Transition energy and dipole oscillator strength of 1s23d-1s2 nf transitions for Sc18+ ion

Abstract

The transition energies of the 1s²3d-1s²nf (4"dn"d9) transitions and fine structure splittings of 1s²nf (n"d9) states for Sc¹⁸⁺ ion are calculated with the full-core plus correlation method. The quantum defect of 1s²nf series is determined by the single-channel quantum defect theory. The energies of any highly excited states with n"e10 for this series can be reliably predicted using the quantum defect as function of energy. Three alternative forms of the dipole oscillator strengths for the 1s²3d-1s²nf (n"d9) transitions of Sc¹⁸⁺ ion are calculated with the transition energies and wave functions obtained above. Combining the quantum defect theory with the discrete oscillator strengths, the discrete oscillator strengths for 1s²3d-1s²nf (n > 9) transitions and the oscillator strengths densities corresponding to the bound-free transitions are obtained.

Keywords

Sc¹⁸⁺ ion, transition energy, quantum defect, dipole oscillator strength