Anisotropy of wetting

Annual Review of Materials Research

Volumn 38, Issue , 2008, Pages 45-70

  Chatain, Dominique ^a  

^a AIX MARSEILLE UNIVERSITÉ   (France)

Author keywords

Equilibrium shape; Liquid metal; Metallic solids; Oxides; Solid liquid interface; Surface

Indexed keywords

ANISOTROPY; CONTACT ANGLE; CRYSTALLOGRAPHY; ESTIMATION; INTERFACIAL ENERGY; LIQUID METALS; METALLIC COMPOUNDS; METALLURGY; METALS; SINGLE CRYSTAL SURFACES; WETTING;

CONTACT ANGLES; EQUILIBRIUM SHAPE; EXPERIMENTAL CONDITIONS; LIQUID METAL; METAL-CERAMIC SYSTEMS; METALLIC SOLIDS; METALS AND ALLOYS; OXIDES; SOLID SURFACES; SOLID-LIQUID INTERFACE; SOLID-LIQUID INTERFACES; SURFACE; WETTING ANGLES; YOUNG EQUATIONS;

PHASE INTERFACES;

EID: 50249129832     PISSN: 15317331     EISSN: None     Source Type: Book Series    
DOI: 10.1146/annurev.matsci.38.060407.130210     Document Type: Article

References (103)

1. Herring C. 1951. Some theorems on the free energy of crystal surfaces. Phys. Rev. 82:87-93
2. 3 interfaces. Acta Mater. 47:4209-20
3. Sarou-Kanian V, Millot F, Rifflet JC. 2003. Surface tension and density of oxygen-free liquid aluminum at high temperature. Int. J. Thermophys. 24:277-86
4. Ricci E, Arato E, Passerone A, Costa P. 2005. Oxygen tensioactivity on liquid-metal drops. Adv. Colloid Interface Sci. 117:15-32
5. Serre C, Wynblatt P, Chatain D. 1998. Study of wetting-related adsorption transition in the Ga-Pb system, 1. Surface energy measurements of Ga-rich liquids. Surf. Sci. 415:336-45
6. Shim H, Chatain D, Wynblatt P. 1998. Study of wetting-related adsorption transition in the Ga-Pb system. 2. Surface composition measurements of Ga-rich liquids. Surf. Sci. 415:346-50
7. Keene BJ. 1993. Review of data for the surface tension of pure metals. Int. Mater. Rev. 38:157-92
8. Mills KC, Su YC. 2006. Review of surface tension data for metallic elements and alloys. Part 1: pure metals. Int. Mater. Rev. 51:329-51
9. Wynblatt P, Saul A, Chatain D. 1998. The effects of prewetting and wetting transitions on the surface energy of liquid binary alloys. Acta Mater. 46:2337-47
10. Defay R, Prigogine I, Bellmans A, Everett DH. 1966. Surface Tension and Adsorption. New York: Wiley
11. Kumikov VK, Khokonov KB. 1983. On the measurement of surface free-energy and surface-tension of solid metals. J. Appl. Phys. 54:1346-50
12. Métois JJ, Müller P. 2004. Absolute surface energy determination. Surf. Sci. 548:13-21
13. Wynblatt P, Ku RC. 1977. Surface energy and solute strain energy effects in surface segregation. Surf. Sci. 65:511-31
14. Vinet B, Magnusson L, Fredriksson H, Desré PJ. 2002. Correlations between surface and interface energies with respect to crystal nucleation. J. Colloid Interface Sci. 255:363-74
15. Jones H. 2002. The solid-liquid interfacial energy of metals: calculations versus measurements. Mater. Lett. 53:364-66
16. Gunduz M, Hunt JD. 1985. The measurement of solid-liquid surface energies in the Al-Cu, AlSi and Pb-Sn systems. Acta Metall. Mater. 33:1651-72
17. Chatain D, Métois JJ. 1993. A new procedure for the determination of the free energies of solid-fluid interfaces from the anisotropy of wetting of a melt on its solid. Surf Sci. 291:1-13
18. Jian ZY, Kuribayashi K, Jie WQ, Chang FG. 2006. Solid-liquid interface energy of silicon. Acta Mater. 54:3227-32
19. Keslioglu K, Gunduz M, Kaya H, Cadirli E. 2004. Solid-liquid interfacial energy in the Al-Ti system. Mater. Lett. 58:3067-73
20. Erol M, Marash N, Keslioglu K, Gunduz M. 2004. Solid-liquid interfacial energy of bismuth in the Bi-Cd eutectic system. Scripta Mater. 51:131-36
21. Saatci B, Pamuk H. 2006, Experimental determination of solid-liquid surface energy for Cd solid solution in Cd-Zn liquid solutions. J. Phys. Condens. Matt. 18:10143-55
22. Keslioglu K, Marasli N. 2004. Experimental determination of solid-liquid interfacial energy for Zn solid solution in equilibrium with the Zn-Al eutectic liquid. Metall. Mater. Trans. A 35:3665-72
23. Passerone A, Sangiorgi R, Eustathopoulos N, Desré P. 1979. Microstructure and interfacial tensions in Zn-In and Zn-Bi alloys. Met. Sci. 13:359-65
24. Passerone A, Eustathopoulos N, Desré PJ. 1977. Interfacial tensions in Zn, Zn-Sn and Zn-Sn-Pb systems. J. Less-Common Met. 52:37-49
25. Merkwitz M, Hoyer W. 1999. Liquid-liquid interfacial tension in the demixing metal systems Al-Pb and Al-In. Z Metallkd. 90:363-70
26. Eustathopoulos N, Coudurier L, Joud JC, Desré PJ. 1976. Tension interfaciale solide-liquide des systèmes Al-Sn, Al-In et Al-Sn-In. J. Cryst. Growth 33:105-15
