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The quest for forbidden crystals

Published online by Cambridge University Press:  05 July 2018

L. Bindi  and
P. J. Steinhardt
L. Bindi*
Affiliation:
Dipartimento di Scienze della Terra, Università di Firenze, via La Pira 4, I-50121 Florence, Italy
P. J. Steinhardt
Affiliation:
Department of Physics & Princeton Center for Theoretical Science, Princeton University, Princeton, NJ 08544 USA
*
E-mail: [email protected]
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Abstract

The world of crystallography was forced to reassess its rules about thirty years ago with the introduction of the concept of quasicrystals, solids with rotational symmetries forbidden to crystals, by Levine and Steinhardt (1984) and the discovery of the first examples in the laboratory by Shechtman et al. (1984). Since then, >100 different types of quasicrystals have been synthesized in the laboratory under carefully controlled conditions. The original theory suggested that quasicrystals can be as robust and stable as crystals, perhaps even forming under natural conditions. This thought motivated a decade-long search for a natural quasicrystal, culminating in the discovery of icosahedrite (Al63Cu24Fe13), an icosahedral quasicrystal found in a museum sample consisting of several typical rock-forming minerals combined with exotic rare metal alloy minerals like khatyrkite and cupalite. Here we briefly recount the extraordinary story of the search and discovery of the first natural quasicrystal.

Keywords

natural quasicrystalsicosahedriteAl-Cu-alloysforbidden symmetrykhatyrkite
Type
Research Article
Information
Mineralogical Magazine , Volume 78 , Issue 2 , April 2014 , pp. 467 - 482
Copyright
Copyright © The Mineralogical Society of Great Britain and Ireland 2014

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References

Bindi, L., Eiler, J., Guan, Y., Hollister, L.S., MacPherson, G.J., Steinhardt, P.J. and Yao, N. (2012) Evidence for the extra-terrestrial origin of a natural quasicrystal. Proceedings of the US National Academy of Sciences, 109, 1396–1401.CrossRefGoogle Scholar
Bindi, L., Steinhardt, P.J., Yao, N. and Lu, P.J. (2009) Natural Quasicrystals. Science, 324, 1306–1309.CrossRefGoogle ScholarPubMed
Bindi, L., Steinhardt, P.J., Yao, N. and Lu, P.J. (2011) Icosahedrite, Al63Cu24Fe13, the first natural quasicrystal. American Mineralogist, 96, 928–931.CrossRefGoogle Scholar
Clayton, R.N., Onuma, N. and Mayeda, T.K. (1976) A classification of meteorites based on oxygen isotopes. Earth and Planetary Science Letters, 30, 10–18.CrossRefGoogle Scholar
Janot, C. (1997) Quasicrystals: A Primer. Monographs on the Physics and Chemistry of Materials, 50, Oxford University Press, USA.Google Scholar
Jaszczack, J.A. (1994) Quasicrystals: Novel forms of solid matter. Mineralogical Record, 25, 85–93.Google Scholar
Levine, D. and Steinhardt, P.J. (1984) Quasicrystals: a new class of ordered structures. Physical Review Letters, 53, 2477–2480.CrossRefGoogle Scholar
Levine, D., Lubensky, T.C., Ostlund, S., Ramaswamy, A. and Steinhardt, P.J. (1985) Elasticity and defects in pentagonal and icosahedral quasicrystals. Physical Review Letters, 54, 1520–1523.CrossRefGoogle Scholar
Lima-de-Faria, J. (1990) Historical Atlas of Crystallography. Kluwer Academic Publisher, Dordrecht, Netherlands.Google Scholar
Lu, P.J., Deffeyes, K., Steinhardt, P.J. and Yao, N. (2001) Identifying and indexing icosahedral quasicrystals from powder diffraction patterns. Physical Review Letters, 87, 275507, 1–4.CrossRefGoogle ScholarPubMed
Lubensky, T.C., Socolar, J.E.S., Steinhardt, P.J., Bancel, P.A. and Heiney, P.A. (1986) Distortion and peak broadening in quasicrystal diffraction patterns. Physical Review Letters, 57, 1440–1443.CrossRefGoogle ScholarPubMed
MacPherson, G.J., Andronicos, C.L., Bindi, L., Distler, V.V., Eddy, M.P., Eiler, J.M., Guan, Y., Hollister, L.S., Kostin, A., Kryachko, V., Steinhardt, W.M., Yudovskaya, M. and Steinhardt, P.J. (2013) Khatyrka, a new CV3 find from the Koryak Mountains, Eastern Russia. Meteoritics, 48, 1499–1514.CrossRefGoogle Scholar
Penrose, R. (1974) The role of aesthetics in pure and applied mathematical research. Bulletin of the Institute of Mathematics and its Applications, 10, 266–271.Google Scholar
Razin, L.V., Rudashevskij, N.S. and Vyalsov, L.N. (1985) New natural intermetallic compounds of aluminum, copper and zinc – khatyrkite CuAl2, cupalite CuAl and zinc aluminides from hyperbasites of dunite-harzburgite formation. Zapiski Vsesoyuznogo Mineralogicheskogo Obshchestva, 114, 90–100.[in Russian].Google Scholar
Shechtman, D., Blech, I., Gratias, D. and Cahn, J. (1984) Metallic phase with long-range orientational order and no translational symmetry. Physical Review Letters, 53, 1951–1954.CrossRefGoogle Scholar
Socolar, J. and Steinhardt, P.J. (1986) Quasicrystals II: Unit-cell configurations. Physical Review, B34, 617–647.CrossRefGoogle Scholar
Steurer, W. and Deloudi, S. (2008) Fascinating quasicrystals. Acta Crystallographica, A64, 1–11.CrossRefGoogle Scholar
Tsai, A.P., Inoue, A. and Masumoto, T. (1987) A stable quasicrystal in Al-Cu-Fe system. Japanese Journal of Applied Physics, 26, L1505.CrossRefGoogle Scholar