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Indexing of decagonal quasicrystals II. A comparison of zone-axis pattern maps of decagonal phases of different periodicities

Singh, Alok and Ranganathan, S (1996) Indexing of decagonal quasicrystals II. A comparison of zone-axis pattern maps of decagonal phases of different periodicities. In: Philosophical Magazine A, 74 (4). pp. 841-859.

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Official URL: http://www.tandfonline.com/doi/abs/10.1080/0141861...

Abstract

The reciprocal space of the different decagonal phases $T_2, T_4, T_6$ and $T_8$, corresponding to periodicities of about 0.4, 0.8, 1.2 and 1.6 nm respectively are studied. Five prominent reciprocal vectors have been identified for the $T_2$-and $T_4$-phases, and six prominent reciprocal vectors for $T_6$ and $T_8$. Important zone axes have been identified by drawing traces of these vectors on a stereogram. Six integer indices of the zone axes have been determined for these zone axes. The angular separation of the zone axes have been calculated from these indices. The c/a ratio has been chosen to be 4.236, close to $T^3$, for the $T_2$-phase and the corresponding multiples for the other phases. The angular relationships between zone axes were also calculated by spherical trigonometry using the same reciprocal vectors and the c/a ratio. The angular values obtained from the indices, spherical trigonometry and experiments show good correspondence. A comparison of the reciprocal spaces of the decagonal phases of different periodicities has been made and the possible causes of the multiple periodicity discussed on the basis of the results.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to Taylor and Francis Group.
Department/Centre: Division of Mechanical Sciences > Materials Engineering (formerly Metallurgy)
Date Deposited: 28 Aug 2007
Last Modified: 10 Jan 2012 06:19
URI: http://eprints.iisc.ernet.in/id/eprint/10783

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