Skip to main content

The Role of Diffusion in Step Flow Growth

  • Chapter
Surface Diffusion

Part of the book series: NATO ASI Series ((NSSB,volume 360))

Abstract

The role of diffusion in determining the condition for step flow growth is discussed. The steady-state, non-equilibrium adatom concentration during step flow is derived for the case that steps are imperfect, asymmetric sinks. Asymmetry caused by a step edge diffusion barrier is considered explicitly. This result can be used to calculate the critical terrace width for step flow growth. Experimental results obtained with low energy electron microscopy reveal an Arrhenius behaviour of the critical terrace width for Si/Si(111) (7×7) step flow growth. In the homogenous nucleation regime, the temperature dependence of the critical terrace width on Si(111) (7×7) is dominated by the diffusion energy.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 299.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 379.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 379.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. W.K. Burton, N. Cabrera and F.C. Frank, Phil. Trans. Roy. Soc. (London) 243A, 299 (1951).

    MathSciNet  ADS  Google Scholar 

  2. E.Z. Luo, W.F. Chung, Q. Cai, B.G. Orr and M.S. Altman, Phys. Rev. B (accepted for publication).

    Google Scholar 

  3. K. Sakamoto, K. Miki, T. Sakamoto, J. Cryst. Growth 99, 510 (1990).

    Article  ADS  Google Scholar 

  4. S. Iwanari, Y. Kimura and K. Takayanagi, J. Cryst. Growth 119, 229 (1992).

    Article  ADS  Google Scholar 

  5. M.S. Altman, W.F. Chung, T. Franz, Surf. Rev. Lett. (accepted for publication).

    Google Scholar 

  6. S. Iwanari and K. Takayanagi, J. Cryst. Growth 119, 241 (1992).

    Article  ADS  Google Scholar 

  7. Y. Kajikawa, M. Hata, T. Isu and Y. Katayama, Surf. Sci. 265, 241 (1992).

    Article  ADS  Google Scholar 

  8. M. Hata, T. Isu, A. Watanabe and Y. Katayama, J. Cryst. Growth 114, 203 (1991).

    Article  ADS  Google Scholar 

  9. J. Vrijmoeth, H.A. van der Vegt, J.A. Meyer, E. Vlieg, and R.J. Behm, Phys. Rev. Lett. 72, 3843 (1994).

    Article  ADS  Google Scholar 

  10. Y. Li and A. DePristo, Surf. Sci. 351, 189 (1996).

    Article  ADS  Google Scholar 

  11. L. Schwoebel and E.J. Shipsey, J. Appl. Phys. 37, 3682 (1966).

    Article  ADS  Google Scholar 

  12. R.L. Schwoebel, J. Appl. Phys. 40, 614 (1969).

    Article  ADS  Google Scholar 

  13. G.S. Bales and A. Zangwill, Phys. Rev. B 41, 5500 (1990).

    Article  ADS  Google Scholar 

  14. M.D. Johnson, C. Orme, A.W. Hunt, D. Graff, J. Sudijono, L.M. Sander and B.G. Orr, Phys. Rev. Lett. 72, 116 (1994).

    Article  ADS  Google Scholar 

  15. B. Voightlander, A. Zinner, T. Weber, H.P. Bonzel, Phys. Rev. B 51, 7583 (1995).

    Article  ADS  Google Scholar 

  16. M.S. Altman and W.F. Chung (to be published).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1997 Springer Science+Business Media New York

About this chapter

Cite this chapter

Altman, M.S. (1997). The Role of Diffusion in Step Flow Growth. In: Tringides, M.C. (eds) Surface Diffusion. NATO ASI Series, vol 360. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-0262-7_20

Download citation

  • DOI: https://doi.org/10.1007/978-1-4899-0262-7_20

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4899-0264-1

  • Online ISBN: 978-1-4899-0262-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics