Restricted accessMoreSectionsView PDF ToolsAdd to favoritesDownload CitationsTrack Citations ShareShare onFacebookTwitterLinked InRedditEmail Cite this article Moore M. D. , Tilley R. J. D and Williams R. P. 1996The systematics of block-structure shift latticesProc. R. Soc. Lond. A.452841–857http://doi.org/10.1098/rspa.1996.0042SectionRestricted accessArticleThe systematics of block-structure shift lattices M. D. Moore Google Scholar Find this author on PubMed Search for more papers by this author , R. J. D Tilley Google Scholar Find this author on PubMed Search for more papers by this author and R. P. Williams Google Scholar Find this author on PubMed Search for more papers by this author M. D. Moore Google Scholar Find this author on PubMed Search for more papers by this author , R. J. D Tilley Google Scholar Find this author on PubMed Search for more papers by this author and R. P. Williams Google Scholar Find this author on PubMed Search for more papers by this author Published:09 April 1996https://doi.org/10.1098/rspa.1996.0042AbstractThe binary and ternary niobium oxides structurally related to H—Nb2O5 have structures made up of columns of ReO3-type linked by boundary crystallographic shear planes. They are known as block structures in view of their appearance in projection. In this paper, the structures have been treated as two-dimensional shift lattices in which the ReO3-like columns are regarded as lattice fragments. The paper shows how the shift-lattice parameters may be derived and these are used to illustrate how the structures can be described in a systematic fashion and how hypothetical or new structures can also be incorporated into the framework of known block structures. It is also shown that many Wadsley defects occurring in block structures can be explained as simple manifestations of the operation of shift-lattice principles and in such instances the term ‘defects’ is inappropriate. The paper concludes with a discussion of the way in which the shift-lattice approach avoids difficulties associated with semicommensurate and incommensurate diffraction patterns which can occur in block-structure systems.FootnotesThis text was harvested from a scanned image of the original document using optical character recognition (OCR) software. As such, it may contain errors. Please contact the Royal Society if you find an error you would like to see corrected. Mathematical notations produced through Infty OCR. Previous ArticleNext Article VIEW FULL TEXT DOWNLOAD PDF FiguresRelatedReferencesDetailsCited by Weber D, Huber M, Gorelik T, Abakumov A, Becker N, Niehaus O, Schwickert C, Culver S, Boysen H, Senyshyn A, Pöttgen R, Dronskowski R, Ressler T, Kolb U and Lerch M (2017) Molybdenum Oxide Nitrides of the Mo 2 (O,N,□) 5 Type: On the Way to Mo 2 O 5 , Inorganic Chemistry, 10.1021/acs.inorgchem.7b00551, 56:15, (8782-8792), Online publication date: 7-Aug-2017. This Issue09 April 1996Volume 452Issue 1947 Article InformationDOI:https://doi.org/10.1098/rspa.1996.0042Published by:Royal SocietyPrint ISSN:1364-5021Online ISSN:1471-2946History: Manuscript received24/12/1994Manuscript accepted10/07/1995Published online01/01/1997Published in print09/04/1996 License:Scanned images copyright © 2017, Royal Society Citations and impact