Abstract
Interphase boundary structure developed during precipitation from solid solution and during massive transformations is considered in diverse alloy systems in the presence of differences in stacking sequence across interphase boundaries. Linear misfit compensating defects, including misfit dislocations, structural disconnections, and misfit disconnections, are present over a wide range of crystallographies when both phases have metallic bonding. Misfit dislocations have also been observed when both phases have covalent bonding (e.g., US:β US2 by Sole and van der Walt). These defects are also found when one phase is ionic and the other is metallic (Nb:Al2O3 by Rühle et al.), albeit when the latter is formed by vapor deposition. However, when bonding is metallic in one phase but significantly covalent in the other, the structure of the interphase boundary appears to depend upon the strength of the covalent bonding relative to that in the metallically bonded phase. When this difference is large, growth can take place as if it were occurring at a free surface, resulting in orientation relationships that are irrational and conjugate habit planes that are ill matched (e.g., ZrN:α Zr-N by Li et al. and Xe(solid):Al-Xe by Kishida and Yamaguchi). At lower levels of bonding directionality and strength, crystallography is again irrational, but now edge-to-edge-based low-energy structures can replace linear misfit compensating defects (γm:TiAl:α Ti-Al by Reynolds et al.). In the perhaps still smaller difference case of Widmanstätten cementite precipitated from austenite, one orientation relationship yields plates with linear misfit compensating defects at their broad faces whereas another (presumably nucleated at different types of site) produces laths with poorly defined shapes and interfacial structures. Hence, Hume-Rothery-type bonding considerations can markedly affect interphase boundary structure and thus the mechanisms, kinetics, and morphology of growth.
Similar content being viewed by others
References
M.X. Zhang and P.M. Kelly: Acta Mater., 1998, vol. 46, p. 4617.
P.M. Kelly and M.X. Zhang: Mater. Forum, 1999, vol. 23, p. 4.
J.-F. Nie and B.C. Muddle: Metall. Mater. Trans. A, 2002, vol. 33A, p. 2381.
J.M. Howe, W.T. Reynolds, Jr., and V.K. Vasudevan: Metall. Mater. Trans. A, 2004, vol. 33A, p. 2391.
T.B. Massalski: Phase Transformations, ASM International, Materials Park, OH, 1970, p. 433.
T.B. Massalski: Metall. Trans. A, 1984, vol. 15A, p. 421.
T.B. Massalski: Metall. Mater. Trans. A, 2002, vol. 33A, p. 2277.
P. Wang, D. Veeraraghavan, M. Kumar, Z. Zhang, and V.K. Vasudevan: Metall. Mater. Trans. A, 2002, vol. 33A, p. 2353.
C. Yanar, J.M.K. Wiezorek, V. Radmilovic, and W.A. Soffa: Metall. Mater. Trans. A, 2002, vol. 33A, p. 2413.
Y. Mou and H.I. Aaronson: Acta Metall. Mater., 1994, vol. 42, p. 2159.
A.D. King and T. Bell: Metall. Trans. A, 1975, vol. 6A, p. 1419.
J.K. Park and A.J. Ardell: Acta Metall., 1986, vol. 34, p. 2399.
C.S. Smith: Trans. ASM, 1953, vol. 45, p. 533.
M. Hillert: Decomposition of Austenite by Diffusional Processes, V.F. Zackay and H.I. Aaronson, eds., Interscience, New York, NY, 1962, p. 197.
L.S. Darken and R.M. Fisher: Decomposition of Austenite by Diffusional Processes, V.F. Zackay and H.I. Aaronson, eds., Interscience, New York, NY, 1962, p. 249.
D. Hamana and Z. Boumerzoug: Zeit. Metallkunde, 1994, vol. 85, p. 479.
W.G. Meng and G.J. Shiflet: Phase Transformations During Thermal/Mechanical Processing of Steel, E.B. Hawbolt and S. Yue, eds., Canadian Inst. of Mining, Metallurgy and Petroleum, Montreal, Canada, 1995, p. 121.
D.S. Zhou and G.J. Shiflet: Metall. Mater. Trans. A, 1991, vol. 22A, p. 1349.
R.W. Fonda and G.J. Shiflet: Metall. Mater. Trans. A, 2002, vol. 33A, p. 2507.
R.W. Fonda and G.J. Shiflet: Metall. Mater. Trans. A, 1998, vol. 29A, p. 2101.
