Skip to main content
Log in

Solid-State Diffusion of Bi in Sn: Effects of Anisotropy, Temperature, and High Diffusivity Pathways

  • Advances in Electronic Interconnection Materials
  • Published:
JOM Aims and scope Submit manuscript

Abstract

It has been determined that bismuth (Bi) stabilizes the mechanical properties of lead-free solder alloys over time and improves alloy reliability. This is caused by homogenization of the microstructure, driven by solid-state diffusion of Bi in the β-Sn matrix. It was previously determined that β-Sn grain orientation has little effect on the diffusivity at 125°C, and even low angle grain boundaries may convolute the relationship between orientation and diffusivity. In this work, several additional temperatures were considered, and similar effects of orientation on the diffusivity of Bi in Sn were observed. The simulation technique used to estimate diffusivity was applied to the previously discussed polycrystalline diffusion data, and temperature was found to strongly affect the ratio between lattice and polycrystalline diffusivity, due to the active nature of Sn-based systems. Finally, Harrison Type B kinetics were considered to study the effects of grain boundaries on the diffusivity of Bi in polycrystalline Sn.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1

Reprinted from Ref. 9

Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6

Similar content being viewed by others

References

  1. H. Ma, J. Suhling, Y. Zhang, P. Lall, and M.J. Bozack (2007) Electronic Components and Technology Conference Proceedings, pp. 653–658

  2. M. Hasnine, M. Mustafa, J.C. Suhling, B.C. Prorok, M.J. Bozack, and P. Lall, in 2013 Electronic Components and Technology Conference Proceedings (2013) pp. 168–178

  3. A. Delhaise, L. Snugovsky, D. Perovic, P. Snugovsky, and E. Kosiba, J. Surf. Mt. Technol. 27, 3 (2014).

    Google Scholar 

  4. A. Delhaise, D. Perovic, and P. Snugovsky, J. Surf. Mt. Technol. 30, 2 (2017).

    Google Scholar 

  5. J. Juarez, P. Snugovsky, E. Kosiba, Z. Bagheri, S. Subramaniam, M. Robinson, J. Heebink, J. Kennedy, and M. Romansky, J. Microelectron. Electron. Packag. 12, 1 (2015).

    Article  Google Scholar 

  6. A. Delhaise, D. Hillman, P. Snugovsky, J. Kennedy, R. Wilcoxon, D. Adams, S. Meschter, J. Juarez, M. Kammer, I. Straznicky, and D. Perovic, in 2017 SMTA International Conference Proceedings (2017) pp. 576–585

  7. D. Witkin, in APEX Expo Proceedings (2013), pp. 540–560

  8. A. Delhaise, P. Snugovsky, I. Matijevic, J. Kennedy, M. Romansky, D. Hillman, D. Adams, S. Meschter, J. Juarez, M. Kammer, I. Straznicky, L. Snugovsky, and D. Perovic, J. Surf. Mt. Technol. 31, 1 (2018).

    Google Scholar 

  9. A.M. Delhaise, Z. Chen, and D.D. Perovic, J. Electron. Mater. (2018). https://doi.org/10.1007/s11664-018-6621-y.

    Article  Google Scholar 

  10. B.-J. Lee, C.-S. Oh, and J.-H. Shim, J. Electron. Mater. 25, 6 (1996).

    Google Scholar 

  11. F.J. Humphreys and M. Hatherly, Recrystallization and Related Annealing Phenomena, 2nd ed. (Oxford: Elsevier, 2004), p. 293.

    Google Scholar 

  12. H. Mehrer, Diffusion in Solids—Fundamentals, Methods, Materials, Diffusion-Controlled Processes, 1st ed. (New York: Springer, 2007), p. 550.

    Google Scholar 

  13. A. Delhaise and D. Perovic, J. Electron. Mater. 47, 3 (2018).

    Article  Google Scholar 

  14. M.E. Glicksman, Diffusion in Solids: Field Theory, Solid-State Principles and Applications, 1st ed. (New York: Wiley, 2000), p. 175.

