Abstract
The report in late 1984 of phases in rapidly cooled aluminium alloys whose electron diffraction patterns exhibit icosahedral symmetry has stimulated intensive research into the structure and properties of quasicrystalline materials. Here I review our current understanding of quasicrystalline materials and quasiperiodic tilings, and in particular I discuss in detail the interpretation of transmission electron microscopy observations of quasicrystalline phases.
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Audier M and Guyot P 1986aPhilos. Mag. B53 L43
Audier M and Guyot P 1986bJ. Phys. (Paris), Colloq. C3 405
Audier M, Sainfort P and Dubost B 1986Philos. Mag. B54 L105
Bak P 1986Phys. Rev. Lett. 56 861
Ball M D and Lloyd D J 1985Scr. Metall. 19 1065
Bancel P A and Heiney P A 1986J. Phys. (Paris), Colloq. C3 341
Bancel P A, Heiney P A, Stephens P W, Goldman A I and Horn P M 1985Phys. Rev. Lett. 54 2422
Bancel P A, Heiney P A, Stephens P W and Horn P M 1986Nature (London) 319 104
Bartges C, Tosten M H, Howell P R and Ryba E R 1987J. Mater. Sci. 22 1663
Bendersky L 1985Phys. Rev. Lett. 55 1461
Bendersky L A and Biancaniello F S 1987Scr. Metall. 21 531
Bendersky L A and Kaufman M J 1986Philos. Mag. B53 L75
Bendersky L A and Ridder R J 1986J. Mater. Res. 1 405
Bennett L H, Cahn J W, Schaefer R J, Rubinstein M and Stauss G H 1987Nature (London) 326 372
Berger C, Pavuna D and Cyrot-Lackmann F 1986J. Phys. (Paris), Colloq. C3 489
Bourdillon A J and Stobbs W M 1986Proc. XIth Int. Cong. on Electron Microscopy (eds) T Imura, S Maruse and T Suzuki (Tokyo: Society of Electron Microscopy) p. 523
Cahn J W 1986MRS Bulletin p. 9
Cahn J W and Gratias D 1986J. Phys. (Paris), Colloq. C3 415
Cahn J W, Gratias D and Shechtman D 1986aNature (London) 319 102
Cahn J W, Shechtman D and Gratias D 1986bJ. Mater. Res. 1 13
Cassada W A, Shiflet G J and Starke E A 1986Scr. Metall. 20 751
Chen C H, Joy D C, Chen H S and Hauser J J 1986aPhys. Rev. Lett. 57 743
Chen H S, Phillips J C, Villars P, Kortan A R and Inoue A 1987Phys. Rev. B35 9326
Chen L C, Ebalard S, Goldman L M, Ohashi W, Park B and Spaepen F 1986bJ. Appl. Phys. 60 2638
Cooper M and Robinson K 1966Acta Crystallogr. 20 614
de Bruijn N G 1981aNed. Akad. Wetensch. Proc. A84 39
de Bruijn N G 1981bNed. Akad. Wetensch. Proc. A84 53
Dong C, Chattopadhyay K and Kuo K H 1987Scr. Metall. 21 1307
Dong C, Hei Z K, Wang L B, Song Q H, Wu Y K and Kuo K H 1986Scr. Metall 20 1155
Dubois J-M and Janot C 1987J. Phys. (Paris) 48 1981
Dubost B, Lang J-M, Tanaka M, Sainfort P and Audier M 1986Nature (London) 324 48
Duneau M and Katz A 1985Phys. Rev. Lett. 54 2688
Eibschutz M, Chen H S and Hauser J J 1986Phys. Rev. Lett. 56 169
Elser V 1985Phys. Rev. B32 4892
Elser V 1986Acta Crystallogr. A42 36
Elser V and Henley C L 1985Phys. Rev. Lett. 55 2883
Field R D and Fraser H L 1984–85Mater. Sci. Eng. 68 L17
