Hostname: page-component-7dd5485656-dk7s8 Total loading time: 0 Render date: 2025-10-26T16:23:30.469Z Has data issue: false hasContentIssue false
  • English
  • Français

Predicting quasicrystals with quantum structural diagrams

Published online by Cambridge University Press:  31 January 2011

Jean Tartas  and
Emile J. Knystautas
Jean Tartas
Affiliation:
Département de Physique, Université Laval, Québec, Canada, G1K 7P4
Emile J. Knystautas
Affiliation:
Département de Physique, Université Laval, Québec, Canada, G1K 7P4

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Binary and ternary quasicrystals have been successfully separated by means of quantum structural diagrams in the light of new experimental data, and new potential candidates for the quasicrystalline state are presented. A general and simple classification of alloy systems, consistent with the experimental data, is proposed, which allows predictions of any type of binary and ternary quasicrystals. Quantum coordinates are analyzed and interpreted, and suggestions are given for an improvement of the present method.

Information

Type
Articles
Information
Journal of Materials Research , Volume 6 , Issue 6 , June 1991 , pp. 1219 - 1229
Copyright
Copyright © Materials Research Society 1991

References

1.Ronchetti, M., Philos. Mag. B 56, 237 (1987).CrossRefGoogle Scholar
2.Kuo, K. H., Key Eng. Mater. 13–15, 219 (1987).CrossRefGoogle Scholar
3.Villars, P., Phillips, J. C., and Chen, H. S., Phys. Rev. Lett. 57, 3085 (1986) and references therein.CrossRefGoogle Scholar
4.Villars, P. and Phillips, J. C., Phys. Rev. B 37, 2345 (1988).CrossRefGoogle Scholar
5.Phillips, J. C., Phys. Rev. B 37, 2483 (1988).CrossRefGoogle Scholar
6.Villars, P. and Hullinger, F., J. Less-Common Met. 132, 289 (1987).CrossRefGoogle Scholar
7.Zhang, S. B., Cohen, M. L., and Phillips, J. C., Phys. Rev. B 36, 5861 (1987).CrossRefGoogle Scholar
8.Villars, P., J. Less-Common Met. 92, 215 (1983).CrossRefGoogle Scholar
9.Villars, P., J. Less-Common Met. 109, 93 (1985).CrossRefGoogle Scholar
10.Alonso, J. A. and March, N. H., in Electron in Metals and Alloys (Academic Press, London, 1989).Google Scholar
11.Rajasekharan, T., Gopalan, R., Akhtar, D., and Banerjee, D., Scripta Metall. 21, 289 (1987).CrossRefGoogle Scholar
12.Gopalan, R., Akhtar, D., and Rajasekharan, T., Z. Metallk. 81, 111 (1990).Google Scholar
13.Tsai, A-P., Inoue, A., and Masumoto, T., Mater. Trans. JIM 30, 463 (1989).CrossRefGoogle Scholar
14.Menon, J. and Suryanarayana, C., Mater. Trans. JIM 30, 878 (1989).CrossRefGoogle Scholar
15.Lawther, D. W., Dunlap, R. A., and Srinivas, V., Can. J. Phys. 67, 463 (1989).CrossRefGoogle Scholar
16.Lilienfeld, D. A., in Fundamentals of Beam-Solid Interactions and Transient Thermal Processing, edited by Aziz, M. J., Rehn, L. E., and Stritzker, B. (Mater. Res. Soc. Symp. Proc. 100, Pittsburgh, PA, 1988), p. 45.Google Scholar
17.Maineila, R., Florescu, V., Jianu, A., and Badescu, A., Phys. Status Solidi 109, 61 (1988).CrossRefGoogle Scholar
18.Dunlap, R. A., Lawther, D. W., and Lloyd, D. J., Phys. Rev. B 38, 3649 (1988).CrossRefGoogle Scholar
