ISOELECTRONIC SYSTEMATIZATION

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ISOELECTRONIC SYSTEMATIZATION Line Strength
Factor Sif ? ?mi ?mf ?? i r/ao f ??2
Deduced from measured data Sif ?if (Å) /
1265.383 gi Bif / ?i (ns)
Parametrized Z 2 Sif ? SH b/(Z-C) SH
3n2 (n2-1) gi / 4
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Dirac Equation calculation
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Singlet-Triplet Mixing nsnp levels
RES
INT
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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.)
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Alkaline-earthlike sequences
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Can this be linearized?
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Mixing Angles
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MCDHF Calculations
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8-1/2 0.3535
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? Radioactive ?
5670
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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
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Differential Lifetime Measurements
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18.786
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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
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Si sequence
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p2
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S II ?(Å) 907, 911, 913 1053, 1056 1167, 1173