Hostname: page-component-8448b6f56d-tj2md Total loading time: 0 Render date: 2024-04-19T06:52:45.479Z Has data issue: false hasContentIssue false

Unified Model for Ballistic Transport and Gas-Solid Reactions in Features

Published online by Cambridge University Press:  25 February 2011

T. S. Cale
Affiliation:
Department of Chemical, Bio & Materials Engineering and Center for Solid State Electronics Research, Arizona State University, Tempe, AZ 85287-6006
G. B. Raupp
Affiliation:
Department of Chemical, Bio & Materials Engineering and Center for Solid State Electronics Research, Arizona State University, Tempe, AZ 85287-6006
T. H. Gandy
Affiliation:
Department of Chemical, Bio & Materials Engineering and Center for Solid State Electronics Research, Arizona State University, Tempe, AZ 85287-6006
Get access

Abstract

The three dimensional equations which govern free molecular or ballistic transport and heterogeneous gas-solid reactions in features on patterned wafers during low pressure processing are reviewed. The governing equations specific to long rectangular trenches are extended to include nonuniform molecular velocity distributions in the source volume above the wafer as well as surface diffusion of adsorbed species or intermediates. Introduction of reaction stoichiometries and kinetic expressions for general deposition and etch reactions completes the specification of the problem. Local generalized sticking factors arise in the process of nondimensionalizing the governing equations.

Type
Research Article
Copyright
Copyright © Materials Research Society 1991

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. Cale, T. S. and Raupp, C. B., J. Vac. Sel. Technol., B8(4), 649(1990).Google Scholar
2. Cale, T. S. and Raupp, G. B., in Advanced Metallizations in Microelectronics, MRS Symposium Ser., Vol. 181, p.603, 1990.Google Scholar
3. Cale, T. S., Raupp, G. B. and Gandy, T. H., J. App. Physics, 68(7), 3645(1990).Google Scholar
4. Cale, T. S. and Raupp, G. B., J. Vac. Scd. Technol., B8(6), 1242(1990).Google Scholar
5. Cale, T. S., Gandy, T. H. and Raupp, G. B., J. Vac. Scd. Tech., A, accepted.Google Scholar
6. Cale, T. S., Gandy, T. H., Raupp, G. B. and Jain, M. K., accepted for publication in Workshop on Tungsten and Other Advanced Metals for ULSI ADnlications VI, Materials Research Society, Pittsburgh, PA, 1991.Google Scholar
7. Patterson, G. N., Introduction to the Kinetic Theory of Gas Flows. University of Toronto Press, 1971.Google Scholar
8. Froment, G. F. and Bischoff, K. B., “Chemical Reactor Analysis and Design”, 2nd edition, John Wiley & Sons, 1989.Google Scholar
9. Blech, I. A. and Plas, H. A. Van der, J.Appl. Phys., 54(6), 3489(1983).Google Scholar
10. Lii, Y.-J. T. and Jorne, J., J. Electro Chem. Soc., 137(9), 2837(1990).Google Scholar