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

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

doi:10.1080/09500830110100651

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

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

Research output: Contribution to journal › Article › peer-review

29 Citations (Scopus)

Abstract

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 language	English
Pages (from-to)	27-35
Number of pages	9
Journal	Philosophical Magazine Letters
Volume	82
Issue number	1
DOIs	https://doi.org/10.1080/09500830110100651
Publication status	Published - 2002 Jan
Externally published	Yes

ASJC Scopus subject areas

Condensed Matter Physics

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10.1080/09500830110100651

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title = "Stable Cd-Mg-Yb and Cd-Mg-Ca icosahedral quasicrystals with wide composition ranges",

abstract = "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.",

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AU - Abe, E.

AU - Tsai, A. P.

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N2 - 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.

AB - 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.

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

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