Abstract: Disclosed is method of determining one or more unit cells of a poly-crystalline sample and indexing a set DV of 3D diffraction vectors. The method comprising obtaining a plurality of candidate first lattice plane normal vectors and a plurality of candidate second lattice plane normal vectors for a particular unknown grain; using said plurality of candidate first lattice plane normal vectors and said plurality of candidate second lattice plane normal vectors to select a plurality of subsets SSDV_n of the set DV of 3D diffraction vectors and processing said plurality of subsets SSDV_n of 3D diffraction vectors to determine a primary candidate unit cell PCUC defined by three lattice vectors; wherein the primary candidate unit cell PCUC is validated by evaluating the fit of the PCUC with the full set DV of 3D diffraction vectors.

Abstract: Disclosed is method of determining one or more unit cells of a polycrystalline sample and indexing a set DV of 3D diffraction vectors. The method comprising obtaining a plurality of candidate first lattice plane normal vectors and a plurality of candidate second lattice plane normal vectors for a particular unknown grain; using said plurality of candidate first lattice plane normal vectors and said plurality of candidate second lattice plane normal vectors to select a plurality of subsets SSDV_n of the set DV of 3D diffraction vectors and processing said plurality of subsets SSDV_n of 3D diffraction vectors to determine a primary candidate unit cell PCUC defined by three lattice vectors; wherein the primary candidate unit cell PCUC is validated by evaluating the fit of the PCUC with the full set DV of 3D diffraction vectors.

Abstract: A method and system for three dimensional crystallographic grain orientation mapping illuminates a polycrystalline sample with a broadband x-ray beam derived from a laboratory x-ray source, detects, on one or more x-ray detectors, diffracted beams from the sample, and processes data from said diffracted beams with the sample in different rotation positions to generate three dimensional reconstructions of grain orientation, position, and/or 3-D volume. A specific, cone beam, geometry leverages the fact that for a point x-ray source with a divergent beam on reflection of an extended crystal grain diffracts x-rays such that they are focused in the diffraction plane direction.