Abstract
Experimental methods for the determination of anisotropy in crystal-melt interfacial energy are explored. Equilibrium shape measurements of liquid droplets entrained in single-phase solid are utilized and results are reported for an Al-Cu and an Al-Si alloy. The grain boundary groove method for determination of interfacial energy anisotropy is also examined. A complete coupled-groove solution is presented for a general tilt-boundary groove. The effects of various physical parameters, including interface energy anisotropy, on the groove shape are discussed.
Similar content being viewed by others
References
L.R. Morris, J.R. Carruthers, A. Plumbtree, and W.C. Winegard, Trans. AIME 236, 1286 (1966).
H. Fredriksson and M. Hillert, J. Mat. Science 6, 1350 (1971).
E. Benn and W.W. Walker, Met. Trans. 2, 2735 (1971).
J.A. Eady and L.M. Hogan, J. Crystal Growth 23, 129 (1974).
K. Chattopadhyay, D. Lele, and P. Ramachandrarao, J. Crystal Growth 49, 322 (1980).
L.R. Morris and M. Ryvola, in Microstructural Science, Petzow, Paris, edited by Albrecht and McCall (Elsvier, North Holland, 1981), Vol. 9, p. 241.
D.A. Granger and J. Liu, J. Met. 35, 54 (1983).
H. Anada, R. Haginaka, S. Tada, and S. Hori, Mat. Trans. JIM 30, 684 (1989).
H.R. Last, T.Th. Sanders, Jr., and J.M. Gonsalves, Met. Trans. 21A, 557 (1990).
S. Henry, P. Jarry, and M. Rappaz, Met. Mat. Trans. 29A, 2807 (1998).
J. Friley, Rev. Met. 8, 457 (1911).
A. Pacz, US Patent No. 1,387,900; 1921.
M.L.V. Gayler, J. Inst. Metals 38, 157 (1927).
M.G. Day and A. Hellawell, Proc. Royal Soc. A305, 473 (1968).
H.A.H. Steen and A. Hellawell, Acta Met. 20, 363 (1971).
H.A.H. Steen and A. Hellawell, Acta Met. 23, 529 (1975).
M.D. Hanna, Shu-Zu Lu, and A. Hellawell, Met. Trans. 15A, 459 (1984).
Shu-Zu Lu and A. Hellawell, J. Crystal Growth 73, 316 (1985).
Shu-Zu Lu and A. Hellawell, Met. Trans. 18A, 1721 (1987).
R.E. Napolitano and T.H. Sanders, Jr., in Aluminum Alloys; Their Physical and Mechanical Properties, edited by T.H. Sanders and E.A. Stark (Georgia Institute of Technology, Atlanta, GA, 1994), p. 99.
J.W. Gibbs, Transactions of the Connecticut Academy, III., 1877/July, p. 343.
R. Browner, D. Kessler, J. Koplik, and H. Levine, Phys. Rev.Lett. 51, 1111 (1983).
D. Kessler, J. Koplik, and H. Levine, Phys. Rev. A29, 3161 (1984).
D. Kessler and H. Levine, Phys. Rev. Lett. 57, 3069 (1986).
J.S. Langer, Phys. Rev. A 33, 435 (1986).
J.S. Langer, Phys. Rev. A 39, 5314 (1989).
S. Akamatsu, G. Faivre, and T. Ihle, Phys. Rev E. 51, 4751 (1995).
R. Kobayashi, Physica D 63, 410 (1993).
D. Turnbull, J. Chem. Phys. 18, 768 (1950).
J.W. Taylor, J. Inst. Metals 86, 456 (1957).
J.J. Hoyt, M. Asta, and A. Karma, Phys. Rev. Lett. 86, 5530 (2001).
G. Wulff, Z. Krist. 34, 449 (1901).
M.E. Glicksman and N.B. Singh, J. Crystal Growth 98, 277 (1989).
D.R.H. Jones, Phil. Mag. 20, 569 (1972).
