Where are the elements in complex aluminides? An experimental and theoretical investigation of the quasicrystalline approximants, Mg(2- y)(Zn(x)Al(1-x))(3+y)

Chi-Shen Lee, Gordon J. Miller*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

36 Scopus citations


The first detailed investigation of the crystalline R-phases in the Mg- Zn-Al ternary system is reported, which will assist with the interpretation and understanding of similar quasicrystalline phases in this phase diagram. Although 'Mg32(Zn,Al)49 was originally reported by Bergman and Pauling in 1956, some details regarding its structure and the atomic arrangement remain to be solved. Single-phase product can be obtained from reaction compositions Mg1.63)(Zn(λ)Al(1-x)3.37', 0.35 ≤ x ≤ 0.65. A combination of single-crystal X-ray diffraction, powder neutron diffraction, energy dispersive spectroscopy, densities, and theoretical modeling is needed to elucidate a complete structural model for these phases. Single-crystal X-ray diffaction gave the R-phase structure (space group Im3̄, Z = 32) for three difference samples: Mg(1.76(1))Zn(1.46(6))Al(1.65(3)) (a = 14.364-(3) Å), Mg(1.75(1))Zn(1.80(2))Al(1.31(1)) (a = 14.212(1) Å), and Mg(1.73(1))Zn(2.46(6))Al(0.69(3)) (a = 14.131(1) Å). Neutron powder diffraction on three similar bulk samples gave Mg(1.76(1))Zn(1.34(5))Al(1.76(5)) (a = 14.2697(1) Å), Mg(1.75(1))Zn(1.76(5))Al(1.34(6)) (a = 14.1804(1) Å), and Mg(1.73(1))Zn(2.06(3))Al(1.09(3)) (a = 14.11247(6) Å). For all phases in this Mg-Zn-Al system, one crystallographic site (M4) has ca. 33% vacancies and shows a mixture of Mg and Zn atoms. Mg atoms occur next to vacancies on these sites. Theoretical calculations are used to explain the observed phase width involving Zn and Al, the trend in observed site occupancies, and the occurrence of vacancies in this structure. A range of nonbonding states near the Fermi level accounts for the phase width and allows a range in valence electron concentration between 2.07 and 2.48 for the existence of this structure. Valence electron concentrations in Mg-Zn-Al, however, necessitate the occupation of some metal-metal antibonding orbitals, which creates a driving force for vacancies. Since Mg can replace atoms in the (Zn,Al) framework, the R-phases are true intermediates between Zintl phases on one hand and Hume-Rothery intermetallic phases on the other.

Original languageEnglish
Pages (from-to)4937-4947
Number of pages11
JournalJournal of the American Chemical Society
Issue number20
StatePublished - 24 May 2000

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