Application of the cluster variation method to ordering in an interstitial solid solution: the γ-Fe[N]/γ′-Fe4N1-x equilibrium

Metallurgical and Materials Transactions A: Physical Metallurgy and Materials Science

Volumn 30, Issue 8, 1999, Pages 1945-1953

  Pekelharing, M I ^a   Bottger A J ^a   Somers, M A J ^b   Mittemeijer, E J ^a  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

^b TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; LATTICE CONSTANTS; MATHEMATICAL MODELS; NITROGEN; PHASE EQUILIBRIA; STRAIN; THERMODYNAMICS;

CLUSTER VARIATION METHOD; LENNARD-JONES POTENTIAL; LONG RANGE ORDERING; MISCIBILITY GAP; SHORT RANGE ORDERING; STRAIN INDUCED INTERACTION;

IRON ALLOYS;

EID: 0032592545     PISSN: 10735623     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11661-999-0005-0     Document Type: Article

References (52)

1. M. Hillert and L.I. Staffansson: Acta Chem. Scand., 1970, vol. 24 (10), pp. 3618-26.
2. H. Harvig: Acta Chem. Scand., 1971, vol. 25 (9), pp. 3199-3204.
3. L. Kaufman and H. Bernstein: Computer Calculations of Phase Diagrams, Academic Press, New York, NY, 1970.
4. O. Redlich and A.T. Kister: Ind. Eng. Chem., 1948, vol. 40, p. 345.
5. K.H. Jack: Proc. R. Soc., 1948, vol. A195, pp. 34-55.
6. K.H. Jack: Acta Cryst., 1952, vol. 5, pp. 404-11.
7. M. Hillert and M. Jarl: Metall. Trans. A, 1975, vol. 6A, pp. 553-59.
8. J. Ågren: Metall. Trans. A, 1979, vol. 10A, pp. 1847-52.
9. J. Kunze: Steel Res., 1986, vol. 57 (8), pp. 361-67.
10. J. Kunze: Nitrogen and Carbon in Iron and Steels; Thermodynamics, Physical Research, Akademie Verlag, Berlin, 1990, vol. 16, pp. 76-85.
11. K. Frisk: CALPHAD, 1987, vol. 11 (2), pp. 127-34.
12. K. Frisk: CALPHAD, 1991, vol. 15 (1), pp. 79-106.
13. H. Du: J. Phase Equil., 1993, vol. 14 (6), pp. 682-93.
14. B.J. Kooi, M.A.J. Somers, and E.J. Mittemeijer: Metall. Mater. Trans. A, 1996, vol. 27A, pp. 1063-71.
15. N.A. Gokcen: Statistical Thermodynamics of Alloys, Plenum Press, New York, NY, 1986.
16. B.J. Kooi, M.A.J. Somers, and E.J. Mittemeijer: Metall. Mater. Trans. A, 1996, vol. 27A, pp. 1055-61.
17. M.A.J. Somers, B.J. Kooi, L. Maldzinski, E.J. Mittemeijer, A.A. van der Horst, A.M. van der Kraan, and N.M. van der Pers: Acta Mater., 1997, vol. 45 (5), pp. 2013-25.
18. R.B. McLellan and K. Alex: Scripta Metall., 1970, vol. 4, pp. 967-70.
19. I. Fall and J.-M.R. Genin: Metall. Mater. Trans. A, 1996, vol. 27A, pp. 2160-77.
20. R. Kikuchi and D. de Fontaine: Proc. Workshop at NBS Gaithersburg, Application of Phase Diagrams in Metallurgy and Ceramics, 1977, pp. 967-79.
21. D. de Fontaine and R. Kikuchi: Proc. Workshop at NBS Gaithersburg, Application of Phase Diagrams in Metallurgy and Ceramics, 1977, pp. 999-1027.
