The hume-rothery rules for structurally complex alloy phases

Surface Properties And Engineering Of Complex Intermetallics

Volumn 3, Issue , 2010, Pages 323-399

  Mizutani, Uichiro ^a  

^a TOYOTA PHYSICAL AND CHEMICAL RESEARCH INSTITUTE   (Japan)

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EID: 85124447018     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Chapter

References (90)

1. T. Egami and Y. Waseda, J.Non-Cryst. Solids, 64 113 (1984).
2. G. V. Raynor, Prog.Met.Phys., 1 1 (1949).
3. W. Hume-Rothery, J.Inst. Metals, 35 295 (1926).
4. A. Westgren and G. Phragmén, Phil. Mag., 50 311 (1925).
5. A. J. Bradley and J. Thewlis, Proc.Roy.Soc,. (A). 112 678 (1926).
6. A. Westgren and G. Phragmén, Metallwirtschaft, 7 700 (1928).
7. A.F. Westgren and G. Phragmén, Trans. Farad. Soc., 25 379 (1929).
8. N. F. Mott and H. Jones, "The Theory of the Properties of Metals and Alloys", (Clarendon Press, Oxford, England, 1936), pp.168-174.
9. T. B. Massalski and H. W. King, Prog. Mat. Sci., 10 1 (1961).
10. T. B. Massalski and U. Mizutani, Prog. Mat. Sci.,. 22 151 (1978).
11. th Int.Conf. on Positron Annihilation (The Japan Institute of Metals, Japan, 1979).
12. T. Suzuki, M. Hasegawa and M. Hirabayashi, J. Phys., F6 779 (1976).
13. D. Shechtman, I. Blech, D. Gratias and J. W. Cahn, Phys. Rev. Lett., 53 1951 (1984).
14. A. P. Tsai, A. Inoue and T. Masumoto, Jpn. J. Appl. Phys., 27 L1587 (1988).
15. A. P. Tsai, A. Inoue, Y. Yokoyama and T. Masumoto, Mater. Trans. Jpn. Inst. Met., 31 98 (1990).
16. Y. Yokoyama, A.P. Tsai, A. Inoue, T. Masumoto and H. S. Chen, Mater. Trans. Jpn. Inst. Met., 32 421 (1991).
17. T. Fujiwara, Phys. Rev., B40 942 (1989).
18. A. Yamamoto, Acta Cryst., A52 509 (1996).
19. E. Belin and A. Traverse, J. Phys.: Condens. Matter, 3 2157 (1991).
20. C. Kittel, "Introduction to Solid State Physics", (Third Edition, John Wiley & Sons, New York, 1967), Chapter 3
21. C. D. Gellat, Jr., A.R. Williams and V.L. Moruzzi, Phys.Rev., B27 2005 (1983).
22. U. Mizutani, "Introduction to the Electron Theory of Metals", (Cambridge Univ. Press, 2001).
23. N. W. Ashcroft and N.D.Mermin, "Solid State Physics", (Saunders College, West Washington Square, Philadelphia, PA 19105 (1976)), Chapter 20, p.410
24. E. Wigner and F. Seitz, Phys. Rev., 43 804 (1933).
25. R. W. Swalin, "Thermodynamics of Solids", (Second Edition, John Wiley & Sons, New York, 1972).
26. F. R. de Boer, R. Boom, W. C. M.Mattens, A. R. Miedema and A. K. Niessen, "Cohesion in Metals", (North-Holland 1988).
27. U. Mizutani, Materia (in Japanese)., vol.45 No.8, (2006). pp.605-610
28. G. Gruner, "Density waves in solids", (Addison-Wesley Longmans, Inc., U.S.A., 1994).
29. U. Mizutani, Prog. Mat. Sci., 49 227 (2004).
30. U. Mizutani, "The Science of Complex Alloy Phases", Eds. T.B.Massalski and P.E.A.Turchi., (The Minerals, Metals & Materials Society) pp.1-42 (2005).
31. G. Trambly de Laissardiere, D. Nguyen-Manh and D. Mayou, Prog. Mat. Sci. 50 679 (2005).
32. A.J.Bradley and P. Jones, J. Inst. Met., 51 131 (1933).
33. A. J. Bradley, Phil. Mag., 7, 878 (1929).
34. P. Villars (Ed.)., "Pearson's Handbook", Vol. 2, (ASM International, OH, 1997).
35. H. Okamoto, "Phase Diagrams for Binary Alloys", (ASM International, OH, 2000).
36. L. Arnberg, A. Johansson and S. Westman, Acta Cryst., A31 S98 (1975).
37. M. H. Booth, J. K. Brandon, R. Y. Brizard, C. Chieh and W. B. Pearson, Acta Cryst., B33 30 (1977).
38. J. K. Brandon, W. B. Pearson, P. W. Riley, C. Chieh and R. Stokhuyzen, Acta Cryst., B33 1088 (1977).
39. E. H. Kisi and J. D. Browne, Acta Cryst, B47 835 (1991).
40. S. Westman, Acta Chem.Scand., 19 1411 (1965).
41. O. V. Heidenstam, A. Johansson and S. Westman, Acta Chem.Scand., 22 653 (1968).
42. J. K. Brandon, R. Y. Brizard, P. C. Chieh, R. K. McMillan and W. B. Pearson, Acta Cryst., B30 1412 (1974).
43. L. Arnberg and S. Westman, Acta Cryst., A34 399 (1978).
