Hostname: page-component-78c5997874-4rdpn Total loading time: 0 Render date: 2024-11-08T00:03:21.931Z Has data issue: false hasContentIssue false

Nucleation and growth of oxide precipitates in CZ–Si wafers

Published online by Cambridge University Press:  03 March 2011

Mitsuo Ataka
Affiliation:
National Institute of Bioscience and Human-Technology, Agency of Industrial Science and Technology, 1-1, Higashi, Tsukuba, Ibaraki 305, Japan
Tomoya Ogawa
Affiliation:
Department of Physics, Gakushuin University, Mejiro, Tokyo 171, Japan
Get access

Abstract

When NB is moles of oxygen atoms dissolved into an Si wafer of NA moles, the concentration of oxygen atoms in the Si wafer is given by mole fraction as XB = NB/(NA + NB), and the degree of supersaturation is defined by σ = (XB/XBS,T) – 1 where XBS,T is the mole fraction of the saturated state at temperature T. We have proved that σ is equal to the chemical potential difference of oxygen atoms in between saturated and supersaturated states if σ ≪ 1. Here the spontaneous generation rate is proportional to σγ, where γ is the number of the oxygen atoms in the critical oxide particles in the Si wafers. Duration time of a low temperature heating (at about 700 °C) will determine the number of nuclei for oxide precipitates, and a treatment near 950 °C is very effective on growth of oxide particles, because growth of the oxide particles is determined by diffusion of the atoms. Before the low temperature treatments, preheating at a temperature higher than 1000 °C is effective in dissolving Si–O pairs and making interstitial oxygen atoms, where the Si–O pairs have been generated by the cooling stage after the crystal growth.

Type
Articles
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

1Glasstone, S., Laidler, K. J., and Eyring, H., The Theory of Rate Processes (McGraw-Hill, New York, 1941).Google Scholar
2Ogawa, T., Jpn. J. Appl. Phys. 16, 689 (1977) and J. Cryst. Growth 56, 151 (1982).Google Scholar
3Hirano, E. and Ogawa, T., J. Cryst. Growth 51, 113 (1981).Google Scholar
4Ataka, M. and Asai, M., Biophys. J. 58, 807 (1990); Bessho, Y., private communication.CrossRefGoogle Scholar
5Elgersma, A. V., Ataka, M., and Katsura, T., J. Cryst. Growth 122, 31 (1992).CrossRefGoogle Scholar
6Kiner, S. H., Bergholz, W., Binns, M. J., Booker, G. R., Hutchison, J. C., Kinder, S. H., Messoloras, S., Newman, R. C., Stewart, R. J., and Wilkes, J. G., Philos. Mag. B 59, 499 (1989).Google Scholar
7Osaka, J., Inoue, N., and Wada, K., Appl. Phys. Lett. 36, 288 (1980).CrossRefGoogle Scholar