Skip to main content

Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 114))

  • 444 Accesses

Abstract

Coverage evolution, during atomic deposition on a substrate may be described, on mesoscopic scales, by dynamical models of the reaction-diffusion type, which combine reaction terms representing chemical processes such as adsorption-desorption and nonlinear diffusion terms. Below a critical temperature, uniform deposited layers are unstable, which leads to the formation of nanostructures corresponding to regular spatial variations of substrate coverage. For increasing mean coverage close to one-half, the dynamics is of the Cahn-Hilliard type, and one should observe a succession of structures going from hexagonal arrays of high coverage dots, to stripes and finally to hexagonal arrays of low coverage dots. For mean coverage close to one, the nanostructures are highly nonlinear, and have to be obtained numerically. Structures obtained in the case of Al layers deposited on TiN substrates are presented. Comparisons between weakly and highly nonlinear structures are performed.

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 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
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. F. Abraham and G. White, J. Appl. Phys. 41, 1841 (1970).

    Article  Google Scholar 

  2. G.H. Gilmer and P. Bennema, J. Appl. Phys. 43, 1347 (1972).

    Article  CAS  Google Scholar 

  3. H. Huang, G.H. Gilmer and T. Diaz de la Rubia, “An Atomistic Simulator for Thin Film Deposition in Three Dimensions”, J. Appl. Phys. 84, 3636 (1998).

    Article  CAS  Google Scholar 

  4. Gao, H. and Nix, W.D., “Surface Roughening of Heteroepitaxial Thin Films”, Annual Review of Materials Science 29, 173 (1999).

    Article  CAS  Google Scholar 

  5. Léonard, F., Laradji, M. and Desai, R.C., “Molecular beam epitaxy in the presence of phase separation”, Phys.Rev. B 55, 1887 (1997).

    Article  Google Scholar 

  6. Léonard, F. and Desai, R.C., “Alloy decomposition and surface instabilities in thin films” Thys.Rev. B 57, 4805 (1998).

    Article  Google Scholar 

  7. Suo, Z. and Lu, W., “Self-organizing nanophases on a solid surface”, in Multiscale Deformation and Fracture in Materials and Structures, The James R. Rice 60th Anniversary volume, edited by T.J. Chuang and J.W. Rudnicki, Kluwer Academic Publishers, Dordrecht, 107–122 (2000)

    Google Scholar 

  8. Suo, Z. and Lu, W., “Forces that drive nanoscale self-assembly on solid surfaces”, Journal of Nanoparticle Research 2, 333–344 (2000).

    Article  CAS  Google Scholar 

  9. Ghoniem, N. M., Heinisch, H., Huang, H., Yip, S. and Yu, J., eds., Journal of Computer Aided Materials Design, Special Issue for Multiscale Materials Modeling Symposium of the 5th IUMRS, Kluwer, Dordrecht (1999).

    Google Scholar 

  10. Walgraef, D., “Nanostructure Initiation during the Early Stages of Thin Film Growth”, Physica E 15, 33 (2002).

    Article  CAS  Google Scholar 

  11. Walgraef, D., “Reaction-Diffusion approach to nanostructure formation during thin film deposition“, to appear, Phil. Mag. A.

    Google Scholar 

  12. Walgraef, D., “Spatio-Temporal Pattern Formation (with examples in physics, chemistry and materials science”, Springer Verlag, New York, 1996.

    Google Scholar 

  13. Verdasca, J., Borckmans, P. and Dewel, G., “Chemically frozen phase separation in an adsorbed layer”, Phys. Rev. E. 52, R4616 (1995).

    Article  Google Scholar 

  14. Walgraef, D. and Clerc, M.G., to appear.

    Google Scholar 

  15. Mishin, Y., Farkas, D., Mehl, M.J. and Papaconstantopoulos, D.A., “Interatomic potentials for monoatomic metals from experimental data and ab initio calculations“, Phys.Rev. B 59, 3393–3407 (1999).

    Article  CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2004 Springer Science+Business Media Dordrecht

About this paper

Cite this paper

Walgraef, D. (2004). Dynamics of Nanostructure Formation During Thin Film Deposition. In: Ahzi, S., Cherkaoui, M., Khaleel, M.A., Zbib, H.M., Zikry, M.A., Lamatina, B. (eds) IUTAM Symposium on Multiscale Modeling and Characterization of Elastic-Inelastic Behavior of Engineering Materials. Solid Mechanics and Its Applications, vol 114. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0483-0_40

Download citation

  • DOI: https://doi.org/10.1007/978-94-017-0483-0_40

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-6529-2

  • Online ISBN: 978-94-017-0483-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics