Abstract
Energies of ${3l3l}^{\ensuremath{'}}{3l}^{\ensuremath{''}}$ states of aluminumlike ions with $Z=14--100$ are evaluated to second order in relativistic many-body perturbation theory starting from a ${1s}^{2}{2s}^{2}{2p}^{6}$ Dirac-Fock potential. Intrinsic three-particle contributions to the energy are included in the present calculation and found to contribute about 10--20 % of the total second-order energy. Corrections for the frequency-dependent Breit interaction and the Lamb shift are included in lowest order. A detailed discussion of contributions to the energy levels is given for aluminumlike germanium $(Z=32).$ Comparisons are made with available experimental data. We obtain excellent agreement for term splitting, even for low-Z ions. These calculations are presented as a theoretical benchmark for comparison with experiment and theory.
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