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The Kikuchi bands arise from Bragg diffraction of incoherent electrons scattered within a crystalline specimen and can be observed in both the transmission and reflection modes of scanning electron microscopy (SEM). Converging, rocking, or…

The ability to directly follow and time resolve the rearrangement of the nuclei within molecules is a frontier of science that requires atomic spatial and few-femtosecond temporal resolutions. While laser induced electron diffraction can…

Electron diffraction through a thin patterned silicon membrane can be used to create complex spatial modulations in electron distributions by varying the intensity of different reflections using parameters such as crystallographic…

Accelerator Physics · Physics 2019-05-30 L. E. Malin , W. S. Graves , M. Holl , J. C. H. Spence , E. A. Nanni , R. K. Li , X. Shen , S. Weathersby

We present spherical analysis of electron backscatter diffraction (EBSD) patterns with two new algorithms: (1) band localisation and band profile analysis using the spherical Radon transform; (2) orientation determination using spherical…

Materials Science · Physics 2019-09-04 Ralf Hielscher , Felix Bartel , Thomas Benjamin Britton

Orientation mapping is a widely used technique for revealing the microstructure of a polycrystalline sample. The crystalline orientation at each point in the sample is determined by analysis of the diffraction pattern, a process known as…

Mathematical Physics · Physics 2017-10-11 Peter Mahler Larsen , Søren Schmidt

Recent interest in structure solution and refinement using electron diffraction (ED) has been fuelled by its inherent advantages when applied to crystals of sub-micron size, as well as a better sensitivity to light elements. Currently, data…

Computational Physics · Physics 2022-08-23 Anton Cleverley , Richard Beanland

Nonlinear optical generation from a crystalline material can reveal the symmetries of both its lattice structure and underlying ordered electronic phases and can therefore be exploited as a complementary technique to diffraction based…

Strongly Correlated Electrons · Physics 2014-11-04 D. H. Torchinsky , H. Chu , T. Qi , G. Cao , D. Hsieh

The direction of ferroelectric polarization is prescribed by the symmetry of the crystal structure. Therefore, rotation of the polarization direction is largely limited, despite the opportunity it offers in understanding important…

The intricate fine structure of Kikuchi diffraction plays a vital role in probing phase transformations and strain distributions in functional materials, particularly in electron microscopy. Beyond these applications, it also proves…

Transmission Kikuchi diffraction in the scanning electron microscope has gained popularity as a materials characterization technique for its high throughput and nanometer-level spatial resolution. While conventional diffraction pattern…

Materials Science · Physics 2026-05-22 Tianbi Zhang , Raynald Gauvin , Aimo Winkelmann , T. Ben Britton

Diffraction images with continuous rotation symmetry arise from amorphous systems, but also from regular crystals when investigated by powder diffraction. On the theoretical side, pinwheel patterns and their higher dimensional…

Spectral Theory · Mathematics 2007-05-23 Michael Baake , Dirk Frettlöh , Uwe Grimm

Novel imaging spin-filter techniques, which are based on low energy electron diffraction, are currently of high scientific interest. To improve the spin-detection efficiency a variety of new materials have been introduced in recent years. A…

Computational Physics · Physics 2015-11-18 Stephan Borek , Jürgen Braun , Hubert Ebert , Ján Minár

Orientation determination does not necessarily require complete knowledge of the local atomic arrangement in a material. We present a method for microstructural phase discrimination and orientation analysis of phases for which there is only…

Materials Science · Physics 2019-06-06 Aimo Winkelmann , Grzegorz Cios , Tomasz Tokarski , Gert Nolze , Ralf Hielscher , Tomasz Kocieł

When a high-energy electrons move in a crystal along one of the crystallographic planes the phenomenon of planar channeling is possible, in which the particles move in channels formed by the continuous potential of crystalline planes. Such…

Accelerator Physics · Physics 2018-04-04 N. F. Shul'ga , V. I. Truten'

Pinwheel patterns and their higher dimensional generalisations display continuous circular or spherical symmetries in spite of being perfectly ordered. The same symmetries show up in the corresponding diffraction images. Interestingly, they…

Mathematical Physics · Physics 2008-01-19 Michael Baake , Dirk Frettlöh , Uwe Grimm

Probing optical excitations with high resolution is important for understanding their dynamics and controlling their interaction with other photonic elements. This can be done using state-of-the-art electron microscopes, which provide the…

Materials Science · Physics 2021-10-13 Renwen Yu , Andrea Konečná , F. Javier García de Abajo

We theoretically propose a novel spin-dependent electronic transport mechanism in which the spin-unpolarized electron beam is split into different directions depending on spins at an atomic domain boundary in non-magnetic material.…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Tetsuro Habe , Mikito Koshino

The recent development of electron sensitive and pixelated detectors has attracted the use of four-dimensional scanning transmission electron microscopy (4D-STEM). Here, we present a precession electron diffraction assisted 4D-STEM…

Instrumentation and Detectors · Physics 2021-10-04 Jiwon Jeong , Niels Cautaerts , Gerhard Dehm , Christian H. Liebscher

Analysis with the characteristic functional of stochastic motion is used for the gradient spin echo measurement of restricted motion to clarify details of the diffraction-like effect in a porous structure. It gives the diffusive diffraction…

Materials Science · Physics 2010-10-07 Janez Stepisnik

The study of thin films and 2D materials, including transition metal dichalcogenides such as WSe$_2$ offers opportunities to leverage their properties in advanced sensors, quantum technologies, and device to optimize functional performance.…

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