One-Dimensional Quasicrystal in Rapidly Solidified Alloys

He, Lei; Li, X. Z.; Zhang, Z.; Kuo, K. H.

doi:10.1103/physrevlett.61.1116

Cited by 109 publications

(22 citation statements)

References 9 publications

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“…Grushko, Urban (1991) Grushko (1992;1993a, b, c). The existence of (1D quasiperiodically) vacancy ordered t-phases (He, Li, Zhang, Kuo, 1988) was confirmed, and the stability range of the d-phase determined to be between d-Al 69 Co 21 Cu 10 and d-Al 62 Co 14 Cu 24 . Vacancy-ordered derivatives of the CsCl-type structure are also known in binary LT-and HT-AlCu (El-Boragy, Szepan, Schubert, 1972;Sastry, Bariar, Chattopadhyay, Ramachandrarao, 1980).…”

Section: Discoverymentioning

confidence: 84%

Twenty years of structure research on quasicrystals. Part I. Pentagonal, octagonal, decagonal and dodecagonal quasicrystals

Steurer¹

2004

Zeitschrift Für Kristallographie - Crystalline Materials

243

102

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Is quasicrystal structure analysis a never-ending story? Why is still not a single quasicrystal structure known with the same precision and reliability as structures of regular periodic crystals? What is the state-of-the-art of structure analysis of axial quasicrystals? The present comprehensive review summarizes the results of almost twenty years of structure analysis of axial quasicrystals and tries to answer these questions as far as possible. More than 2000 references have been screened for the most reliable structural models of pentagonal, octagonal, decagonal and dodecagonal quasicrystals. These models, mainly based on diffraction data and/or on bulk and surface microscopic images are critically discussed together with the limits and potentialities of the respective methods employed.

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Section: Discoverymentioning

confidence: 84%

Twenty years of structure research on quasicrystals. Part I. Pentagonal, octagonal, decagonal and dodecagonal quasicrystals

Steurer¹

2004

Zeitschrift Für Kristallographie - Crystalline Materials

243

102

View full text Add to dashboard Cite

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“…One is an artificial Fibonacci sequence consisting of alternating layers of materials [1,2]. The other is a rapidly solidified alloy [3,4]. Recently, generalized Hooke's law of 1D quasicrystals has been derived by Wang et al [5].…”

Section: Introductionmentioning

confidence: 98%

A Straight Dislocation in One-Dimensional Hexagonal Quasicrystals

Tang

1999

phys. stat. sol. (b)

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“…The experimental data of quasicrystal alloys are from refs. [1 -6,8-10, [27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44].…”

Section: Resultsmentioning

confidence: 99%

The atomic parameter model for the fifth and sixth transition metal quasicrystal alloys (Mc=0.5)

Liao

Gui

Zhang

et al. 2009

Sci. China Ser. G-Phys. Mech. Astron.

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The forming ability of quasicrystal phase has a relationship with the atomic bond factors based on differences in atom size and electron factors. Usually, those factors or their combination are used to describe the forming ability, stability of alloys, etc. In this paper, the quasicrystal alloy forming abilities for the fifth and sixth transition metals (Y, Zr, Nb, Mo, Ru, Rh, Pd and La, Hf, Ta, W, Re, Os, Ir, Pt) based alloys have been studied by the size factor and the atomic parametric function. It has been found that an ellipse curve can be used to separate the quasicrystal formed area from the informed area in the size factor and atomic parameters functional graph. The ellipse curve can be defined by an equation (x−m) 2 /c 2 +( y−n) 2 /d 2 =1. The overall reliabilities for the model are up to 97.4% and 95.5% for the fifth and the sixth transition metals based quasicrystal alloys, respectively. Also, the ellipse parameters m, n, c and d can be paraphrased by some appropriate parameters for each host metal.quasicrystal, transition metal, atomic parametric model, ellipse model Quasicrystal (QC) is a new class of solid material with new crystallographic properties and special structure. Since the first discovery of an icosahedral structure of Al-Mn alloy by Shechtman et al. [1] in 1984 two decades have passed. Much effort, including experimental, theoretical, empirical and semi-empirical methods, has been made to understand the formation mechanism and the physical properties of this new material. This has encouraged the discovery of many quasicrystals including TM-based (TM=transition metal) quasicrystals.Athanasiou and Jeevan have analyzed the effect of atomic size in the formation of quasicrystal. Athanasiou et al. [2] considered that the formation of quasicrystal phases depends upon the atomic radius ratio of the constituents. Jeevan et al. [3] proposed a classification of quasicrystals on the basis of atomic size to recognize the dominant role in forming the quasicrystal phases. They pointed out that the atomic size is the dominant parameter for the formation of quasicrystal alloys rather than composition.Dong et al. [4] , Qing et al. [5] , and Tsai [6] have analyzed the effect of valence electron concentration in the formation of quasicrystal. Dong et al. [4] and Qiang et al. [5] have analyzed the formation of the Al-Cu-Fe-Cr quasicrystal alloys system with the valence electron concentration, and have discussed that quasicrystal is a constant valence electron concentration phase. Tsai [6] has verified the availability of the Hume-Rothery rules [7] for the sta-

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One-Dimensional Quasicrystal in Rapidly Solidified Alloys

Cited by 109 publications

References 9 publications

Twenty years of structure research on quasicrystals. Part I. Pentagonal, octagonal, decagonal and dodecagonal quasicrystals

Twenty years of structure research on quasicrystals. Part I. Pentagonal, octagonal, decagonal and dodecagonal quasicrystals

A Straight Dislocation in One-Dimensional Hexagonal Quasicrystals

The atomic parameter model for the fifth and sixth transition metal quasicrystal alloys (Mc=0.5)

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