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A local and medium range atomic structure model for the face centredicosahedral (fci) Mg25Y11Zn64 alloy has been established in a sphere of r = 27A. The model was refined by least squares techniques using the atomic pairdistribution (PDF) function obtained from synchrotron powder diffraction. Threehierarchies of the atomic arrangement can be found: (i) five types of localcoordination polyhedra for the single atoms, four of which are of Frank-Kaspertype. In turn, they (ii) form a three-shell (Bergman) cluster containing 104atoms, which is condensed sharing its outer shell with its neighbouringclusters and (iii) a cluster connecting scheme corresponding to athree-dimensional tiling leaving space for few glue atoms. Inside adjacentclusters, Y8-cubes are tilted with respect to each other and thus allow foroverall icosahedral symmetry. It is shown that the title compound isessentially isomorphic to its holmium analogue. Therefore fci-Mg-Y-Zn can beseen as the representative structure type for the other rare earth analoguesfci-Mg-Zn-RE (RE = Dy, Er, Ho, Tb) reported in the literature.Comment: 12 pages, 8 figures, 2 table

The local atomic quasicrystal structure of the icosahedral Mg25Y11Zn64alloy

The local atomic quasicrystal structure of the icosahedral Mg₂₅Y₁₁Zn₆₄alloy