Field R D, Zindel J W and Fraser H L 1986Scr. Metall. 20 415
Frank F C and Kasper J S 1958Acta Crystallogr. 11 184
Frank F C and Kasper J S 1959Acta Crystallogr. 12 483
Gähler F and Rhyner J 1986J. Phys. A19 267
Gardner M 1977Sci. Am. 236 (1) 110
Gratias D 1987Contemp. Phys. 28 219
Grünbaum B and Shepherd C G 1986Tilings and patterns (New York: W H Freeman)
Guyot P, Audier M and Lequette R 1986J. Phys. (Paris), Colloq. C3 389
Hardy H K and Silcock J M 1955–56J. Inst. Met. 84 423
Heiney P A, Bancel P A, Goldman A I and Stephens P W 1986Phys. Rev. B34 6746
Heiney P A, Bancel P A and Horn P M 1987Phys. Rev. Lett. 59 2119
Henley C L 1985J. Non-Cryst. Solids 75 91
Henley C L 1986Phys. Rev. B34 797
Henley C L 1987Comments Condensed Matter Phys. 13 59
Henley C L and Elser V 1986Philos. Mag. B53 L59
Horn P M, Malzfeldt W, DiVincenzo D P, Toner J and Gambino R 1986Phys. Rev. Lett. 57 1444
Howie A 1978J. Non-Cryst. Solids 31 41
Howie A and Marks L M 1984Philos Mag. A49 95
Ishihara K N and Shingu P H 1986J. Phys. Soc. Jpn. 55 1795
Ishimasa T, Nissen H-U and Fukano Y 1985Phys. Rev. Lett. 55 511
Janot C, Pannetier J, de Boissieu M and Dubois J-M 1987Europhys. Lett. 3 995
Janot C, Pannetier J, Dubois J-M and Fruchart R 1986Phys. Lett. A119 309
Kaufman M J and Melmed A J 1987Philos. Mag. Lett. 56 129
Knowles K M, Greer A L, Saxton W O and Stobbs W M 1985Philos. Mag. B52 L31
Knowles K M and Stobbs W M 1986Nature (London) 323 313
Knowles K M and Stobbs W M 1987J. Microsc. 146 267
Knowles K M and Stobbs W M 1988 Phase transformations, (ed) G W Lorimer (London: The Institute of Metals)
Kortan A R, Chen H S and Waszczak J V 1987J. Mater. Res. 2 294
Krishnan K M, Gronsky R and Tanner L E 1986Scr. Metall. 20 239
Levine D and Steinhardt P J 1986Phys. Rev. B34 596
Lubensky T C, Ramaswamy S and Toner J 1985Phys. Rev. B32 7444
Lubensky T C, Ramaswamy S and Toner J 1986aPhys. Rev. B33 7715
Lubensky T C, Socolar J E S, Steinhardt P J, Bancel P A and Heiney P A 1986bPhys. Rev. Lett. 57 1440
Ma Y, Stern E A and Gayle F W 1987Phys. Rev. Lett. 58 1956
Mackay A L 1962Acta Crystallogr. 15 916
Mackay A L 1981Kristallografiya 26 910
Mackay A L 1982Physica A114 609
Mackay A L 1986Nature (London) 319 103
Mackay A L 1987J. Rapid Solidification 2 S1
Melmed A J and Klein R 1986Phys. Rev. Lett. 56 1478
Marks L M 1984Philos. Mag. A49 81
Mukhopadhyay N K, Ranganathan S and Chattopadhyay K 1987Philos. Mag. Lett. 56 121
Nelson D R 1986Sci. Am. 255 (2) 32
Nicol A D I 1953Acta Crystallogr. 6 285
Pauling L 1960The nature of the chemical bond (Oxford: University Press)
Pauling L 1985Nature (London) 317 512
Pauling L 1987aPhys. Rev. Lett. 58 365
Pauling L 1987bPhys. Rev. Lett. 59 2120
Pearson W B 1972The crystal chemistry and physics of metals and alloys (New York: Wiley-Interscience)
Penrose R 1974Bull. Inst. Math. Appl. 10 266
Poon S J, Drehman A J and Lawless K R 1985Phys. Rev. Lett. 55 2324
