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Structural Evolution and Phase Stability of Hume-Rothery Phase in a Mechanically Driven Nanostructured Ag-15 at. pct Sn Alloy

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Abstract

The paper reports phase evolution in mechanically driven Ag-15 at. pct Sn alloy powder starting with elemental powders in order to establish the feasibility of designing nanocomposites of a Ag-Sn solid solution. This alloy lies in the phase field of the hexagonal ζ-phase which is a well-known Hume-Rothery electron compound with an electron-to-atom ratio of about 1.45 and hexagonal crystal structure (a = 0.2966 nm, c = 0.4782 nm). Through a systematic use of X-ray diffraction and transmission electron microscopy, the results establish the formation of the ζ-phase which co-exists with the Ag solid solution during the initial phase of milling. Mechanical milling for long duration (55 hours) destabilizes the ζ-phase. A complete solid solution of Ag with a grain size of ~8 nm could be achieved after 60 hours of milling. Additional milling can induce decomposition of the solid solution that results in a reappearance of ζ-phase. We present a detailed thermodynamic calculation which indicates that complete Ag solid solution of the present alloy composition would be possible if the crystallites size can be reduced below a certain critical size. In particular, we show that both Ag and ζ-phase grain sizes need to be taken into account for determining the metastable equilibrium and the phase change that has been experimentally observed. Finally, we argue that recrystallization processes set a limit to the achievable size of the nanoparticles with metastable Ag solid solution.

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References

  1. I.E. Anderson: J. Mater. Sci. Mater. Electron., 2007, Vol.18(1–3), pp.55-76.

    Google Scholar 

  2. H.M. Khlyap, V.I. Laptev: Recent Pat. Nanotechnol., 2011, Vol. 5(2), pp. 100-05.

    Article  Google Scholar 

  3. Y. Mizuno, H. Takahashi, S. Ukishima, T. Komatsu, and S. Ishibashi: US Patent, 12 May 2011, US 2011/0108114 A1.

  4. D. Partin, A. Milnes, L. Vassamillet: J. Electron. Mater., 1978, Vol. 7(2), pp. 279-307.

    Article  Google Scholar 

  5. G. Toida, Y. Shirai, N. Mizmura, M. Komagata, and K. Suzuki: 5th IEEE International Conference on Polymers and Adhesives in Microelectronics and Photonics, Polytronics, 2005, pp. 7–12.

  6. K. Suzuki, Y. Shirai, N. Mizumura, and M. Komagata: 4th IEEE International Conference on Polymers and Adhesives in Microelectronics and Photonics, Polytronics, 2004, pp. 57–62.

  7. E. Ronnebro, J. Yin, A. Kitano, M. Wada, S. Tanase, T. Sakai: J. Electrochem. Soc., 2004, Vol. 151(10), pp. 1738-44.

    Article  Google Scholar 

  8. J. Yin, M. Wada, S. Yoshida, K. Ishihara, S. Tanase, T. Sakai: J. Electrochem. Soc., 2003, Vol. 150(8), pp. 1129-35.

    Article  Google Scholar 

  9. L.B. Johnson: J. Biomed. Mater. Res., 1970, Vol. 4(2), pp. 269-74.

    Article  Google Scholar 

  10. C. Suryanarayana: Non-Equilibrium Processing of Materials, 2nd ed., vol. 2, Pergamon Press, Oxford, 1999, pp. xix–xx.

  11. C.C. Koch, J.D. Whittenberger: Intermetallics, 1996, Vol. 4(5), pp. 339-55.

    Article  Google Scholar 

  12. B.S. Murty, S. Ranganathan: Int. Mater. Rev., 1998, Vol. 43(3), pp. 101-141.

    Google Scholar 

  13. E.H. Fecht, Z. Fu, W.L. Johnson: Adv. Powder Metall., 1989, Vol. 1, pp. 111-22.

    Google Scholar 

  14. A.R. Jones, K.H. Jürgen Buschow, R.W. Cahn, M.C. Flemings, B. Ilschner, E.J. Kramer, S. Mahajan, and P. Veyssière: Encyclopedia of Materials: Science and Technology, Elsevier, Oxford, 2001, pp. 1–5.

