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We construct an electron optical system to investigate Bragg diffraction (the crystal lattice plane, $10^{-2}$-$10^{-3}$ rad) with the objective lens turned off by adjusting the current in the intermediate lenses. A crossover was located on…

Materials Science · Physics 2019-11-06 Hiroshi Nakajima , Atsuhiro Kotani , Ken Harada , Shigeo Mori

The electronic properties of two-dimensional (2D) materials depend sensitively on the underlying atomic arrangement down to the monolayer level. Here we present a novel strategy for the determination of the band gap and complex dielectric…

Structure-property relationships in ordered materials have long been a core principle in materials design. However, the intentional introduction of disorder into materials provides structural flexibility and thus access to material…

In ultrafast electron diffraction (UED) experiments, accurate retrieval of time-resolved structural parameters, such as atomic coordinates and thermal displacement parameters, requires an accurate scattering model. Unfortunately,…

Materials Science · Physics 2023-01-03 Daniel B. Durham , Colin Ophus , Khalid M. Siddiqui , Andrew M. Minor , Daniele Filippetto

The method of assessing porosity using images from scanning electron microscopy is ineffective in situations where the substrate and the coating have a significantly different average atomic number, which results in a different contrast of…

Applied Physics · Physics 2022-12-16 Andrzej M. Żak , Anna Wieczorek , Agnieszka Chowaniec , Lukasz Sadowski

We study the phase diagram and the commensurate-incommensurate transitions in a phase field model of a two-dimensional crystal lattice in the presence of an external pinning potential. The model allows for both elastic and plastic…

Other Condensed Matter · Physics 2007-05-23 C. V. Achim , M. Karttunen , K. R. Elder , E. Granato , T. Ala-Nissila , S. C. Ying

From our previous models of martensitic transformation, the continuous matrices of atomic displacements and lattice deformations from face-centred-cubic (fcc) to body centred-cubic (bcc) phases are calculated in agreement with different…

Materials Science · Physics 2015-06-23 Cyril Cayron

Nanoscale strain mapping by four-dimensional scanning transmission electron microscopy (4D-STEM) relies on determining the precise locations of Bragg-scattered electrons in a sequence of diffraction patterns, a task which is complicated by…

The performance of electron energy-loss spectrometers can often be limited by their electron-optical aberrations. Due to recent developments in high energy-resolution and momentum-resolved electron energy loss spectroscopy (EELS), there is…

Materials Science · Physics 2023-02-28 Yueming Guo , Andrew R. Lupini

Layered materials (LMs) are at the centre of an ever increasing research effort due to their potential use in a variety of applications. The presence of imperfections, such as bi- or multilayer areas, holes, grain boundaries, isotropic and…

The aim of this work is to present theoretical tools to study wave propagation in elastic waveguides and perform multi-frequency scattering inversion to reconstruct small shape defects in a 2D and 3D elastic plate. Given surface…

Analysis of PDEs · Mathematics 2022-10-06 Eric Bonnetier , Angele Niclas , Laurent Seppecher

The local variation in inter-atomic distances, or local lattice strain often influences significantly material properties of nanoparticles. Strain measurement with ~1% precision is provided by recent atomic-resolution electron microscopy.…

Materials Science · Physics 2021-07-09 Kohei Aso , Jens Maebe , Xuan Quy Tran , Tomokazu Yamamoto , Yoshifumi Oshima , Syo Matsumura

Estimating relative pose from image pairs fundamentally requires only a minimal subset of geometrically consistent correspondences. However, most learning-based approaches rely on dense matching or direct regression, leading to redundancy…

Computer Vision and Pattern Recognition · Computer Science 2026-05-20 Prateeth Rao

We study spectral algorithms in the setting where kernels are learned from data. We introduce the effective span dimension (ESD), an alignment-sensitive complexity measure that depends jointly on the signal, spectrum, and noise level…

Machine Learning · Computer Science 2026-05-12 Dongming Huang , Zhifan Li , Yicheng Li , Qian Lin

During the last few years, serial electron crystallography (Serial Electron Diffraction, SerialED) has been gaining attention for the structure determination of crystalline compounds that are sensitive to the irradiation of the electron…

Materials Science · Physics 2025-07-29 Sergi Plana-Ruiz , Penghan Lu , Govind Ummethala , Rafal Dunin-Borkowski

Resolving pseudosymmetry has long presented a challenge for electron backscatter diffraction (EBSD) and has been notoriously challenging in the case of tetragonal ZrO2 in particular. In this work, a method is proposed to resolve…

Materials Science · Physics 2020-03-11 Edward L. Pang , Peter M. Larsen , Christopher A. Schuh

Spectra of suitably chosen Pisot-Vijayaraghavan numbers represent non-trivial examples of self-similar Delone point sets of finite local complexity, indispensable in quasicrystal modeling. For the case of quadratic Pisot units we…

Number Theory · Mathematics 2020-10-09 Petr Ambrož , Zuzana Masáková , Edita Pelantová

Precise alignment of the electron beam is critical for successful application of scanning transmission electron microscopes (STEM) to understanding materials at atomic level. Despite the success of aberration correctors, aberration…

Geometric frustration is a widespread phenomenon in physics, materials science, and biology, occurring when the geometry of a system prevents local interactions from being all accommodated. The resulting manifold of nearly degenerate…

Materials Science · Physics 2025-07-22 Oliver Lin , Zhiheng Lyu , Hsu-Chih Ni , Xiaokang Wang , Yetong Jia , Chu-Yun Hwang , Lehan Yao , Jian-Min Zuo , Qian Chen

Microwave Imaging is an essential technique for reconstructing the electrical properties of an inaccessible medium. Many approaches have been proposed employing algorithms to solve the Electromagnetic Inverse Scattering Problem associated…

Computational Physics · Physics 2025-06-03 André Costa Batista , Ricardo Adriano , Lucas S. Batista