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Competing Interactions and Microstructures: Statics and Dynamics pp 30–49Cite as

Some Problems for Physicists in First Order Diffusional Phase Transformations in Crystalline Solids

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Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 27))

Abstract

Although the homogeneous nucleation kinetics of precipitates formed during first order diffusional phase transformations now appear to be well understood when the precipitate has the same crystal structure and orientation as the matrix, analysis of homogeneous nucleation involving a significant change in crystal structure has just begun. The core problem is evaluation of the chemical interfacial energy as a function of boundary orientation with a fixed lattice orientation relationship for coherent interphase boundaries. Quantitative understanding of nucleation at dislocations requires analysis of strain energy interactions between faceted nuclei and the dislocations, using anisotropic, inhomogeneous elasticity theory. Diffusional growth of precipitates whose crystal structure differs from that of their matrix can be qualitatively understood in terms of interphase boundaries which have a partially coherent structure. These boundaries are immobile in the direction normal to themselves and can migrate only by means of the ledge mechanism. Theory of the origin of ledges, and also of kinks on the risers of ledges, is the main gap to be filled in order to place this approach to diffusional growth on a quantitative basis. Theory of morphological instability and of growth of the unstable products at the point of instability appears applicable in the large to precipitation from solid solution but must be reworked in terms of the ledge mechanism in order to make such applications more realistic.

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References

  1. J. W. Gibbs: Collected Works, Vol. 1 (Yale University Press, New Haven, CT 1948).

    MATH  Google Scholar 

  2. B. E. Sundquist and R. A. Oriani: Jnl. Chem. Phys. 36, 2604 (1962).

    Article  ADS  Google Scholar 

  3. R. B. Heady and J. W. Cahn: Jnl. Chem. Phys. 58, 896 (1973).

    Article  ADS  Google Scholar 

  4. R. G. Howland, N. C. Wong and C. M. Knobler: Jnl. Chem. Phys. 73, 522 (1980).

    Article  ADS  Google Scholar 

  5. A. J. Schwartz, S. Krishnamurthy and W. I. Goldburg: Phys. Rev. A21, 1331 (1980).

    ADS  Google Scholar 

  6. J. S. Huang, W. I. Goldburg and M. R. Moldover, Phys. Rev. Lett. 34, 639 (1975).

    Article  ADS  Google Scholar 

  7. K. Binder and D. Stauffer: Advances in Physics 25, 343 (1976).

    Article  ADS  Google Scholar 

  8. J. S. Langer and A. J. Schwartz: Phys. Rev. A21, 948 (1980).

    MathSciNet  ADS  Google Scholar 

  9. D. H. Kirkwood: Acta Met. 18, 563 (1970).

    Article  Google Scholar 

  10. A. W. West and D. H. Kirkwood: Scripta Met. 10, 681 (1976).

    Article  Google Scholar 

  11. T. Hirata and D. H. Kirkwood: Acta Met. 25, 1425 (1977).

    Article  Google Scholar 

  12. I. Servi and D. Turnbull: Acta Met. 14, 161 (1966).

    Article  Google Scholar 

  13. F. K. LeGoues and H. I. Aaronson: Acta Met. 32, 1855 (1984).

    Article  Google Scholar 

  14. Y. W. Lee and H. I. Aaronson: Acta Met. 28, 539 (1980).

    Article  Google Scholar 

  15. F. J. LeGoues, H. I. Aaronson, Y. W. Lee and G. J. Fix: In Proceedings of an International Conference on Solid-Solid Phase Transformations (TMS-AIME, Warrendale, PA 1983) p. 427.

    Google Scholar 

  16. J. W. Cahn and J. E. Milliard: Jnl. Chem. Phys. 31, 688 (1959).

    Article  ADS  Google Scholar 

  17. H. E. Cook, D. De Fontaine and J. E. Hilliard: Acta Met. 17, 765 (1969).

    Article  Google Scholar 

  18. H. E. Cook and D. De Fontaine: Acta Met. 17, 915 (1969).

    Article  Google Scholar 

  19. H. E. Cook and D. De Fontaine: Acta Met. 19, 607 (1971).

    Article  Google Scholar 

  20. F. K. LeGoues, Y. W. Lee and H. I. Aaronson: Acta Met. 32, 1837 (1984).

    Article  Google Scholar 

  21. F. K. LeGoues, H. I. Aaronson and Y. W. Lee: Acta Met. 32, 1845 (1984).

    Article  Google Scholar 

  22. R. V. Ramanujan: Ph.D. thesis research in progress, Carnegie-Mellon Univ. (1987).

    Google Scholar 

  23. H. I. Aaronson and K. C. Russell: Proceedings of an International Conference on Solid-Solid Phase Transformations (TMS-AIME, Warrendale, PA 1983) p. 371.