19.Inoue, A., Kimura, H. M., Masumoto, T., Tsai, A. P., and Bizen, Y., J. Mater. Sci. Lett. 6, 771 (1987).CrossRefGoogle Scholar
20.Zhou, W. L., Li, X. Z., and Kuo, K. H., Scripta Metall. 23, 1571 (1989).CrossRefGoogle Scholar
21.Bancel, P. A. and Heiney, P. A., J. de Physique, Colloq. 47, C3–341 (1986).Google Scholar
22.He, L. X., Li, X. Z., Zhang, Z., and Kuo, K. H., Phys. Rev. Lett. 61, 1116 (1988).CrossRefGoogle Scholar
23.Zhang, H. and Kuo, K. H., Scripta Metall. 23, 355 (1989).CrossRefGoogle Scholar
24.Tsai, A-P., Inoue, A., and Masumoto, T., J. Mater. Sci. Lett. 7, 322 (1988).CrossRefGoogle Scholar
25.Ebalard, S. and Spaepen, F., J. Mater. Res. 5, 62 (1990).CrossRefGoogle Scholar
26.Tsai, A-P., Inoue, A., and Masumoto, T., Mater. Trans. JIM 30, 666 (1989).CrossRefGoogle Scholar
27.Eckert, J., Schultz, L., and Urban, K., Appl. Phys. Lett. 55, 117 (1989).CrossRefGoogle Scholar
28.Van Tendeloo, G., Van Heurck, C., and Amelinckx, S., Solid State Commun. 71, 705 (1989).CrossRefGoogle Scholar
29.Tsai, A-P., Inoue, A., and Masumoto, T., Jpn. J. Appl. Phys. 27, L1587 (1988).CrossRefGoogle Scholar
30.Hiraga, K., Hirabayashi, M., Tsai, A-P., Inoue, A., and Masumoto, T., Philos. Mag. Lett. 60, 201 (1989).CrossRefGoogle Scholar
31.Tsai, A-P., Inoue, A., Bizen, Y., and Masumoto, T., Acta Metall. 37, 1443 (1989).CrossRefGoogle Scholar
32.Dubois, J. M., de, M. Boissieu, and Pianelli, A., Scripta Metall. 23, 1069 (1989).CrossRefGoogle Scholar
33.Yang, L. Y., Zhao, J. G., Zhan, W. S., Yang, C. Y., Zhou, Y. Q., and Fung, K. K., J. Phys. F 17, L97 (1987).CrossRefGoogle Scholar
34.Angers, L. M., Marks, L. D., Weertman, J. R., and Fine, M. E., in Materials Problem Solving with the Transmission Electron Microscope, edited by Hobbs, L. W., Westmacott, K. H., and Williams, D. B. (Mater. Res. Soc. Symp. Proc. 62, Pittsburgh, PA, 1986), p. 255.Google Scholar
35.Srinivas, V., McHenry, M. E., and Dunlap, R. A., Phys. Rev. B 40, 9590 (1989).CrossRefGoogle Scholar
36.Tsai, A-P., Inoue, A., and Masumoto, T., Jpn. J. Appl. Phys. 27, L5 (1988).CrossRefGoogle Scholar
37.Chen, H. S., Phillips, J. C., Villars, P., Kortan, A. R., and Inoue, A., Phys. Rev. B 35, 9326 (1987).CrossRefGoogle Scholar
38.Dubost, B., Lang, J-M., Tanaka, M., Sainfort, P., and Audier, M., Nature 324, 48 (1986).CrossRefGoogle Scholar
39.Cassada, W. A., Shen, Y., Poon, S. J., and Shiflet, G. J., Phys. Rev. B 34, 7413 (1986).CrossRefGoogle Scholar
40.Baranidharan, S., Sundaramoorthy, M., Sekhar, J. A., Gopal, E. S. R., and Sasisekharan, V., Phase Trans. 16–17, 615–620 (1989).CrossRefGoogle Scholar
41.Inoue, A., Nakano, K., Bizen, Y., Masumoto, T., and Chen, Ho Sou, Jpn. J. Appl. Phys. 27, L944 (1988).CrossRefGoogle Scholar
42.Inoue, A., Nakano, K., Masumoto, T., and Chen, Ho Sou, Mater. Trans. JIM 30, 200 (1989).CrossRefGoogle Scholar
43.Mukhopadhyay, N. K., Mater. Forum 13, 228 (1989).Google Scholar
44.Wagner, J. L., Biggs, B. D., Wong, K. M., and Poon, S. J., Phys. Rev. B 38, 7436 (1988).CrossRefGoogle Scholar
45.Chen, H. S. and Inoue, A., Scripta Metall. 21, 527 (1987).CrossRefGoogle Scholar
