Hostname: page-component-8448b6f56d-c4f8m Total loading time: 0 Render date: 2024-04-24T12:29:46.076Z Has data issue: false hasContentIssue false
  • English
  • Français

Grain Boundary Diffusion Controlled Precipitation as a Model For thin Film Reactions

Published online by Cambridge University Press:  21 February 2011

K. Barmak  and
K.K. Coffey
K. Barmak
Affiliation:
Department of Materials Science and Engineering, Lehigh University, 5. E. Packer Ave., Bethlehem, PA 18015
K.K. Coffey
Affiliation:
IBM, ADSTAR, 5600 Cottle Rd., San Jose, CA 95193
Get access

Abstract

In order to arrive at a model for nucleation in the reaction of polycrystalline thin films, we have made use of a transport model that combines atom transport across interface reaction barriers with transport along grain boundaries. Through this transport model, the boundary chemical potential, μIi, and a characteristic length Li for each specie are defined. Li and the ratio of grain size to Li determine the spatial variation and the time evolution of the boundary chemical potential respectively. Nucleation of the product phase is modeled as a process whose driving force is determined by these position dependent (and time dependent) boundary chemical potentials. Thus thin film reactions become similar to precipitation from bulk homogeneous supersaturated solid solutions. Numerical calculations, however, show that boundary diffusion results in low “effective” driving forces for nucleation which can lead to heterogeneous nucleation of even the first phase. The model provides a new approach to phase selection by re-evaluation of the driving force and considers the effect of product and reactant grain structure to be fundamental to the reaction process.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 311: Symposium O – Phase Transformations in Thin Films–Thermodynamics and Kinetics , 1993 , 51
Copyright
Copyright © Materials Research Society 1993

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1. Thomas, O., Peterson, C.S., d'Heurle, F.M., Appl. Surf. Sci. 53, 138 (1991)Google Scholar
2. d'Heurle, F.M., J. Mater. Res. 3, 167 (1988)Google Scholar
3. Coffey, K.R., Barmak, K., Rudman, D.A., Foner, S., J. Appl. Phys. 72, 1341 (1992).Google Scholar
4. Coffey, K.R., Barmak, K., Rudman, D.A., Foner, S., Mater. Res. Soc. Proc. 230, 61 (1991).Google Scholar
5. Coffey, K. R., Clevenger, L.A., Barmak, K., Rudman, D.A., Thompson, C.V., Appl. Phys. Lett. 55, 852 (1989)Google Scholar
6. Ma, E., Thompson, C.V., Clevenger, L.A., J. Appl. Phys. 69, 2211 (1991).Google Scholar
7. Ma, E., Clevenger, L.A., Thompson, C.V., J. Mater. Res. 7, 1350 (1992).Google Scholar
8. Arcot, B., Clevenger, L.A., Murarka, S.P., Harper, J.M.E., Cabral, C. Jr., Mater. Res. Soc. Proc. 260, 947 (1992).Google Scholar
9. Coffey, K. R., Ph.D. Thesis, Massachusetts, Institute of Technology, Cambridge, 1989.Google Scholar
10. Barmak, K., Ph.D. Thesis, Massachusetts, Institute of Technology, Cambridge, 1989.Google Scholar
11. Coffey, K.R., Barmak, K., Acta. Metall. Mater., submitted for publication.Google Scholar
12. Sigsbee, R.A., Pound, G.M., Advan. Col. Interf. Sci. 1, 335 (1967).Google Scholar