    Google Scholar 

  24. J. H. Van der Merwe: Jnl. App. Phys. J5, 73 (1967).

    Google Scholar 

  25. H. I. Aaronson, C. Laird and K. R. Kinsman: In Phase Transformations (ASM, Metals Park, OH 1970) p. 313.

    Google Scholar 

  26. H. I. Aaronson: Jnl. of Microscopy 102, 275 (1974).

    Article  Google Scholar 

  27. R. V. Ramanujan, J. K. Lee, F. K. LeGoues and H. I. Aaronson: to be submitted to Acta Met.

    Google Scholar 

  28. C. Laird and H. I. Aaronson: Acta Met. J5, 73 (1967).

    Article  Google Scholar 

  29. R. Cadoret: Phys. Stat. Solidi (B) 46, 291 (1971).

    Article  ADS  Google Scholar 

  30. J. D. Eshelby: Prog. Sol. Mech. 2, 88 (1961).

    Google Scholar 

  31. J. K. Lee, D. M. Barnett and H. I. Aaronson: Met. Trans. 8A, 963 (1977).

    Google Scholar 

  32. J. W. Cahn: Acta Met. 5, 169 (1957).

    Article  Google Scholar 

  33. D. M. Barnett: Scripta Met. 5, 261 (1971).

    Article  Google Scholar 

  34. C. C. Dollins: Acta Met. 18, 1209 (1970).

    Article  Google Scholar 

  35. F. S. Ham: Jnl. App. Phys. 30, 915 (1959).

    Article  ADS  Google Scholar 

  36. F. Montheillet and J. M. Haudin: Phys. Stat. Sol. 154, 271 (1979).

    Article  ADS  Google Scholar 

  37. F. C. Larche: In Dislocations in Solids (North Holland, Amsterdam 1979) p. 137.

    Google Scholar 

  38. R. Gomez-Ramirez and G. M. Pound: Met. Trans. 4A, 1563 (1973).

    Google Scholar 

  39. W. F. Lange III, M. Enomoto and H. I. Aaronson: Met. Trans., in press.

    Google Scholar 

  40. M. R. Plichta, J. H. Perepezko, H. I. Aaronson and W. F. Lange III: Acta Met. 28, 1031 (1980).

    Article  Google Scholar 

  41. G. Thomas and J. Nutting: In The Mechanism of Phase Transformations in Metals (Institute of Metals, London 1956) p. 57.

