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 language | English (US) |
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Pages (from-to) | 135-152 |
Number of pages | 18 |
Journal | Journal of Crystal Growth |
Volume | 96 |
Issue number | 1 |
DOIs | |
State | Published - May 1989 |
Bibliographical note
Funding Information:This research was supported by the United States Defense Advanced Research Project Agency.