain positions and intensities of various electric dipole, electric quadrupole, and magnetic dipole $K$ x-ray diagram lines and of their $K{L}^{1}$ satellites. Theoretically constructed stick spectra have been presented together with synthesized spectra (the sum of the Lorentzian natural line shapes) for each studied element. Taking into account the existence of an $L$-shell hole in the $2s$ or $2p$ subshell, the effect of additional $L$-shell ionization on the shapes and structure of the $K$ x-ray spectra has been examined. It has been observed that generally with increasing atomic number $Z$ the shapes of particular satellite line groups tend to become smoother and to differ less from the shapes of appropriate diagram lines. Relations between the values of energy shifts of various satellite lines for each element and the changes of these relations with $Z$ have also been studied. Additionally, the relations between the intensities of different diagram lines for each element have been systematically analyzed, likewise the changes with $Z$ of the role of particular diagram lines. This study can be helpful in reliable and quantitative interpretation of many experimental $K$ x-ray spectra of Pd, Sn, Tb, Ta, Pb, and Th induced in collisions with various projectiles.