Stable Cd-Mg-Yb and Cd-Mg-Ca icosahedral quasicrystals with wide composition ranges

J. Q. Guo, E. Abe, A. P. Tsai

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29 Citations (Scopus)


Stable icosahedral quasicrystals with wide composition ranges have been found in the systems Cd-Mg-Yb and Cd-Mg-Ca. The icosahedral quasicrystals form in the following composition ranges: 25-85 at.% Cd, 0-60 at.% Mg and 10-20 at.% Yb for the Cd-Mg-Yb system; 33-85 at.% Cd, 0-52 at.% Mg and 10-20 at.%Ca for the Cd-Mg-Ca system. An electron diffraction study confirmed that the icosahedral quasicrystals have a primitive lattice. Its quasilattice constant is proportional to a Goldschmidt atom diameter of the quasicrystals weighted by a factor of 1.75 in the range 0.5681-0.5799 nm for the Cd-Mg-Yb system and 0.5697-0.5778 nm for the Cd-Mg-Ca system. The closely similar atom sizes of Cd and Mg, the valence electron ratio e/a = 2.0 and the large atom sizes of Yb and Ca cause the wide composition ranges of the Cd-Mg-Yb and Cd-Mg-Ca quasicrystals. The metallurgical behaviour of the quasicrystals is discussed.

Original languageEnglish
Pages (from-to)27-35
Number of pages9
JournalPhilosophical Magazine Letters
Issue number1
Publication statusPublished - 2002 Jan
Externally publishedYes

ASJC Scopus subject areas

  • Condensed Matter Physics


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