Full hyperfine structure analysis of singly ionized molybdenum

Semi-empirical calculations of radiative decay rates in Mo II. A comparison between oscillator strength parametrization and core-polarization-corrected relativistic Hartree-Fock approaches

“…As the physical model considered in the latter method was exactly the same as the one described in our recent study of singly ionized molybdenum [10,11] , the details will not be repeated here. Let us just remind that, in these works, the configurations 4d 5 , 4d 4 5s, 4d 4 6s, 4d 4 5d, 4d 3 5s 2 , 4d 3 5p 2 , 4d 3 5d 2 , 4d 3 5s5d (even parity) and 4d 4 5p, 4d 4 6p, 4d 4 4f, 4d 4 5f, 4d 3 5s5p, 4d 3 5p5d (odd parity) were included in the calculations with the dipole polarizability α d = 5.67 a 0 3 [20] and the cut off radius r c = 1.73 a 0 as core-polarization parameters. This model was then combined with a semi-empirical adjustment of the radial parameters using the experimental energy levels published by Nilsson and Pickering [4] , allowing us to optimize the average energies, the electrostatic interaction integrals and the spin-orbit parameters of 4d 5 , 4d 4 5s, 4d 4 6s, As seen from Table 3 , the OSP results are in very good agreement with the experimental oscillator strengths, the average ratio gf OSP / gf EXP being equal to 0.98 ± 0.20, where the uncertainty corresponds to the standard deviation to the mean.…”

“…Furthermore an accurate theoretical analysis of 5 even-parity configurations and 2 odd-parity configurations was performed. In our recent analysis devoted mainly to Mo II hyperfine structure (hfs) we have dealt beforehand with fine structure level study [5] to ob-tain level eigenvectors, in order to work in intermediate coupling; we confirm the validity of the excellent huge work of H. Nilsson and J. C. Pickering [4] , since when we have recurred to the extracted level eigenvectors from this work in order to compute hfs data, the latter give a satisfactory agreement with new and accurate experimental hfs data of Rosner and Holt [6] . We have only to point out that the two levels of ( 3 D)5p w 2 D, at 72,039.362 cm −1 and 72,829.914 cm −1 should have their total angular momentum J designations inverted [3,5] .…”

“…In our recent analysis devoted mainly to Mo II hyperfine structure (hfs) we have dealt beforehand with fine structure level study [5] to ob-tain level eigenvectors, in order to work in intermediate coupling; we confirm the validity of the excellent huge work of H. Nilsson and J. C. Pickering [4] , since when we have recurred to the extracted level eigenvectors from this work in order to compute hfs data, the latter give a satisfactory agreement with new and accurate experimental hfs data of Rosner and Holt [6] . We have only to point out that the two levels of ( 3 D)5p w 2 D, at 72,039.362 cm −1 and 72,829.914 cm −1 should have their total angular momentum J designations inverted [3,5] . In an extension of these Mo II electronic structure studies previously cited, relative experimental oscillator strengths of 58 Mo II lines were determined by Schnehage et al [7] but their investigations covered only the region 2700-5700 Å ; this limitation did not permit them to reach ranging in wavelength transitions involving the ground term levels.…”