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Aperiodic stepwise growth model for the velocity and orientation dependence of solute trapping

  • L. M. Goldman (a1) and M. J. Aziz (a2)
Abstract

An atomistic model for the dependence on interface orientation and velocity v of the solute partition coefficient k during rapid solidification is developed in detail. Starting with a simple stepwise growth model, the simple continuous growth model result is obtained for k(v) when the growth steps are assumed to pass at random intervals rather than periodically. The model is applied to rapid solidification of silicon. Crystal growth at all orientations is assumed to occur by the rapid lateral passage of (111) steps at speeds determined by the interface velocity and orientation. Solute escape is parametrized by a diffusion coefficient at the edge of the moving step and a diffusion coefficient at the terrace, far from the step edge. The model results in an excellent fit to data for the velocity and orientation dependence of k of Bi in Si.

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1Aziz M. J., Appl. Phys. Lett. 43, 552 (1983).
2Aziz M. J., Tsao J. Y., Thompson M. O., Peercy P. S., and White C. W., Phys. Rev. Lett. 56, 2489 (1986).
3Aziz M. J., J. Appl. Phys. 53, 1158 (1979).
4Aziz M. J. and White C. W., Phys. Rev. Lett. 57, 2675 (1986).
5Pfeiffer H., J. Cryst. Growth 52, 350 (1981).
6Mil'vidskii M. G. and Berkova A. V., Sov. Phys. Solid State 5, 374 (1963).
7Mullin J. B. and Hulme K. F., J. Phys. Chem. Sol. 17, 1 (1960).
8Hall R. N., J. Phys. Chem. 57, 836 (1953).
9Chernov A. A., in Growth of Crystals, edited by Shubnikov A. V. and Sheftal N. N. (Consultants Bureau, New York, 1962), Vol. 3, p. 35.
10Brice J. C., The Growth of Crystalsfrom the Melt (North-Holland, Amsterdam, 1965), pp. 6369.
11Cahn J. W., Coriell S. R., and Boettinger W. J., in Laserand Electron Beam Processing of Materials, edited by White C. W. and Peercy P. S. (Academic, New York, 1980), pp. 89103.
12Aziz M. J., Ph. D. thesis, Harvard University, 1983, pp. 7682.
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Journal of Materials Research
  • ISSN: 0884-2914
  • EISSN: 2044-5326
  • URL: /core/journals/journal-of-materials-research
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