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DECA‐ZONAX: a program for indexing zone‐axis patterns of decagonal quasicrystals
Author(s) -
Weber S.,
Singh A.
Publication year - 1998
Publication title -
journal of applied crystallography
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.429
H-Index - 162
ISSN - 1600-5767
DOI - 10.1107/s0021889897011035
Subject(s) - quasicrystal , deca , search engine indexing , physics , crystallography , optics , computer graphics (images) , computer science , condensed matter physics , chemistry , information retrieval , quantum mechanics
The crystallographic problem: When doing electron diffraction on decagonal quasicrystals one often faces the problem of having to identify the indices of a given zone axis. This is rather dif®cult, since the zone axes in the decagonal quasicrystals are not at discrete positions but are spread all along the twofold directions. This is because the reciprocal vectors that are parallel to each other in a crystal or icosahedral quasicrystal are not so in the decagonal quasicrystal. The pseudo-®vefold zone axis, for example, consists of more than one zone axis close to each other. Furthermore the choice of lattice constants for quasicrystal lattices is ambiguous, thus making a standardization of the indexing procedures more dif®cult. A method for identifying important zone axes for several decagonal phases with varying periodicities along their tenfold axes was proposed recently (Singh & Ranganathan, 1996a,b, 1997). This method uses ®ve coplanar reciprocal vectors and a sixth one perpendicular to them for the indexing. DECA-ZONAX is meant as a suite to the papers by Singh and Ranganathan, in order to provide the interested reader with the means to use this method for analyzing electron diffraction patterns (or Kikuchi patterns). DECA-ZONAX is intended to promote the use of indices instead of labels, in order to facilitate the exchange of data between the different scientists working in this ®eld.