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Accurately determining the crystallographic structure of a material, organic or inorganic, is a critical primary step in material development and analysis. The most common practices involve analysis of diffraction patterns produced in…

Accurate structural analysis is essential to gain physical knowledge and understanding of atomic-scale processes in materials from atomistic simulations. However, traditional analysis methods often reach their limits when applied to…

Processes that can produce states of broken chiral symmetry are of particular interest to physics, chemistry and biology. Chiral symmetry breaking during crystallization of sodium chlorate occurs via the production of secondary crystals of…

Other Condensed Matter · Physics 2009-11-10 Cristobal Viedma

As "2D" materials (i.e. materials just a few atoms thick) continue to gain prominence, understanding their symmetries is critical for unlocking their full potential. In this work, we present comprehensive tables that tabulate the rod group…

Materials Science · Physics 2025-06-17 Bernard Field , Sinéad M. Griffin

The quantum-mechanical expression for the polarization of a crystalline solid does not bear any resemblance to the (trivial) expression for the dipole of a bounded crystallite; and in fact it has been proved via a conceptually different…

Materials Science · Physics 2021-02-08 Raffaele Resta

Given recipe of qualitative, kinetic modelling by geometric methods of three-dimensional dendritic crystals. Characteristic features of the perturbations appearing on the surface of a spherical body, leading to different scenarios of the…

Materials Science · Physics 2018-10-05 Alexander S. Prokhoda

Dilute dipolar Ising magnets remain a notoriously hard problem to tackle both analytically and numerically because of long-ranged interactions between spins as well as rare region effects. We study a new type of anisotropic dilute dipolar…

Disordered Systems and Neural Networks · Physics 2019-08-28 Tushar Kanti Bose , Roderich Moessner , Arnab Sen

Transitions between distinct obstructed atomic insulators (OAIs) protected by crystalline symmetries, where electrons form molecular orbitals centering away from the atom positions, must go through an intermediate metallic phase. In this…

Disordered Systems and Neural Networks · Physics 2024-04-12 Fa-Jie Wang , Zhen-Yu Xiao , Raquel Queiroz , B. Andrei Bernevig , Ady Stern , Zhi-Da Song

Crystalline materials can form different structural arrangements (i.e. polymorphs) with the same chemical composition, exhibiting distinct physical properties depending on how they were synthesized or the conditions under which they…

Materials Science · Physics 2025-06-16 Sadman Sadeed Omee , Lai Wei , Sourin Dey , Jianjun Hu

It is shown that the long-standing puzzle of incommensurate crystal structure of AuTe$_2$ can be solved, if this material is considered as a negative charge-transfer system. Using modern computational methods, we demonstrate that charge…

Strongly Correlated Electrons · Physics 2018-10-12 Sergey V. Streltsov , Valerii V. Roizen , Alexey V. Ushakov , Artem R. Oganov , Daniel I. Khomskii

Crystal structures can be viewed as assemblies of space-filling polyhedra, which play a critical role in determining material properties such as ionic conductivity and dielectric constant. However, most conventional crystal structure…

Materials Science · Physics 2026-03-20 Tomoyasu Yokoyama , Kazuhide Ichikawa , Hisashi Naito

Since the 1920s, packing arguments have been used to rationalize crystal structures in systems ranging from atomic mixtures to colloidal crystals. Packing arguments have recently been applied to complex nanoparticle structures, where they…

Soft Condensed Matter · Physics 2018-05-09 Rose Cersonsky , Greg van Anders , Paul M. Dodd , Sharon C. Glotzer

This study introduces a novel approach for crystal structure analysis, utilizing Inverse EXAFS Analysis (IEA). To assess the reliability of IEA, we applied it to various experimentally studied materials, including LiCrO2 and CuFeO2. Our…

Materials Science · Physics 2024-09-17 Osman Murat Ozkendir

This article, showing that almost all objects in the title are asymmetric, is re-typed from a manuscript I wrote somewhere around 1980 (after the papers of Bang and Friedland on the permanent conjecture but before those of Egorychev and…

Combinatorics · Mathematics 2015-07-09 Peter J. Cameron

Crystal Structure Prediction (CSP) of molecular crystals plays a central role in applications, such as pharmaceuticals and organic electronics. CSP is challenging and computationally expensive due to the need to explore a large search space…

In crystallography, a structure is typically represented by the arrangement of atoms in the direct space. Furthermore, space group symmetry and Wyckoff site notations are applied to characterize crystal structures with only a few variables.…

Materials Science · Physics 2026-02-12 Osman Goni Ridwan , Hongfei Xue , Youxing Chen , Harish Cherukuri , Qiang Zhu

Recent formal classifications of crystalline topological insulators predict that the combination of time-reversal and rotational symmetry gives rise to topological invariants beyond the ones known for other lattice symmetries. Although the…

Strongly Correlated Electrons · Physics 2021-12-01 Jans Henke , Mert Kurttutan , Jorrit Kruthoff , Jasper van Wezel

Electronic nematic order has been reported in a rich landscape of materials, encompassing not only a range of intertwined correlated and topological phenomena, but also different underlying lattice symmetries. Motivated by these findings,…

Strongly Correlated Electrons · Physics 2025-09-15 Matthias Hecker , Anant Rastogi , Daniel F. Agterberg , Rafael M. Fernandes

A comparative study of the crystalline and molecular structures of trifluoroacetate trihydrates of Tb(III) prepared from Tb(OH)_3 and Tb_2(CO_3)_3 by reaction with trifluoroacetic acid is made. Elemental analysis of the two reaction…

Materials Science · Physics 2007-05-23 V. I. Belyi , V. N. Ikorskii , A. A. Rastorguev , A. A. Remova

Cadmium selenide (CdSe) is an inorganic semiconductor with unique optical and electronic properties that made it useful in various applications, including solar cells, light-emitting diodes, and biofluorescent tagging. In order to…

Materials Science · Physics 2023-05-30 Linshuang Zhang , Manyi Yang , Shiwei Zhang , Haiyang Niu
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