M.A. Mangan and G.J. Shiflet: Scripta Mater., 1997, vol. 37, p. 517.
P.E.A. Turchi, R.D. Shull, and A. Gonis, eds., The Science of Alloys for the 21 st Century, TMS, Warrendale, PA, 2000.
C.S. Smith: Trans. AIME, 1948, vol. 175, p. 15.
R.F. Mehl and C.S. Barrett: Trans. AIME, 1931, vol. 93, p. 78.
T. Furuhara and H.I. Aaronson: Acta Metall. Mater., 1991, vol. 39, p. 2887.
T.B. Massalski: Acta Metall., 1958, vol. 6, p. 243.
H.I. Aaronson, C. Laird, and K.R. Kinsman: Scripta Metall., 1968, vol. 2, p. 259.
W.F. Lange, III, M. Enomoto, and H.I. Aaronson: Met. Trans. A, 1988, vol. 19A, p. 427.
H.A. Schwartz: Metals and Alloys, 1934, vol. 5, p. 139.
S.A. Saltykov: Stereometric Metallography, 2nd ed. [in Russian], Metallurgizdat, Moscow, 1958.
H.I. Aaronson: Decomposition of Austenite by Diffusional Processes, V.F. Zackay and H.I. Aaronson, eds., Interscience, New York, NY, 1962, p. 387.
T. Furuhara, T. Ogawa, and T. Maki: Scripta Mater., 1996, vol. 34, p. 381.
T. Furuhara and T. Maki: Mater. Trans. JIM, 1992, vol. 33, p. 734.
P. Wang, G.B. Viswanathan, and V.K. Vasudevan: Metall. Trans. A, 1992, vol. 23A, p. 690.
P. Wang, M. Kumar, and V.K. Vasudevan: Philos. Mag. A, 2000, vol. 80, p. 185.
J.F. Nie, B.C. Muddle, T. Furuhara, and H.I. Aaronson: Scripta Mater., 1998, vol. 39, p. 637.
T. Nagano and M. Enomoto: Metall. Mater. Trans. A, this issue.
W.T. Reynolds, Jr., J.F. Nie, W.-Z. Zhang, J.M. Howe, H.I. Aaronson, and G.R. Purdy: Scripta Mater., 2003, vol. 49, p. 405.
H.I. Aaronson and V.K. Vasudevan: Metall. Mater. Trans. A, 2002, vol. 23A, p. 2445.
H.I. Aaronson and K.C. Russell: Proceedings of an International Conference on Solid → Solid Phase Transformations, TMS-AIME, Warrendale, PA, 1982, p. 371.
H.I. Aaronson and F.K. LeGoues: Metall. Mater. Trans. A, 1992, vol. 23A, p. 1915.
S.E. Offerman, N.H. van Dijk, J. Sietsma, S. Grigull, E.M. Lauridsen, L. Margulies, H.F. Poulsen, M. Tekveldt, and S. van der Zwaag: Science, 2002, vol. 298, p. 1003.
H.I. Aaronson, W.F. Lange, III, and G.R. Purdy: Scripta Mater., 2004, vol. 51, p. 931.
H.I. Aaronson: Metall. Mater. Trans. A, 2002, vol. 33A, p. 2285.
H.I. Aaronson and K.R. Kinsman: Acta Metall., 1977, vol. 25, p. 367.
M.R. Plichta, H.I. Aaronson, and J.H. Perepezko: Acta Metall., 1978, vol. 26, p. 1293.
M. Hillert: Metall. Mater. Trans. A, 2004, vol. 35A, p. 351.
J.H. Perepezko and T.B. Massalski: Scripta Mater., 1972, vol. 6, p. 743.
J.M. Howe, H.I. Aaronson, and J.P. Hirth: Acta Mater., 2000, vol. 48, p. 3977.
A.P. Sutton and R.W. Balluffi: Interfaces in Crystalline Materials, Clarendon Press, Oxford, U.K., 1996.
U. Dahmen: Scripta Metall, 1987, vol. 21, p. 1029.
F.C. Frank and J.H. van der Merwe: Proc. Royal Soc., 1949, vol. A198, p. 205.
F.C. Frank and J.H. van der Merwe: Proc. Royal Soc., 1949, vol. A198, p. 216.
J.G. Shiflet and A.W. Jesser: Metall. Mater. Trans. A, 2002, vol. 33A, p. 2471.
J.A. Hren and G. Thomas: Trans. TMS-AIME, 1963, vol. 227, p. 308.
