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Systematization of Isoelectronic Line Strength Factors: Insights and Applications

This study delves into the isoelectronic systematization of line strength factors, deduced and parametrized from measured data. Dirac Equation calculations for singlet-triplet mixing levels provide valuable insights, which are further explored through MCDHF calculations and resonance transitions analysis. Challenges and exceptions within the data availability are discussed, emphasizing the need for improved experimental methods.

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Systematization of Isoelectronic Line Strength Factors: Insights and Applications

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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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