Dynamics of liquid-encapsulated czochralski growth of gallium arsenide: Comparing model with experiment

P. D. Thomas, J. J. Derby, L. J. Atherton, R. A. Brown, M. J. Wargo

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Abstract

The dynamic thermal-capillary model developed previously [Derby, Atherton, Thomas and Brown, J. Sci. Computing 2 (1987) 297] is extended to model a low-pressure, liquid-encapsulated Czochralski system for growth of GaAs in an axial magnetic field that is strong enough that convective heat transport is unimportant. The model includes thermal conduction in all phases, a model for semi-transparent radiation through the B2O3 encapsulant and diffuse-gray radiation between the crystal, crucible and melt. Numerical simulations of seeding and growth are compared directly to experimental growth using a Hamco CG-800 puller modified for GaAs growth and equipped with a superconducting magnet capable of producing an axial magnetic field of up to 5 kG. The crystal shape predicted by the simulations is in semiquantitative agreement with the experiment. The calculations also predict optimum operating strategies for producing constant-diameter crystals, including the transients associated with seeding and shouldering the crystal.

Original languageEnglish (US)
Pages (from-to)135-152
Number of pages18
JournalJournal of Crystal Growth
Volume96
Issue number1
DOIs
StatePublished - May 1989

Bibliographical note

Funding Information:
This research was supported by the United States Defense Advanced Research Project Agency.

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