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

Acta Crystallographica. Section A, Foundations and Advances
Hans Grimmer

Abstract

Neither International 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.

Citations

Mar 3, 2015·Acta Crystallographica. Section A, Foundations and Advances·Howard D Flack
Feb 10, 2016·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·D P Varn, J P Crutchfield
Oct 1, 2015·Acta Crystallographica. Section C, Structural Chemistry·Howard D Flack
Sep 1, 2016·Acta Crystallographica. Section A, Foundations and Advances·Massimo Nespolo, Mois I Aroyo
Apr 3, 2018·Advanced Structural and Chemical Imaging·P Moeck, P DeStefano

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