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Digital images from crystals, as projected from the third spatial dimension and recorded in atomic resolution with any kind of real-world microscope, feature necessarily broken symmetries of the translation-periodicity-restricted Euclidean…

Materials Science · Physics 2025-11-25 Tyler Bortel , Peter Moeck

This paper was motivated by the articles "Same or different - that is the question" in CrystEngComm (July 2020) and "Change to the definition of a crystal" in the IUCr newsletter (June 2021). Experimental approaches to crystal comparisons…

Materials Science · Physics 2024-06-21 Olga Anosova , Vitaliy Kurlin , Marjorie Senechal

CP-violating spin rotation and spin dichroism in noncentrosymmetric crystals is discussed.

High Energy Physics - Phenomenology · Physics 2007-05-23 V. G. Baryshevsky

The hexagonal MnTe is a prime material candidate for altermagnets, an emerging class of magnetic compounds characterized by the nontrivial interplay of antiparallel spin arrangements with their underlying crystal structures. Recognizing…

Materials Science · Physics 2025-03-25 Ao Wu , Di Cheng , Xinyun Wang , Meng Zeng , Chang Liu , Xinwei Li

Crystals are the materials which can be described by uniform periodic lattices. Traditionally, only the 1-, 2-, 3-, 4- and 6-fold rotation symmetries are allowed in crystals because other n-fold rotation symmetries are forbidden by the…

Materials Science · Physics 2013-12-02 Chaoyu He , Jianxin Zhong

Symmetry considerations are of extreme importance to the topological properties of crystals. A crystal field splitting {\delta} yields Dirac nodes near the Brillouin zone center in Cd3As2, but its value has yet to be determined with…

Mesoscale and Nanoscale Physics · Physics 2020-01-08 G. Krizman , T. Schumann , S. Tchoumakov , B. A. Assaf , S. Stemmer , L. A. de Vaulchier , Y. Guldner

To understand the photophysics of molecular aggregates, exciton model of J- and H-aggregate has been extensively utilized. However, it lacks consideration of crystal symmetry. Although discrete molecules may lack symmetry, their aggregates…

Mesoscale and Nanoscale Physics · Physics 2023-10-10 Qingyun Wan , Chi-Ming Che

The high-temperature ceramic compound Al5C3N with promising application usage belongs to the scarcely studied Al-C-N system. It was originally reported as an ordered compound in the non-centrosymmetric space group P63mc and described as a…

Non-centrosymmetric superconductors, whose crystal structure is absent of inversion symmetry, have recently received special attentions due to the expectation of unconventional pairings and exotic physics associated with such pairings. The…

We review recent progress in applying information- and computation-theoretic measures to describe material structure that transcends previous methods based on exact geometric symmetries. We discuss the necessary theoretical background for…

Materials Science · Physics 2014-11-12 Dowman P. Varn , James P. Crutchfield

Despite coronary artery calcium scoring being considered a largely solved problem within the realm of medical artificial intelligence, this paper argues that significant improvements can still be made. By shifting the focus from pathology…

Crystallization is a key step in macromolecular structure determination by crystallography. While a robust theoretical treatment of the process is available, due to the complexity of the system, the experimental process is still largely one…

Biomolecules · Quantitative Biology 2016-08-02 Irem Altan , Patrick Charbonneau , Edward H. Snell

This chapter discusses the equilibrium crystal shape (ECS) from a physical perspective, beginning with a historical introduction to the Wulff theorem. It takes advantage of excellent prior reviews, particularly in the late 1980's, recapping…

Statistical Mechanics · Physics 2015-01-12 Theodore L. Einstein

In July 2012 the General Assembly of the United Nations resolved that 2014 should be the International Year of Crystallography, 100 years since the award of the Nobel Prize for the discovery of X-ray diffraction by crystals. On this special…

Metric Geometry · Mathematics 2014-12-23 Toshikazu Sunada

A recent Comment [arXiv:0806.2142] has argued that "there is a simple duality between A-site and B-site" R3c ABO$_3$ materials and that our Letter [PRL 100, 167203 (2208)] "breaks this duality by ignoring a non-polar distortion that is…

Materials Science · Physics 2008-07-04 Craig J. Fennie

Time reversal dictates that nonmagnetic, centrosymmetric crystals cannot be spin-polarized as a whole. However, it has been recently shown that the electronic structure in these crystals can in fact show regions of high spin-polarization,…

Until recently, spin-polarization in nonmagnetic materials was the exclusive territory of non- centrosymmetric structures. It was recently shown that a form of hidden spin polarization (named the Rashba-2 or R-2 effect) could exist in…

Materials Science · Physics 2015-06-18 Qihang Liu , Xiuwen Zhang , Hosub Jin , Kanber Lam , Jino Im , Arthur J. Freeman , Alex Zunger

In this erratum we explain how to implement some axioms stated in our paper of 2009 so as to obtain a purely "local" characterization for finite $B_2$-crystals, which was declared but not clarified at some moments there. Also we correct…

Combinatorics · Mathematics 2020-02-13 Vladimir Danilov , Alexander Karzanov , Gleb Koshevoy

The prediction of energetically stable crystal structures formed by a given chemical composition is a central problem in solid-state physics. In principle, the crystalline state of assembled atoms can be determined by optimizing the energy…

Materials Science · Physics 2022-06-01 Minoru Kusaba , Chang Liu , Ryo Yoshida

Finding an optimal match between two different crystal structures underpins many important materials science problems, including describing solid-solid phase transitions, developing models for interface and grain boundary structures. In…

Materials Science · Physics 2020-02-21 Félix Therrien , Peter Graf , Vladan Stevanović
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