Abstract
The current status of our understanding of nonequilibrium interface kinetics during solidification is reviewed. Measurements of solute trapping and kinetic interfacial undercooling during rapid alloy solidification are accounted for by the continuous growth model (CGM) without solute drag. Disorder trapping has been predicted and observed in the rapid solidification of ordered intermetallic compounds. In systems that undergo either solute or disorder trapping, a transition from short-range diffusion-limited to collision-limited growth occurs, which originates in the reduced driving free energy for the formation of such metastable materials, resulting in three orders of magnitude change in the interface mobility. Applications to cellular and dendritic growth are discussed. A correlation is presented for estimating the diffusive speed—the growth rate necessary for substantial solute trapping—for alloy systems in which it has not, or cannot, be measured. The raw data for Si(Bi) solute trapping measurements to which many models have been compared are presented in the Appendix.
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J.C. Baker and J.W. Cahn:Acta Metall., 1969, vol. 17, p. 575.
J.C. Baker and J.W. Cahn:Solidification, ASM, Metals Park, OH, 1970, p. 23.
P.M. Smith and M.J. Aziz:Acta Metall. Mater., 1994, vol. 42, p. 3515.
R. Reitano, P.M. Smith, and M.J. Aziz:J. Appl. Phys., 1994, vol. 76, p. 1518.
M.O. Thompson, J.W. Mayer, A.G. Cullis, H.C. Webber, N.G. Chew, J.M. Poate, and D.C. Jacobson:Phys. Rev. Lett., 1983, vol. 50, p. 896.
C.A. MacDonald, A.M. Malvezzi, and F. Spaepen:J. Appl. Phys., 1989, vol. 65, p. 129.
S.U. Campisano, G. Foti, P. Baeri, M.G. Grimaldi, and E. Rimini:Appl. Phys. Lett., 1980, vol. 37, p. 719.
J.Y. Tsao, S.T. Picraux, P.S. Peercy, and M.O. Thompson:Appl. Phys. Lett., 1986, vol. 48, p. 278.
H.A. Atwater, J.A. West, P.M. Smith, M.J. Aziz, J.Y. Tsao, P.S. Peercy, and M.O. Thompson:Mater. Res. Soc. Symp. Proc, 1990, vol. 157, p. 369.
M.J. Aziz, J.Y. Tsao, M.O. Thompson, P.S. Peercy, and C.W. White:Phys. Rev. Lett., 1986, vol. 56, p. 2489.
M.J. Aziz and T. Kaplan:Acta Metall., 1988, vol. 36, p. 2335.
V.V. Voronkov and A.A. Chernov:Sov. Phys. Crystallogr., 1967, vol. 12, p. 186.
A.A. Chernov:Sov. Phys. JETP, 1968, vol. 26, p. 1182.
A.A. Chernov:Sov. Phys. Uspekhi, 1970, vol. 13, p. 101.
M.J. Aziz, J.Y. Tsao, M.O. Thompson, P.S. Peercy, C.W. White, and W.H. Christie:Mater. Res. Soc. Symp. Proc., 1985, vol. 35, p. 153.
M.J. Aziz and C.W. White:Phys. Rev. Lett, 1986, vol. 57, p. 2675.
L.M. Goldman and M.J. Aziz:J. Mater. Res., 1987, vol. 2, p. 524.
D.E. Hoglund, M.J. Aziz, S.R. Stiffler, M.O. Thompson, J.Y. Tsao, and P.S. Peercy:J. Cryst. Growth, 1991, vol. 109, p. 107.
D.P. Brunco, M.O. Thompson, D.E. Hoglund, M.J. Aziz, and H.-J. Gossmann:J. Appl. Phys. 1995, vol. 78, p. 2575.
J.A. Kittl, M.J. Aziz, D.P. Brunco, and M.O. Thompson:J. Cryst. Growth, 1995, vol. 148, p. 172.
S.J. Cook and P. Clancy:J. Chem. Phys., 1993, vol. 99, p. 2175.
Q. Yu, M.O. Thompson, and P. Clancy:Phys. Rev. B, in press (1996).
T.F. Ciszek:J. Cryst Growth, 1971, vol. 10, p. 263.
D.M. Zehner, C.W. White, and G.W. Ownby:Surf. Sci., 1980, vol. 92, p. L67.
M. Enomoto and H.I. Aaronson:Scripta Metall., 1989, vol. 23, p. 1983.
W.J. Boettinger: inRapidly Solidified Amorphous and Crystalline Alloys, B.H. Kear and B.C. Giessen, eds., Elsevier/North-Holland, New York, NY, 1982.
W.J. Boettinger and M.J. Aziz:Acta Metall., 1989, vol. 37, p. 3379.
J.A. West, J.T. Manos, and M.J. Aziz:Mater. Res. Soc. Symp. Proc., 1991, vol. 213, p. 859.
W.J. Boettinger, L.A. Bendersky, J.A. West, M.J. Aziz, and J. Cline:Mater. Sci. Eng., 1991, vol. A133, p. 592.
J.A. West: Ph.D. Thesis, Harvard University, Cambridge, MA, 1993.
T. Kaplan, M.J. Aziz, and L.J. Gray:J. Chem. Phys., 1989, vol. 90, p. 1133.
T. Kaplan, M.J. Aziz, and L.J. Gray:J. Chem. Phys., 1993, vol. 99, p. 8031.
J.A. Kittl, M.J. Aziz, D.P. Brunco, and M.O. Thompson:Appl. Phys. Lett., 1994, vol. 64, p. 2359.
