Energy levels and radiative rates for transitions in Ti X

TL;DR

This paper presents detailed calculations of energy levels, radiative rates, and lifetimes for Ti X, providing extensive data and comparisons to improve atomic data accuracy for this ion.

Contribution

The study offers comprehensive atomic data for Ti X using GRASP and FAC, including energy levels, transition rates, and lifetimes, with assessments of accuracy and CI effects.

Findings

Energy levels are accurate within 1%.

Lifetimes discrepancies can be up to 30% for low levels.

CI effects are minimal for low levels but significant for higher excited states.

Abstract

We report calculations of energy levels, radiative rates, oscillator strengths and line strengths for transitions among the lowest 345 levels of Ti X. These include 146 levels of the $n \le$ 3 configurations and 86 of 3s$^2 4\ell$, 3s$^2 5\ell$ and 3s3p4$\ell$, plus some of the 3s$^2 6\ell$, 3p$^2 4\ell$ and 3s3p5$\ell$ levels. The general-purpose relativistic atomic structure package ({\sc grasp}) and flexible atomic code ({\sc fac}) are adopted for the calculations. Radiative rates, oscillator strengths and line strengths are provided for all electric dipole (E1), magnetic dipole (M1), electric quadrupole (E2) and magnetic quadrupole (M2) transitions among the 345 levels, although calculations have been performed for a much larger number of levels. Comparisons are made with existing results and the accuracy of the data is assessed. Additionally, lifetimes for all 345 levels are listed. Extensive comparisons of lifetimes are made for the lowest 40 levels, for which discrepancies with recent theoretical work are up to 30%. Discrepancies in lifetimes are even larger, up to a factor of four, for higher excited levels. Furthermore, the effect of large CI is found to be insignificant for both the energies and lifetimes for the lowest 40 levels of Ti X which belong to the 3s$^2$3p, 3s3p$^2$, 3s$^2$3d, 3p$^3$ and 3s3p3d configurations. However, the contribution of CI is more appreciable for the energy levels and radiative rates among higher excited levels. Our listed energy levels are estimated to be accurate to better than 1% (within 0.1 Ryd), whereas results for other parameters are probably accurate to better than 20%.