A new approach to local structure determination is presented. A three-dimensional region of the reciprocal space of a ${\mathrm{SrTiO}}_3$ single crystal was mapped by measuring x-ray diffuse scattering patterns at different sample orientations in order to reconstruct the local atomic structure. The phase problem was solved by means of anomalous scattering from strontium atoms at photon energies near their $K$ absorption edge. Real-space reconstruction provides the average short-range order atomic arrangement in the vicinity of anomalous scatterers up to a distance of several unit cells.

• Received 17 December 2007

DOI:https://doi.org/10.1103/PhysRevLett.100.195504