D.P. Brunco, J.A. Kittl, C.E. Otis, P.M. Goodwin, M.O. Thompson, and M.J. Aziz:Rev. Sci. Instrum., 1993, vol. 64, p. 2615.
J.W. Cahn:Acta Metall., 1962, vol. 10, p. 789.
P. Gordon and R.A. Vandermeer: inRecrystallization, Grain Growth and Textures, ASM, Metals Park, OH, 1966, p. 205.
J.E. Krzanowski and S.M. Allen:Acta Metall., 1979, vol. 31, p. 213.
A.A. Wheeler, G.B. McFadden, and W.J. Boettinger:Phys. Rev. E, 1993, vol. 47, p. 1893.
J.A. Kittl (Texas Instruments, Dallas, TX) and M.J. Aziz (Harvard University, Cambridge, MA): unpublished research (1995).
K.A. Jackson, G.H. Gilmer, and D.E. Temkin:Phys. Rev. Lett, 1995, vol. 75, p. 2530.
W.W. Mullins:J. Appl. Phys., 1957, vol. 28, p. 333.
W.W. Mullins:J. Appl. Phys., 1959, vol. 30, p. 77.
C. Herring: inStructure and Properties of Solid Surfaces, R. Gomer and C.S. Smith, eds., University of Chicago Press, Chicago, IL, 1953, p. 5.
W.W. Mullins and R.F. Sekerka:J. Appl. Phys., 1964, vol. 35, p. 444.
S.M. Allen and J.W. Cahn:Acta Metall., 1979, vol. 27, p. 1085.
P. Baeri, G. Foti, J.M. Poate, S.U. Campisano, and A.G. Cullis:Appl. Phys. Lett, 1981, vol. 38, p. 800.
K.A. Jackson: inSurface Modification and Alloying by Laser, Ion and Electron Beams, J.M. Poate, G. Foti, and D.C. Jacobson, eds., Plenum Press, New York, NY, 1983, p. 51.
K.A. Jackson, G.H. Gilmer, and H.J. Leamy: inLaser and Electron Processing of Materials, C.W. White and P.S. Peercy, eds., Academic Press, New York, NY, 1980, p. 104.
G.H. Gilmer:Mater. Sci. Eng., 1984, vol. 65, p. 15.
B.C. Larson, J.Z. Tischler, and D.M. Mills:J. Mater. Res., 1986, vol. 1, p. 144.
B.C. Larson, J.Z. Tischler, and D.M. Mills:Mater. Res. Soc. Symp. Proc, 1988, vol. 100, p. 513.
M.O. Thompson, P.H. Bucksbaum, and J. Bokor:Mater. Res. Soc. Symp. Proc, 35, 181 (1985).
D.H. Lowndes, J.G.E. Jellison, S.J. Pennycook, S.P. Withrow, and D.N. Mashbum:Appl. Phys. Lett, 1986, vol. 48, p. 1389.
G.J. Galvin, J.W. Mayer, and P.S. Peercy:Appl. Phys. Lett., 1985, vol. 46, p. 644.
P.H. Bucksbaum and J. Bokor:Phys. Rev. Lett., 1984, vol. 53, p. 182.
J.Y. Tsao, M.J. Aziz, M.O. Thompson, and P.S. Peercy:Phys. Rev. Lett., 1986, vol. 56, p. 2712.
S.R. Coriell and D. Turnbull:Acta Metall, 1982, vol. 30, p. 2135.
M.J. Aziz and W.J. Boettinger:Acta Metall. Mater, 1994, vol. 42, p. 527.
M. Carrard, M. Gremaud, M. Zimmermann, and W. Kurz:Acta Metall. Mater., 1992, vol. 40, p. 983.
W.J. Boettinger and S.R. Coriell: inScience and Technology of the Undercooled Melt, P.R. Sahm, H. Jones, and CM. Adams, eds., Martinus Nijhoff, Dordrecht, The Netherlands, 1986, p. 81.
W.J. Boettinger, S.R. Coriell, and R. Trivedi: inRapid Solidification Processing: Principles and Technologies IV, R. Mehrabian and P.A. Parrish, eds., Claitor’s, Baton Rouge, LA, 1988, p. 13.
D.P. Brunco: Ph.D. Thesis, Cornell University, Ithaca, NY, 1995.
D.P. Brunco, M.O. Thompson, D.E. Hoglund, and M.J. Aziz:Mater. Res. Soc. Symp. Proc., 1995, vol. 354.
S.R. Coriell and R.F. Sekerka:J. Cryst. Growth, 1983, vol. 61, p. 499.
M.J. Aziz (Harvard University, Cambridge, MA): unpublished research (1995).
K. Eckler, R.F. Cochrane, D.M. Herlach, B. Feuerbacher, and M. Jurisch:Phys. Rev. B, 1992, vol. 45, p. 5019.
K. Eckler, D.M. Herlach, and M.J. Aziz:Acta Metall. Mater., 1994, vol. 42, p. 975.
M.J. Aziz:J. Appl. Phys., 1982, vol. 53, p. 1158.
P.M. Smith: Ph.D. Thesis, Harvard University, Cambridge, MA, 1992.
M.O. Thompson: Ph.D. Thesis, Cornell University, Ithaca, NY, 1984.
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This article is based on a presentation made at the “Analysis and Modeling of Solidification” symposium as part of the 1994 Fall meeting of TMS in Rosemont, Illinois, October 2–6, 1994, under the auspices of the TMS Solidification Committee.
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Aziz, M.J. Interface attachment kinetics in alloy solidification. Metall Mater Trans A 27, 671–686 (1996). https://doi.org/10.1007/BF02648954
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DOI: https://doi.org/10.1007/BF02648954