Atom cluster arrangements in cubic approximant phases of icosahedral quasicrystals

Kenji Hiraga, Kazumasa Sugiyama, Tetsu Ohsuna

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20 Citations (Scopus)


Structural characteristics of six cubic approximant phases, α -(AlPdMnSi), P-(AlPdMnSi), y-(AlCuRuSi), (Al, Zn)49Mg32, α -(AlMnSi) and All2Mn, of icosa¬hedral quasicrystals are discussed systematically in terms of atom cluster arrangements. The structures of those approximants can be classified into two groups: firstly, that characterized as a simple-cubic packing of atom clusters with icosahedral symmetry or a ‘CsCl’-type packing of two types of atom clusters, and, secondly, a body-centred packing of one type of atom cluster with icosahedral symmetry. The former, α -(AlPdMnSi), β -(AlPdMnSi) and γ -(AlCuRuSi), is suggested to be approximant phases of F-type icosahedral phases, and the latter, (Al, Zn)49Mg32, α -(AlMnSi) and Al)12Mn, to be those of P-type icosa¬hedral phases. Atomic arrangements of the atom clusters with icosahedral symmetry in the approximant phases are characterized by the existence of a fundamental icosahedral cluster and are classified into two groups by the manner of the packing of atoms on the fundamental icosahedral cluster: namely, the so-called octahedral (α -(AlMnSi) and Al12Mn) and tetrahedral (α-(AlPdMnSi), (β-(AlPdMnSi), γ-(AlCuRuSi) and (Al, Zn)49Mg32) packings.

Original languageEnglish
Pages (from-to)1051-1064
Number of pages14
JournalPhilosophical Magazine A: Physics of Condensed Matter, Structure, Defects and Mechanical Properties
Issue number5
Publication statusPublished - 1998 Nov


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