X-ray diffraction contrast tomography: a novel technique for three-dimensional grain mapping of polycrystals. I. Direct beam case

The principles of a novel technique for nondestructive and simultaneous mapping of the three‐dimensional grain and the absorption microstructure of a material are explained. The technique is termed X‐ray diffraction contrast tomography, underlining its similarity to conventional X‐ray absorption contrast tomography with which it shares a common experimental setup. The grains are imaged using the occasionally occurring diffraction contribution to the X‐ray attenuation coefficient each time a grain fulfils the diffraction condition. The three‐dimensional grain shapes are reconstructed from a limited number of projections using an algebraic reconstruction technique. An algorithm based on scanning orientation space and aiming at determining the corresponding crystallographic grain orientations is proposed. The potential and limitations of a first approach, based on the acquisition of the direct beam projection images only, are discussed in this first part of the paper. An extension is presented in the second part of the paper [Johnson, King, Honnicke, Marrow & Ludwig (2008). J. Appl. Cryst.41, 310–318], addressing the case of combined direct and diffracted beam acquisition.