Abstract: Devices for X-ray topography determine structures and compositions of objects. In accordance with an embodiment of the invention, a scanning system forms images using small angle scattering. A spatial filter selects radiation an object scatters at small angles and blocks other radiation. A coordinate-sensitive detector behind the filter records the scattered radiation. An object image is constructed based on the small-angle scattering information and the compositions of regions of the object are determined from scattering curves for the regions. One embodiment of the invention includes a source of penetrating radiation, a detector system for radiation transmitted through an analyzed object, a detector system for radiation the object scatters at small angles, and a unit for moving the object during scanning. A three-dimensional absorption factor distribution is determined for the object by X-raying the object at different angles.