    Google Scholar 

  42. H. B. Aaron and H. I. Aaronson: Met. Trans. 2, 23 (1971).

    Article  Google Scholar 

  43. E. Hornbogen and M. Roth: Zeit. Metallkunde 58, 842 (1967).

    Google Scholar 

  44. D. M. Barnett: Stanford Univ., private communication.

    Google Scholar 

  45. R. C. Pond, D. A. Smith and V. Vitek: Scripta Met. 12, 699 (1978).

    Article  Google Scholar 

  46. M. F. Ashby and F. Spaepen: Scripta Met. 12, 193 (1978).

    Article  Google Scholar 

  47. A. G. Walton: Jnl. Chem. Phys. 39, 3162 (1963).

    Article  ADS  Google Scholar 

  48. A. G. Walton and D. R. Whitman: Jnl. Chem. Phys. 40, 2722 (1964).

    Article  ADS  Google Scholar 

  49. R. A. Oriani and B. E. Sundquist: Jnl. Chem. Phys. 38, 2082 (1963).

    Article  ADS  Google Scholar 

  50. R. C. Tolman: Jnl. Chem. Phys. 16, 758 (1948).

    Article  ADS  Google Scholar 

  51. R. C. Tolman: Jnl. Chem. Phys. 17, 333 (1949).

    Article  ADS  Google Scholar 

  52. J. G. Kirkwood and F. P. Buff: Jnl. Chem. Phys. 17, 338 (1949).

    Article  ADS  Google Scholar 

  53. J. G. Kirkwood and F. P. Buff: Jnl. Chem. Phys. 18, 991 (1950).

    Article  ADS  Google Scholar 

  54. G. C. Benson and E. A. Flood: In The Solid-Gas Interface (Marcel Dekker, New York 1967) p. 243.

    Google Scholar 

  55. I. W. Plesner: Jnl. Chem. Phys. 40, 1510 (1964).

    Article  ADS  Google Scholar 

  56. W. F. Egelhoff, Jr. and G. G. Tibbetts: Phys. Rev. B19, 5028 (1979).

    ADS  Google Scholar 

  57. H. I. Aaronson: In Decomposition of Austenite by Diffusional Processes (Interscience, NY 1962) p. 387.

    Google Scholar 

  58. K. R. Kinsman and H. I. Aaronson: In Transformation and Hardenability in Steels (Climax Molybdenum Co., Ann Arbor, Ml 1967) p. 39.

    Google Scholar 

  59. H. I. Aaronson: In The Mechanism of Phase Transformations in Crystalline Solids (Institute of Metals, London 1969) p. 270.

    Google Scholar 

  60. H. B. Aaron and H. I. Aaronson: Acta Met. 16, 789 (1968).

    Article  Google Scholar 

  61. A. D. Brailsford and H. B. Aaron: Jni. App. Phys. 40, 1702 (1969).

    Article  ADS  Google Scholar 

  62. J. W. Cahn, W. B. Hillig and G. W. Sears: Acta Met. 12, 1421 (1964).

    Article  Google Scholar 

  63. G. J. Jones and R. Trivedi: Jnl. App. Phys. 42, 4299 (1971).

    Article  ADS  Google Scholar 

  64. M. Enomoto: Acta Met. 35, 935 (1987).

    Article  Google Scholar 

  65. M. Enomoto: Acta Met. 35, 947 (1987).

    Article  Google Scholar 

  66. H. I. Aaronson: Trans. Indian Inst. Metals 32, 1 (1979).

    Google Scholar 

  67. J. M. Howe, H. I. Aaronson and R. Gronsky: Acta Met. 33, 649 (1985).

    Article  Google Scholar 

  68. K. R. Kinsman, E. Eichen and H. I. Aaronson: Met. Trans. 6A, 303 (1975).

    Google Scholar 

  69. P. R. Howell and R. W. K. Honeycombe: In Proceedings of an International Conference on Solid-Solid Phase Transformations (TMS-AIME, Warrendale, PA (1983)) p. 399.

    Google Scholar 

  70. J. M. Howe, U. Dahmen and R. Gronsky: Phil. Mag., in press.

    Google Scholar 

  71. R. Sankaran and C. Laird: Acta Met. 22, 957 (1974).

    Article  Google Scholar 

  72. C. Laird and H. I. Aaronson: Acta Met. 17, 505 (1969).

    Article  Google Scholar 

  73. C. Laird and H. I. Aaronson: Jnl. Inst. Metals 96, 222 (1968).

    Google Scholar 

  74. G. C. Weatherly: Acta Met. 19, 181 (1971).

    Article  Google Scholar 

  75. G. J. Jones and R. Trivedi: Jnl. Crystal Growth: 29, 155 (1975).

    Article  ADS  Google Scholar 

  76. C. Atkinson: Proc. Roy. Soc. A378, 351 (1981).

    ADS  Google Scholar 

  77. C. Atkinson: A384, 167 (1982).

    Google Scholar 

  78. M. Enomoto, H. I. Aaronson, J. Avila and C. Atkinson: Proceedings of an International Conference on Solid-Solid Phase Transformations (TMS-AIME, Warrendale, PA 1983) p. 567.

