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First, an experimental and theoretical study of resonant photoelectron diffraction on titanum dioxide surfaces is presented. By analyzing the defect state in the TiO₂ band gap with this technique we show how real space information on the location of the defect state can be obtained [1]. Second, a method for calculating x-ray absorption spectra at transition metal L₂₃ and actinide O₄₅ absorption edges is presented. It is based on the theory of multichannel multiple scattering and combines ab initio band structure and certain multiplet-type electron correlation effects. The method is applied to Ca, Ti [2] and Th compounds and good agreement with experiment is obtained.

[1] P. Krüger et al., Phys. Rev. Lett. 100 (2008) 055501.
[2] P. Krüger, Phys. Rev. B 81 (2010) 125121.