Radiative Decay Rates for Electric Dipole, Magnetic Dipole and Electric Quadrupole Transitions in Triply Ionized Thulium (Tm IV)

Abstract

Abstract:A new set of radiative decay parameters (oscillator strengths, transition probabilities) for spectral lines in triply ionized thulium (Tm IV) has been obtained within the framework of the pseudo-relativistic Hartree-Fock (HFR) approach. The effects of configuration interaction and core-polarization have been investigated in detail and the quality of the results has been assessed through a comparison between different HFR physical models. The spectroscopic data listed in the present paper cover electric dipole as well as magnetic dipole and electric quadrupole transitions in a wide range of wavelengths from extreme ultraviolet to near infrared.

Parametric Calculations of Radiative Decay Rates for Magnetic Dipole and Electric Quadrupole Transitions in Tm IV, Yb V, and Er IV

“…Furthermore, the results are compared with ab initio results by Dodson and Zia [19]. The cases of Tm IV and Yb V are also studied for a comparison of our results to the previous results obtained by more sophisticated semi-empirical methods respectively, in Enzonga Yoca and Quinet [20] and Li et al [21].…”

“…The reliability of our results was checked by comparison with available results from other calculations, either ab initio or semi-empirical. In the following, the results of Tm IV were compared with ab initio results by Dodson and Zia [19] and semi-empirical ones from Enzonga Yoca and Quinet [20]. Results on Yb V were compared with semi-empirical ones from Li et al [21].…”

“…Table 2 shows the comparison between different calculations of the M1 and E2 transition probabilities. Following the presentation of [20] where the authors listed the transition probabilities gA that were greater than 0.01 s −1 for M1 and E2 decays within the 4f 12 ground-state configuration, and compared them to the ab initio calculations by Dodson and Zia [19], we listed the corresponding results from the present work. The first column displays the predicted Ritz wavelengths λ Ritz_Exp of the M1 and E2 lines derived from experimental level energies [11].…”

“…The corresponding wavelengths are respectively listed in col. 11 and col. 12 of Table 2. As for the gA values of Enzonga Yoca and Quinet (col. 5) [20], we used the λ Ritz_Exp for conversion in the absence of indications on the authors' wavelengths. This is reasonable, since, as already mentioned, λ Ritz_Fit were very close to λ Ritz_Exp , and the factors (λ Ritz_fit /λ Ritz_exp ) 3 or (λ Ritz_fit /λ Ritz_Exp ) 5 would produce changes of less than 3%.…”

“…Semi-empirical calculations are possible when experimental level energies are available. Enzonga Yoca and Quinet [20] introduced the experimental level energies from Meftah et al [11] into semi-empirical calculations for Tm IV, and reported the radiative decay rates for E1, M1, and E2 transitions obtained by the pseudo-relativistic Hartree-Fock (HFR) approach, including configuration interactions and core-polarization effects. Li et al [21] reported semi-empirical radiative rates for M1 and E2 transitions of Ba-like ions within the 4f 2 configuration, and also of Yb V within the 4f 12 configuration.…”