22. C. Zener: Phys. Rev., 1948, vol. 74 (6), pp. 639-47.
23. B. Burton and R. Kikuchi: Phys. Chem. Minerals, 1984, vol. 11, pp. 125-31.
24. B. Burton: Phys. Chem. Minerals, 1984, vol. 11, pp. 132-39.
25. J.M. Sanchez, J.R. Barefoot, R.N. Jarrett, and J.K. Tien: Acta Metall., 1984, vol. 32 (9), pp. 1519-25.
26. R. Kikuchi: J. Chem. Phys., 1974, vol. 60, pp. 1071-80.
27. R. Kikuchi: Phys. Rev., 1951, vol. 81, pp. 988-1003.
28. C. Colinet: Theory and Applications of the Cluster Variation Method and Path Probability Methods, J.L. Morán-López and J.M. Sanchez, Plenum Press, New York, NY, 1996, pp. 313-40.
29. C.M. van Baal: Physica, 1973, vol. 64, pp. 571-86.
30. C. Sigli and J.M Sanchez: CALPHAD, 1984, vol. 8 (3), pp. 221-31.
31. M. Enomoto and H. Harada: Metall. Trans. A, 1989, vol 20A, pp. 649-64.
32. R. Kikuchi, J.M. Sanchez, D. De Fontaine, and H. Yamauchi: Acta Metall., 1980, vol. 28, pp. 651-62.
33. J.M. Sanchez and D. De Fontaine: Phys. Rev. B, 1980, vol. 21, pp. 216-28.
34. J.M. Sanchez and D. De Fontaine: Phys. Rev. B, 1982, vol. 25, pp. 1759-65.
35. R. Kikuchi: J. Chem. Phys., 1977, vol. 66, pp. 3352-62.
36. B. Burton and R. Kikuchi: Am. Min., 1984, vol. 69, pp. 165-75.
37. C. Colinet, G. Inden, and R. Kikuchi: Acta Metall. Mater., 1993, vol. 41 (4), 1109-18.
38. R. Kikuchi, D. de Fontaine, M. Murakami, and T. Nakamura: Acta Metall., 1977, vol. 25, pp. 207-19.
39. D. de Fontaine and C. Wolverton: Ber. Bunsenges. Phys. Chem., 1992, vol. 96 (11), pp. 1503-12.
40. R. Kikuchi: Acta Metall., 1977, vol. 25, pp. 195-205.
41. O. Kubaschewski, C.B. Alcock, and P.J. Spencer: Materials Thermochemistry, 6th ed., Pergomon Press, Oxford, United Kingdom, 1993.
42. L. Cheng, A. Böttger, T.H. de Keijser, and E.J. Mittemeijer: Scripta Metall. Mater., 1990, vol. 24, pp. 509-13.
43. O. Eisenhut and E. Kaupp: Z. Elektrochem., 1930, vol. 36 (6), pp. 392-404.
44. E. Lehrer: Z. Elektrochem., 1930, vol. 37 (7), pp. 460-73.
45. V.G. Paranjpe, M. Cohen, M.B. Bever, and C.F. Floe: Trans. AIME, 1950, vol. 188, pp. 261-67.
46. M.A.J. Somers, N.M. van der Pers, D. Schalkoord, and E.J. Mittemeijer: Metall Trans. A, 1989, vol. 20A, pp. 1533-39.
47. L. Rissanen, K.P. Lieb, M. Niederdrenk, O. Schulte, and P. Schaaf: Proc. ICAME-95, 1996, vol. 50, pp. 595-98.
48. L. Rissanen, M. Neubauer, K.P. Lieb, and P. Schaaf: J. Alloy Compounds, 1998, vol. 274, pp. 74-82.
49. M.J. van Genderen, A. Böttger, and E.J. Mittemeijer: Metall Mater. Trans. A, 1997, vol. 28A, pp. 63-77.
50. K. Oda, K. Umezu, and H. Ino: J. Phys. Cond. Mater., 1990, vol. 2, pp. 10147-58.
51. D. Atkinson and C. Bodsworth: J. Iron Steel Inst., 1970, vol. 27, pp. 587-93.
52. J. Foct, R. Rochegude, and A. Hendry: Acta Metall., 1988, vol. 36 (3), pp. 501-05.