纯点衍射和几乎周期性

IF 2.3 4区化学 Q3 CHEMISTRY, MULTIDISCIPLINARY

Israel Journal of Chemistry Pub Date : 2024-11-14 DOI:10.1002/ijch.202300158

Daniel Lenz, Timo Spindeler, Nicolae Strungaru

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引用次数: 0

摘要

本文讨论纯点衍射及其与各种近似周期性概念的联系。我们解释了为什么斐波那契链不适合玻尔几乎周期的经典概念，以及它如何适合均值、贝西科维奇和Weyl几乎周期点集的类别。我们报告了最近将纯点衍射表征为底层结构的平均几乎周期性的结果，并讨论了复振幅如何适应这种情况。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

$Pure Point Diffraction and Almost Periodicity$

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Pure Point Diffraction and Almost Periodicity

This article deals with pure point diffraction and its connection to various notions of almost periodicity. We explain why the Fibonacci chain does not fit into the classical concept of Bohr almost periodicity and how it fits into the classes of mean, Besicovitch and Weyl almost periodic point sets. We report on recent results which characterize pure point diffraction as mean almost periodicity of the underlying structure, and discuss how the complex amplitudes fit into this picture.

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来源期刊

Israel Journal of Chemistry 化学-化学综合

CiteScore

6.20

自引率

0.00%

发文量

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.