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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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 |
|---|---|
| Publication: | Philosophical Magazine A |
| Publisher: | Taylor and Francis Group |
| 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.ac.in/id/eprint/10783 |
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