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The Zisman equation, the Fowkes equation and the Owens-Wendt equation, which are derived based on the Berthelot geometric averaging rule for the adhesion work of solid-liquid interface, are theoretical foundations of experimental measurements of surface tensions of solid-liquid interfaces. We generalize the Berthelot geometric averaging rule and obtain a generalized expression of the parameters in Zisman equation. We also obtain a generalized Fowkes equation and a generalized Owens-Wendt equation.
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Keywords:
- contact angle /
- Berthelot rule /
- Fowkes equation /
- Owens-Wendt equation
[1] Tavana, H, Neumann, A W 2007 Adv. Colloid Interface Sci. 132 1
[2] de Gennes P G 1985 Rev. Mod. Phys. 57 827
[3] Adamson A W, Physical Chemistry of Surfaces (John Wiley and Sons, New York, 1990) 5th ed.
[4] de Gennes P G, Brochard W F, Quere D 2004 Capillarity and wetting phenomena: drops,bubbles,pearls waves (New York: Springer-Verlag)
[5] Barber A H, Cohen S R, Wagner H D 2004 Phys. Rev. Lett. 92 186103
[6] Barber A H, Cohen S R, Wagner H D 2005 Phys. Rev. B 71 115443
[7] Verdaguer A, Sacha G M, Bluhm H, Salmeron M 2006 Chem. Rev. 106 1478
[8] Tay K A, Bresme F 2006 J. Am. Chem. Soc. 128 14466
[9] Young T 1805 Philos. Trans. Roy. Soc. London 95 65
[10] Berthelot D 1898 Compt. Rend. 126 1857
[11] Kwok D Y, Neumann A W 1998 Progr. Colloid Polym. Sci. 109 170
[12] Sharma P K, Rao K H 2002 Adv. Collid Interface Sci. 98 341
[13] Ruzeng Z, Shuwen C, Xiaosong W 2010 Eur. J. of Phys.31 251
[14] Fox H W, Zisman A W 1952 J. Coll. Sci. 7 109
[15] Zisman A W 1963 Adv. Chem. Ser. 43 (ACS, Washington)
[16] Dujardin E 1994 Science 265 1850
[17] Kwok D Y, Li D, Neumann A W 1994 Colloid Surfaces A 89 181
[18] Kwok D Y, Neumann A W, 1999 Adv. Collid Interface Sci. 81 167
[19] Fowkes F W 1969 Hydrophobic Sueface (New York:Academic Press)
[20] Cui S W 2008 Ph. D. Thesis(Beijing: Institute of Mechanics, Chinese Academy of Sciences) (in Chinese)[崔树稳 2008 博 士学位论文(北京:中国科学院力学研究所)] 〖21] Fowkes F M 1962 J. Phys. Chem. 66 382
[21] Fowkes F M 1964 Ind. Eng. Chem. 5 40
[22] Owens D K, Wendt R C 1969 J. Appl. Polym. Sci. 13 1741
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[1] Tavana, H, Neumann, A W 2007 Adv. Colloid Interface Sci. 132 1
[2] de Gennes P G 1985 Rev. Mod. Phys. 57 827
[3] Adamson A W, Physical Chemistry of Surfaces (John Wiley and Sons, New York, 1990) 5th ed.
[4] de Gennes P G, Brochard W F, Quere D 2004 Capillarity and wetting phenomena: drops,bubbles,pearls waves (New York: Springer-Verlag)
[5] Barber A H, Cohen S R, Wagner H D 2004 Phys. Rev. Lett. 92 186103
[6] Barber A H, Cohen S R, Wagner H D 2005 Phys. Rev. B 71 115443
[7] Verdaguer A, Sacha G M, Bluhm H, Salmeron M 2006 Chem. Rev. 106 1478
[8] Tay K A, Bresme F 2006 J. Am. Chem. Soc. 128 14466
[9] Young T 1805 Philos. Trans. Roy. Soc. London 95 65
[10] Berthelot D 1898 Compt. Rend. 126 1857
[11] Kwok D Y, Neumann A W 1998 Progr. Colloid Polym. Sci. 109 170
[12] Sharma P K, Rao K H 2002 Adv. Collid Interface Sci. 98 341
[13] Ruzeng Z, Shuwen C, Xiaosong W 2010 Eur. J. of Phys.31 251
[14] Fox H W, Zisman A W 1952 J. Coll. Sci. 7 109
[15] Zisman A W 1963 Adv. Chem. Ser. 43 (ACS, Washington)
[16] Dujardin E 1994 Science 265 1850
[17] Kwok D Y, Li D, Neumann A W 1994 Colloid Surfaces A 89 181
[18] Kwok D Y, Neumann A W, 1999 Adv. Collid Interface Sci. 81 167
[19] Fowkes F W 1969 Hydrophobic Sueface (New York:Academic Press)
[20] Cui S W 2008 Ph. D. Thesis(Beijing: Institute of Mechanics, Chinese Academy of Sciences) (in Chinese)[崔树稳 2008 博 士学位论文(北京:中国科学院力学研究所)] 〖21] Fowkes F M 1962 J. Phys. Chem. 66 382
[21] Fowkes F M 1964 Ind. Eng. Chem. 5 40
[22] Owens D K, Wendt R C 1969 J. Appl. Polym. Sci. 13 1741
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