Hostname: page-component-7bb8b95d7b-dvmhs Total loading time: 0 Render date: 2024-09-18T08:23:41.704Z Has data issue: false hasContentIssue false

Spatial Localization of the Nucleation Rate in Deeply Undercooled Liquids

Published online by Cambridge University Press:  17 March 2011

S. Bossuyt
Affiliation:
W.M. Keck Laboratory, California Institute of Technology, Pasadena, CA
W. L. Johnson
Affiliation:
W.M. Keck Laboratory, California Institute of Technology, Pasadena, CA
Get access

Abstract

In bulk metallic glass forming alloys cooled close to the critical cooling rate for glass formation, the nucleation density is observed to be spatially inhomogeneous; in an amorphous matrix there are spherical clusters with a high density of nanocrystals. This is attributed to the combined effect of recalescence due to the heat of crystallization and the fact that in deeply undercooled liquids the nucleation rate increases with increasing temperature.

A linear stability analysis of the non-linear differential equations describing nucleation and growth reveals that in the early stages of crystallization, stability is determined by the temperature dependence of the nucleation rate. When the nucleation rate increases with increasing temperature, fluctuations are amplified, resulting in “hot spots” where both the nucleation rate and the growth rate are higher.

Type
Research Article
Copyright
Copyright © Materials Research Society 2001

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

1. Lin, X. H. and Johnson, W. L., J. Appl. Phys. 78, 6514 (1995)Google Scholar
2. Schroers, J., private communicationGoogle Scholar
3. Hays, C. C., unpublished researchGoogle Scholar
4. Foley, J. C., Allen, D. R., and Perepezko, J. H., Scr. Mater. 35, 655 (1996)Google Scholar
5. Busch, R., Schneider, S., Peker, A., and Johnson, W. L., Appl. Phys. Lett. 67, 1544 (1995)Google Scholar
6. Schneider, S., Thiyagarajan, P., and Johnson, W. L., Appl. Phys. Lett. 68, 493 (1996)Google Scholar
7. Lffler, J. F. and Johnson, W. L., Appl. Phys. Lett. 76, 3394 (2000)Google Scholar
8. Kelton, K. F., Philos. Mag. Lett. 77, 337 (1998)Google Scholar