The Fe 2p X-ray absorption spectra of single crystal gillespite, BaFeS
i4O10, show a strong linear dichroism, i.e. a large difference in the
absorption when measured with the polarization of the X-rays either pa
rallel or perpendicular to the plane of the FeO4 group. The isotropic
spectrum, obtained from measurement at the 'magic angle', and the pola
rization dependent spectra have been compared to atomic multiplet calc
ulations and show an excellent agreement with theory. Analysis of the
branching ratio, the linear dichroism, and the detailed peak structure
confirms that the (5)A(1) level is the ground state at room temperatu
re and pressure. The B-5(2) level is sufficiently low in energy that a
distortion of the electronic charge density, induced by increased pre
ssure, may result in a B-5(2) ground state.