R.J. Schaefer, M.E. Glicksman, and J.D. Ayers, Phil. Mag. 32, 725 (1975).
B. Bayender, N. Marasli, E. Cadirli, H. Sisman, and M. Gunduz, J. Crystal Growth 194, 119 (1998).
W.M. Ketcham and P.V. Hobbs, Phil. Mag. 19, 1161 (1969).
D.R.H. Jones and G.A. Chadwick, Phil. Mag. 22, 291 (1970).
E.R. Rubenstein and M.E. Glicksman, J. Crystal Growth 112, 97 (1991).
B. Bayender, N. Marasli, E. Cadirli, and M. Gunduz, Mat. Sci.Eng. A270, 343 (1999).
A. Dougherty and J.P. Gollub, Phys. Rev. A 38, 3043 (1988).
G.R. Kotler and L.A. Tarshis, J. Crystal Growth 3/4, 603 (1968).
S.C. Hardy and S.R. Coriell, J. Crystal Growth 5, 329 (1969).
N.H. Fletcher, J. Chem. Phys. 30, 1473 (1959).
D. Turnbull, J. Appl. Phys. 21, 1022 (1950).
K. Koo, R. Ananth, and W.N. Gill, Phys. Rev. A 441, 3782 (1991).
J.R. Morris, Z.Y. Lu, and K.M. Ho, Interface Sci. 10, 143–148 (2002).
M.E. Glicksman and C.L. Vold, Acta Metall. 17, 1 (1969).
R.L. Davidchack and B.B. Liard, Phys. Rev. Lett. 85, 4751 (2000).
D. Chatain and J.J. Metois, Surface Sci. 291, 1 (1993).
M. Gűndűz and J.D. Hunt, Acta Metall. 33, 1651 (1985).
N. Marasli and J.D. Hunt, Acta Mater. 44, 1085 (1996).
V.K. Kumikov and Kh.B. Khokonov, J. Appl. Phys. 54, 1346 (1983).
M.P. Dokhov, Izvestiya Rossiiskoi Akademii Nauk. Metally 2, 16 (1994).
M.P. Dokhov, Izvestiya Rossiiskoi Akademii Nauk. Metally 4, 34 (1996).
M. Muschol, D. Liu, and H.Z. Cummings, Phys. Rev.A46, 1038 (1992).
W.A. Miller and G.A. Chadwick, Proc. Royal Soc. A312, 257 (1969).
G.A. Chadwick, in Solidification (ASM, Metals Park, OH, 1969), p. 99.
U.M. Franklin and W.A. Miller, Can. Met. Q. 8, 145 (1969).
J.D. Basterfield, W.A. Miller, and G.C. Weatherly, Can. Met. Q. 8, 131 (1969).
S. Liu, R.E. Napolitano, and R. Trivedi, Acta Mater. 49, 4271 (2001).
P.W. Voorhees, S.R. Coriell, G.B. McFadden, and R.F. Sekerka, J. Crystal Growth 67, 425 (1984).
R.E. Napolitano, in Proc. Int. Conf. on Solidification Processing, edited by B.K. Dhindaw, B.S. Murty, and S. Sen (Science Pub., Plymouth, UK, 2001), p. 73.
R.E. Napolitano, unpublished work.
W.W. Mullins, J. Appl. Phys. 28, 333 (1957).
G.F. Bolling and W.A. Tiller, J. Appl. Phys. 31, 1345 (1960).
W.A. Miller and G.A. Chadwick, Acta Metall. 15, 607 (1967).
G.E. Nash and M.E. Glicksman, Phil. Mag. 24, 577 (1971).
A. Otsuki, H. Yato, and I. Kinjyo, 126-128, 285 (1993).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Napolitano, R., Liu, S. & Trivedi, R. Experimental Measurement of Anisotropy in Crystal-Melt Interfacial Energy. Interface Science 10, 217–232 (2002). https://doi.org/10.1023/A:1015884415896
Issue Date:
DOI: https://doi.org/10.1023/A:1015884415896