Skip to main content
SpringerLink
Log in

A Chemical Approach to the Discovery of Quasicrystals and Their Approximant Crystals

  • Chapter
Controlled Assembly and Modification of Inorganic Systems

Part of the book series: Structure and Bonding ((STRUCTURE,volume 133))

Abstract

This review is intended to be a chemist-friendly introduction to what quasicrystals (QCs) and approximant crystals (ACs) are and what chemists may be able to contribute to the field. Readers will first be exposed to a must-know history of QC/ACs, then warmed up with the somewhat distant and prior concepts of metal clusters in halides, oxides etc., and then to polyanionic clusters in Zintl phases and intermetallic systems. Information on these last two has originated over about the last 50 years. We will draw on some more chemical insights and information on how these might be related and applicable to new and expanded QC and AC systems. Then follow our experiences on electronic and chemical tuning of five QC and AC systems and the structural regularities within ACs, from which important clues for quasicrystal structure modeling are evident.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Shechtman D, Blech I, Gratias D, Cahn JW (1984) Phys Rev Lett 53:1951

    Google Scholar 

  2. Janot C (ed) (1994) Quasicrystals: a primer, 2nd edn. Oxford University Press, Oxford, UK

    Google Scholar 

  3. Stadnik ZM (ed) (1999) Physical properties of quasicrystals. Springer, New York

    Google Scholar 

  4. Massalski TB, Turchi PEA eds (2005) The science of complex alloy phases. The Minerals, Metals & Materials Society, Warrendale, PA

    Google Scholar 

  5. Dubois JM, Janot C (eds) (2005) Useful quasicrystals. World Scientific, Singapore

    Google Scholar 

  6. Macia E (2000) Appl Phys Lett 77:3045

    Google Scholar 

  7. Kameoka S, Tanabe T, Tsai AP (2004) Catal Today 93-95:23

    Google Scholar 

  8. Kelton KF, Gibbons PC (1997) MRS Bull 22:71

    Google Scholar 

  9. Man W, Megens M, Steinhardt PJ, Chaikin PM (2005) Nature 436:993

    Google Scholar 

  10. Andersen BC, Bloom PD, Baikerikar KG, Sheares VV, Mallapragada SK (2002) Biomaterials 23

    Google Scholar 

  11. Pauling L (1985) Nature 317:512

    Google Scholar 

  12. Pauling L (1990) Proc Natl Acad Sci USA 87:7849

    Google Scholar 

  13. International Union of Crystallography (1997) Acta Crystallogr A 48:922

    Google Scholar 

  14. Jassen T, Chapuis G, de Boissieu M eds (2007) Aperiodic crystals from modulated phases to quasicrystals. Oxford University Press, New York

    Google Scholar 

  15. Goldman AI, Kelton KF (1993) Rev Mod Phys 65:213

    Google Scholar 

  16. Steurer W, Deloudi S (2007) Acta Crystallogr A 64:1

    Google Scholar 

  17. Mackay AL (1962) Acta Crystallogr 15:916

    Google Scholar 

  18. Bergman G, Waugh JLT, Pauling L (1957) Acta Crystallogr 10:254

    Google Scholar 

  19. Tsai AP, Guo JQ, Abe E, Takakura H, Sato TJ (2000) Nature 408:537

    Google Scholar 

  20. Sugiyama K, Kaji N, Hiraga K, Ishimasa T (1998) Z Kristallogr 213:90

    Google Scholar 

  21. Audier M, Pannetier J, Leblanc M, Janot C, Lang J-M, Dubost B (1988) Physica B 153:136

    Google Scholar 

  22. Pay Gomez C, Lidin S (2003) Phys Rev B 68:024203

    Google Scholar 

  23. Pay Gomez C, Lidin S (2001) Angew Chem Int Ed 40:4037

    Google Scholar 

  24. Lin Q, Corbett JD (2004) Inorg Chem 43:1912

    Google Scholar 

  25. Tsai AP (1999) In: Stadnik ZM (ed) Physical properties of quasicrystals. Springer, New York, pp 5–50

    Google Scholar 

  26. Steurer W, Deloudi S (2008) Acta Crystallogr A 64:1

    Google Scholar 

  27. Tsai AP (2003) Acc Chem Res 36:31

    Google Scholar 

  28. Ishimasa T (2005) In: Massalski TT, Turchi PEA (eds) The science of compex alloy phases. The Minerals, Metals & Materials Society, Warrendale, PA, p 231

    Google Scholar 

  29. Tsai AP (2005) In: Massalski TB, Turchi PEA (eds) The science of complex alloy phases. The Minerals, Metals & Materials Society, Warrendale, PA, p 201

