Fine Structure Analysis of the Configuration System of V II. Part I: Even-Parity Levels

Abstract

Using a linked-parameter technique of level-fitting calculations in a multi configuration basis, a parametric analysis of fine structure (fs) for even-parity levels of V II, involving six configurations, has been performed. This led us to exchange the assignments of two triplets, 3d 3 ( 2 F)4s c 3 F and 3d 4 d 3 F, reported in earlier analyses as being located at 30,300 cm −1 and 30,600 cm −1 , respectively. This is confirmed by experimental hyperfine structure (hfs) A constants, used as fingerprints. Moreover, the current singlet 3d 2 4s 2 1 D2 position is likely too high. The fs parameters, magnetic Landé g-factors, and the percentage of leading eigenvectors of levels are calculated. We present also predicted singlet, triplet and quintet positions for missing experimental levels up to 100,000 cm −1 . The single-electron hfs parameters are determined in their entirety for 51 V II for the model space (3d + 4s) 4 with good accuracy. For the model space (3d + 4s) 4 of 51 V II the single-electron hfs parameters are computed; furthermore, our achieved theoretical evaluations of the single-electron hfs parameters, thanks to the use of ab initio calculations, reinforce the validity of these hfs parameter values, deduced from experimental data.

Hyperfine structure, lifetime and oscillator strength of V II

“…For the aim of this study we took advantage of our previous V II fine structure analysis [5,6] and particularly the determination of level eigenvector amplitude of the configurations mentioned above (see paragraph 3). This allows us to obtain the angular part of the matrix element.…”

“…Furthermore the 3d 3 4p, 3d 3 5p and 3d 2 4s4p odd configurations for the same ion spectrum have been reanalysed and for the first time an hfs parametric treatment, involving levels of these 3 configurations, has been carried out. The main oneelectron hfs values, for both parities, are gathered and shown in Table 1; one can find the other mono-electronic parameters in [5,6]. To extract magnetic dipole A-values from experimental hfs splitting the electric quadrupole hfs B factors preferably were fixed deliberately to zero in [1,2], because the electric quadrupole moment of 51 V is very small: À 0.05b.…”

“…Furthermore 5 new levels were found. Let us point out that both even-and odd-parity levels of V II had been lately studied too in [5,6]. The fine structure parameters, the largest and next largest eigenvector percentages of levels, their calculated Lande g Jfactors and predicted positions for missing experimental levels up to 100,000 cm À 1 were determined.…”