25 Years of Quasiperiodic Crystallography in Physical Space using the Average Unit Cell Approach

IF 2.3 4区 化学 Q3 CHEMISTRY, MULTIDISCIPLINARY Israel Journal of Chemistry Pub Date : 2024-04-22 DOI:10.1002/ijch.202300141
J. Wolny, I. Bugański, R. Strzałka, J. Śmietańska‐Nowak, A. Wnęk
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Abstract

Since the discovery of quasicrystals 40 years ago, many new paradigms and methods have been introduced to crystallography. 25 years ago, a statistical method of structure and diffraction analysis of aperiodic materials was proposed and, over these years, developed to describe model and real systems. This short review paper briefly invokes the basic concepts of the method: a reference lattice and an average unit cell, but also gives an overview of its application to atomic structure and diffraction analysis of various systems. Results are briefly discussed for mathematical sequences (Fibonacci and Thue‐Morse), model quasilattices in 2D and 3D (Penrose and Ammann tiling), refinements of real decagonal and icosahedral quasicrystals, analysis of structure disorder in quasicrystals, description of modulated systems, including macromolecular biological systems, and beyond usual application in crystallography.
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使用平均单元格方法进行物理空间准周期晶体学研究 25 年
自 40 年前发现准晶体以来,晶体学引入了许多新的范式和方法。25 年前,人们提出了对非周期性材料进行结构和衍射分析的统计方法。这篇简短的综述论文简要引用了该方法的基本概念:参考晶格和平均单胞,还概述了该方法在原子结构和各种系统的衍射分析中的应用。本文简要讨论了数学序列(斐波纳契和图-莫斯)、二维和三维模型准晶格(彭罗斯和安曼平铺)、实际十边形和二十面体准晶体的细化、准晶体结构紊乱分析、调制系统(包括大分子生物系统)描述以及晶体学常规应用之外的其他结果。
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来源期刊
Israel Journal of Chemistry
Israel Journal of Chemistry 化学-化学综合
CiteScore
6.20
自引率
0.00%
发文量
62
审稿时长
6-12 weeks
期刊介绍: The fledgling State of Israel began to publish its scientific activity in 1951 under the general heading of Bulletin of the Research Council of Israel, which quickly split into sections to accommodate various fields in the growing academic community. In 1963, the Bulletin ceased publication and independent journals were born, with Section A becoming the new Israel Journal of Chemistry. The Israel Journal of Chemistry is the official journal of the Israel Chemical Society. Effective from Volume 50 (2010) it is published by Wiley-VCH. The Israel Journal of Chemistry is an international and peer-reviewed publication forum for Special Issues on timely research topics in all fields of chemistry: from biochemistry through organic and inorganic chemistry to polymer, physical and theoretical chemistry, including all interdisciplinary topics. Each topical issue is edited by one or several Guest Editors and primarily contains invited Review articles. Communications and Full Papers may be published occasionally, if they fit with the quality standards of the journal. The publication language is English and the journal is published twelve times a year.
期刊最新文献
Cover Picture: (Isr. J. Chem. 8-9/2024) Special Issue on RNA-Based Catalysts that Revolutionized the Discovery of Bioactive Peptides Hexagonal and Trigonal Quasiperiodic Tilings Breaking the Degeneracy of Sense Codons – How Far Can We Go? Cover Picture: (Isr. J. Chem. 6-7/2024)
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