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Systematization of Line Strength Factors for Alkaline-Earthlike Ions and Transitions

This document presents a comprehensive analysis of line strength factors (Sif) related to alkaline-earthlike sequences, drawing from measured data and employing semiempirical methods. It discusses the derivation of Sif values based on Dirac Equation calculations, resonant transitions, and lifetime data for various ionization states. Additionally, it addresses the applicability of these semiempirical methods to other transition types and highlights the need for accurate intensity calibration in detection apparatus. Relevant literature and parameters essential for this analysis are detailed for further understanding.

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Systematization of Line Strength Factors for Alkaline-Earthlike Ions and Transitions

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  1. ISOELECTRONIC SYSTEMATIZATION Line Strength Factor: Sifmi mf  i | r/ao | f 2 Deduced from measured data: Sif = [ if (Å) / 1265.38]3giBif/ i (ns) Parametrized: Z 2 SifSH + b/(Z-C) ; SH = 3n2 (n2-1) gi / 4

  2. Dirac Equation calculation

  3. Singlet-Triplet Mixing nsnp levels RES INT

  4. sp 1 and 2 free parameters: Wolfe, PR 41, 443 (1932) (spin-other-orbit) King & VanVleck, PR 56, 464 (1939) (spin dep. radial wave fctn.)

  5. Alkaline-earthlike sequences

  6. Can this be linearized?

  7. Mixing Angles

  8. MCDHF Calculations

  9. 8-1/2 =0.3535

  10.  Radioactive 5670

  11. All applications to here are n = 0 resonance transitions: Alkali-metallike ns – np Alkaline-earthlike ns2 – nsnp Are these data-based semiempirical methods also applicable to other types of transitions? Yes, but there are no data! Lifetime data exist, but branching fraction data are essentially non-existent for multiply charged ions Exceptions:

  12. Differential Lifetime Measurements

  13. 18.786

  14. Determination of branching fractions: Requires intensity calibration of detection apparatus as a function of wavelength Standard lamps: continuum radiation fixed in laboratory beam light Doppler shifted Line standards available in Visible, but not UV Need in-beam ions with known intensity ratios

  15. Si sequence

  16. p2

  17. S II : (Å) 907, 911, 913 1053, 1056 1167, 1173

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