27. Eustathopoulos N, Coudurier L, Joud JC, Desré PJ. 1974. Étude thermodynamique de la tension interraciale solide/liquide pour un système métallique binaire. 3. Étude expérimentale du système Cu-Pb. J. Chim. Phys. 71:1465-71
28. Chatain D, Vahlas C, Eustathopoulos N. 1984. Etude des tensions interfaciales liquide-liquide et solide-liquide dans les systèmes à monotectique Zn-Pb et Zn-PbSn. Acta Metall. 32:227-34
29. Shimizu I, Takei Y. 2005. Temperature and compositional dependence of solid-liquid interfacial energy: application of the Cahn-Hilliard theory. Physica B 362:169-79
30. Levi G, Kaplan WD. 2003. Aluminium-alumina interface morphology and thermodynamics from dewetting experiments. Acta Mater. 51:2 793-802
31. 3. Phys. Rev. B 69:115409
32. Ownby PD, Liu J. 1988. Surface-energy of liquid copper and single-crystal sapphire and the wetting behavior of copper on sapphire. J. Adhes. Sci. Technol. 2:255-69
33. 3-Co systems. J. Mater. Sci. 20:3993-4000
34. Jura G, Garland CW. 1952, The experimental determination of the surface tension of magnesium oxide. J. Am. Chem. Soc. 74:6033-34
35. Saylor DM, Mason DE, Rohrer GS. 2000. Experimental method for determining surface energy anisotropy and its application to magnesia. J. Am. Ceram. Soc. 83:1226-32
36. Chatain D, Rivollet I, Eustathopoulos N. 1986. Adhésion thermodynamique dans les systèmes nonréactifs métal liquide-alumine. J. Chim. Phys. 83:561-67
37. Sangiorgi R, Muolo ML, Chatain D, Eustathopoulos N. 1988. Wettability and work of adhesion of non reactive liquid metals on silica, J. Am. Ceram. Soc. 71:742-48
38. 2 liquid-metal systems. J. Mater. Sci. 28:356-60
39. Chatain D, Ghetta V, Fouletier J. 1998. Wetting and interfaces in metal-oxide systems: sensitivity to experimental conditions. In Interfacial Science in Ceramic Joining, NATO ASI Ser. Proc., ed. A Bellosi, T Komsac, AP Tomsia, 58:45-56. Dordrecht: Kluwer Acad.
40. Barzilai S, Aizenshtein M, Lomberg M, Froumin N, Frage N. 2007. Substrate evaporation induced neck-shape evolution of a liquid/solid interface. Solid State Sci. 9:338-43
41. Chatain D, Lesueur C, Balland JP. 2006. Wetting of Pb on oxidized microparterned Si wafers. Langmuir 22:4230-36
42. Lesueur C, Chatain D, Bergman C, Gas P, Baqué F. 2002. Analysis of the stability of native oxide films at liquid lead/metal interfaces. J. Phys. IV 12:155-62
43. Nogi K, Tsujimoto M, Ogino K, Iwamoto N. 1992. Wettability of MgO single crystal by liquid pure Pb, Sn and Bi. Acta Metall. Mater. 40:1045-50
44. Shen P, Fujii H, Matsumoto T, Nogi K. 2004. Wetting and reaction of MgO single crystals by molten Al at 1073-1473 K. Acta Mater. 52:887-98
45. Chatain D, Chabert F, Ghetta V, Fouletier J. 1994. New experimental setup for wettability characterization under monitored oxygen activity. II. Wettability of sapphire by silver-oxygen melts. J. Am. Ceram. Soc. 77:197-201
46. Cahn JW, Hoffman DW. 1974. A vector thermodynamics for anisotropic surfaces. II. Curved and faceted surfaces. Acta Metall. 22:1205-14
47. Gibbs JW. 1961. The Scientific Papers of J. Willard Gibbs. Vol. 1: Thermodynamics. New York: Dover
48. Curie P. 1885. Sur la formation des cristaux et sur les constantes capillaires de leurs diverses faces. Bull. Soc. Fr. Minéral. Cristalbg. 8:145-50
49. Wulff G. 1901. Zur Frage der Geschwindigkeit des Wachstums und der Auflosung der Krystallflachen. Z. Kristallog: 34:449-530
50. Cahn JW, Handwerker CA. 1993. Equilibrium geometries of anisotropic surfaces and interfaces. Mater. Sci. Eng. A 162:83-95
51. Cahn JW, Carter WC. 1996. Crystal shapes and phase equilibria: a common mathematical basis. Metall. Mater. Trans. A 27: 1431-40
