NDLI: Crystal structures built from highly symmetrical units

Content Provider	EDP Sciences
Author	Jean-François Sadoc Jean Charvolin
Abstract	Condensed matter physicists have recently recognised that systems as different as metal elements and metallic alloys with dense atomic packings, semiconductors with covalent tetracoordinated bonds, water clathrates with hydrogen bonds, liquid crystals of cholesteric molecules with double twist and liquid crystals of amphiphilic molecules at liquid/liquid interfaces, build crystal structures exhibiting particular characteristics : namely cubic symmetries with no directly apparent relation to local order cannot propagate over long distances in these systems, because of the filling requirements of Euclidean space. The conflict between those two equirements must be relaxed by defects and it is the organization of defects which builds the crystal structures. The common features of these structures can be understood, if it is recognised that in each case ideal structures without defects can be built in the same curved space, the hypersphere S3, the packing requirements of which are compatible with the different local orderings of these various systems.
Ending Page	859
Starting Page	845
Page Count	15
File Format	HTM / HTML PDF
ISSN	11554304
Alternate Webpage(s)	http://dx.doi.org/10.1051/jp1:1992183
e-ISSN	12864862
Issue Number	6
Journal	Journal de Physique I
Volume Number	2
DOI	10.1051/jp1:1992183
Language	English
Publisher	EDP Sciences
Publisher Date	1992-06-01
Access Restriction	Subscribed
Rights Holder	Les Editions de Physique
Content Type	Text
Resource Type	Article
Subject	Statistical and Nonlinear Physics Engineering

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