Homometrism in close-packed structures

Author:

Mardix S.

Abstract

Homometric structures are non-congruent structures having identical X-ray intensity distributions. It has so far been assumed that such structures, while theoretically interesting, would not be realized in practice. Homometrism in close-packed structures is shown to be a realistic possibility. Some general rules applicable to homometric pairs are presented; it is shown that an infinite number of them can be derived from one-dimensional homometric pairs. An exhaustive search of close-packed structures with periods of up to 26 reveals that the smallest period of a homometric pair is 15 and that their number increases rapidly with the period. Homometrism in polytypic structures is further discussed.

Publisher

International Union of Crystallography (IUCr)

Subject

Structural Biology

Cited by 9 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Understanding extended homometry based on complementary crystallographic orbit sets;Acta Crystallographica Section A Foundations and Advances;2024-02-08

2. A general method for searching for homometric structures;Acta Crystallographica Section B Structural Science, Crystal Engineering and Materials;2022-01-15

3. Computational geometric aspects of rhythm, melody, and voice-leading;Computational Geometry;2010-01

4. Structure and Bonding;Electrochemistry for Materials Science;2008

5. Effect of protonation on the formation of microcomposition structure of materials;International Journal of Hydrogen Energy;2000-04-01

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3