journal article·2008-01Open access

Icosahedral clusters, icosaheral order and stability of quasicrystals—a view of metallurgy∗

An Pang Tsai

Abstract

We review the stability of various icosahedral quasicrystals (iQc) from a metallurgical viewpoint. The stability of stable iQcs is well interpreted in terms of Hume-Rothery rules, i.e. atomic size factor and valence electron concentration, e/a. For metastable iQcs, we discuss the role of phason disorder introduced by rapid solidification, in structural stability and its interplay with chemical order and composition.
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Research context

OpenAlex topics: Quasicrystal Structures and Properties · Mineralogy and Gemology Studies

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Affiliations

Institute of Multidisciplinary Research for Advanced Materials, Tohoku University, Sendai 980-8577, Japan and National Institute for Materials Science, 305-0047 Tsukuba, Japan

References (73)

Show source-provided references
1. 10.1103/PhysRevLett.53.195110.1103/PhysRevLett.53.1951 ↗
2. KittelC 2004 Introduction to Solid State Physics Hoboken, NJ Wiley
3. 10.1007/978-3-642-58434-3_210.1007/978-3-642-58434-3_2 ↗
4. 10.1021/ar010013x10.1021/ar010013x ↗
5. 10.1038/nature0236810.1038/nature02368 ↗
6. Hume-Rothery W · J. Inst. Metals · 1926 · 35 · 295
7. 10.1142/039110.1142/0391 ↗
8. 10.1103/PhysRevB.34.59610.1103/PhysRevB.34.596 ↗
9. 10.1103/PhysRevB.34.334510.1103/PhysRevB.34.3345 ↗
10. 10.1038/scientificamerican0491-4410.1038/scientificamerican0491-44 ↗
11. 10.1080/0950083021015388710.1080/09500830210153887 ↗
12. 10.1103/PhysRevB.68.09420110.1103/PhysRevB.68.094201 ↗
13. 10.1038/nmat179910.1038/nmat1799 ↗
14. de Bruijn N · Ned. Akad. Weten. Proc. Ser. · 1985 · 43 · 39
15. 10.1107/S010876738609993210.1107/S0108767386099932 ↗
16. 10.1103/PhysRevLett.62.240910.1103/PhysRevLett.62.2409 ↗
17. 10.1016/S0925-8388(03)00690-X10.1016/S0925-8388(03)00690-X ↗
18. 10.1103/PhysRevB.35.548710.1103/PhysRevB.35.5487 ↗
19. 10.1557/JMR.1986.001310.1557/JMR.1986.0013 ↗
20. 10.1080/0950083880821474810.1080/09500838808214748 ↗
21. 10.1557/JMR.1989.003910.1557/JMR.1989.0039 ↗
22. 10.1038/3504620210.1038/35046202 ↗
23. 10.1103/PhysRevLett.55.288310.1103/PhysRevLett.55.2883 ↗
24. 10.1107/S0365110X6600149X10.1107/S0365110X6600149X ↗
25. 10.1107/S0365110X5700080810.1107/S0365110X57000808 ↗
26. 10.1080/1364281860824063810.1080/13642818608240638 ↗
27. 10.1016/0022-5088(71)90179-210.1016/0022-5088(71)90179-2 ↗
28. 10.1088/0953-8984/14/27/20210.1088/0953-8984/14/27/202 ↗
29. 10.1524/zkri.1998.213.3.16810.1524/zkri.1998.213.3.168 ↗
30. 10.1080/0950083011010065110.1080/09500830110100651 ↗
31. 10.1080/0950083041000166454410.1080/09500830410001664544 ↗
32. 10.1103/PhysRevLett.59.22110.1103/PhysRevLett.59.221 ↗
33. 10.1016/0304-3991(85)90196-210.1016/0304-3991(85)90196-2 ↗
34. Bancel P A · J. Phys. · 1986 · 47 · C3-341
35. 10.1103/PhysRevLett.57.144010.1103/PhysRevLett.57.1440 ↗
36. 10.1557/JMR.1989.139810.1557/JMR.1989.1398 ↗
37. 10.1016/0956-7151(91)90203-D10.1016/0956-7151(91)90203-D ↗
38. 10.1016/S0036-9748(88)80286-210.1016/S0036-9748(88)80286-2 ↗
39. 10.1080/0141863950824029310.1080/01418639508240293 ↗
40. 10.1143/JJAP.29.L116110.1143/JJAP.29.L1161 ↗
41. 10.1063/1.34862710.1063/1.348627 ↗
42. 10.1103/PhysRevLett.53.195110.1103/PhysRevLett.53.1951 ↗
43. Shechtman D · Trans. · 1985 · 16 · 1005
44. 10.1103/PhysRevLett.56.116810.1103/PhysRevLett.56.1168 ↗
45. 10.1016/0001-6160(89)90176-410.1016/0001-6160(89)90176-4 ↗
46. 10.1063/1.11736410.1063/1.117364 ↗
47. 10.1107/S0365110X5900282110.1107/S0365110X59002821 ↗
48. 10.1103/PhysRevLett.57.11410.1103/PhysRevLett.57.114 ↗
49. Matsubara E · Z. Naturf. · 1988 · 43 · 50510.1515/zna-1988-0517 ↗
50. 10.1103/PhysRevB.49.356910.1103/PhysRevB.49.3569 ↗
51. 10.1103/PhysRevLett.66.35310.1103/PhysRevLett.66.353 ↗
52. 10.1143/JJAP.28.L162410.1143/JJAP.28.L1624 ↗
53. 10.1051/jphys:0199000510504170010.1051/jphys:01990005105041700 ↗
54. 10.1080/0950083900820374510.1080/09500839008203745 ↗
55. 10.1016/S1359-6454(97)00341-810.1016/S1359-6454(97)00341-8 ↗
56. 10.1016/S0921-4526(97)00766-710.1016/S0921-4526(97)00766-7 ↗
57. Tanaka M · RITU · 1991 · 36 · 195
58. 10.1103/PhysRevB.43.878210.1103/PhysRevB.43.8782 ↗
59. 10.1143/JJAP.31.L41910.1143/JJAP.31.L419 ↗
60. 10.1016/j.jnoncrysol.2003.11.06510.1016/j.jnoncrysol.2003.11.065 ↗
61. 10.1103/PhysRev.54.89910.1103/PhysRev.54.899 ↗
62. 10.1016/0502-8205(49)90003-910.1016/0502-8205(49)90003-9 ↗
63. 10.1103/PhysRevB.74.23511910.1103/PhysRevB.74.235119 ↗
64. 10.1016/S0079-6425(03)00035-510.1016/S0079-6425(03)00035-5 ↗
65. 10.1088/0959-5309/49/3/30710.1088/0959-5309/49/3/307 ↗
66. 10.1088/0953-8984/2/28/00710.1088/0953-8984/2/28/007 ↗
67. 10.1016/j.pmatsci.2005.01.00110.1016/j.pmatsci.2005.01.001 ↗
68. IshiiYFujiwaraT 2008 Quasicrystals Handbook of Metal Physics YIshii TFujiwara Amsterdam Elsevier p 17110.1016/S1570-002X(08)80021-3 ↗
69. 10.1080/1478643070136500910.1080/14786430701365009 ↗
70. 10.1080/0950083011010065110.1080/09500830110100651 ↗
71. 10.1063/1.197949510.1063/1.1979495 ↗
72. 10.1103/PhysRevLett.90.19550410.1103/PhysRevLett.90.195504 ↗
73. 10.1098/rspa.1952.019410.1098/rspa.1952.0194 ↗