C. Laird and H.I. Aaronson: Acta Metall., 1967, vol. 15, p. 73.
J.M. Howe, H.I. Aaronson, and R. Gronsky: Acta Metall., 1985, vol. 33, pp. 639–49.
K.R. Kinsman, H.I. Aaronson, and E. Eichen: Metall. Trans, 1971, vol. 2, p. 1041.
G.V. Kurdjumow and G. Sachs: Zeit. Physik, 1930, vol. 64, p. 325.
Z. Nishiyama: Sci. Rep. Tohoku Univ, 1934, vol. 23, p. 638.
G. Wassermann: Arch. Eisenhüttenwesen, 1933, vol. 16, p. 647.
G.V. Smith and R.F. Mehl: Trans. AIME, 1942, vol. 150, p. 211.
M.G. Hall, H.I. Aaronson, and K.R. Kinsman: Surf. Sci., 1972, vol. 31, p. 257.
M.G. Hall, J.M. Rigsbee, and H.I. Aaronson: Acta Metall., 1986, vol. 34, p. 1419.
W.G. Burgers: Phys., 1934, vol. 1, p. 561.
D.I. Potter: Jnl. Less Common Metals, 1973, vol. 31, p. 299.
M.G. Hall, T. Furuhara, H.I. Aaronson, and J.P. Hirth: Acta Mater., 2001, vol. 49, p. 3487.
T. Furuhara, J.M. Howe, and H.I. Aaronson: Metall. Mater. Trans. A, 1991, vol. 39, p. 2873.
Y. Mou and H.I. Aaronson: Acta Metall. Mater, 1994, vol. 42, p. 2133.
H.I. Aaronson, C. Laird, and K.R. Kinsman: Phase Transformations, ASM, Metals Park, OH, 1970, p. 313.
K.C. Russell, M.G. Hall, K.R. Kinsman, and H.I. Aaronson: Metall. Trans, 1974, vol. 5, p. 1503.
J.M. Rigsbee and H.I. Aaronson: Acta Metall., 1979, vol. 27, pp. 351–65.
G.J. Shiflet and J.H. van der Merwe: Metall. Mater. Trans. A, 1994, vol. 25A, p. 1895.
J.P. Hirth: Phys. Chem. Solids, 1994, vol. 55, p. 985.
J.P. Hirth and R.C. Pond: Acta Metall. Mater, 1996, vol. 44, p. 4749.
H.I. Aaronson, J.M. Howe, M.G. Hall, T. Furuhara, and J.P. Hirth: Scripta Mater., 1997, vol. 37, p. 1301.
H.I. Aaronson: Scripta Metall., 1980, vol. 14, p. 825.
T. Furuhara: unpublished research, Carnegie Mellon Univ., Pittsburgh, PA, 1989.
T. Furuhara: Kyoto University, Kyoto, Japan, private communication, 1992.
J.W. Cahn: Acta Metall., 1960, vol. 8, p. 554.
J.W. Gibbs: The Scientific Papers of J. Willard Gibbs, Volume 1: Thermodynamics, Dover Publications, New York, NY, 1961, p. 325.
M.F. Ashby and L.M. Brown: Philos. Mag., 1963, vol. 8, p. 1083.
A.W. Wilson: Ph.D. Thesis, University of Virginia, Charlottesville, VA, 1999.
H.I. Aaronson: The Mechanism of Phase Transformations in Metals, Institute of Metals, London, 1956, p. 47.
M.R. Plichta and H.I. Aaronson: Acta Metall., 1980, vol. 28, p. 1041.
M. Enomoto and H.I. Aaronson: Metall. Trans. A, 1986, vol. 17A, p. 1385.
T. Tanaka, H.I. Aaronson, and M. Enomoto: Metall. Mater. Trans. A, 1995, vol. 26A, p. 547.
E.S.K. Menon and H.I. Aaronson: Metall. Trans. A, 1986, vol. 17, p. 1703.
M.R. Plichta, J.H. Perepezko, H.I. Aaronson, and W.F. Lange, III: Acta Metall., 1980, vol. 28, p. 1031.
J.K. Lee and H.I. Aaronson: Acta Metall., 1975, vol. 23, p. 799.
J.K. Lee and H.I. Aaronson: Acta Metall., 1975, vol. 23, p. 809.
G.J. Shiflet: Metall. Mater. Trans. A, this issue.
H.I. Aaronson, W.B. Triplett, and G.M. Andes: Trans. AIME, 1960, vol. 218, p. 331.
