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Average lattices

Baranidharan, S (1997) Average lattices. In: Progress in Crystal Growth and Characterization of Materials, 34 (1-4). pp. 157-164.

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Abstract

Statistically averaged lattices provide a common basis to understand the diffraction properties of structures displaying deviations from regular crystal structures. An average lattice is defined and examples are given in one and two dimensions along with their diffraction patterns. The absence of periodicity in reciprocal space corresponding to aperiodic structures is shown to arise out of different projected spacings that are irrationally related, when the grid points are projected along the chosen coordinate axes. It is shown that the projected length scales are important factors which determine the existence or absence of observable periodicity in the diffraction pattern more than the sequence of arrangement.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to Elsevier.
Keywords: Lattice;Diffraction;Incommensurate;Quasicrystals
Department/Centre: Division of Biological Sciences > Molecular Biophysics Unit
Depositing User: Anka Setty
Date Deposited: 22 Jan 2007
Last Modified: 19 Sep 2010 04:34
URI: http://eprints.iisc.ac.in/id/eprint/9553

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