DART: a robust algorithm for fast reconstruction of three-dimensional grain maps

A novel algorithm is introduced for fast and nondestructive reconstruction of grain maps from X-ray diffraction data. The discrete algebraic reconstruction technique (DART) takes advantage of the intrinsic discrete nature of grain maps, while being based on iterative algebraic methods known from classical tomography. To test the properties of the algorithm, three-dimensional X-ray diffraction microscopy data are simulated and reconstructed with DART as well as by a conventional iterative technique, namely SIRT (simultaneous iterative reconstruction technique). For 100 × 100 pixel reconstructions and moderate noise levels, DART is shown to generate essentially perfect two-dimensional grain maps for as few as three projections per grain with running times on a PC in the range of less than a second. This is seen as opening up the possibility for fast reconstructions in connection within situstudies.

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Analysis of a Three-Dimensional Slip Field in a Hexagonal Ti Alloy from in-situ High-Energy X-ray Diffraction Microscopy Data

Acta Materialia ◽

10.1016/j.actamat.2021.117372 ◽

2021 ◽

pp. 117372

Author(s):

Darren C. Pagan ◽

Kelly E. Nygren ◽

Matthew P. Miller

Keyword(s):

Three Dimensional ◽

High Energy ◽

Ti Alloy ◽

X Ray Diffraction ◽

X Ray ◽

Microscopy Data ◽

Diffraction Microscopy

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In Situ Coherent X-ray Diffraction during Three-Point Bending of a Au Nanowire: Visualization and Quantification

Quantum Beam Science ◽

10.3390/qubs2040024 ◽

2018 ◽

Vol 2 (4) ◽

pp. 24 ◽

Cited By ~ 4

Author(s):

Anton Davydok ◽

Thomas Cornelius ◽

Zhe Ren ◽

Cedric Leclere ◽

Gilbert Chahine ◽

...

Keyword(s):

Three Dimensional ◽

Reciprocal Space ◽

X Ray Diffraction ◽

Complex Deformation ◽

X Ray ◽

Three Point Bending ◽

Atomic Force ◽

Au Nanowire ◽

Before And After

The three-point bending behavior of a single Au nanowire deformed by an atomic force microscope was monitored by coherent X-ray diffraction using a sub-micrometer sized hard X-ray beam. Three-dimensional reciprocal-space maps were recorded before and after deformation by standard rocking curves and were measured by scanning the energy of the incident X-ray beam during deformation at different loading stages. The mechanical behavior of the nanowire was visualized in reciprocal space and a complex deformation mechanism is described. In addition to the expected bending of the nanowire, torsion was detected. Bending and torsion angles were quantified from the high-resolution diffraction data.

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Three-dimensional X-ray diffraction microscopy

Materials Today ◽

10.1016/s1369-7021(04)00578-4 ◽

2004 ◽

Vol 7 (12) ◽

pp. 64

Keyword(s):

Three Dimensional ◽

X Ray Diffraction ◽

X Ray ◽

Diffraction Microscopy

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Three dimensional V2O5/NaV6O15 hierarchical heterostructures: Controlled synthesis and synergistic effect investigated by in situ X-ray diffraction

Nano Energy ◽

10.1016/j.nanoen.2016.06.057 ◽

2016 ◽

Vol 27 ◽

pp. 147-156 ◽

Cited By ~ 38

Author(s):

Chaojiang Niu ◽

Xiong Liu ◽

Jiashen Meng ◽

Lin Xu ◽

Mengyu Yan ◽

...

Keyword(s):

Synergistic Effect ◽

Three Dimensional ◽

Controlled Synthesis ◽

X Ray Diffraction ◽

X Ray

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X-Ray Single Crystal Structural Analysis of Magnetically Oriented Microcrystals

Acta Crystallographica Section A Foundations and Advances ◽

10.1107/s2053273314088615 ◽

2014 ◽

Vol 70 (a1) ◽

pp. C1138-C1138

Author(s):

Chiaki Tsuboi ◽

Kazuki Aburaya ◽

Shingo Higuchi ◽

Fumiko Kimura ◽

Masataka Maeyama ◽

...

Keyword(s):

Molecular Structure ◽

Crystal Structure ◽

Single Crystal ◽

Three Dimensional ◽

Diffraction Measurement ◽

X Ray Diffraction ◽

Data Set ◽

Uv Curable ◽

X Ray

We have developed magnetically oriented microcrystal array (MOMA) technique that enables single crystal X-ray diffraction analyses from microcrystalline powder. In this method, microcrystals suspended in a UV-curable monomer matrix are there-dimensionally aligned by special rotating magnetic field, followed by consolidation of the matrix by photopolymerization. From thus achieved MOMAs, we have been succeeded in crystal structure analysis for some substances [1, 2]. Though MOMA method is an effective technique, it has some problems as follows: in a MOMA, the alignment is deteriorated during the consolidation process. In addition, the sample microcrystals cannot be recovered from a MOMA. To overcome these problems, we performed an in-situ X-ray diffraction measurement using a three-dimensional magnetically oriented microcrystal suspension (3D MOMS) of L-alanine. An experimental setting of the in-situ X-ray measurement of MOMS is schematically shown in the figure. L-alanine microcrystal suspension was poured into a glass capillary and placed on the rotating unit equipped with a pair of neodymium magnets. Rotating X-ray chopper with 10°-slits was placed between the collimator and the suspension. By using this chopper, it was possible to expose the X-ray only when the rotating MOMS makes a specific direction with respect to the impinging X-ray. This has the same effect as the omega oscillation in conventional single crystal measurement. A total of 22 XRD images of 10° increments from 0° to 220° were obtained. The data set was processed by using conventional software to obtain three-dimensional molecular structure of L-alanine. The structure is in good agreement with that reported for the single crystal. R1 and wR2 were 6.53 and 17.4 %, respectively. RMSD value between the determined molecular structure and the reported one was 0.0045 Å. From this result, we conclude that this method can be effective and practical to be used widely for crystal structure analyses.

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