<span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mi mathvariant="normal">Mg</mi></mrow><mrow><mn>32</mn></mrow></msub></mrow></math></span> <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mn></mn><mo>(</mo><mi mathvariant="normal">Z</mi><mi mathvariant="normal">n</mi><mo>,</mo><mi mathvariant="normal">A</mi><mi mathvariant="normal">l</mi><mo>)</mo><mn></mn></mrow><mrow><mn>49</mn></mrow></msub></mrow></math></span>-type icosahedral quasicrystals formed by solid-state reaction and rapid solidification

W. A. Cassada; Y. Shen; S. J. Poon; G. J. Shiflet

doi:10.1103/PhysRevB.34.7413

Rapid Communication

${Mg}_{32}$ ${(Z n, A l)}_{49}$ -type icosahedral quasicrystals formed by solid-state reaction and rapid solidification

W. A. Cassada, Y. Shen, S. J. Poon, and G. J. Shiflet

Phys. Rev. B 34, 7413(R) – Published 15 November 1986

Abstract

Icosahedral quasicrystals of Al-Mg-Zn, Al-Mg-Cu, Al-Li-Zn, and Al-Li-Cu are formed by low-temperature annealing of solid-solution alloys. Comparison is made with icosahedral Al-Mg-Cu, Al-Mg-Zn, and Al-Li-Cu prepared by rapid solidification. The compositions of the icosahedral compounds formed by solid-state reaction are similar to those observed in the rapidly solidified samples. The stability of these new phases is discussed. X-ray line intensities are found to agree well with the computed intensities for a quasicrystalline model based on the (Mg-Zn-Al)-type decoration of the three-dimensional Penrose tiles.