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

Published online by Cambridge University Press:  31 January 2011

X. Z. Li  and
K. Hiraga
X. Z. Li
Affiliation:
Institute for Materials Research, Tohoku University, Katahira, Aoba-ku, Sendai 980, Japan
K. Hiraga
Affiliation:
Institute for Materials Research, Tohoku University, Katahira, Aoba-ku, Sendai 980, Japan
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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.

Type
Articles
Information
Journal of Materials Research , Volume 11 , Issue 8 , August 1996 , pp. 1891 - 1896
Copyright
Copyright © Materials Research Society 1996

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