On phase transformations in mechanically alloyed and subsequently annealed Al70Cu20Fe10
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Mg70.8Zn28Nd1.2 (鼹鼠部分) 合金包含 icosahedral quasicrystal 阶段(我阶段) 在常规金属扔下面被准备条件。微观结构，阶段体质和合金的阶段结构借助于扫描电子显微镜学(SEM ) 被调查， X 光检查衍射(XRD ) ，精力散分光计(版本) 和传播电子显微镜学(TEM ) 。结果证明在 Mg70.8Zn28Nd1.2 合金的球形的阶段是有 Mg40Zn55Nd5 的 stoichiometric 作文和 0.525 nm 的伪格子的简单 icosahedral quasicrystal。在这研究， Mg70.8Zn28Nd1.2 合金的当演员组微观结构主要由 Mg40Zn55Nd5 icosahedral quasicrystal 阶段和 Mg7Zn3 组成了圆柱的水晶矩阵。在 Mg40Zn55Nd5 icosahedral quasicrystal 阶段的成长过程，生长形态学主要取决于接口精力， Nd 的吸附效果和冷却的率。
Stoichiometry
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To understand the crystallographic relation between the Bergman-type icosahedral quasicrystal and its approximant-T structure, we have investigated the crystallographic features of prepared Zn-Mg-Al alloy samples, mainly by transmission electron microscopy. It was found that there existed three kinds of regions: that is, C14-Laves, approximant-T, and icosahedral-quasicrystal regions, in Zn-Mg-Al alloy samples with the composition of Zn-36at.%Mg-9at.%Al. Among these regions, in particular, we tried to determine an orientation relationship between neighboring icosahedral-quasicrystal and approximant-T regions. Based on the determined relationship, for instance, four threefold rotatory-inversion axes in the T structure were found to be parallel to four of ten threefold rotatory-inversion axes in the icosahedral quasicrystal. It was thus understood that the atomic arrangements of the Bergman-type icosahedral quasicrystal and its approximant-T structure are likely to resemble each other.
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From the first quasicrystal discovered in the laboratory 30 years ago to the only known specimen of naturally occurring quasicrystals, quasicrystals with icosahedral symmetry have received great attention. There are more than one hundred stable icosahedral quasicrystals in metallic alloys; all are identified by their diffraction spectra. Despite this abundance, resolving the positions of the atoms within the solid has been possible only indirectly. Moreover, unlike dodecagonal and other axial quasicrystals, icosahedral quasicrystals have been observed neither in simulations nor in non-atomic (e.g. micellar or colloidal) systems, where real-space information would be available. Here we present an icosahedral quasicrystal discovered in computer simulation via self-assembly from the liquid phase. We provide a structure model by analyzing atomic surfaces and report the presence of phason flips. Our results constitute a direct microscopic confirmation of the higher-dimensional crystallographic description of icosahedral quasicrystals.
Phason
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Abstract Three-dimensional icosahedral quasicrystals have been fabricated by two-photon polymerization technique. Such quasicrystals have icosahedral symmetry in three dimensions which is forbidden for true periodic crystals. The correspondence of the resulting quasicrystals to the designed structures was confirmed by scanning electron microscopy. We investigated the optical interference properties of icosahedral quasicrystals using a laser diffraction technique.
Characterization
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Ternary alloy
Cubic crystal system
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This article reviewes the section method which is convenient to understand all the quasiperiodic structures including the modulated and quasicrystal structures on the same basis. A model construction of an icosahedral Al - Mn quasicrystal is examplified by use of this method. This model explains the X -ray and neutorn powder diffraction patterns of an icosahedral A14Mn.
Section (typography)
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A structure model of an icosahedral Al-Mn quasicrystal is proposed based on the structure-factor calculation and the x-ray and neutron powder-diffraction patterns of rapidly solidified Al-Mn alloys. The model has a local atomic arrangement similar to that of the cubic \ensuremath{\alpha}--Al-Mn-Si and has icosahedral point symmetry. To derive the model six-dimensional description of the three-dimensional Penrose lattice is extended to more general quasicrystals. The model explains the x-ray and neutron diffraction intensity, chemical composition, and density of the icosahedral quasicrystal.
Lattice (music)
Phason
Structure factor
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Abstract The icosahedral quasicrystal structure is derived with local symmetry operations. Calculated Fourier transforms are compared with electron diffraction patterns. It is proposed that the structure building operations are models for the crystal growing process.
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A new one-dimensionally modulated quasicrystal phase related to the icosahedral Al-Mn-Pd quasicrystal is described from an alloy with composition o Al Mn Pd annealed at temperatures between 550 and 715 C and 69.8 8.3 21.9 subsequently quenched in water. Systematic tilting experiments reveal that this phase is an icosahedral quasicrystal with a modulation along one of its threefold symmetry axes. It therefore has a trigonal-symmetric Fourier spectrum and a modulation period along the unique threefold axis which corresponds to 15.7 nm. This long-rangeordered phaseis relatedtotheusualF-type icosahedralquasicrystal as well as to the F2 icosahedral quasicrystal which has a P-type icosahedral lattice.
Phason
Trigonal crystal system
Lattice (music)
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The structure of the icosahedral phase is still not fully understood, though many works were published. There are researchers who still do not believe in the intrinsic quasi periodic structure of the icosahedral phase. This paper reviews the structure of quasicrystals, which is a general term for phases with aperiodic orientational order of atoms including icosahedral phase.
Aperiodic graph
Penrose tiling
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