Relativistic calculation of Kα hypersatellite line energies and transition probabilities for selected atoms with 12 ⩽Z⩽ 80

Abstract

The transition probabilities of Kα hypersatellite lines and energy shifts with respect to the corresponding diagram lines are computed using the Dirac–Fock model for several values of atomic number Z throughout the periodic table. The influence of the Breit interaction on the Kα1h/Kα2h line intensity ratio, Kα1h and Kα2h line energy shifts and Kα1h to Kα2h line energy splitting is evaluated. Double-K shell hole threshold values for selected elements with 23 ⩽Z⩽ 30, calculated within the same approach, are compared with available experimental results.

Photoinduced K-shell hollow atoms

“…This effect is interpreted as being due to the interaction between the hole in the 2p level and the 3p electrons that opens several decay channels and leads to an increase of the I K˛h 1 /I K˛h 2 intensity ratio. For Ca and Sc our data compare well within the experimental uncertainties with theory [51], but in the case of V the calculations overestimate our result. The present ratio for V, however, agrees very closely with the experimental and the relativistic MCDF-calculated values reported by Diamant et al [59].…”

“…The I K˛h 1 /I K˛h 2 intensity ratios are listed in Table 3. For Si, the experimental ratio was found to be in excellent agreement with the MCDF theoretical predictions of Costa et al [51] that include both the Breit and QED contributions. Indeed, these calculations predict that for elements Z < 18 the intensity ratio of the hypersatellite lines does not follow the same regular trend as that observed for Z ≥ 18, but peaks at Z = 15.…”

“…Although for Mg and Al the K˛h 1 X-ray transition was much too weak to be observed, it was measured for the first time for Si. The obtained E K˛h 1 and K˛h 2 hypersatellite and E K˛˛h 2 TEOP energies are summarized in Table 2 and compared to the few existing data and the most recent theoretical calculations from Martins et al [52], Costa et al [51], Natarajan [53] and Saha et al [56]. The energies of the K˛h 2 and K˛˛h 2 transitions for lower Z elements are in good to very good agreement within the experimental uncertainties with different theoretical predictions.…”

“…(6) and theoretical predictions of Polasik et al [60]. On the right y-axis shown are the theoretical total level widths KK of Chen [36] and Costa et al [51]. The K and L 2 correspond, respectively, to the level widths K and L2 recommended by Campbell and Papp [61].…”

“…Since Costa et al [51] present energy shifts relative to the corresponding diagram lines, the listed K˛h 1 and K˛h 2 transition energies were calculated using the recommended values of Deslattes et al [35] for the K˛1 and K˛2 lines. The notation 1367.86(9/6) means 1367.86 ± 0.09 eV with an included statistical error from the fit of 0.06 eV.…”