Abstract

Studies of phase formation in rapidly solidified Al-Mn alloys (composition range 18-22 at.% Mn) show that an icosahedral phase is replaced by another noncrystallographic phase, a decagonal phase. The decagonal phase is another example of quasicrystal: It has a noncrystallographic point group ($\frac{10}{m}$ or $\frac{10}{\mathrm{mmm}}$) together with long-range orientational order and one-dimensional translational symmetry. The decagonal phase is an intermediate phase between an icosahedral phase and a crystal both from the symmetry and from the solidification condition points of view.

Keywords

QuasicrystalIcosahedral symmetryTranslational symmetryPhase (matter)Symmetry (geometry)Rotation (mathematics)Rotational symmetryCondensed matter physicsPhysicsCrystal (programming language)Order (exchange)CrystallographyMaterials scienceSymmetry operationChemistryQuantum mechanicsGeometry

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Publication Info

Year
1985
Type
article
Volume
55
Issue
14
Pages
1461-1463
Citations
649
Access
Closed

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649
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5
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Cite This

Leonid A. Bendersky (1985). Quasicrystal with One-Dimensional Translational Symmetry and a Tenfold Rotation Axis. Physical Review Letters , 55 (14) , 1461-1463. https://doi.org/10.1103/physrevlett.55.1461

Identifiers

DOI
10.1103/physrevlett.55.1461
PMID
10031829

Data Quality

Data completeness: 77%