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Isotherms of surface tension in copper-based systems

  • Structure, Phase Transformations, and Diffusion
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Abstract

The surface tensions of pure copper and its alloys with antimony, tin, and indium have been measured for free surfaces and grain boundaries. The measurements have been conducted at 1000°C in a hydrogen atmosphere by the zero-creep method in combination with the thermal-grooving method. The surface-tension isotherms satisfy the Szyszkowski’s equation. Based on the data obtained, the values of adsorptive capacity of free surface and grain boundaries (z FS and z GB), constants of adsorption equilibrium (b FS and b GB), occupancies (fraction of occupied sites θ), and free energies of binding of impurity atoms with the surface (ΔF) have been calculated. All these parameters for copper alloys with Sb, Sn, and In within their solid solutions as well as for alloys with Sb, Bi, and Au at other temperatures based on the data obtained by the other authors have been compared.

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References

  1. H. Udin, A. J. Shaler, and J. Wulff, “The Surface Tension of Solid Copper,” Trans. Metall. Soc. AIME 185, 186–190 (1949).

    Google Scholar 

  2. M. D. Greenberg, J. N. Pryor, and W. L. Elban, “On the Formulation of the Zero Creep Method for Small Diameter Wires,” Mater. Sci. Eng. 33, 63–67 (1978).

    Article  Google Scholar 

  3. F. Y. Genin, “Determination of the Interfacial Tension by Thermal Grooving and Zero Creep in Coaxial Wires—Theory,” Acta Metal. Mater. 42(11), 3881–3885 (1994).

    Article  CAS  Google Scholar 

  4. D. Josell and F. Spaepen, “Determination of the Interfacial Tension by Zero Creep Experiments on Multilayers-I. Theory,” Acta Metall. Mater. 41(10), 3007–3015 (1993).

    Article  CAS  Google Scholar 

  5. S. N. Zhevnenko, “Device for Determination of Surface Tension of Solid Metals by Zero Creep Method,” Zavod. Labor. (Diagnostika Materialov) 71(9), 44–47 (2005).

    Google Scholar 

  6. E. D. Hondros, “Interfacial Segregation of Nitrogen in Iron,” Met. Sci. J. 1, 36–39 (1967).

    CAS  Google Scholar 

  7. B. S. Bokshtein, D. V. Vaganov, and S. N. Zhevnenko, “Surface Tension Isotherms of a Free Surface and Grain Boundaries in the Cu-Sn System,” Fiz. Met. Metalloved. 104(6), 586–593 (2007) [Phys. Met. Metallogr. 104 (6), 564–570 (2007)].

    CAS  Google Scholar 

  8. H. Jones, “The Grain Boundary Term in Surface Energy Measurement by Zero Creep,” Scr. Metall. 6, 423–429 (1972).

    Article  Google Scholar 

  9. W. Mullins, “Theory of Thermal Grooving,” J. Appl. Phys. 28(3), 333–338 (1957).

    Article  CAS  Google Scholar 

  10. W. Mullins, “Grain Boundary Grooving by Volume Diffusion,” Trans. Metall. Soc. 218, 354–361 (1960).

    CAS  Google Scholar 

  11. A. Worthing and J. G. Geffner, Treatment of Experimental Data (Wiley, New York, 1943; Inostrannaya Literature, Moscow, 1949).

    Google Scholar 

  12. J. E. Hilliard, M. Cohen, and B. L. Averbach, “Grain-Boundary Energies in Gold-Copper Alloys,” Acta Metall. 8, 26–31 (1960).

    Article  Google Scholar 

  13. M. C. Inman, D. McLean, and H. R. Tipler, “Interfacial Free Energy of Copper-Antimony Alloys,” Proc. Roy. Soc. A273, 538–557 (1963).

    Google Scholar 

  14. E. D. Hondros and D. McLean, “Cohesion Margin of Copper,” Philos. Mag. 29, 771–795 (1974).

    Article  CAS  Google Scholar 

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Original Russian Text © S.N. Zhevnenko, 2008, published in Fizika Metallov i Metallovedenie, 2008, Vol. 106, No. 3, pp. 286–293.

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Zhevnenko, S.N. Isotherms of surface tension in copper-based systems. Phys. Metals Metallogr. 106, 276–283 (2008). https://doi.org/10.1134/S0031918X0809007X

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  • DOI: https://doi.org/10.1134/S0031918X0809007X

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