TOPICAL REVIEW

Icosahedral clusters, icosaheral order and stability of quasicrystals—a view of metallurgy*

Published 25 April 2008 • 2008 National Institute for Materials Science
, , Citation An Pang Tsai 2008 Sci. Technol. Adv. Mater. 9 013008 DOI 10.1088/1468-6996/9/1/013008

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Author affiliations

1 Institute of Multidisciplinary Research for Advanced Materials, Tohoku University, Sendai 980-8577, Japan and National Institute for Materials Science, 305-0047 Tsukuba, Japan

Dates

  1. Received 9 October 2007
  2. Accepted 15 January 2008
  3. Published
1468-6996/9/1/013008

Abstract

We review the stability of various icosahedral quasicrystals (iQc) from a metallurgical viewpoint. The stability of stable iQcs is well interpreted in terms of Hume-Rothery rules, i.e. atomic size factor and valence electron concentration, e/a. For metastable iQcs, we discuss the role of phason disorder introduced by rapid solidification, in structural stability and its interplay with chemical order and composition.

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    Invited paper.

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10.1088/1468-6996/9/1/013008