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Relation Between Temperature and Solidification Velocity inRapidly Cooled Liquid Silicon

Published online by Cambridge University Press:  25 February 2011

M. O. Thompson ,
P. H. Bucksbaum  and
J. Bokor
M. O. Thompson
Affiliation:
Cornell University, Ithaca, NY 14853
P. H. Bucksbaum
Affiliation:
AT&T Bell Laboratories, Murray Hill,NJ 07974
J. Bokor
Affiliation:
AT&T Bell Laboratories, Holmdel, NY 07733
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Abstract

A semi-empirical method to determine the undercooling-velocity relationshipfor laser induced melting is presented. The technique uses measurements ofmelt depth versus time to control numerical simulations, resulting in a mapof the interface temperature as a function of time, and consequently as afunction of the interface velocity. The results are independent of any modelfor the velocity-undercooling relationship. Results of the technique onsimulated and experimental melt depth data are presented. Transientconductance data on 28 nanosecond 694 nm laser irradiation of siliconindicate an undercooling-velocity slope of 17±3 K/(m/sec) near the meltingpoint. Picosecond optical transmission data show a much smaller slope.

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References

REFERENCES

1. Turnbull, D. and Cohen, M.H., in Modern Aspects of the Vitreous State, Vol. 1, MacKenzie, J.D., ed., (Butterworth, London, 1960) p. 38.Google Scholar
2. Baeri, P., Campisano, S.U., Foti, G. and Rimini, E., J. Appl. Phys. 50, 788 (1979); Wood, R.F. and Giles, G.E., Phys. Rev. B 23, 2923 (1981).Google Scholar
3. Poate, J.M. in Laser and Electron Beam Interactions with Solids, edited by Appleton, B.R. and Celler, G.K., (North Holland, New York, 1982), p. 121; Lowndes, D.H., Jellison, G.E. and Wood, R.F., Phys. Rev. B 56 6747 (1982).Google Scholar
4. Bucksbaum, P. H. and Bokor, J., Phys. Rev. Lett. 53, 182 (1984).Google Scholar
5. Larson, B. C., White, C. W., Noogle, T. S., Barhorst, J. F. and Mills, D. M., in Laser-Solid Interactions and Transient Thermal Processing of Materials, edited by Narayan, J., Brown, W. L. and Lemons, R. A., (North Holland, New York, 1983), p. 43.Google Scholar
6. Campisano, S. U., Appl. Phys. Lett. 45, 398.Google Scholar
7. Galvin, G. J. and Peercy, P. S., submitted Appl. Phys. Lett. Google Scholar
8. Vemuri, V. and Karplus, Walter J., Digital Computer Treatment of Partial Differential Equations (Prentice-Hall, New Jersey, 1981).Google Scholar
9. CRC Handbook of Chemistry and Physics (Chemical Rubber Company, Boca Raton, 1980); Thermal Conductivity of the Elements: A Comprehensive Review, Ho, C. Y., Powell, R. W. and Liley, P. E., J. Phys. Chem. Ref. Data 3 Supp. 1, 1–589 (1972). Optical constants are found in Jellison, G.E. and Modine, F. A., Appl. Phys. Lett. 41, 180 (1982); and Aspnes, D., Studna, A. A., and Kinstron, E., Phys. Rev. B 23, 768 (1984).Google Scholar
10. Thompson, Michael O., Ph.D.thesis, Cornell University, Ithaca, NY, 1984.Google Scholar
11. Thompson, M. O. and Galvin, G. J., in Laser-Solid Interactions and Transient Thermal Processing of Materials, edited by Narayan, J., Brown, W. L. and Lemons, R. A., (North Holland, New York, 1983), p. 57.Google Scholar