H.I. Aaronson: J. Microscopy, 1974, vol. 102, p. 275.
J.M. Howe: Metall. Mater. Trans. A, 2002, vol. 33A, p. 2457.
G.S. Rohrer: Structure and Bonding in Crystalline Materials, Cambridge University Press, New York, NY, 2001.
John Gilman: Electronic Basis of the Strength of Materials, Cambridge University Press, Cambridge, U.K., 2003.
J.J. Gilman: Science, 1993, vol. 261, p. 1436.
L. Pauling: The Nature of the Chemical Bond, Cornell University Press, Ithaca, NY, 1960.
J.A.A. Ketelaar: Chemical Constitution, Elsevier Publishing Company, Amsterdam, Netherlands, 1953.
C. Laird and H.I. Aaronson: Trans. AIME, 1968, vol. 242, p. 1393.
R. Sankaran and C. Laird: Philos. Mag., 1974, vol. 29, p. 179.
J.L. Whitton: J. Nucl. Mater., 1964, vol. 12, p. 115.
M.J. Sole and C.M. van der Walt: Acta Mater., 1968, vol. 16, p. 671.
M.J. Sole and C.M. van der Walt: Acta Mater., 1968, vol. 16, p. 667.
G. Gutekunst, J. Mayer, V. Vitek, and M. Rühle: Philos. Mag. A, 1997, vol. 75, p. 1357.
K. Kishida and Y.M. Yamaguchi: Philos. Mag. A, 1991, vol. 75, p. 1447.
F.C. Frank: Acta Metall., 1953, vol. 1, p. 15.
W.-Z. Zhang and G.R. Purdy: Philos. Mag. A, 1993, vol. 68, p. 279.
J.-F. Nie: private communication, Monash University, Victoria, 3800, Australia, 2004.
H.I. Aaronson and W.T. Reynolds, Jr.: Metall. Mater. Trans. A, this issue.
P. Li, J.M. Howe, and W.T. Reynolds, Jr.: Acta Mater., 2004, vol. 52, p. 239.
W. Pitsch: Acta Metall., 1962, vol. 10, p. 897.
E.C. Bain: Trans. AIME, 1924, vol. 70, p. 25.
R.G. Baker and J. Nutting: Iron and Steel Inst. Spec. Rep. No. 64, 1959, p. 1.
J.M. Howe, H.I. Aaronson, and R. Gronsky: Acta Metall., 1985, vol. 33, p. 649.
J.E. Wittig: Metall. Mater. Trans. A, 2002, vol. 33A, p. 2373.
S.R. Singh and J.M. Howe: Philos. Mag. A, 1992, vol. 66, p. 739.
Q. Liang and W.T. Reynolds, Jr.: Metall. Mater. Trans. A, 1998, vol. 29A, p. 2059.
W.T. Reynolds, Jr., J.-F. Nie, W.-Z. Zhang, J.M. Howe, H.I. Aaronson, and G.R. Purdy: unpublished research, Virginia Tech, Blacksburg, VA, 2003.
W.T. Reynolds, Jr.: unpublished research, Virginia Tech, Blacksburg, VA, 2003.
W.T. Reynolds, Jr. and D. Farkas: Metall. Mater. Trans. A, this issue.
J.-F. Nie: Acta Mater., 2004, vol. 52, p. 795.
L. Fu and M.H. Yoo: Philos. Mag. Lett., 1990, vol. 62, p. 159.
E. Wimmer, H. Krakauer, M. Weinert, and A.J. Freeman: Phys. Rev. B: Condens. Matter Mater. Phys., 1981, vol. 24, p. 864.
R. Siegl, V. Vitek, H. Inui, K. Kishida, and M. Yamaguchi: Philos. Mag. A, 1997, vol. 75, p. 1447.
M.W. Finnis and J.E. Sinclair: Philos. Mag. A, 1984, vol. 50, p. 45.
M.S. Daw and M.I. Baskes: Phys. Rev. B: Condens. Matter Mater. Phys., 1984, vol. 29, p. 45.
M.V. Kral and G. Spanos: Scripta Mater., 1997, vol. 369, p. 875.
M.V. Kral and G. Spanos: Acta Mater., 1999, vol. 47, p. 711.
R.F. Mehl, C.S. Barrett, and D.W. Smith: Trans. AIME, 1933, vol. 105, p. 215.