    Google Scholar 

  30. Hume-Rothery W (1926) J Inst Metal 35:295

    Google Scholar 

  31. Hume-Rothery W, Raynor GV (eds) (1962) The structure of metals and alloys, 4th edn. Institute of Metals, London

    Google Scholar 

  32. Jones H (1937) Proc Phys Soc 49:250

    Google Scholar 

  33. Ishii Y, Fujiwara T (2001) Phys Rev Lett 87:206408

    Google Scholar 

  34. Mizutani U, Takeuchi T, Fournee V, Sato H, Banno E, Onogi T (2001) Script Metal 44:1181

    Google Scholar 

  35. Zeng X, Ungar G, Liu Y, Percec V, Dulcey AE, Hobbs JK (2004) Nature 428:157

    Google Scholar 

  36. Schaefer H, Schnering HG (1964) Angew Chem 76:833

    Google Scholar 

  37. Perrin C (1999) In: Braunstein P, Oro LA, Raithby PR (eds) Metal clusters in chemistry, vol. 3. Wiley-VCH, Weinheim, p 1563

    Google Scholar 

  38. Corbett JD (1995) J Alloys Compd 229:10

    Google Scholar 

  39. Svensson G, Koehler J, Simon A (1999) In: Braunstein P, Oro LA, Raithby PR (eds) Metal clusters in chemistry, vol 3. Wiley-VCH, Weinheim, p 1509

    Google Scholar 

  40. Corbett JD (1981) J Solid State Chem 39:56

    Google Scholar 

  41. Corbett JD (1981) J Solid State Chem 37:335

    Google Scholar 

  42. Burdett J (ed) (1995) Chemical bonding in solids. Oxford University Press, Oxford

    Google Scholar 

  43. Kauzlarich SM (ed) (1996) Chemistry, structure, and bonding of zintl phases and ions. VCH, New York

    Google Scholar 

  44. Belin C, Tillard-Charbonnel M (1993) Prog Solid State Chem 22:59

    Google Scholar 

  45. Miller GJ, Lee C-S, Choe W (2002) In: Meyer G, Naumann D, Wesemann L (eds) Inorganic chemistry highlights. Wiley-VCH, Weinheim, p 21

    Google Scholar 

  46. Corbett JD (2000) Angew Chem, Int Ed 39:670

    Google Scholar 

  47. Dong Z-C, Corbett JD (1996) Angew Chem Int Ed Engl 35:1006

    Google Scholar 

  48. Cordier G, Mueller V (1995) Z Naturforsch B 50:23

    Google Scholar 

  49. Tillard-Charbonnel M, Belin C (1991) J Solid State Chem 90:270

    Google Scholar 

  50. Shoemaker DP, Shoemaker CB (1988) In: Jari MV (ed) Introduction to quasicrystals. Academic, London, p 1

    Google Scholar 

  51. Corbett JD (1996) In: Kauzlarich SM (ed) Chemistry, structure, and bonding of Zintl phases and ions. VCH, New York, p 139

    Google Scholar 

  52. Corbett JD (1997) Struct Bonding 87:157

    Google Scholar 

  53. Wade K (1976) Adv Inorg Chem Radiochem 18:1

    Google Scholar 

  54. Dong Z-C, Corbett JD (1995) J Am Chem Soc 37:335

    Google Scholar 

  55. Sevov SC, Corbett JD (1991) Inorg Chem 30:4875

    Google Scholar 

  56. Dong Z-C, Corbett JD (1995) J Am Chem Soc 117:6447

    Google Scholar 

  57. Tillard-Charbonnel M, Belin C (1990) Eur J Solid State Inorg Chem 27:759

    Google Scholar 

  58. Belin C, Ling RG (1982) Compt Rendus Acad Sci Ser 2 294:1083

    Google Scholar 

  59. Henning RW, Corbett JD (2002) J Alloy Compd 338:4

    Google Scholar 

  60. King RB (1996) Inorg Chim Acta 252:115

    Google Scholar 

  61. Villars P, Calvert LD (eds) (1991) Pearson’s handbook of crystallographic data for inter- metallic phases, vol 1, 2nd edn. American Society of Metals, Materials Park, OH

