Friedel-pair based indexing method for characterization of single grains with hard X-rays

Moscicki, M.; Kenesei, Péter; Wright, Jonathan P.; Pinto, Haroldo Cavalcanti; Lippmann, Thomas; Borbély, András; Pyzalla, Ar

doi:10.1016/j.msea.2009.05.002

Cited by 36 publications

(34 citation statements)

References 12 publications

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“…6.1. In the DCT setup it has become customary to perform data acquisitions during 360 • rotations, in which case high-quality ray tracing can be based on Friedel pairs (Ludwig et al, 2009;Moscicki, 2009). In case of true far-field data one may simply assume that all grains are positioned at the center of rotation and for any spot draw the line from its center on the detector to the rotation axis.…”

Section: Indexingmentioning

confidence: 99%

3d X-Ray Diffraction Microscopy

Poulsen¹,

Schmidt²,

Jensen³

et al. 2014

Strain and Dislocation Gradients From Diffraction

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Three-dimensional X-ray diffraction (3DXRD) microscopy is a fast and nondestructive structural characterization technique aimed at the study of individual crystalline elements (grains or subgrains) within mm-sized polycrystalline specimens. It is based on two principles: the use of highly penetrating hard X-rays from a synchrotron source and the application of "tomographic" reconstruction algorithms for the analysis of the diffraction data. In favorable cases, the position, morphology, phase, and crystallographic orientation can be derived for up to a thousand elements simultaneously. For each grain its average strain tensor may also be derived, from which the type-II stresses can be inferred. Furthermore, the dynamics of the individual elements can be monitored during typical processes 205 Strain and Dislocation Gradients from Diffraction Downloaded from www.worldscientific.com by PURDUE UNIVERSITY on 04/13/15. For personal use only.

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Section: Indexingmentioning

confidence: 99%

3d X-Ray Diffraction Microscopy

Poulsen¹,

Schmidt²,

Jensen³

et al. 2014

Strain and Dislocation Gradients From Diffraction

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“…Indexing in this case means finding the orientation matrices of the grains in the sample and sorting the G-vectors according to the grain of origin. Following the presentation of the program GRAINDEX in 2001, several alternative approaches have been proposed Wright, 2005;Ludwig, 2009, Moscicki, 2009. Some of these rely on the use of direct space information on grain position, derived either from a near field detector (Ludwig, 2009, Moscicki, 2009 or from scanning of the sample .…”

Section: Indexing With Known Space Groupsmentioning

confidence: 99%

“…Following the presentation of the program GRAINDEX in 2001, several alternative approaches have been proposed Wright, 2005;Ludwig, 2009, Moscicki, 2009. Some of these rely on the use of direct space information on grain position, derived either from a near field detector (Ludwig, 2009, Moscicki, 2009 or from scanning of the sample . While such methods are relevant for 3D materials science studies, they are of less interest for crystallographic studies, where the size of the entire polycrystalline sample may be a few mm or less.…”

Section: Indexing With Known Space Groupsmentioning

confidence: 99%

Multigrain crystallography

Sørensen

Schmidt

Wright

et al. 2012

Zeitschrift für Kristallographie

106

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Multigrain crystallography / 3DXRD microscopy / Crystal structure determination / Polycrystal diffraction / Crystal indexing Abstract. We summarize exploratory work on multigrain crystallography. The experimental arrangement comprises a monochromatic beam, a fully illuminated sample with up to several hundred grains in transmission geometry on a rotary table and a 2D detector. Novel algorithms are presented for indexing, integration and filtering with emphasis on handling the complications of spot overlap and the need for on-line analysis. The structure solution and refinement steps are performed by conventional single crystal programs. Simulations are used to verify the algorithms and to probe the overall limitations of the methodology in terms of number of grains, size of unit cell and direct space resolution. First experimental results in the fields of chemistry, structural biology and time-resolved studies in photochemistry are presented. As an outlook, the concept of TotalCrystallography is introduced, defined as the simultaneous characterization of the 3D atomic, and 3D grain-scale structure of polycrystalline specimens with phases of unknown composition and structure.

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“…1. In fact, the lattice of undeformed grains can be inferred already from incoherent X-ray diffraction data [27, 28], and the reconstruction task from coherent X-ray diffraction data thus reduces to the task of determining for each grain the positions it occupies in space. Fig.…”

Section: Binary Superposed Phase Retrievalmentioning

confidence: 99%

Phase retrieval for superposed signals from multiple binary objects

et al. 2010

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We introduce the binary superposed phase retrieval problem that aims at reconstructing multiple 0/1-valued functions with nonoverlapping bounded supports from moduli of superpositions of several displaced copies of their individual Fourier transforms. We discuss an application in coherent diffraction imaging of crystalline objects, propose two algorithms, and evaluate their performance by means of simulations.

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Friedel-pair based indexing method for characterization of single grains with hard X-rays

Cited by 36 publications

References 12 publications

3d X-Ray Diffraction Microscopy

3d X-Ray Diffraction Microscopy

Multigrain crystallography

Phase retrieval for superposed signals from multiple binary objects

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