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Average lattices and aperiodic structures

Gopal, ESR and Baranidharan, S (1994) Average lattices and aperiodic structures. In: Bulletin of materials science, 17 (6). 783 -794 .

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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
Publication: Bulletin of materials science
Publisher: Indian academy of sciences
Additional Information: Copyright of this article belongs to Indian academy of sciences.
Keywords: Lattice; diffraction; incommensurate; quasicrystals
Department/Centre: Division of Physical & Mathematical Sciences > Physics
Date Deposited: 25 Mar 2011 09:48
Last Modified: 25 Mar 2011 09:48
URI: http://eprints.iisc.ac.in/id/eprint/36262

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