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A Numerical Simulation of Nanostructure Formation Utilizing Electromigration

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Abstract

A numerical method to simulate nanostructure formation due to electromigration in passivated Al specimens is developed based on the governing parameter for electromigration damage, \( {\hbox{AFD}}^{\ast}_{\rm gen}. \) The nanostructure formation is influenced by conditions such as the current density and substrate temperature. The results of the simulations are verified through experiments, and good agreement between the simulations and experiments is found for changes in nanostructure volume. The simulation is expected to be useful for identifying effective conditions for nanostructure formation.

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References

  1. M.H. Huang, S. Mao, H. Feick, H. Yan, Y. Wu, H. Kind, E. Weber, R. Russo, P. Yang, Science 292, 1897 (2001).

    Article  PubMed  ADS  CAS  Google Scholar 

  2. Y. Cui, Z. Zhong, D. Wang, W.U. Wang, C.M. Lieber, Nano Lett. 3, 149 (2003).

    Article  ADS  CAS  Google Scholar 

  3. C.N.R. Rao, F.L. Deepak, G. Gundiah, A. Govindaraj, Progress in Solid State Chemistry 31, 5 (2003).

    Article  CAS  Google Scholar 

  4. Y.N. Xia, P.D. Wang, Y.G. Sun, Y.Y. Wu, B. Mayers, B. Gates, Y.D. Yin, F. Kim, H.Q. Yan, Advanced Mater. 15, 353 (2003).

    Article  CAS  Google Scholar 

  5. P. Chaudhari, J. Appl. Phys. 45, 4339 (1974).

    Article  ADS  CAS  Google Scholar 

  6. M. Saka, F. Yamaya, H. Tohmyoh, Scripta Mater. 56, 1031 (2007).

    Article  CAS  Google Scholar 

  7. T.H. Chuang, H.J. Lin, C.C. Chi, Scripta Mater. 56, 45 (2007).

    Article  CAS  Google Scholar 

  8. K. Chen, G.D. Wilcox, Phys. Rev. Lett. 94, 066104 (2005).

    Article  PubMed  ADS  Google Scholar 

  9. J. Böhm, C.A. Volkert, R. Mönig, T.J. Balk, E. Arzt, J. Electron. Mater. 31, 45 (2002).

    Article  ADS  Google Scholar 

  10. B-Z. Lee, D.N. Lee, Acta Mater. 46, 3701 (1998).

    Article  CAS  Google Scholar 

  11. J. Proost, L. Delaey, J. D’Haen, K. Maex, J. Appl. Phys. 91, 9108 (2002).

    Article  ADS  CAS  Google Scholar 

  12. H. Mori, H. Okabayashi, M. Komatsu, Thin Solid Films 300, 25 (1997).

    Article  ADS  CAS  Google Scholar 

  13. M. Saka, R. Ueda, J. Mater. Res. 20, 2712 (2005).

    Article  ADS  CAS  Google Scholar 

  14. M. Saka, R. Nakanishi, Mater. Lett. 60, 2129 (2006).

    Article  CAS  Google Scholar 

  15. H. Abé, K. Sasagawa, M. Saka, Int. J. Fract. 138, 219 (2006).

    Article  MATH  Google Scholar 

  16. S.H. Liu, C. Chen, P.C. Liu, T. Chou, J. Appl. Phys. 95, 7742 (2004).

    Article  ADS  CAS  Google Scholar 

  17. R. Kirchheim, U. Kaeber, J. Appl. Phys. 70, 172 (1991).

    Article  ADS  Google Scholar 

  18. R.V. Goldstein, M.E. Sarychev, D.B. Shirabaikin, A.S. Vladimirov, Y.V. Zhitnikov, Int. J. Frac. 109, 91 (2001).

    Article  CAS  Google Scholar 

  19. K. Sasagawa, M. Hasegawa, M. Saka, H. Abé, J. Appl. Phys. 91, 1882 (2002).

    Article  ADS  CAS  Google Scholar 

  20. K. Sasagawa, M. Hasegawa, M. Saka, H. Abé, J. Appl. Phys. 91, 9005 (2002).

    Article  ADS  CAS  Google Scholar 

  21. K. Sasagawa, M. Hasegawa, M. Saka, and H. Abé, Proceedings of InterPACK’01 (Kauai, Hawaii, USA, ASME, 2001), IPACK2001-15644.

  22. M. Saka, K. Kato, H. Tohmyoh, Y. Sun, J. Mater. Res., 23, 3122, (2008).

    Article  CAS  Google Scholar 

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Acknowledgement

This work was supported by a Grant-in-Aid for Scientific Research (S) 18106003.

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Correspondence to Kazuhiko Sasagawa.

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Sasagawa, K., Fukushi, S., Sun, Y. et al. A Numerical Simulation of Nanostructure Formation Utilizing Electromigration. J. Electron. Mater. 38, 2201–2206 (2009). https://doi.org/10.1007/s11664-009-0853-9

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  • DOI: https://doi.org/10.1007/s11664-009-0853-9

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