Orthorhombic phases with large unit cells coexisting with the decagonal quasicrystal in an AlCoNiTb alloy
- Chinese Academy of Sciences, Beijing (China). Beijing Lab. of Electron Microscopy Jilin Univ., Changchun (China). Dept. of Physics
- Chinese Academy of Sciences, Beijing (China). Beijing Lab. of Electron Microscopy
- Jilin Univ., Changchun (China). Dept. of Physics
Elser and Henley suggested that if the irrational golden number [tau] = (1 + [radical]5)/2 associated with the three mutually orthogonal, equivalent twofold axes in an IQC (icosahedral quasicrystal) is approximated by a rational ratio of two consecutive Fibonacci numbers (0, 1, 1, 2, 3, 5, 8, [hor ellipsis], F[sub 0] = 0, F[sub 1] = 1, and F[sub n+1] = F[sub n] + F[sub n[minus]1]), such as F[sub n+1]/F[sub n] = 1/0, 1/1, 2/1, 3/2, 5/3, 8/5, [hor ellipsis], then a cubic crystalline phase generally called an approximant will result. Such an analysis has been extended later to 2-dimensional decagonal quasicrystals (DQCs). If the irradiation [tau] along two mutually orthogonal, non-equivalent, quasiperiodic twofold directions perpendicular to the periodic tenfold axis of a DQC is replaced by rational ratios F[sub n+1]/F[sub n], an orthorhombic approximant with a large unit cell will form. This not only explains the existing orthorhombic Al-TM (transitional metals) phases with large unit cells, such as Al[sub 60]Mn[sub 11]Ni[sub 4] and Al[sub 3]Mn, but also predicts many new approximants with even larger unit cells some of which have been found experimentally afterwards.
- OSTI ID:
- 7183627
- Journal Information:
- Scripta Metallurgica et Materialia; (United States), Vol. 31:10; ISSN 0956-716X
- Country of Publication:
- United States
- Language:
- English
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