Lifetime measurements and oscillator strengths in singly ionised scandium and the solar abundance of scandium

TL;DR

This study measured lifetimes and oscillator strengths of singly ionised scandium levels, improving the accuracy of solar scandium abundance estimates by combining experimental data with theoretical calculations.

Contribution

It provides new semi-empirical oscillator strengths for ii, enhancing the precision of solar abundance measurements and validating theoretical models with experimental data.

Findings

Good agreement between calculated and experimental branching fractions.

Derived semi-empirical oscillator strengths for 380 ii transitions.

Solar scandium abundance estimated at .04 b1 0.13, matching meteoritic values.

Abstract

The lifetimes of 17 even-parity levels (3d5s, 3d4d, 3d6s, and 4p$^2$) in the region 57743-77837 cm$^{-1}$ of singly ionised scandium (\ion{Sc}{ii}) were measured by two-step time-resolved laser induced fluorescence spectroscopy. Oscillator strengths of 57 lines from these highly excited upper levels were derived using a hollow cathode discharge lamp and a Fourier transform spectrometer. In addition, Hartree--Fock calculations where both the main relativistic and core-polarisation effects were taken into account were carried out for both low- and high-excitation levels. There is a good agreement for most of the lines between our calculated branching fractions and the measurements of Lawler and Dakin (1989) in the region 9000-45000 cm$^{-1}$ for low excitation levels and with our measurements for high excitation levels in the region 23500-63100 cm$^{-1}$. This, in turn, allowed us to combine the calculated branching fractions with the available experimental lifetimes to determine semi-empirical oscillator strengths for a set of 380 E1 transitions in \ion{Sc}{ii}. These oscillator strengths include the weak lines that were used previously to derive the solar abundance of scandium. The solar abundance of scandium is now estimated to $\log~\epsilon_\odot = 3.04\pm0.13$ using these semi-empirical oscillator strengths to shift the values determined by Scott et al. (2015). The new estimated abundance value is in agreement with the meteoritic value ($\log~\epsilon_{\text{met}}=3.05\pm0.02$) of Lodders et al. (2009).