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We present resonant X-ray scattering results for single crystals of KCuF 3 . Superstructure reflections corresponding either to d-orbital or to magnetic long-range order have been observed. Azimuthal scans around magnetic reciprocal lattice vectors reveal that magnetic moments are directed along the <110> direction of the pseudo-cubic perovskite cell. The angular momentum contribution to the magnetic moment is determined from non-resonant azimuthal scans about magnetic peaks.