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Transient kinetics of nucleation and crystallization: Part II. Crystallization

Published online by Cambridge University Press:  31 January 2011

G. Shi  and
J.H. Seinfeld
G. Shi
Affiliation:
Department of Chemical Engineering, California Institute of Technology, Pasadena, California 91125
J.H. Seinfeld
Affiliation:
Department of Chemical Engineering, California Institute of Technology, Pasadena, California 91125
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Abstract

Analytical expressions for the time-dependent crystallized volume fraction are derived from new results for the transient rate of nucleation reported in Part I. Conventional formulations that have been used in interpreting crystallization experimental data and for assessing the stability of amorphous phases are shown to be large time limits of the newly derived expressions. An approach for assessing the stability of an amorphous phase is proposed.

Type
Articles
Information
Journal of Materials Research , Volume 6 , Issue 10 , October 1991 , pp. 2097 - 2102
Copyright
Copyright © Materials Research Society 1991

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References

1. For example, Kuni, Y., Tabe, M., and Kajiyama, K., J. Appl. Phys. 54, L23 (1980); M. Tamura, H. Tamura, and T. Tokuyama, Jpn. J. Appl. Phys. 19, 2847 (1983); H. Ishiwara, A. Tamba, and S. Furukawa, Appl. Phys. Lett. 48, 733 (1986); H. Ishiwara, H. Yamamoto, and S. Furukawa, Appl. Phys. Lett. 43, 1028 (1983); T. Dan, H. Ishiwara, and S. Furukawa, Appl. Phys. Lett. 53, 2626 (1988); M. Miyao, M. Moniwa, K. Kusukawa, and W. Sinke, J. Appl. Phys. 64, 3018 (1983).Google Scholar
2.Korin, D. B., Reif, R., and Mikic, B., Thin Solid Films 167, 101 (1988); R. B. Inverson and R. Reif, J. Appl. Phys. 62,1675 (1987) and references therein.CrossRefGoogle Scholar
3.Roorda, S., Kammann, P., Sinke, W. C., Walle, G. F. A., and van, A. A.Gorkum, Mater. Lett. 9, 259 (1990).CrossRefGoogle Scholar
4.Gravesteijn, D. J., Appl. Opt. 27, 726 (1988); E. E. Marinero, Appl. Surf. Sci. 43, 117 (1989) and references therein.CrossRefGoogle Scholar
5.Uhlmann, D. R., J. Non-Cryst. Solids 25, 73 (1977).CrossRefGoogle Scholar
6.Avrami, M., J. Chem. Phys. 9, 177 (1941).CrossRefGoogle Scholar
7.Gutzow, I., Contemp. Phys. 21, 121 (1980).CrossRefGoogle Scholar
8.Gutzow, I., Kashchiev, D., and Avramov, I., J. Non-Cryst. Solids 73, 473 (1985).CrossRefGoogle Scholar
9.Shi, G. and Seinfeld, J. H., J. Mater. Res. 6, 2091 (1991).CrossRefGoogle Scholar
10. The value of τe can be obtained from the measured N(gd, t), as shown in Part I. τ can be estimated from the value of τe based on estimations of θ and g * Since τe/τ is a function of only θ and g* and is not very sensitive to and g*, as shown in Part I. τ3 can be obtained from measured (αt) since α(t) is a function only of, τ, τe, and τ3.Google Scholar
11.Inverson, R. B. and Reif, R., Appl. Phys. Lett. 52, 645 (1988).CrossRefGoogle Scholar
12. See reviews in Christian, J. W., The Theory of Phase Transformations in Metals and Alloys, 2nd ed. (Pergamon, Oxford, 1975).Google Scholar