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Uphill diffusion of Si-interstitial during boron diffusion in silicon

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Abstract

The phenomenon of uphill diffusion has been considered because of its frequent appearance in multicomponent systems. Several studies have been carried out to recommend the treatment for uphill diffusion and it is found that the diffusion flux of any component coupled with its partner species is the cause of uphill diffusion. In this paper, a new diffusion equation system based on irreversible thermodynamics theory is presented. With the system, uphill diffusion in ternary systems in silicon (simultaneous diffusion of boron, Si-interstitial and vacancy in silicon) can be treated.

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References

  1. V B Dung Far East J. Dyn. Syst. 27 79 (2015)

    Article  MathSciNet  Google Scholar 

  2. V B Dung and B H Nguyen J. Phys. Conf. Ser. 726 012021 (2016)

    Article  Google Scholar 

  3. L S Darken Trans. AIME 174 184 (1948)

    Google Scholar 

  4. Y Oishi J. Chem. Phys. 43 1611 (1965)

    Article  ADS  Google Scholar 

  5. P Gupta and A Cooper Physica 54 39 (1972)

    Article  ADS  Google Scholar 

  6. M Dayananda and C Kim Metall. Trans. A 10 1333 (1979)

    Article  Google Scholar 

  7. J Anderson and J Agren J. Appl. Phys. 72 1350 (1992)

    Article  ADS  Google Scholar 

  8. Y Zhang, J. Geophys. Res. 98 11901 (1993)

    Article  ADS  Google Scholar 

  9. K Holly and M Danielewski Phys. Rev. B 50 13336 (1994)

    Article  ADS  Google Scholar 

  10. A Trial and F Spera Geochim. Cosmochim. Acta 58 3769 (1994)

    Article  ADS  Google Scholar 

  11. R Krishna and J Wesselingh Chem. Eng. Sci. 52 861 (1997)

    Article  Google Scholar 

  12. T Nishiyama Phys. Earth Planet. Inter. 107 33 (1998)

    Article  ADS  Google Scholar 

  13. R Duffy, V Venezia, A Heringa, T Husken, M Hustaken, M Cowern, P Griffin and C Wang Appl. Phys. Lett. 82 3647 (2003)

    Article  ADS  Google Scholar 

  14. S Emmanuel, A Cortis and B Berkowitz Chem. Phys. 302 21 (2004)

    Article  ADS  Google Scholar 

  15. E Watson and E Baxter Earth Sci. Lett. 353 307 (2007)

    Article  ADS  Google Scholar 

  16. R Krishna Chem. Soc. Rev. 44 2812 (2015)

    Article  Google Scholar 

  17. B Bożek, M Danielewski, K Tkacz-Śmiech and M Zajusz Mater. Sci. Technol. 31 1633 (2015)

    Article  Google Scholar 

  18. M Danielewski, M Zajusz, B Bożek and K Tkacz-Śmiech Defect Diffus. Forum 369 53 (2016)

    Article  Google Scholar 

  19. A C Lasaga Kinetic Theory in the Earth Sciences. (New Jersey: Princeton University Press) p 447 (1998)

    Google Scholar 

  20. I Prigogine Introduction to Thermodynamics of Irreversible Processes (New York: Interscience) (1967)

    MATH  Google Scholar 

  21. R E Howard and A B Lidiard Rep. Prog. Phys. 27 161 (1964)

    Article  ADS  Google Scholar 

  22. A F W Willoughby J. Phys. D: Appl. Phys. 10 476 (1977)

    Article  Google Scholar 

  23. H Bracht, N Stolwijk and H Mehrer Phys. Rev. B52 16542 (1995)

    Article  ADS  Google Scholar 

  24. H Gossman, C Rafferty, H Luftman, F Unterwald and T Boone Poate Appl. Phys. Lett. 63 639 (1993)

    Article  ADS  Google Scholar 

  25. S W Jones Diffusion in Silicon (Copyright 2000 IC Knowledge LLC—All rights reserved) (2008)

  26. S M Hu and S Schmidt J. Appl. Phys. 39 4272 (1968)

    Article  ADS  Google Scholar 

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Correspondence to Vu Ba Dung.

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Dung, V.B. Uphill diffusion of Si-interstitial during boron diffusion in silicon. Indian J Phys 91, 1233–1236 (2017). https://doi.org/10.1007/s12648-017-1024-0

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  • DOI: https://doi.org/10.1007/s12648-017-1024-0

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