Abstract
The characterization of reactive solid-liquid interfacial energies and solid surface energies is a pressing problem in materials science and surface science. Based on the concept that unbalanced forces doing work, a mathematical formulation between surface energies and interfacial energies for reactive wetting is presented. The resulting formalism has significant generality in which the equilibrium Young’s equation for solid-liquid interfacial energies is just a special case. It is shown that a solid-liquid interfacial energy at non-equilibrium is always higher than that at equilibrium, and that the transformation of reactive interfaces to equilibrium interfaces is an inevitable, spontaneous process. The numerical range of solid-liquid interfacial energies γ sl for a limited, solid-liquid interfacial wetting system was calculated to be 0 ⩽ γ sl ⩽ γ sg. The calculation methods for reactive solid-liquid interfacial energies and solid surface energies are presented. They are significant for composite materials and weld, powder sinter, package of electronic devices, and other surface and interfacial issues in metallurgy.
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References
Young T. An essay on the cohesion of fluids. Phil Trans Roy Soc Lond, 1805, 95: 65–87
Good R J. Surface free energy of solids and liquids: Thermodynamics, molecular forces, and structure. J Colloid Interface Sci, 1977, 59: 398–417
Zisman W A. Influence of constitution on adhesion. Ind Eng Chem, 1963, 55: 18–38
Fowkes F M, Huang Y C, Shah B A, et al. Surface and colloid chemical studies of gamma iron oxides for magnetic memory media. Colloids Surf, 1988, 29: 243–261
Van Oss C J, Wu W, Docoslis A, et al. The interfacial tensions with water and the Lewis acid-base surface tension parameters of polar organic liquids derived from their aqueous solubilities. Colloids Surf B, 2001, 20: 87–91
Siboni S, Della Volpe C, Maniglio D, et al. The solid surface free energy calculation II. The limits of the Zisman and of the “equation-of-state” approaches. J Colloid Interface Sci, 2004, 271: 454–472
Sharma P K, Rao K H. Analysis of different approaches for evaluation of surface energy of microbial cells by contact angle goniometry. Adv Colloid Interface Sci, 2002, 98: 341–463
Kwok D Y, Ng H, Neumann A W. Experimental study on contact angle patterns: Liquid surface tensions less than solid surface tensions. J Colloid Interface Sci, 2000, 225: 323–328
Zhu D Y, Dai P Q, Luo X B, et al. Novel characterization of wetting properties and the calculation of liquid-solid interface tension (I) (in Chinese). Sci Tech Eng, 2007, 7: 3057–3062
Zhu D Y, Zhang Y C, Dai P Q, et al. Novel characterization of wetting properties and the calculation of liquid-solid interface tension (II) (in Chinese). Sci Tech Eng, 2007, 7: 3063–3068
Luo X B, Zhu D Y, Qiao W, et al. Wettability of high surface energy solid and its surface tension calculation (in Chinese). J Mater Sci Eng, 2008, 26: 932–936
Zhang Y C, Zhu D Y, Xu S N. Experiment of wettability of high polymer surface and calculation of surface tension (in Chinese). Sci Tech Eng, 2009, 9: 3595–3600
Zhu D Y, Qiao W, Wang L D. Hydrophobic mechanism and criterion of lotus-leaf-like micro-convex-concave surface. Chin Sci Bull, 2011, 56: 1623–1628
Kritsalis P, Merlin V, Coudurier L, et al. Effect of Cr on interfacial interaction and wetting mechanisms in Ni alloy/alumina systems. Acta Metall Mater, 1992, 40: 1167–1175
Mutale C T, Krafick W J, Weirauch D A. Direct observation of wetting and spreading of molten aluminum on TiB2 in the presence of a molten flux from the aluminum melting point up to 1033 K (760°C). Metall Mater Trans B, 2010, 41B: 1368–1374
Chew C S, Haseeb A S M A, Johan M R. Wetting behavior of lead free solder on electroplated Ni and Ni-W alloy barrier film. International Conference on Electronic Packaging Technology & High Density Packaging (ICEPT-HDP), 2009. 795–798
Yost F G, Romig A D. Electronic packaging materials science III. Pittsburgh, PA: Mater Res Soc Symp Proc, 1988, 108: 385–392
Attar E, Korner C. Lattice Boltzmann method for dynamic wetting problems. J Colloid Interface Sci, 2009, 335: 84–93
Attard P. Thermodynamic analysis of bridging bubbles and a quantitative comparison with the measured hydrophobic attraction. Langmuir, 2000, 16: 4455–4466
Kolev V L, Kochijashky I I, Danov K D, et al. Spontaneous detachment of oil drops from solid substrates: Governing factors. J Colloid Interface Sci, 2003, 257: 357–363
Yan X W, Qiu T, Zhang Z Z. Double sphero-crown wetting model and wettability characterization factor λ (in Chinese). J Lanzhou Univ Tech, 2006, 32: 26–28
Protsenko P, Garandet J P, Voytovych R, et al. Thermodynamics and kinetics of dissolutive wetting of Si by liquid Cu. Acta Mater, 2010, 58: 6565–6574
Fukuda A, Yoshikawa T, Tanaka T. A fundamental approach for the measurement of solid-liquid interfacial energy. J Phys: Conf Ser, 2009, 165: 1–4
Laurent V, Chatain D, Eusmthopoulos N. Wettability of SiO2 and oxidized SiC by aluminium. Mater Sci Eng A, 1991, 135: 89–94
Good R J, Girifalco L A. A theory for estimation of surface and interfacial energies III estimation of energies surface energies of solids from contact angle data. J Phys Chem, 1960, 64: 561–565
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Zhu, D., Liao, X. & Dai, P. Theoretical analysis of reactive solid-liquid interfacial energies. Chin. Sci. Bull. 57, 4517–4524 (2012). https://doi.org/10.1007/s11434-012-5382-x
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DOI: https://doi.org/10.1007/s11434-012-5382-x