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Improved calculation of fine-structure splittings in the ground state of potassiumlike ions

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Abstract

The fine-structure splitting between the 3p63d2DJ, J = 3/2 and J = 5/2 levels of K-like ions, Ti3+ to U73+, are calculated by means of Dirac–Fock single-configuration and multiconfiguration wave functions. The multi-configuration calculation includes jj configurations arising from some selected nonrelativistic configurations in the M-shell Coulomb complex; these include all the Dirac–Fock configurations with the principal quantum number n = 3, which are degenerate in the pure jj coupling limit for infinite nuclear charge Z, along with other configurations such that the calculated energy is correct to order Z2 and Z asymptotically. The difference between known experimental and calculated multiconfiguration Dirac–Fock fine-structure splittings is almost independent of Z, thus allowing us to predict unknown values reliably. From this plot and a comparison of theoretical and experimental results we conclude that the observed fine-structure splitting of Ag28+ [ J. Opt. Soc. Am. B 2, 1661 ( 1985)] is too small. We present splittings in high-Z K-like ions for which experimental values are unknown.

© 1992 Optical Society of America

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