Optical spectroscopy of complex open 4$d$-shell ions Sn$^{7+}$-Sn$^{10+}$

TL;DR

This study combines ab initio calculations with experimental spectra to analyze the complex electronic structure of open 4d-shell ions of tin, providing extensive data and confirming the accuracy of theoretical models.

Contribution

It presents the most comprehensive data set for Sn$^{7+}$-Sn$^{10+}$ ions and validates the predictive power of CI+MBPT calculations for complex open-shell systems.

Findings

Identified 90 magnetic-dipole transitions

Determined 79 ground-configuration energy levels

Questioned some earlier EUV-line assignments

Abstract

We analyze the complex level structure of ions with many-valence-electron open [Kr] 4$d^\textrm{m}$ sub-shells ($\textrm{m}$=7-4) with ab initio calculations based on configuration-interaction many-body perturbation theory (CI+MBPT). Charge-state-resolved optical and extreme ultraviolet (EUV) spectra of Sn$^{7+}$-Sn$^{10+}$ ions were obtained using an electron beam ion trap. Semi-empirical spectral fits carried out with the orthogonal parameters technique and Cowan code calculations lead to 90 identifications of magnetic-dipole transitions and the determination of 79 energy ground-configuration levels, questioning some earlier EUV-line assignments. Our results, the most complete data set available to date for these ground configurations, confirm the ab initio predictive power of CI+MBPT calculations for the these complex electronic systems.