Semi-empirical description of the fine structure and the radiative parameters for atomic tin. Odd levels

Semi-empirical determination of the nuclear quadrupole moment of $$^{109}$$Sn

“…In the framework of the published paper [18], we performed large-scale semi-empirical calculations of 184 odd-parity configurations: 5s5p 3 , 5p 3 5d, 5p 3 5g, 5s5p 2 n p (n = 6-15), 5s5p 2 n f (n = 4-13), 5s5p6s 2 , 5s5p5d 2 , 5s 2 5pn s (n = 6-80), 5s 2 5pn d (n = 5-72), 5s 2 5pn g (n = 5-20). In the least-squares fitting procedure for 646 experimentally known energy levels, the mean deviation between calculated and experimental values of 11 cm −1 was achieved.…”

“…Only a small excerpt from the results is given in Table 1; the entire results of the fs calculations: the values of calculated energies of the electronic levels and the values of the fine structure radial parameters, are presented in Tables I, II, III in [18].…”

“…In 2020, we published the first comprehensive semi-empirical analysis of the odd-parity configuration system of atomic tin [18]. Due to the very good compliance between the calculated and the experimental values of the levels' energies, the obtained wave functions could be successfully used in the analysis of the data concerning radiative transitions for Sn I, available in the literature.…”

“…After application of our own method of oscillator strengths parametrization, described in works [19][20][21], the values of radiative parameters for transitions from the odd-parity levels in a wide spectral range, as well as radiative lifetimes of the excited levels, were predicted. Thus, we have an opportunity to use the latest data on the hfs splittings of Sn electronic levels [1] and our results of the semi-empirical fine-structure calculations [18] for the purpose of many-body hyperfine structure parametrization and determine an independent value of the nuclear quadrupole moment of 109 Sn.…”