    Google Scholar 

  62. Li B, Corbett JD (2007) Inorg Chem 45:6022

    Google Scholar 

  63. Palasyuk A, Dai J-C, Corbett JD (2008) Inorg Chem 47:3129

    Google Scholar 

  64. Cahn JW, Shechtman D, Gratias D (1986) J Mater Res 1:13

    Google Scholar 

  65. Beraha L, Steurer W, Perez-Mato JM (2001) Z Kristallogr 216:573

    Google Scholar 

  66. Andrusyak RI, Kotur BY, Zavodnik VE (1989) Sov Phys Crystallogr 34:600

    Google Scholar 

  67. Larson AC, Cromer DT (1971) Acta Crystallogr B 27:1875

    Google Scholar 

  68. Lin Q, Corbett JD (2003) Philos Mag Lett 83:755

    Google Scholar 

  69. Elser V (1985) Phys Rev B 32:4892

    Google Scholar 

  70. Markiv VY, Belyavina NN, Gavrilenko IS (1984) Izvest Akad Nauk SSSR, Met 5:227

    Google Scholar 

  71. Honma T, Ishimasa T (2007) Philos Mag 18-21:2721

    Google Scholar 

  72. Samson S (1949) Acta Chem Scand 3:809

    Google Scholar 

  73. Zachwieja U (1996) J Alloys Compd 235:7

    Google Scholar 

  74. Markiv VY, Belyavina NN (1981) Izvest Akad Nauk SSSR, Met 2:201

    Google Scholar 

  75. Lin Q, Corbett JD (2003) Inorg Chem 42:8762

    Google Scholar 

  76. Lin Q, Corbett JD (2005) Inorg Chem 44:512

    Google Scholar 

  77. Takeuchi T, Mizutani U (2002) J Alloy Compd 342:416

    Google Scholar 

  78. Ma Y, Stern EA (1998) Phys Rev B 38:3754

    Google Scholar 

  79. Lin Q, Corbett JD (2005) J Am Chem Soc 127:12786

    Google Scholar 

  80. Kaneko Y, Maezawa R, Kaneko H, Ishimasa T (2002) Philos Mag Lett 82:483

    Google Scholar 

  81. Samson S (1949) Acta Chem Scand 3:835

    Google Scholar 

  82. Lin Q, Corbett JD (2006) Philos Mag 86:607

    Google Scholar 

  83. Lin Q, Corbett JD (2006) J Am Chem Soc 128:13268

    Google Scholar 

  84. Lin Q, Corbett JD (2007) J Am Chem Soc 129:6789

    Google Scholar 

  85. Lin Q, Corbett JD (2007) Inorg Chem 46:8722

    Google Scholar 

  86. Pearson RG (1988) Inorg Chem 27:734

    Google Scholar 

  87. Lin Q, Corbett JD (2008) Inorg Chem 47:7651

    Google Scholar 

  88. Lin Q, Corbett JD (2008) Inorg Chem 47:3462

    Google Scholar 

  89. Henley CL, de Boissieu M, Steurer W (2006) Philos Mag 86:1131

    Google Scholar 

  90. Henley CL, Elser V (1986) Philos Mag B 53:L59

    Google Scholar 

  91. Lin Q, Corbett JD (2006) Proc Natl Acad Sci USA 103:13589

    Google Scholar 

  92. Takakura H, Pay Gomez C, Yamamoto Y, De Boissieu M, Tsai AP (2007) Nat Mater 6:58

    Google Scholar 

  93. Penrose B (1974) Bull Inst Math Appl 10:266

    Google Scholar 

  94. Piao S, Gomez CP, Lidin S (2006) Z Naturforsch 61B:644

    Google Scholar 

  95. Sun W, Lincoln FJ, Sugiyama K, Hiraga K (2000) Mater Sci Eng 294-296:327

    Google Scholar 

  96. Spiekermann S, Kreiner G (1998) ISIS experimental report. www.isis.rl.ac.uk/ISIS98/reports/9566.PDF. Last accessed 19 Nov 2008

  97. Sugiyama K, Sun W, Hiraga K (2002) J Alloys Compd 342:139

    Google Scholar 

  98. Mizutani U (2005) In: Massalski TB, Turchi PEA (eds) The science of complex alloy phases. The Minerals, Metals & Materials Society, Warrendale, PA, pp 1

    Google Scholar 

  99. Hahn T, Klapper H (2002) In: Hahn T (ed) International tables for crystallography, vol A, 5th edn. Kluwer, Dordrecht, p 761

    Google Scholar 

  100. Li B, Corbett JD (2005) J Am Chem Soc 127:926

    Google Scholar 

  101. Li B, Corbett JD (2006) Inorg Chem 45:8958

    Google Scholar 

  102. Lin Q, Lidin S, Corbett JD (2008) Inorg Chem 47:1020

    Google Scholar 

  103. Li B, Corbett JD (2007) Inorg Chem 46:2022

    Google Scholar 

  104. Li B, Corbett JD (2008) Inorg Chem 47:3610

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Chemistry and Ames Laboratory, Iowa State University, 50011, Ames, IA, USA

    Qisheng Lin & John D. Corbett

Authors
  1. Qisheng Lin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. John D. Corbett
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Fujian Institute of Research on the Structure of Matter (FIRSM), Chinese Academy of Sciences, 350002, Fuzhou, Fujian, China

    Xin-Tao Wu

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Lin, Q., Corbett, J. (2009). A Chemical Approach to the Discovery of Quasicrystals and Their Approximant Crystals. In: Wu, XT. (eds) Controlled Assembly and Modification of Inorganic Systems. Structure and Bonding, vol 133. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01562-5_1

Download citation

Publish with us

Policies and ethics

Search

Navigation