52. Heyraud JC, Métois JJ. 1983. Equilibrium shape and temperature: lead on graphite. Surf. Sci. 128:334-42
53. Nowicki M, Emundts A, Bonzel HP. 2003. 3D equilibrium crystal shapes of Pb: the significance of step-resolved images. Prog. Surf Sci. 74:123-40
54. Heyraud JC, Métois JJ. 1986. Surface free-energy anisotropy measurement of indium. Surf. Sci. 177:213-20
55. HeyraudJC, Métois JJ. 1980. Equilibrium shape of gold crystallites on a graphite cleavage surface: surface energies and interfacial energy. Acta Metall. 28:1789-97
56. Wang ZM, Wynblatt P. 1998. The equilibrium form of pure gold crystals. Surf Sci. 8:259-66
57. Chatain D, Ghetta V, Wynblatt P. 2004. Equilibrium shape of copper crystals grown on sapphire. Interface Sci. 12:7-18
58. Bermond JM, Métois JJ, Egea X, Floret F. 1995. The equilibrium shape of silicon. Surf. Sci. 330:48-60
59. Rohrer GS, Rohrer CL, Mullins WW. 2001. Nucleation energy barriers for volume-conserving shape changes of crystals with nonequilibrium morphologies. J. Am. Ceram. Soc. 84:2099-104
60. Heyraud JC, Métois JJ. 1987. Growth shapes of metallic crystals and roughening transition. J. Cryst. Growth 82:269-73
61. Suzuki T, Métois JJ, Yagi K. 1995. REM observations of the birth stage of the flat facets on an inner cylindrical silicon surface. Surf Sci. 339:105-13
62. Miller WA, Carpenter GJC, Chadwick GA. 1969. Anisotropy of interfacial free energy of some hexagonal closed-packed metals. Philos. Mag. 19:305-19
63. Medifessel M, Hennig D, Scheffler M. 1992. Trends of surface relaxations, surface energies, and work functions of the 4d transition metals. Phys. Rev. 546:4816-29
64. Galanakis I, Bihlmayer G, Bellini V, Papanikolaou N, Zeller R, et al. 2002. Broken-bond rule for the surface energies of noble metals. Europhys. Lett. 58:751-57
65. MacKenzie JK, Moore AJW, Nicholas JF. 1962. Bonds broken at atomically flat crystal surfaces. J. Phys. Chem. Solids 23:185-205
66. De Jonghe V, Chatain D, Rivollet I, Eustathopoulos N. 1990. Contact angles hysteresis due to roughness in four liquid metal/sapphire systems. J. Chim. Phys. 87:1623-45
67. Sundquist BE. 1964. A direct determination of the anisotropy of the surface energy of solid gold, copper, nickel, α- and γ-iron. Acta Metall. 12:67-86
68. Wynblatt P, Cheng WC, Liu YS. 1995. Miscibility gap and faceting phase-transition at alloy surfaces. Prog. Surf Sci. 48:261-72
69. Cheng WC, Wynblatt P. 1996. Observation of two smooth-to-rough facet edge transitions at the {111} facets of a Pb alloy. Surf Sci. 364:417-23
70. Chatain D, Wynblatt P, Rohrer GS. 2005. Equilibrium crystal shape of Bi-saturated Cu crystals at 1223 K. Acta Mater. 53:4057-64
71. Wynblatt P, Chatain D. 2006. Anisotropy of segregation at grain boundaries and surfaces. Metall. Mater. Trans. A 37:2595-620. Erratum. 2007. 38:438-39
72. Gabrisch H, Kjeldgaard L, Johnson E, Dahmen U. 2001. Equilibrium shape and interface roughening of small liquid Pb inclusions in solid Al. Acta Metall. 49:4259-69
73. Felberbaum L, Rossoll A, Mortensen A. 2005. A stereoscopic method for dihedral angle measurement. J. Mater. Sci. 40:3121-27
74. Passerone A, Eustathopoulos N. 1982. Equilibrium structural transitions of solid-liquid interfaces in zinc-based alloys. Acta Metall. 30:1349-56
75. Vahlas C, Eustathopoulos N, Camel D. 1988. Adsorption-induced solid-liquid interfacial roughening in Zn alloys. J. Cryst. Growth 92:253-58
76. Miller WA, Chadwick GA. 1969. The equilibrium shapes of small liquid droplets in solid-liquid phase mixtures: metallic h.c.p. and metalloid systems. Proc. R. Soc. London Ser. A 312:257-76
