We report on experiments where solid-density Mg plasmas are created by
heating with the focused output of the Linac Coherent Light Source x-ray
free-electron-laser. We study the K-shell emission from the Helium and
Lithium-like ions using Bragg crystal spectroscopy. Observation of the
dielectronic satellites in Lithium-like ions confirms that the M-shell
electrons appear bound for these high charge states. An analysis of the
intensity of these satellites indicates that when modelled with an
atomic-kinetics code, the ionisation potential depression model employed needs
to produce depressions for these ions which lie between those predicted by the
well known Stewart-Pyatt and Ecker-Kroll models. These results are largely
consistent with recent Density Functional Theory calculations