From symmetry operations to dimensional restrictions: a mathematical formalization of unit-cell constraints for the seven crystal systems in crystallography

Date:2026-10-01 clicks:

DOI number:10.1107/S1600576725010271

Affiliation of Author(s):University of Science and Technology Beijing

Journal:Journal of Applied Crystallography

Abstract:While the dimensional constraints of crystal systems are well documented in crystallography, chemistry and materials science textbooks, their pedagogical presentation predominantly relies on descriptive narratives lacking rigorous mathematical derivation, resulting in incomplete comprehension and persistent misconceptions among both instructors and learners. This study establishes a mathematical f

Co-author:Ya Jing An, Mike Glazer, Quan Lin Liu

First Author:Zhen Song

Indexed by:Journal paper

Document Type:期刊论文

Volume:59

Issue:1

Page Number:232-238

ISSN No.:1600-5767

Translation or Not:no

Date of Publication:2026-02-01

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