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Scanning electron microscopy combined with electron backscatter diffraction (EBSD) and electron channeling provides rich crystallographic contrast, but the mutual influence of channeling-in and channeling-out is often simplified or…

Materials Science · Physics 2026-04-28 T. Ben Britton , M. Haroon Qaiser , Ruth M. Birch

In this paper, we have analysed the depth resolution that can be achieved by on-axis transmission Kikuchi diffraction (TKD) using a Zr-Nb alloy. The results indicate that the signals contributing to detectable Kikuchi bands originate from a…

Materials Science · Physics 2019-06-24 Junliang Liu , Sergio Lozano-Perez , Angus J. Wilkinson , Chris R. M. Grovenor

Understanding the evolution of dislocation structures during plastic deformation is critical for predicting the mechanical performance of metallic materials. In this work, we applied in situ scanning electron microscopy/electron backscatter…

Materials Science · Physics 2026-03-24 Mikhail Lebyodkin , Maxim Gussev , Jamieson Brechtl , Tatiana Lebedkina

The diffraction of fast atoms at crystal surfaces is ideal for a detailed investigation of the surface electronic density. However, instead of sharp diffraction spots, most experiments show elongated streaks characteristic of inelastic…

Atomic Physics · Physics 2017-08-02 Philippe Roncin , Maxime Debiossac

We introduce the electronic structure factor as a phase-sensitive contribution to diffraction that directly encodes the properties of the occupied-band wave functions. In the one-dimensional SSH model, $F_{\mathrm{cond}}$ is governed by the…

Strongly Correlated Electrons · Physics 2025-09-01 Sebastian Allende , David Galvez-Poblete

Understanding lattice deformations is crucial in determining the properties of nanomaterials, which can become more prominent in future applications ranging from energy harvesting to electronic devices. However, it remains challenging to…

Synchrotron Laue microdiffraction and Digital Image Correlation measurements were coupled to track the elastic strain field (or stress field) and the total strain field near a general grain boundary in a bent bicrystal. A 316L stainless…

We consider a one-step replica symmetry breaking description of the Edwards-Anderson spin glass model in 2D. The ingredients of this description are a Kikuchi approximation to the free energy and a second-level statistical model built on…

Disordered Systems and Neural Networks · Physics 2016-08-24 Gino Del Ferraro , Chuang Wang , Hai-Jun Zhou , Erik Aurell

We present detailed calculations of the electric field gradient (EFG) using a point charge approximation in Ba$_2$NaOsO$_6$, a Mott insulator with strong spin-orbit interaction. Recent $^{23}$Na nuclear magnetic resonance (NMR) measurements…

Strongly Correlated Electrons · Physics 2018-06-20 W. Liu , A. P. Reyes , I. R. Fisher , V. F. Mitrović

We propose a framework for indexing of grain and sub-grain structures in electron backscatter diffraction (EBSD) images of polycrystalline materials. The framework is based on a previously introduced physics-based forward model by Callahan…

Computer Vision and Pattern Recognition · Computer Science 2015-03-04 Yu-Hui Chen , Se Un Park , Dennis Wei , Gregory Newstadt , Michael Jackson , Jeff P. Simmons , Marc De Graef , Alfred O. Hero

This paper describes the application of a laser diffraction technique to the study of electroconvection in nematic liquid crystal cells. It allows a real-time quantitative access to pattern wave lengths and amplitudes. The diffraction…

Strongly Correlated Electrons · Physics 2009-11-07 Th. John , U. Behn , R. Stannarius

Development in lattice strain mapping using four-dimensional scanning transmission electron microscopy (4D-STEM) method now offers improved precision and feasibility. However, automatic and accurate diffraction analysis is still challenging…

Materials Science · Physics 2022-01-04 Sihan Wang , Tim Eldred , Jacob Smith , Wenpei Gao

We introduce a new methodology for modeling regular spatial data using hyperuniform point processes. We show that, under some mixing conditions on the perturbations, perturbed lattices in general dimension are hyperuniform. Due to their…

Probability · Mathematics 2026-03-03 Daniela Flimmel

Nowadays, modern electron microscopes deliver images at atomic scale. The precise atomic structure encodes information about material properties. Thus, an important ingredient in the image analysis is to locate the centers of the atoms…

Computer Vision and Pattern Recognition · Computer Science 2017-09-13 Benjamin Berkels , Benedikt Wirth

The accurate approximation of critical strains for lattice instability is a key criterion for predictive computational modeling of materials. In this paper, we present a comparison of the lattice stability for atomistic chains modeled by…

Numerical Analysis · Mathematics 2011-08-24 Xingjie Helen Li , Mitchell Luskin

We measured the local composition and thickness of SiO2-based glass material from diffraction. By using four dimensional scanning transmission electron microscopy (4D-STEM), we obtained diffraction at each scanning point. Comparing the…

Materials Science · Physics 2020-05-20 K. Nakazawa , K. Mitsuishi , K. Shibata , S. Amma , T. Mizoguchi

Recent advances in scanning transmission electron and scanning tunneling microscopies allow researchers to measure materials structural and electronic properties, such as atomic displacements and charge density modulations, at an Angstrom…

In this paper, we investigate the residual deformation field in the vicinity of nano-scratch tests using two orientations of a Berkovich tip on an (001) Cu single crystal. We compare the deformation with that from indentation, in an attempt…

Materials Science · Physics 2020-12-08 Anna Kareer , Edmund Tarleton , Christopher Hardie , Sarah V Hainsworth , Angus Wilkinson

The routine and unique determination of minor phases in microstructures is critical to materials science. In metallurgy alone, applications include alloy and process development and the understanding of degradation in service. We develop a…

Materials Science · Physics 2020-01-22 T. P. McAuliffe , A. Foden , C. Bilsland , D. Daskalaki-Mountanou , D. Dye , T. B. Britton

The dislocation microstructure developing during plastic deformation strongly influences the stress-strain properties of crystalline materials. The novel method of high resolution electron backscatter diffraction (HR-EBSD) offers a new…

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