  15. E. Gaffet, M. Abdellaoui, N. Malhouroux: Mater. Trans., 1995, Vol. 36(2): pp. 198-209.

    Google Scholar 

  16. C. Suryanarayana: Bibliography, on Mechanical Alloying and Milling. Cambridge Interscience Publ., Cambridge, 1995.

    Google Scholar 

  17. M. Lai, L. Lu: Mechanical Alloying, Kluwer, Boston, 1998.

    Google Scholar 

  18. W. Hume-Rothery: The Structure of Metals and Alloys, vol. 1, Institute of Metals Monograph and Report Series, London, 1936.

  19. H.W.King, T.B.Massalski: Philos. Mag, 1961, Vol. 6, pp.669-82.

    Article  Google Scholar 

  20. T.B.Massalski, H.W.King: Prog. Mater. Sci., 1963, Vol.10, pp.1-78.

    Article  Google Scholar 

  21. R. Manaila, F. Zavaliche, R. Popescu, D. Macovei, A. Devenyi, C. Bunescu, E. Vasile, A. Jianu: Mater. Sci. Eng. A, 1997, Vol. 226-228, pp. 290-95.

    Article  Google Scholar 

  22. N.K.Mukhopadhyay, D.Mukherjee, S.Bera, I. Manna, R.Manna: Mater. Sci. Eng. A, 2008, Vol. 485(1-2), pp. 673-80.

    Article  Google Scholar 

  23. J.Andrade-Gamboa, F.C.Gennari, P.Larochette, C.Arneodo Neyertz, M.Ahlers, J.L. Pelegrina: Mater. Sci. Eng. A, 2007, Vol. 447(1-2), pp. 324-31.

    Article  Google Scholar 

  24. S.Martelli, G.Mazzone, S.Scaglione, M.Vittori: J. Less-Comm. Met., 1988, Vol.145, pp.261-70.

    Article  Google Scholar 

  25. C.Y.Chung, M.Zhu, C.H.Man: Intermetallics, 2002, Vol.10(9), pp.865-71.

    Article  Google Scholar 

  26. C. Suryanarayana: Prog. Mater. Sci. 2001, Vol. 46(1-2), pp.1-184.

    Article  Google Scholar 

  27. M.Yono, H.Asano, N.Nakanish, S.Kachi: Trans. Jpn. Inst. Met., 1967, Vol. 8(4), pp. 277-78.

    Google Scholar 

  28. T.B. Massalski: Binary Alloy Phase Diagrams, vol. 1–3, American Society for Metals, Materials Park, 1986.

  29. T.B.Massalski: J. Phys. Paris, 1962, Vol. 23, pp. 647-49.

    Google Scholar 

  30. B.D. Cullity: Elements of X-Ray Diffraction, Addison-Wesley Publishing Company, Massachusetts, 1956.

    Google Scholar 

  31. R.A.Young: The Rietveld Method, Oxford University Press, Oxford, 1995.

    Google Scholar 

  32. B.F.Dyson: J. Appl. Phys., 1966, Vol. 37(6), pp. 2375-77.

    Article  Google Scholar 

  33. H. Bakker, H.P. Bonzel, C.M. Bruff, M.A. Dayananda, W. Gust, J. Horvath, I. Kaur, G.V. Kidson, A.D. LeClaire, H. Mehrer, G.E. Murch, G. Neumann, N. Stolica, and N.A. Stolwijk: in Landolt–Bornstein Numerical Data and Functional Relationships in Science and Technology, Diffusion in Solid Metals and Alloys, vol. 26, O. Mandelung, ed., Springer, Berlin, 1990.

  34. G.Martin: Phys. Rev. B, 1984, Vol. 30(3), pp. 1424-36.

    Article  Google Scholar 

  35. G. Martin and P. Bellon: Driven Alloys in Solid State Physics, Academic Press, New York, 1996, p. 189.

  36. C.Tomizuka, L.Slifkin: Phys. Rev., 1954, Vol. 96(3), pp. 610-15.

    Article  Google Scholar 

  37. F. Delogu: J. Appl. Phys., 2008, Vol. 104(7), pp.73533-37.

    Article  Google Scholar 

  38. K.Suzuki, S. Kano, M. Kajihara, N. Kurokawa, K.Sakamoto: Mater. Trans., 2005, Vol. 46(5), pp. 969-73.

    Article  Google Scholar 

  39. T.Takenaka, M. Kajihara: Mater. Trans.2006; Vol. 47(3), pp. 822-28.

    Article  Google Scholar 

  40. W.B.Pearson: Handbook of Lattice Spacings and Structure of Metals and Alloys, Vol. 1, New York, Pergamon Press, 1958.

