Jump to ContentJump to Main Navigation
Symmetry in Crystallography$
Users without a subscription are not able to see the full content.

Paolo Radaelli

Print publication date: 2011

Print ISBN-13: 9780199550654

Published to Oxford Scholarship Online: December 2013

DOI: 10.1093/acprof:oso/9780199550654.001.0001

Page of

PRINTED FROM OXFORD SCHOLARSHIP ONLINE (www.oxfordscholarship.com). (c) Copyright Oxford University Press, 2015. All Rights Reserved. Under the terms of the licence agreement, an individual user may print out a PDF of a single chapter of a monograph in OSO for personal use (for details see http://www.oxfordscholarship.com/page/privacy-policy).date: 29 November 2015

The 14 3D Bravais lattices

(p.83) 9 The 14 3D Bravais lattices
Symmetry in Crystallography

Paolo G. Radaelli

Oxford University Press

This chapter constructs all the possible 3D translation sets compatible with the previously introduced 3D point groups, leading to the well-known fourteen Bravais lattices. For each crystal system, the compatible lattices (both primitive and centred) are defined, together with the corresponding holohedry (lattice symmetry). The more complex centred lattices, such as the R-centred trigonal lattice, receive particular attention. A reference is made to the different unit cell conventions (with a particular note about the monoclinic system), although this is too intricate a subject for such an introductory level textbook.

Keywords:   holohedry, Bravais lattices, crystal system

Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us .