    Google Scholar 

  79. T. Heumann and S. Dittrich: Zeit. Elektrochem. 61, 1138 (1957).

    Google Scholar 

  80. S. A. Hackney and G. J. Shiflet: Scripta Met. 19, 757 (1985).

    Article  Google Scholar 

  81. S. A. Hackney and G. J. Shiflet: Acta Met. 35, 1007 (1987).

    Article  Google Scholar 

  82. S. A. Hackney and G. J. Shiflet: Acta Met. 35, 1019 (1987).

    Article  Google Scholar 

  83. C. Wagner: J. Electrochem. Soc. 99, 369 (1952).

    Article  Google Scholar 

  84. W. W. Mullins and R. F. Sekerka: Jnl. App. Phys. 34, 323 (1963).

    Article  ADS  Google Scholar 

  85. W. W. Mullins and R. F. Sekerka: Jnl. App. Phys. 35, 444 (1964).

    Article  ADS  Google Scholar 

  86. V. V. Voronkov: Sov. Phys. Sol. State 6, 2378 (1965).

    Google Scholar 

  87. R. F. Sekerka: In Encyclopedia of Materials Science and Engineering (Pergamon Press, New York 1986) p. 3486.

    Google Scholar 

  88. C. A. Dube, H. I. Aaronson and R. F. Mehl: Rev. de Met. 55, 201 (1958).

    Google Scholar 

  89. R. D. Townsend and J. S. Kirkaldy: Trans. ASM 61, 605 (1968).

    Google Scholar 

  90. P. Krahe, K. R. Kinsman and H. I. Aaronson: Acta Met. 20, 1109 (1972).

    Article  Google Scholar 

  91. T. Furuhara, A. M. Dalley and H. I. Aaronson: unpublished research, Carnegie-Mellon University (1987).

    Google Scholar 

  92. M. Hillert: unpublished research, reproduced in L. Kaufman, S. V. Radcliffe and M. Cohen: Decomposition of Austenite by Diffusional Processes (Interscience, NY 1962) p. 313.

    Google Scholar 

  93. R. F. Hehemann: In Phase Transformations (ASM, Metals Park, OH 1970) p. 397.

    Google Scholar 

  94. E. P. Simonen and R. Trivedi: Report to U.S.A.E.C., Iowa State Univ., Ames, IA (Aug., 1972).

    Google Scholar 

  95. E. P. Simonen, H. I. Aaronson and R. Trivedi: Met. Trans. 4, 1239 (1973).

    Article  Google Scholar 

  96. R. F. Mehl and W. C. Hagel: Prog. in Met. Phys. 6, 74 (1956).

    Article  ADS  Google Scholar 

  97. C. Laird and H. I. Aaronson: Trans. TMS-AIME 242, 1393 (1968).

    Google Scholar 

  98. H. J. Lee and H. I. Aaronson: Jnl. Mat. Sci., in press.

    Google Scholar 

  99. K. Chattopadhyay and H. I. Aaronson: Acta Met. 34, 695 (1968).

    Article  Google Scholar 

  100. J. W. Cahn and W. C. Hagel: In Decomposition of Austenite by Diffusional Processes (Interscience, NY 1962) p. 131.

    Google Scholar 

  101. C. Zener: Trans. AIME, 167, 550 (1946).

    Google Scholar 

  102. J. S. Kirkaldy: In Decomposition of Austenite by Diffusional Processes (Interscience, NY 1962) p. 29.

    Google Scholar 

  103. J. W. Cahn and W. W. Mullins: In Decomposition of Austenite by Diffusional Processes (Interscience, NY 1962) p. 123.

    Google Scholar 

  104. J. S. Langer: Rev. Mod. Phys. 52, 1 (1980).

    Article  ADS  Google Scholar 

  105. R. F. Sekerka: In Phase Transformations and Material Instabilities in Solids (Academic Press, NY 1984) p. 147.

    Google Scholar 

  106. M. E. Glicksman, R. J. Schaefer and J. D. Ayres: Met. Trans. 7A, 1747 (1976).

    Google Scholar 

  107. J. S. Langer, R. F. Sekerka and T. Fujioka: Jnl. Crystal Growth 44, 414 (1978).

    Article  ADS  Google Scholar 

  108. R. Trivedi: In Proceedings of an International Conference on Solid-Solid Phase Transformations (TMS-AIME, Warrendale, PA 1983) p. 477.

    Google Scholar 

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  1. Department of Metallurgical Engineering and Materials Science, Carnegie-Mellon University, 15213, Pittsburgh, PA, USA

    H. I. Aaronson & R. V. Ramanujan

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  1. H. I. Aaronson
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  1. Los Alamos National Laboratory, 87545, Los Alamos, NM, USA

    Richard LeSar , Alan Bishop  & Robert Heffner ,  & 

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Aaronson, H.I., Ramanujan, R.V. (1988). Some Problems for Physicists in First Order Diffusional Phase Transformations in Crystalline Solids. In: LeSar, R., Bishop, A., Heffner, R. (eds) Competing Interactions and Microstructures: Statics and Dynamics. Springer Proceedings in Physics, vol 27. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-73498-4_3

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