Highly ordered structure of icosahedral quasicrystals in Zn-Mg-RE (RE ≡ rare earth metals) systems

Modulated-Crystal Model for the Twelvefold Quasicrystal Ta62Te38

“…In order to confirm that twelvefold quasicrystals can generally be regarded as modulated structures due to CDWs, much more information needs to be obtained on structures as well as on the electric properties of twelvefold quasicrystals. Furthermore, it seems reasonable to consider that the structures in some icosahedral and decagonal phases can also be regarded as modulated structures due to CDWs; the formation and stability of these phases are related to the valence electron concentration (Tsai et al, 1990(Tsai et al, , 1994. Positron annihilation measurements showed that a high density of atomic vacancies exists in icosahedral phases (Kanazawa et al, 1997).…”

Antiferromagnetic order in the quasicrystal approximant Cd6Tb studied by x-ray resonant magnetic scattering

“…18 Early studies 19,20 of the magnetic properties of µ-Al 4 Mn x Cr 1−x provided evidence that, like the Al-Mn and Al-Pd-Mn quasicrystals, only a fraction of the Mn ions carry a moment. However, recent studies of µ-Al 4 Mn also indicate that the magnetic frustration may be geometrical in origin arising from the presence of triangular spin clusters in the structure. 21 For rare-earth based approximants, where the exchange is dominated by the longrange RKKY interaction, extensive magnetic property investigations found spin-glass-like freezing of the moments in AgIn-R 1/1 cubic approximants for R = Eu, Gd, Tb and Dy.…”

“…the RKKY interaction) reinvigorated the search for long-range magnetic order in the icosahedral phase. [3][4][5][6] However, all of the known quasicrystals with moment bearing elements exhibit frustration and spinglass-like behavior at low temperature. 7,8 In Zn-Mg-R and CdMg-R, dc-and ac-susceptibility measurements demonstrate canonical spin-glass behavior.…”

Evidence of a stable binary CdCa quasicrystalline phase

“…[2][3][4][5][6][7][8] More than ten stable quasicrystals containing at least three metallic elements have been prepared. 9 Recently, Tsai et al 10 reported that stable quasicrystals are found in the binary CdYb system. This result will be important for the understanding of structure and properties in quasicrystals.…”