Poon S J, Preische S and Shen Y 1986 (unpublished)
Ramachandrarao P and Sastry G V S 1985Pramana — J. Phys. 25 L225
Rao K V, Kapre N, Malmhäll R, Åström H U and Chen H S 1986Mater. Res. Soc. Symp. Proc. 58 229
Robertson J L, Misenheimer M E, Moss S C and Bendersky L A 1986Acta Metall. 34 2177
Sachdev S and Nelson D R 1985Phys. Rev. B32 4592
Sadoc A, Flank A M, Lagarde P, Sainfort P and Bellisent R 1986J. Phys. (Paris) 47 873
Saito Y 1979J. Crystal Growth 47 61
Saito Y, Takemoto A, Tanaka N and Mihama K 1986Proc. XIth Int. Cong. on Electron Microscopy (eds) T Imura, S Maruse and T Suzuki (Tokyo: Society of Electron Microscopy) p. 169
Schaefer R J 1986Scr. Metall. 20 1187
Schaefer R J and Bendersky L 1986Scr. Metall. 20 745
Schaefer R J, Bendersky L A and Biancaniello F S 1986J. Phys. (Paris), Colloq. C3 311
Shechtman D and Blech I A 1985Metall. Trans. A16 1005
Shechtman D, Blech I, Gratias D and Cahn J W 1984Phys. Rev. Lett. 53 1951
Shen Y, Poon S J, Dmowski W, Egami T and Shiflet G J 1987Phys. Rev. Lett. 58 1440
Smith D J and Marks L M 1981Philos. Mag. A44 735
Socolar J E S 1986J. Phys. (Paris), Colloq. C3 217
Socolar J E S and Steinhardt P J 1986Phys. Rev. B34 617
Socolar J E S, Steinhardt P J and Levine D 1985Phys. Rev. B32 5547
Socolar J E S and Wright D C 1987Phys. Rev. Lett. 59 221
Steeds J W, Ayer R, Lin Y P and Vincent R 1986J. Phys. (Paris), Colloq. C3 437
Steinhardt P J 1986Am. Sci. 74 586
Stephens P W and Goldman A I 1986Phys. Rev. Lett. 56 1168
Stern E A, Ma Y and Bouldin C E 1985Phys. Rev. Lett. 55 2172
Stern E A, Ma Y, Bauer K and Bouldin C E 1986J. Phys. (Paris), Colloq. C3 371
Stobbs W M and Chevalier J-P A A 1978Acta Metall. 26 233
Sutton A P 1988Acta Metall. 36 1291
Swartzendruber L J, Shechtman D, Bendersky L A and Cahn J W 1985Phys. Rev. B32 1383
Tanaka M, Terauchi M, Hiraga K and Hirabayashi M 1985Ultramicroscopy 17 279
Urban K, Moser N and Krönmuller H 1985Phys. Status Solidi (a)91 411
Urban K, Mayer J, Rapp M, Wilkens M, Csanady A and Fidler J 1986J. Phys. (Paris), Colloq. 47 C3 465
Villars P, Phillips J C and Chen H S 1986Phys. Rev. Lett. 57 3085
Wang N, Chen H and Kuo K H 1987Phys. Rev. Lett. 59 1010
Widom M 1987Nature (London) 327 19
Yang C Y 1979J. Crystal Growth 47 274
Yang C Y, Yacaman M J and Heinemann K 1979J. Crystal Growth 47 283
Yu-Zhang K, Bigot J, Martin G, Portier R and Gratias D 1986Proc. XIth Int. Cong. on Electron Microscopy, (eds) T Imura, S Maruse and T Suzuki (Tokyo: Society of Electron Microscopy) p. 167
Zhang Z and Kuo K H 1987J. Microsc. 146 313
Zhang Z, Ye H Q and Kuo K H 1986Philos. Mag. A52 L49
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Knowles, K.M. Quasicrystalline materials. Bull. Mater. Sci. 12, 271–292 (1989). https://doi.org/10.1007/BF02747137
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DOI: https://doi.org/10.1007/BF02747137