    Google Scholar 

  41. J.Sheng, U.Welzel, E.J.Mittemeijer: Appl. Phys. Lett., 2010, Vol. 97: pp.1531091-93.

    Article  Google Scholar 

  42. J.S.Vermaak, C.W.Mays, D.Kuhlmann, Surf. Sci. 1968, Vol.12, pp.128-33.

    Article  Google Scholar 

  43. C.W.Mays, J.S.Vermaak, D.Kuhlmann: Surf. Sci., 1968, Vol. 12, pp. 134-40.

    Article  Google Scholar 

  44. P.Lamparter, J.Mittemeijer: Int. J. Mater. Res. 2007, Vol. 98, pp.485-95.

    Article  Google Scholar 

  45. E. Zen: Am. Mineral. 1956, vol. 41, pp. 523–24.

  46. I. Barin, O. Knacke, and O. Kubaschewski: Thermodynamic Properties of Inorganic Substance, Springer, Berlin, 1977.

  47. P.Y. Chevalier: Thermochim. Acta, 1988, Vol.136, pp.45-54.

    Article  Google Scholar 

  48. A.T.Dinsdale: CALPHAD, 1991, Vol. 15(4), pp.317-425.

    Article  Google Scholar 

  49. J. Weissmüller, P. Bunzel, and G. Wilde: Scripta Mater., 2004, vol. 51, pp. 813–18.

  50. B.X.Liu, O.Jin: Phys. Status Solidi A, 1997, Vol. 161(3), pp. 3-33.

    Article  Google Scholar 

  51. X.Y.Li, Z.F. Li, B.X.Liu: J. Alloy. Compd., 2002, Vol.334, pp.167-72.

    Article  Google Scholar 

  52. X.Bai, T.L. Wang, N. Ding, J.H. Li, B.X. Liu: J. Appl. Phys. 2010, Vol.108, pp. 0735341-45.

    Google Scholar 

  53. S. Chithra, S. Lele, K. Chattopadhyay, Acta Mater., 2011, Vol. 59, pp. 2009-19.

    Article  Google Scholar 

  54. M.Green: Solid State Surface Science, Marcel Dekker, New York, 1973.

    Google Scholar 

  55. C.Srivastava, S.Chithra, K.D.Malviya, S.K.Sinha, K.Chattopadhyay: Acta Mater., 2011, Vol. 59, pp.6501-09.

    Article  Google Scholar 

  56. Q.Jiang, S.Zhang, M.Zhao: Mater. Chem. Phys., 2003, Vol. 80, pp.225-27.

    Article  Google Scholar 

  57. G. Spur and T. Stöferle, eds.: Handbuch der Fertigungstechnik, vol. 4/2, Wärmebehandlung, Carl Hanser, Munich, 1987.

  58. N.L.Pravoverov, I.A. Tribunskaya: Sov. Powder Metall+, 1969, vol. 8, pp.1006–11.

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Acknowledgments

One of the authors, Chithra S would like to thank Mr. Sriram, summer project student, NIT, Trichy for his help in carrying out some of the milling experiments and in the XRD studies. The author would like to acknowledge the microscopy facilities available at Advanced Facility for Microscopy and Microanalysis, Institute, Indian Institute of Science, Bangalore, India. The study was supported by a grant from the Department of Science and Technology, Govt. of India.

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Correspondence to K. Chattopadhyay.

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Manuscript submitted May 15, 2013.

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Chithra, S., Malviya, K.D. & Chattopadhyay, K. Structural Evolution and Phase Stability of Hume-Rothery Phase in a Mechanically Driven Nanostructured Ag-15 at. pct Sn Alloy. Metall Mater Trans A 45, 1148–1160 (2014). https://doi.org/10.1007/s11661-013-2057-4

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