44. R. Asahi, H. Sato, T. Takeuchi and U. Mizutani, Phys. Rev, B71 165103 (2005).
45. L. Arnberg and S. Westman, Acta Chem.Scand., 26 513 (1972).
46. L. Arnberg and S. Westman, Acta Chemica Scand.., 26 1748 (1972).
47. T. Noritake, M. Aoki, S. Towata, T. Takeuchi and U. Mizutani, Acta Cryst., B63 726 (2007).
48. W. Hume-Rothery, "Atomic Theory for Students of Metallurgy", (Institute of Metals, London, Monograph and Report Series No.3, 4th Edition, 1962)., p. 306
49. H.Jones, Proc. Phys.Soc., A49 250 (1937).
50. B.Pippard, Phil. Trans.Roy. Soc., A250 325 (1957).
51. W. Hume-Rothery, J. Inst. Met., 9 42 (1961-62).
52. V. Heine and D. Weaire, "Solid State Physics" Eds. H.Ehrenreich, F.Seitz and D.Turnbull, vol.24 (Academic Press, New York) p.249 (1970).
53. J.M.Ziman, Adv. Phys., 10 1 (1961).
54. A. Blandin, "Alloying Behavior and Concentrated Solid Solutions", Ed. T.B.Massalski, (Gordon and Breach, New York) (1965).
55. H. Beck and R. Oberle, Proc. of 3rd Int.Conf. on Rapidly Quenched Metals, Ed. B.Cantor, University of Sussex, England) vol.1, p.416(1978).
56. J.Hafner, Phys. Rev., B 21 406 (1980).
57. P. Häussler, Phys. Rep., 222 (IV-2). (1992). 65.
58. "The Science of Complex Alloy Phases", Eds. T.B.Massalski and P.E.A.Turchi, (TMS: The Minerals, Metals & Materials Society) pp.43-86 (2005).
59. J.Friedel, Helvetica Physica Acta, 61 538 (1988).
60. T.Fujiwara and T.Yokokawa, Phys. Rev. Lett., 66 333 (1991).
61. J.Hafner and M.Krajci, Phys. Rev., B47 11795 (1993).
62. T.Takeuchi and U.Mizutani, Phys. Rev., B52 9300 (1995).
63. G.Trambly de Laissardiere, D.Nguyen Manh, L.Magaud, J.P.Julien, F.Cyrot-Lackmann and D.Mayou, Phys. Rev., B52 7920 (1995).
64. A.T.Paxton, M.Methfessel and D.G.Pettifor, Proc. R.. Soc. Lond. A 453 1493 (1997).
65. H.Sato, T.Takeuchi and U.Mizutani, Phys. Rev., B64 094207 (2001).
66. H.Sato, T.Takeuchi and U.Mizutani, Phys. Rev, B70 024210 (2004).
67. E.Wimmer, H.Krakauer, M.Weinert and A.J.Freeman, Phys. Rev., B 24 864 (1981).
68. M.Weinert, E.Wimmer and A.J.Freeman, Phys. Rev., B26 4571 (1982).
69. H.J.F.Jansen and A.J.Freeman, Phys. Rev., B30 561 (1984).
70. L.Hedin and B.I.Lundqvist, J. Phys. C 4 2064 (1971).
71. H.J.Monkhorst and J.D.Pack, Phys. Rev., B13, 5188 (1976).
72. C.Jepsen and O.K.Andersen, Solid State Commun., 9, 1763 (1971).
73. G.Lehmann and M.Taut, Phys.Status Solidi, 54, 469 (1972).
74. R.Asahi, H.Sato, T.Takeuchi and U.Mizutani, Phys. Rev., B72 125102 (2005).
75. A.Johansson, H.Ljung and S.Westman, Acta Chem.Scand. 22, 2743 (1968).
76. V.-A.Edström and S.Westman, Acta Chem.Scand. 23, 279 (1969).
77. U.Mizutani, R.Asahi, H.Sato and T.Takeuchi, Phys. Rev. B74 235119 (2006).
78. B.T.Matthias, Phys. Rev. 97 74 (1955).
79. Y. Nishino, "The Science of Complex Alloy Phases", Eds. T.B.Massalski and P.E.A.Turchi., (The Minerals, Metals & Materials Society) p.325-344 (2005).
80. A.P.Tsai, A.Inoue and T.Masumoto, Jpn. J. Appl. Phys. 27 L1587 (1988).
81. A.P. Tsai, "The Science of Complex Alloy Phases", Eds. T.B.Massalski and P.E.A.Turchi., (The Minerals, Metals & Materials Society) p.201-214 (2005).
82. T. Ishimasa, "The Science of Complex Alloy Phases", Eds. T.B.Massalski and P.E.A.Turchi., (The Minerals, Metals & Materials Society) p.231-249 (2005).
83. E.S.Zijlstra and S.K.Bose, Phil. Mag. 86 717 (2006).
84. J.B.Haworth and W.Hume-Rothery, Phil. Mag. 43 613 (1952).
85. U.Mizutani, T.Takeuchi and H.Sato, Prog. Mat. Sci. 49 227 (2004).
86. T. Ishimasa, S. Kashimoto and R. Maezawa, Materials Research Society Symposium Proceedings 805 (2004). p.3-14
87. R. Asahi, H. Sato, T. Takeuchi and U. Mizutani, Phys. Rev., B71 165103 (2005).
88. T.Takeuchi and U.Mizutani, J. Alloys and Compounds, 342 416 (2002).
89. U.Mizutani, R.Asahi, T.Takeuchi, H.Sato, O.Y. Kontsevoi and A.J. Freeman, presented at 10th Int.Conf.on Quasicrystals, (Zurich, Switzerland, July 2008).
90. R.Weht and W.E.Pickett, Phys. Rev., B 58 6855 (1998).