Semi-empirical studies of atomic transition probabilities, oscillator strengths and radiative lifetimes in Hf II

Abstract

a b s t r a c tOver the past few years, laser induced fluorescence and Fourier Transform techniques have been applied to measure radiative lifetimes and branching fractions in Hf II in order to derive oscillator strengths and transition probabilities. In the present work, we propose to compare for the first time these experimental data to computed values obtained by two different semi-empirical approaches, respectively based on a parametrization of the oscillator strengths and on a pseudo-relativistic Hartree-Fock model including corepolarization effects. The overall agreement between all sets of data is found to be good. We furthermore give radial integrals of the main atomic transitions in this study: 〈5d6s6p| r 1 |5d 2 6s〉¼ 0.1504 (0.0064), 〈6s 2 6p|r 1 |5d6s 2 〉¼ 1.299 (0.012), 〈5d 2 6p|r 1 |5d 2 6s〉¼ À0.298 (0.013), 〈5d 2 6p|r 1 |5d 3 〉¼ 2.025 (0.027). Finally a new set of oscillator strengths and transition probabilities is reported for many transitions in Hf II.

Second spectrum of Chromium (Cr II) Part I: New energy level reanalysis

“…We gave in our previous papers all details of the analysis procedure used to study fine structure of atoms and ions, see for instance [17][18][19][20][21]. Nevertheless we prefer to remind the reader that this procedure includes electrostatic and spin dependent interactions, which are represented by the Slater integrals F k , G k , R k and the spin-orbit parameters ζ nl .…”

Overview of recent advances performed in the study of atomic structures and radiative processes for the lowest ionization stages of heavy elements

“…[101,102] but unfortunately without any theoretical background. In our work we have compared these experimental values with computed ones obtained using two independent semi-empirical methods (i.e., the HFR + CPOL + CPEN approach and the OSP technique in collaboration with Prof. S. Bouazza (Reims, France)) [103]. The overall agreement between all sets of data was found to be good.…”

A comparative study between semi-empirical oscillator strength parametrization and relativistic Hartree–Fock methods for computing the radiative parameters in Zr II spectrum

“…As in case of our previous study devoted to Hf II [15] we looked first into electric dipole transitions. We had recourse to a semi-empirical method for parameterization of oscillator strengths.…”