A.B. Greninger and A.R. Troiano: Trans. AIME, 1940, vol. 140, p. 307.
R.W. Heckel, J.H. Smith, and H.W. Paxton: Trans. AIME, 1960, vol. 218, p. 566.
G. Spanos and H.I. Aaronson: Scripta Metall., 1988, vol. 22, p. 1537.
G. Spanos and H.I. Aaronson: Acta Metall. Mater., 1990, vol. 38, p. 2721.
J.M. Howe and G. Spanos: Philos. Mag. A, 1999, vol. 79, p. 9.
M. Farooque and D.V. Edmonds: Proc. XIIth Intl. Congress For Electron Microscopy, San Francisco, CA, 1990, p. 910.
G. Spanos and M.V. Kral: Austenite Formation and Decomposition, E.B. Damm and M.J. Merwin, eds., ISS and TMS, Warrendale, PA, 2003, p. 415.
R.W. Fonda, M.V. Kral, and W.T. Reynolds, Jr.: Austenite Formation and Decomposition, E.B. Damm and M.J. Merwin, eds., ISS and TMS, Warrendale, PA, 2003, p. 425.
R.W. Heckel and H.W. Paxton: Trans. AIME, 1960, vol. 218, p. 799.
M.V. Kral and G. Spanos: Private communication, Naval Research Laboratory, Washington, DC, 2004.
N.J. Petch: J. Iron Steel Inst., 1944, vol. 149, p. 143P.
M.I. Baskes, G.R. Srinivasan, and S. Rudin: Metall. Mater. Trans. A, this issue.
E. Zuzek, J.P. Abriata, A. San-Martin, and F.D. Manchester: Binary Alloy Phase Diagrams, 2nd ed., ASM, Materials Park, OH, 1990, vol. 2, p. 2078.
R.A. Swalin: Thermodynamics of Solids, John Wiley, New York, NY, 1962, p. 194.
T.B. Massalski, ed.: Binary Alloy Phase Diagrams, 2nd ed., ASM, Materials Park, OH, 1990.
X.D. Zhang, F. Godfrey, M. Weaver, M. Strangwood, P. Threadgill, M.J. Kaufman, and M.H. Loretto: Acta Mater., 1996, vol. 44, p. 3723.
D. Veeraraghavan, P. Wang, and V.K. Vasudevan: Acta Mater., 2003, vol. 51, p. 1721.
J.W. Christian: The Theory of Transformations in Metals and Alloys. Part I Equilibrium and General Kinetic Theory, 2nd ed., Pergamon Press, Oxford, 1975, p. 15.
J.W. Cahn and W.C. Hagel: Decomposition of Austenite by Diffusional Processes, Interscience, New York, NY, 1962, p. 131
J.W. Cahn and J.E. Hilliard: Inl. Chem. Phys, 1959, vol. 31, p. 688.
R.B. Nicholson: Phase Transformations, ASM, Materials Park, OH, 1970, p. 269.
J.P. Hirth and J. Lothe: Theory of Dislocations, 2nd ed., John Wiley, New York, 1982, p. 357.
P. Wang, M. Jumar, D. Veeraraghavan, and V.K. Vasudevan: Acta Mater., 1997, vol. 46, p. 13.
M. Enomoto and J.P. Hirth: Metall. Mater. Trans. A, 1996, vol. 27A, p. 1491.
B.A. Bilby and J.W. Christian: The Mechanism of Phase Transformations in Metals, Institute of Metals, London, 1956, p. 121.
T. Ko and A.H. Cottrell: J. Iron Steel Inst, 1952, vol. 172, p. 307.
J.E. Angelo and M.I. Baskes: Interface Sci., 1996, vol. 4 (3–4), p. 369.
Author information
Authors and Affiliations
Additional information
This article is based on a presentation made in the “Hume-Rothery Symposium on Structure and Diffusional Growth Mechanisms of Irrational Interphase Boundaries,” which occured during the TMS Winter meeting, March 15–17, 2004, in Charlotte, NC, under the auspices of the TMS Alloy Phases Committee and the co-sponsorship of the TMS-ASM Phase Transformations Committee.
Rights and permissions
About this article
Cite this article
Aaronson, H.I. Influence of crystallography and bonding on the structure and migration of irrational interphase boundaries. Metall Mater Trans A 37, 803–823 (2006). https://doi.org/10.1007/s11661-006-0054-6
Issue Date:
DOI: https://doi.org/10.1007/s11661-006-0054-6