ISOELECTRONIC SYSTEMATIZATION

Line Strength Factor:

Sif mi mf

i | r/ao | f 2

Deduced from measured data:

Sif = [ if (Å) / 1265.38]3 gi Bif / i (ns)

Parametrized:

Z 2 Sif SH + b/(Z-C) ; SH = 3n2 (n2-1) gi / 4

Dirac Equation calculation

Singlet-Triplet Mixing

nsnp levels

INT

RES

1 and 2 free parameters:

Wolfe, PR 41, 443 (1932) (spin-other-orbit) King & VanVleck, PR 56, 464 (1939) (spin dep. radial wave fctn.)

sp

Alkaline-earthlike sequences

Can this be linearized?

Mixing Angles

MCDHF Calculations

8-1/2 =0.3535

5670

Radioacti

ve

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:

Differential Lifetime Measurements

18.786

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

Si sequence

p2

S II : (Å)907, 911, 9131053, 10561167, 1173