Partial order among the 14 Bravais types of lattices: basics and applications

Author:

Grimmer Hans

Abstract

NeitherInternational Tables for Crystallography(ITC) nor available crystallography textbooks state explicitly which of the 14 Bravais types of lattices are special cases of others, although ITC contains the information necessary to derive the result in two ways, considering either the symmetry or metric properties of the lattices. The first approach is presented here for the first time, the second has been given by Michael Klemm in 1982. Metric relations between conventional bases of special and general lattice types are tabulated and applied to continuous equi-translation phase transitions.

Publisher

International Union of Crystallography (IUCr)

Subject

Inorganic Chemistry,Physical and Theoretical Chemistry,Condensed Matter Physics,General Materials Science,Biochemistry,Structural Biology

Reference15 articles.

1. Borchardt-Ott, W. (1997). Kristallographie, 5th ed. Berlin: Springer.

2. Burns, G. & Glazer, A. M. (1990). Space Groups for Solid State Scientists. San Diego: Academic Press.

3. Experimental evidence for a continuous phase transition in a multidimensional ferroelectric

4. Gruber, B. (2002). International Tables for Crystallography, Vol. A, ch. 9.3. Dordrecht: Kluwer Academic Publishers.

Cited by 10 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. Boris Gruber's contributions to mathematical crystallography;Acta Crystallographica Section A Foundations and Advances;2023-05-01

2. Crystallographic analysis of the lattice metric (CALM) from single electron backscatter diffraction or transmission Kikuchi diffraction patterns;Journal of Applied Crystallography;2021-05-28

3. Accurate lattice parameters from 2D-periodic images for subsequent Bravais lattice type assignments;Advanced Structural and Chemical Imaging;2018-03-28

4. Deformations of the α-Fe2O3 rhombohedral lattice across the Néel temperature;Acta Crystallographica Section B Structural Science, Crystal Engineering and Materials;2017-01-23

5. Contributions of Howard D. Flack to the X-ray Crystallography;Nihon Kessho Gakkaishi;2017

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