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Even after several decades of systematic usage of X-ray diffraction as one of the major analytical tool for epitaxic layers, the vision of the reciprocal space of these materials is still a simple superposition of two reciprocal lattices,…

Materials Science · Physics 2007-05-23 Jarek Z. Domagala , Sergio L. Morelhao

An approach to visualize the accessible reciprocal space accounting the goniometer angles limitation and the resolution element in the reciprocal space is presented. The shapes of the accessible reciprocal space region for coplanar and…

Materials Science · Physics 2018-10-01 T. Ulyanenkova , A. Zhylik , A. Benediktovitch , A. Ulyanenkov

We present general algorithms to convert scattering data of linear and area detectors recorded in various scattering geometries to reciprocal space coordinates. The presented algorithms work for any goniometer configuration including…

Data Analysis, Statistics and Probability · Physics 2013-07-23 Dominik Kriegner , Eugen Wintersberger , Julian Stangl

Grazing Incidence X-ray Diffraction (GIXD) is a surface sensitive X-ray investigation technique (or geometry configuration) that can reveal the structural properties of a film deposited on a flat substrate. The term grazing indicates that…

Soft Condensed Matter · Physics 2015-12-29 Samuele Lilliu , Thomas Dane

Information transfer between triangle meshes is of great importance in computer graphics and geometry processing. To facilitate this process, a smooth and accurate map is typically required between the two meshes. While such maps can…

Graphics · Computer Science 2018-01-09 Danielle Ezuz , Justin Solomon , Mirela Ben-Chen

With dark firld x-ray microscopy, it is possible to measure reciprocal space manps of localized volumes embedded deeply in a large sample. Ferroelastic materials contains elastic twins that display characteristing splitting of diffraction…

Materials Science · Physics 2024-01-15 Mads Carlsen , Marion Hoefling , Carsten Detlefs , Hugh Simons

Topological insulator surface properties are strongly correlated to structural properties, requiring high-resolution techniques capable of probing both surface and bulk structures at once. In this work, high flux of synchrotron source,…

Materials Science · Physics 2017-01-02 Sérgio L. Morelhão , Celso I. Fornari , Paulo H. O. Rappl , Eduardo Abramof

A new approach, based on reciprocal space vectors (RSVs), is developed to determine Bravais lattice types and accurate lattice parameters of epitaxial thin films by high-resolution X-ray diffractometry (HR-XRD). The lattice parameters of…

Materials Science · Physics 2013-11-15 Ping Yang , Huajun Liu , Zuhuang Chen , Lang Chen , John Wang

An approach is described for studying texture in nanostructured materials. The approach implements the real space texture PDF, txPDF, laid out in [Gong and Billinge (2018) arXiv:1805.10342 [cond-mat]]. It is demonstrated on a fiber textured…

X-ray computed tomography is a powerful tool for volumetric imaging, where three-dimensional (3D) images are generated from a large number of individual X-ray projection images. Collecting the required number of low noise projection images…

Image and Video Processing · Electrical Eng. & Systems 2025-04-30 Zhenduo Shang , Thomas Blumensath

The recently developed 3D graphic statics (3DGS) lacks a rigorous mathematical definition relating the geometrical and topological properties of the reciprocal polyhedral diagrams as well as a precise method for the geometric construction…

Computational Geometry · Computer Science 2020-08-03 Márton Hablicsek , Masoud Akbarzadeh , Yi Guo

We propose an application of the Angular X-ray Cross-Correlation Analysis (AXCCA) to the scattered intensity distribution measured in three-dimensional (3D) reciprocal space from a single crystalline sample. Contrary to the conventional…

Mesoscale and Nanoscale Physics · Physics 2022-02-18 Dmitry Lapkin , Anatoly Shabalin , Janne-Mieke Meijer , Ruslan Kurta , Michael Sprung , Andrei V. Petukhov , Ivan A. Vartanyants

A common task in cryo-electron microscopy (cryo-EM) data processing is to compare three-dimensional density maps of macromolecules. In this paper, we propose an algorithm for aligning three-dimensional density maps that exploits common…

Image and Video Processing · Electrical Eng. & Systems 2023-02-27 Yael Harpaz , Yoel Shkolnisky

The rise of micro/nanooptics and lab-on-chip devices demands the fabrication of three-dimensional structures with decent resolution. Here, we demonstrate the combination of grayscale electron beam lithography and direct forming methodology…

We demonstrate a novel approach to the reconstruction of scanning probe x-ray diffraction tomography data with anisotropic poly crystalline samples. The method involves reconstructing a voxel map containing an orientation distribution…

Epitaxial films of bismuth telluride topological insulators have received increasing attention due to potential applications in spintronic and quantum computation. One of the most important properties of epitaxial films is the presence of…

We present an efficient algorithm to recover the three dimensional structure of a protein from its contact map representation. First we show that when a physically realizable map is used as target, our method generates a structure whose…

Soft Condensed Matter · Physics 2008-02-03 Michele Vendruscolo , Edo Kussell , Eytan Domany

The orientation-dependence of thin-crystal lattice fringes can be gracefully quantified using fringe-visibility maps, a direct-space analog of Kikuchi maps. As in navigation of reciprocal space with the aid of Kikuchi lines,…

Materials Science · Physics 2015-06-24 P. Fraundorf , W. Qin , Peter Moeck , Eric Mandell

X-ray tomography is a powerful volumetric imaging technique, but detailed three dimensional (3D) imaging requires the acquisition of a large number of individual X-ray images, which is time consuming. For applications where spatial…

Image and Video Processing · Electrical Eng. & Systems 2023-02-28 Zhenduo Shang , Thomas Blumensath

The authors present a review of the systematic studies of the structure of macroscopically planar thin films at the air-liquid interface (water, alkali solution and silica hydrosol). A common feature of the considered works is the…

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