The shift lattice: an interpretation of some infinitely adaptive structures

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Abstract

The structures of various ordered, but non-periodic, systems have been investigated and exhibit features which can be directly described by means of a construction which the authors call the shift lattice , which is a simple generalization of the concept of the lattice. This paper is devoted to a description of the properties of the one-dimensional shift lattice and its Fourier transform. Its applications to the phases related to L–Ta 2 O 5 and some Bi 2 TeO 5 -related systems are outlined and its relation to the theory of modulated structures and their Fourier transforms is briefly discussed.

Publisher

The Royal Society

Subject

General Medicine

Reference18 articles.

1. Anderson J. S. 1973 J. chem. Soc. Dalton Trans. 1107.

2. Bracewell R. 1978 Fourier transforms and their applications. McGraw-Hill.

3. Champeney D. C. 1987 A handbook of Fourier theorems. Cambridge University Press.

4. Gaskill J. D. 1978 Linear systems Fourier transforms and optics. John Wiley.

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1. A high resolution electron microscopic observation and computer image simulation of incommensurate structures in the Ta2O5-WO3 system;Journal of Electron Microscopy;1998-01-01

2. A shift-lattice description of some face centred cubic alloy superstructures;Journal of Materials Chemistry;1998

3. An Interpretation on Incommensurate Structures ofL-Ta2O5-Type Phases in the Ta2O5–WO3System;Journal of Solid State Chemistry;1996-11

4. The systematics of block-structure shift lattices;Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences;1996-04-09

5. Structures containing shift-lattice distributed planar faults;Acta Crystallographica Section B Structural Science;1995-10-01

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