## 抄録

The atomic structure of quasicrystals-solids with long-range order, but non-periodic atomic lattice structure is often described as the three- dimensional generalization of the planar two-tile Penrose pattern. Recently, an alternative model has been proposed that describes such structures in terms of a single repeating unit -the three-dimensional generalization of a pattern composed of identical decagons. This model is similar in concept to the unit-cell description of periodic crystals, with the decagon playing the role of a 'quasi-unit cell'. But, unlike the unit cells in periodic crystals, these quasi-unit cells overlap their neighbours, in the sense that they share atoms. Nevertheless, the basic concept of unit cells in both periodic crystals and quasicrystals is essentially the same: solving the entire atomic structure of the solid reduces to determining the distribution of atoms in the unit cell. Here we report experimental evidence for the quasi-unit-cell model by solving the structure of the decagonal quasicrystal Al_{72}Ni_{20}Co_{8}. The resulting structure is consistent with images obtained by electron and X-ray diffraction, and agrees with the measured stoichiometry, density and symmetry of the compound. The quasi-unit-cell model provides a significantly better fit to these results than all previous alternative models, including Penrose tiling.

本文言語 | English |
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ページ（範囲） | 55-57 |

ページ数 | 3 |

ジャーナル | Nature |

巻 | 396 |

号 | 6706 |

DOI | |

出版ステータス | Published - 1998 11月 5 |

## ASJC Scopus subject areas

- 一般