46.Shibuya, T., Kimura, K., and Takeuchi, S., Jpn. J. Phys. A 27, 1577 (1988).CrossRefGoogle Scholar
47.Yamane, H., Kimura, K., Shibuya, T., and Takeuchi, S., Mater. Sci. Forum 22–24, 539 (1987).CrossRefGoogle Scholar
48.Sadoc, A., J. Physique, Colloq. 47, C3–1003 (1986).Google Scholar
49.Zhenhua, C., Yun, W., Duosan, Z., and Xiangyang, J., Scripta Metall. Mater. 24, 599–604 (1990).CrossRefGoogle Scholar
50.Schaefer, R. J., Scripta Metall. 20, 1187 (1986).CrossRefGoogle Scholar
51.Xu, R., Werkman, R. D., Vince, I., Shurer, P. J., and Van der Woude, F., Hyperfine Interact. 45, 403 (1988).CrossRefGoogle Scholar
52.Sadoc, A., Flank, A. M., and Lagarde, P., Physica B 158, 60 (1989).CrossRefGoogle Scholar
53.Sadoc, A., J. Non-Cryst. Solids 106, 166 (1988).CrossRefGoogle Scholar
54.Antonione, C. and Battezzati, L., J. Less-Common Met. 145, 421 (1988).CrossRefGoogle Scholar
55.Berger, C., Hasselbach, K., Lasjaunias, J. C., Paulsen, C., and Germi, P., J. Less-Common Met. 145, 565 (1988).CrossRefGoogle Scholar
56.Dunlap, R. A., McHenry, M. E., Srinivas, V., Bahadur, D., and O'Handley, R. C., Phys. Rev. B 39, 4808 (1989).CrossRefGoogle Scholar
57.Wang, N. and Kuo, K. H., Philos. Mag. Lett. 61, 63 (1990).CrossRefGoogle Scholar
58.Yavari, A. R. and Verger-Gaury, J. L., J. Mater. Sci. 23, 3383 (1988).CrossRefGoogle Scholar
59.Tsai, A-P., Inoue, A., Yokoyama, Y., and Masumoto, T., Philos. Mag. Lett. 61, 9 (1990).CrossRefGoogle Scholar
60.Tsai, A-P., Inoue, A., Yokoyama, Y., and Masumoto, T., Mater. Trans. 31, 98 (1990).CrossRefGoogle Scholar
61.McHenry, M. E., Srinivas, V., Bahadur, D., O'Handley, R. C., Lloyd, D. J., and Dunlap, R. A., Phys. Rev. B 39, 3611 (1989).CrossRefGoogle Scholar
62.Zhang, H., Wang, D. H., and Kuo, K. H., J. Mater. Sci. 24, 2981 (1989).CrossRefGoogle Scholar
63.Yamane, H., Kimura, K., Shibuya, T., and Takeuchi, S., Mater. Sci. Forum 22–24, 539 (1987).CrossRefGoogle Scholar
64.Wang, N., Chen, H., and Kuo, K. H., Phys. Rev. Lett. 59, 1010 (1987).CrossRefGoogle Scholar
65.Shechtman, D., Phys. Rev. Lett. 53, 1951 (1984).CrossRefGoogle Scholar
66.Kuo, K. H., Dong, C., Zhou, D. S., Guo, Y. X., Hei, Z. K., and Li, D. X., Scripta Metall. 20, 1695 (1986).CrossRefGoogle Scholar
67.Antonione, C., Battezzati, L., Marino, F., and Marazzone, R., J. Less-Common Met. 154, 169 (1989).CrossRefGoogle Scholar
68.Kelton, K. F., Phase Trans. 16–17, 367 (1989).CrossRefGoogle Scholar
69.Dunlap, R. A., McHenry, M. E., and O'Handley, R. C., J. Appl. Phys. 64, 5956 (1988).CrossRefGoogle Scholar
70.Zhang, Z. and Kuo, K. H., Mod. Phys. Lett. B 1, 89 (1987).CrossRefGoogle Scholar
71.Wang, N., Chen, H., and Kuo, K. H., Phys. Rev. Lett. 59, 1010 (1987).CrossRefGoogle Scholar
72.Ohashi, W. and Spaepen, F., Nature 330, 555 (1987).CrossRefGoogle Scholar
73.Sibertsev, S. A., Chebotnikov, V. N., Molokanov, V. V., and Kovneristyi, Yu. K., Pis'ma Zh. Eksp. Teor. Fiz 47, 644 (1988).Google Scholar
74.Menon, J. and Suryanarayana, C., Scripta Metall. 22, 1125 (1988).CrossRefGoogle Scholar
75.Dunlap, R. A. and Dini, K., J. Phys. F 16, 11 (1986).CrossRefGoogle Scholar
76.Nishitani, S. R., Ishihara, K. N., Kobayashi, K. F., and Shingu, P. H., Mater. Sci. Eng. 99, 443 (1988).CrossRefGoogle Scholar
77.Zhang, H., Wang, D. H., and Kuo, K. H., Phys. Rev. B 37, 6220 (1988).CrossRefGoogle Scholar
78.Lawther, D. W., Lloyd, D. J., and Dunlap, R. A., Mater. Sci. Eng. A 123, 33 (1990).CrossRefGoogle Scholar
79.Rauschenbach, B. and Heera, V., J. Mater. Sci. Lett. 6, 401 (1987).CrossRefGoogle Scholar
80.Hohmuth, K., Heera, V., and Rauscheenbach, B., Nucl. Instr. Meth. Phys. Res. B 39, 136 (1989).CrossRefGoogle Scholar
81.Follstaedt, D. M. and Knapp, J. A., Mater. Sci. Eng. 90, 1 (1987).CrossRefGoogle Scholar
82.Bendersky, L. A., Mater. Sci. Eng. 99, 331 (1988).CrossRefGoogle Scholar
83.Follstaedt, D. M. and Knapp, J. A., Mater. Sci. Eng. 99, 367 (1988).CrossRefGoogle Scholar
84.Harmelin, M. and Yu-Zhang, K., J. Less-Common Met. 145, 411 (1988).CrossRefGoogle Scholar
85.Li, X. Z. and Kuo, K. H., Philos. Mag. Lett. 58, 167 (1988).CrossRefGoogle Scholar
86.Van Bakel, G. P., Bronsveld, P. M., and De Hosson, J. Th. M., J. Physique Coll. C8–265 (1989).Google Scholar
87.Bancel, P. A., Heiney, P. A., Stephens, P. W., Goldman, A. I., and Horn, P. M., Phys. Rev. Lett. 54, 2422 (1985).CrossRefGoogle Scholar
88.Knapp, J. A. and Follstaedt, D. M., in Fundamentals of Beam-Solid Interactions and Transient Thermal Processing, edited by Aziz, M. J., Rehn, L. E., and Stritzker, B. (Mater. Res. Soc. Symp. Proc. 100, Pittsburgh, PA, 1988), p. 597.Google Scholar
89.McHenry, M. E. and O'Handley, R. C., in Plasma Processing and Synthesis of Materials, edited by Apelian, D. and Szekely, J. (Mater. Res. Soc. Symp. Proc. 98, Pittsburgh, PA, 1987), p. 363.Google Scholar
90.Hua, L., Shouting, J., Meiving, Q., Yicheng, S., and O'Handley, R. C., Acta Metall. Sin. 24, A131 (1988).Google Scholar
91.Ishimasa, T., Nissen, H. U., and Fukano, Phys. Rev. Lett. 55, 511 (1985).CrossRefGoogle Scholar
92.Bendersky, L. A. and Biancaniello, F. S., Scripta Metall. 21, 531 (1987).CrossRefGoogle Scholar
93.Huang, L. J., Chen, Q. M., Liu, B. X., Fan, Y. D., and Li, H-D., in Processing and Characterization of Materials Using Ion Beams, edited by Rehn, L. E., Greene, J., and Smidt, E. A. (Mater. Res. Soc. Symp. Proc. 128, Pittsburgh, PA, 1989), p. 225.Google Scholar
94.Shang, C. H., Li, J., Li, H-D., and Liu, B. X., J. Phys. F 18, L169 (1988).CrossRefGoogle Scholar
95.He, A. Q., Yang, Q. B., and Ye, H. Q., Philos. Mag. Lett. 61, 69 (1990).CrossRefGoogle Scholar
96.Cao, W., Ye, H. Q., and Kuo, K. H., Phys. Status Solidi 107, 511 (1988).CrossRefGoogle Scholar
97.Gibbons, P. C., Kelton, K. F., Levine, L. E., and Phillips, R. B., Phase Trans. 16–17, 239 (1989).CrossRefGoogle Scholar
98.Sekhar, J. A., Rao, P. V., and Trivedi, R., Scripta Metall. 21, 543 (1987).CrossRefGoogle Scholar
99.Mandal, P., Singh, A. K., and Srivastava, O. N., Cryst. Res. Technol. 23, K139 (1988).CrossRefGoogle Scholar
100.Dong, C., Hei, Z. K., Wang, L. B., Song, Q. H., Wu, Y. K., and Kuo, K. H., Scripta Metall. 20, 1155 (1986).CrossRefGoogle Scholar
101.Yang, Q. B., Philos. Mag. Lett. 57, 171 (1988).CrossRefGoogle Scholar