    Google Scholar 

  15. H. Mehrer, Diffusion in Solids—Fundamentals, Methods, Materials, Diffusion-Controlled Processes, 1st ed. (New York: Springer, 2007), p. 35.

    Google Scholar 

  16. M.E. Glicksman, Diffusion in Solids: Field Theory, Solid-State Principles and Applications, 1st ed. (New York: Wiley, 2000), p. 25.

    Google Scholar 

  17. P. Shewmon, Diffusion in Solids, 2nd ed. (Warrendale: The Minerals, Metals and Materials Society, 1989), pp. 42–46

  18. M.R. Spiegel, Schaum’s Outline of Theory and Problems of Vector Analysis and an introduction to Tensor Analysis (New York: McGraw-Hill, 1959), p. 16.

    Google Scholar 

  19. C. Herzig and Y. Mishin, Diffusion in Condensed Matter, ed. P. Heitjans and J. Karger (New York: Springer, 2005), p. 336.

    Google Scholar 

  20. P. Lejcek, Grain Boundary Segregation in Metals (New York: Springer, 2010), p. 135.

    Book  Google Scholar 

  21. M.P. Seah, Surf. Sci. 80, 8–23 (1979).

    Article  Google Scholar 

  22. C. Soong, P. Woo, and D. Hoyle, Microsc. Today 20, 6 (2012).

    Article  Google Scholar 

  23. WinWULFF (Stereogram, Stereographic Projection, Wulff-net, Simulation Software) (JCrystal). http://jcrystal.com/products/winwulff/. Accessed June 12th, 2017.

  24. Q. Zhang and J. Zhao, Intermetallics 34, 132 (2013).

    Article  Google Scholar 

  25. L. Zhu, Q. Zhang, Z. Chen, C. Wei, G. Cai, L. Jiang, Z. Jin, and J. Zhao, J. Mater. Sci. 52, 6 (2016).

    Google Scholar 

  26. Q. Zhang, Z. Chen, W. Zhong, and J. Zhao, Scr. Mater. 128, 41–44 (2017).

    Article  Google Scholar 

  27. S.A. Belyakov and C.M. Gourlay, Thermochim. Acta 654, 65–69 (2017).

    Article  Google Scholar 

  28. D.A. Porter and K.E. Easterling, Phase Transformations in Metals and Alloys, 2nd ed. (London: Chapman and Hall, 1992), p. 116.

    Book  Google Scholar 

  29. A. Sleeper, Minitab Demystified (New York: McGraw Hill, 2012), p. 137.

    Google Scholar 

  30. M.E. Glicksman, Diffusion in Solids: Field Theory, Solid-State Principles and Applications, 1st ed. (New York: Wiley, 2000), p. 256.

    Google Scholar 

  31. G. Neumann and C. Tujin, Self-Diffusion and Impurity Diffusion in Pure Metals, 1st ed. (Oxford: Pergamon Press, 2008), p. 173.

    Google Scholar 

  32. Cambridge University Press—The Structure of Materials (S018-beta-Sn). http://som.web.cmu.edu/structures/S018-beta-Sn.html. Accessed November 5th, 2016.

  33. P. Shewmon, Diffusion in Solids, 2nd ed. (Warrendale: The Minerals, Metals and Materials Society, 1989), p. 199.

    Google Scholar 

Download references

Acknowledgements

The authors would like to thank Dr. Yanan Liu from the Department of Earth Sciences at the University of Toronto for assistance with EPMA, as well as Harlan Kuntz from the Toronto Nanofabrication Center for support with sputter deposition. Finally, we acknowledge Diana Vucevic for annotating the stereographic projection for β-Sn, which aided in determining sample orientation indices. Financial assistance from the Department of Materials Science and Engineering, Ontario Graduate Scholarship, and the Refined Manufacturing Acceleration Process (ReMAP) are greatly appreciated.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to André M. Delhaise.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Delhaise, A.M., Chen, Z. & Perovic, D.D. Solid-State Diffusion of Bi in Sn: Effects of Anisotropy, Temperature, and High Diffusivity Pathways. JOM 71, 133–142 (2019). https://doi.org/10.1007/s11837-018-3145-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11837-018-3145-0

Navigation