PACS. 78.20.Ls -Magnetooptical effects. PACS. 75.30.Gw -Magnetic anisotropy. PACS. 78.70.Dm -X-ray absorption spectra.Abstract. -The role of delocalization and hybridization in complex magnetic oxides has been investigated by magnetic oxygen K-edge absorption of circular polarized soft X-rays in epitaxial grown CrO2 as a function of the azimuthal angle at grazing incidence. Unusual strong variations in the typically small X-ray magnetic circular dichroism (XMCD) signal have been observed. Those angular dependencies of the typical CrO2 oxygen K-edge XMCD signal could be quantitatively interpreted in terms of an induced anisotropic Cr 3d orbital magnetism for different spectral regions of the unoccupied density of states. The results strongly suggest a delocalized non-ionic magnetic behavior of the conduction electrons.Introduction. -Recently, half-metallic CrO 2 has attracted a revived research interest due to its remarkable high spin polarization at the Fermi level, theoretically predicted to 100% [1][2][3][4] and verified by superconducting tunneling spectroscopy at 1.8 K [5,6] and spin-polarized photoemission spectroscopy at T = 293 K [7]. The reason for this revival are potential applications of magnetoelectronic and spintronics devices on the basis of half-metallic ferromagnets such as CrO 2 due to its intrinsic high degree of spin polarization [8] and Curie temperature well above RT. The oxygen-mediated magnetic coupling and the half-metallic nature are challenging tasks for theoretical investigations, originated by the presence of oxygen-hybridization, double-exchange, self-doping and correlation effects [2]. CrO 2 has a magnetic moment of 2 µ B /Cr-ion, which is consistent with a fully spin-polarized band structure and also with an ionic 3d 2 configuration. Therefore, transition-metal-oxide absorption spectra have been theoretically modeled in a full ionic ligand field approach [9]. Due to the metastable nature of the CrO 2 surface at T = 293 K and ambient atmosphere, spectroscopic and surface-sensitive measurements have been a challenging problem in the past. Nevertheless, epitaxially grown thin CrO 2 (100) films could be prepared, showing a magnetic easy axis along the in-plane c-axis for an unstrained sample [10,11].