Exotic distributions of rigid unit modes in the reciprocal spaces of framework aluminosilicates.

Dove, M. T. and Pryde, A. K. A. and Heine, V. and Hammonds, K. D. (2007) Exotic distributions of rigid unit modes in the reciprocal spaces of framework aluminosilicates. Journal of Physics Condensed Matter, 19. p. 275209. DOI https://doi.org/10.1088/0953-8984/19/27/275209

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Abstract

Until recently it was assumed that rigid unit modes, defined as the zerofrequency solutions to the dynamical equations for an infinite framework of rigid corner-linked tetrahedra, were confined to a small set of normal modes with wavevectors on lines or planes of special symmetry in reciprocal space. Using a search method that explores the full three-dimensional reciprocal space, we have located rigid unit modes with wavevectors on exotic curved surfaces in reciprocal space for a range of silicate minerals. This has led to the realization that the crystal structures of these minerals contain rather more topological floppiness than had previously been realized. The origin of the exotic RUM surfaces remains to be understood.

Item Type:	Article
Uncontrolled Keywords:	2007 AREP IA54 2007 P
Divisions:	03 - Mineral Sciences
Journal or Publication Title:	Journal of Physics Condensed Matter
Volume:	19
Page Range:	p. 275209
Identification Number:	https://doi.org/10.1088/0953-8984/19/27/275209
Depositing User:	Sarah Humbert
Date Deposited:	16 Feb 2009 13:02
Last Modified:	23 Jul 2013 10:06
URI:	http://eprints.esc.cam.ac.uk/id/eprint/249

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