Stable decagonal and icosahedral quasicrystals

Akihisa Inoue; An Pang Tsai; Tsuyoshi Masumoto

doi:10.1016/0022-3093(90)90655-6

Stable decagonal and icosahedral quasicrystals

Akihisa Inoue, An Pang Tsai, Tsuyoshi Masumoto

Center for Exploration of New Inorganic Materials

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

6 Citations (Scopus)

Abstract

Stable icosahedral (I) and decagonal (D) phases were found to be formed in conventionally solidified AlCu(Fe, Ru or Os) and AlCu(Co or Rh) alloys, respectively. The growth morphology is a pentagonal dodecahedron for the I-phase and a column with a cross-sectional shape of decagon for the D-phase. The stable quasicrystals are formed in the criteria of the ratio of the diameter of the Brillouin zone boundary to that of the Fermi sphere (K_p/2k_f)≅1.0, the outer electron per atom ration (e/a)=1.7 to 1.8 and the atomic size factor (λ)=0.10 to 0.11.

Original language	English
Pages (from-to)	824-827
Number of pages	4
Journal	Journal of Non-Crystalline Solids
Volume	117-118
Issue number	PART 2
DOIs	https://doi.org/10.1016/0022-3093(90)90655-6
Publication status	Published - 1990 Feb 1

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Ceramics and Composites
Condensed Matter Physics
Materials Chemistry

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abstract = "Stable icosahedral (I) and decagonal (D) phases were found to be formed in conventionally solidified AlCu(Fe, Ru or Os) and AlCu(Co or Rh) alloys, respectively. The growth morphology is a pentagonal dodecahedron for the I-phase and a column with a cross-sectional shape of decagon for the D-phase. The stable quasicrystals are formed in the criteria of the ratio of the diameter of the Brillouin zone boundary to that of the Fermi sphere (Kp/2kf)≅1.0, the outer electron per atom ration (e/a)=1.7 to 1.8 and the atomic size factor (λ)=0.10 to 0.11.",

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AU - Inoue, Akihisa

AU - Tsai, An Pang

AU - Masumoto, Tsuyoshi

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N2 - Stable icosahedral (I) and decagonal (D) phases were found to be formed in conventionally solidified AlCu(Fe, Ru or Os) and AlCu(Co or Rh) alloys, respectively. The growth morphology is a pentagonal dodecahedron for the I-phase and a column with a cross-sectional shape of decagon for the D-phase. The stable quasicrystals are formed in the criteria of the ratio of the diameter of the Brillouin zone boundary to that of the Fermi sphere (Kp/2kf)≅1.0, the outer electron per atom ration (e/a)=1.7 to 1.8 and the atomic size factor (λ)=0.10 to 0.11.

AB - Stable icosahedral (I) and decagonal (D) phases were found to be formed in conventionally solidified AlCu(Fe, Ru or Os) and AlCu(Co or Rh) alloys, respectively. The growth morphology is a pentagonal dodecahedron for the I-phase and a column with a cross-sectional shape of decagon for the D-phase. The stable quasicrystals are formed in the criteria of the ratio of the diameter of the Brillouin zone boundary to that of the Fermi sphere (Kp/2kf)≅1.0, the outer electron per atom ration (e/a)=1.7 to 1.8 and the atomic size factor (λ)=0.10 to 0.11.

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