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Structural relation between a 2D fivefold quasicrystal and crystalline approximants in an Al–Co–Ni–Tb alloy

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Abstract

A two-dimensional quasicrystal with fivefold symmetry and two large-unit-cell crystalline approximants in an Al–Co–Ni–Tb alloy, which were observed in previous studies, are suggested to be composed of the same kind of atom cluster. Some characteristics of the atom cluster can be deduced from a high-resolution electron microscopy image of the Al–Co–Ni–Tb quasicrystal when the image is associated with a fivefold aperiodic tiling. By using the cut-and-projection method, a quasiperiodic tiling generated by an irrational projection is proposed as an ideal quasilattice of the Al–Co–Ni–Tb quasicrystal; in the meantime, periodic tilings generated by a rational projection present the lattices of the crystalline approximants.

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Li, X.Z., Hiraga, K. Structural relation between a 2D fivefold quasicrystal and crystalline approximants in an Al–Co–Ni–Tb alloy. Journal of Materials Research 11, 1891–1896 (1996). https://doi.org/10.1557/JMR.1996.0240

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  • DOI: https://doi.org/10.1557/JMR.1996.0240

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