Rational approximant structures and phason strain in icosahedral quasicrystals

Mukhopadhyay, N. K. ; Ishihara, K. N. ; Ranganathan, S. ; Chattopadhyay, K. (1991) Rational approximant structures and phason strain in icosahedral quasicrystals Acta Metallurgica et Materialia, 39 (6). pp. 1151-1159. ISSN 0956-7151

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/095671...

Related URL: http://dx.doi.org/10.1016/0956-7151(91)90203-D

Abstract

The degeneracy of the reciprocal space with respect to the icosahedral symmetry has been demonstrated by experimental diffraction patterns obtained from rapidly solidified Al-Mn-Si, Mg-Al-Ag, Mg-Al-Zn alloys. The distortion in diffraction patterns has been attributed to rational approximant (RA) structures. The distorted pattern obtained from Mg-Al-Zn system has been indexed based on 3/2 RA structure. The shift parameter has been quantified and shown to vary linearly with the pseudospace counterpart of the corresponding quasicrystalline reciprocal vector, which is the characteristic feature of phason strain.

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