77. Sarholt L, Jensen ASB, Touboltsev VS, Johansen A, Johnson E. 2001. Nanoscale lead-cadmium alloy inclusions in silicon. Mater. Sci. Forum 360:283-88
78. Heyraud JC, Métois JJ. 1987. Equilibrium shape of an ionic crystal in equilibrium with its vapour (NaCl). J. Cryst. Growth 84:503-8
79. Henrich VE. 1976. Thermal faceting of (110) and (111) surfaces of MgO. Surf. Sci. 57:385-92
80. Kitayama M, Glaeser AM. 2002. The Wulff shape of alumina. III. Undoped alumina. J. Am. Ceram. Soc. 85:611-22
81. Choi JH, Kim DY, Hockey BJ, Wiederhorn SM, Handwerker CA, et al. 1997. Equilibrium shape of internal cavities in sapphire. J. Am. Ceram. Soc. 80:62-68
82. Sadan H, Kaplan WD. 2006. Morphology and orientation of the equilibrated Au-sapphire (10-10) interface. J. Mater. Sci. 41:5371-75
83. 4+-doped alumina. J. Am. Ceram. Soc. 88:3492-500
84. Choi JH, Kim DY, Hockey BJ, Widerhorn SM, Blendell JE, et al. 2002. Equilibrium shape of internal cavities in ruby and the effect of surface energy anisotropy on the equilibrium shape. J. Am. Ceram. Soc. 85:1841-44
85. Backhaus-Ricoult M. 2001. Wetting anisotropy and oxygen activity dependency for oxides by liquid transition metals studied through shape changes of liquid Cu inclusions within MgO. Acta Mater. 49:1747-58
86. Cheng WC, Chtain D, Wynblatt P. 1995. Observations of anisotropic wetting in solid-liquid Pb-Ga alloys. Surf Sci. Lett. 327:501-4
87. Naidich YV, Grigorenko NF, Perevertailo VM. 1981. Interface and capillary phenomena in crystal growth and melting processes. J. Cryst. Growth 53:261-72
88. Hovis JS, Hamers RJ, Greenlief CM. 1999. Preparation of clean and atomically flat germanium(001) surfaces. Surf. Sci. 440:L815-19
89. Roosen AR, McCormack R, Carter WC. 1998. Wulffman: a tool for the calculation and display of crystal shapes. J. Comp. Mater. Sci. 11:16-26
90. Roosen AR, McCormack R, Carter WC. 1999. Wulffman: An Interactive Crystal Shape Constructor. Public domain software available at http://www.ctcms.nist.gov/archives/software/
91. Shi Z, Wynblatt P. 2002. A study of the Pb/Al(100) interfacial energy, Metall. Mater. Trans. A 33:2569-72
92. Shi Z, Lowekamp JB, Wynblatt P. 2002. Energy of the Pb{111} parallel to Al{111} interface. Metall. Mater. Trans. A 33:1003-7
93. Rao G, Zhang DB, Wynblatt P. 1993. A determination of interfacial energy and interfacial composition in Cu-Pb and Cu-Pb-X alloys by solid-state wetting measurements. Acta Metall. 41:3331-40
94. Johnson E, Johansen A, Dahmen U, Chen S, Fujii T. 2001. Shapes and sizes of nanoscale Pb inclusions in Al. Mater. Sci. Eng. A 304-306:187-93
95. Goswami R, Chattopadhyay K. 1995. The superheating and the crystallography of embedded Pb particles in fee Al, Cu and Ni matrices. Acta Metall. Mater. 43:2837-47
96. Chatain D, Galy D. 2006. Epitaxy of Pb crystal on Cu. J. Mater. Sci. 41:7769-74
97. 3 single crystals. Ser. Mater. 54:1369-73
98. Shanahan MER. 1995. Simple theory of stick-slip wetting hysteresis. Langmuir 11:1041-43
99. Naidich JV. 1981. The wettability of solids by liquid metals. In Progress in Surface and Membrane Science, ed. DA Cadenhead, JF Danielli, p. 353-484. London: Academic
100. Levi G, Kaplan WD. 2002. Oxygen induced interfacial phenomena during wetting of alumina by liquid aluminium. Acta Mater. 50:75-88
101. 3 by aluminum in a reduced atmosphere. Acta Mater. 514897-906
102. Shen P, Fujii H, Matsumoto T, Nogi K. 2005. Surface orientation and wetting phenomena in Si/α-alumina system at 1723 K. J. Am. Ceram. Soc. 88:912-17
103. Chatain D, Lewis D, Baland JP, Carter WC. 2006. Numerical analysis of the shapes and energies of droplets on micropatterned substrates. Langmuir 22:4237-43