Exploring the x-ray photoabsorption spectrum of sodium in the energy range 1070–1090 eV by elucidating the inner shell excitation transition probabilities

Abstract

The researchers report on a new study of the x-ray photoabsorption spectrum of sodium near the K-edge, involving the calculations of the excitation energies and the excitation transition probabilities for K-shell and M-shell electron excitations transitions in atomic sodium. The calculations were carried out by employing the ‘multi configuration Dirac–Fock method’, Breit interactions and ‘finite nuclear size corrections’ are included in the calculations, the transition probabilities were convoluted into ‘Breit–Wigner’ line shapes, and single 1s photoionization was also taken into account. In addition, the [1s]np and the [1s3s]ns n′p singlet–triplet energy splitting was calculated. Results of the calculations were compared with previous measurements of the photoabsorption spectrum of sodium near the K-edge, and a very good agreement was observed.

Single and double electron excitation transition rates and oscillator strengths calculations in the study of the x-ray absorption spectrum of Neon

“…. All transition probabilities calculated in tables 2 and 3 were convoluted into a Lorentzian line shape for the purpose of better comparison with the experimental spectrum, the convoluted Lorentzian line shape can be written in the form of [24][25][26][27]: We notice that the singlet ( P 1 1 ) is much stronger than the triplet ( P 1 3 ) with a ratio of R R 10…”

“…), if the element belongs to alkaline metals (for example) then this will be different. For example, for 1s inner shell excitation of Sodium study [24] to the 3p subshell ( s s p s p 1 2 2 3 3 2 6…”