Abstract
We review recent progress in calculations of the structure of high-Z many-electron ions. Relativistic many-body perturbation; theory calculations of correlation and Breit effects are augmented by screened self-energy and vacuum polarization calculations. Screening by the direct part of the Dirac-Fock potential is included to all orders, while a subset of exchange effects is included to first order. This approach gives excellent agreement with experiment for the Li and Na isoelectronic sequences. The calculation of omitted two-photon QED effects is discussed, with particular emphasis on recent calculations of the ladder and crossed-ladder diagram for the 1s2 ground-state energy of helium-like ions.
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