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Simulation of the temperature distribution in crystals grown by Czochralski methodProduction of perfect crystals, free of residual strain and dislocations and with prescribed dopant concentration, by the Czochralski method is possible only if the complex, interacting phenomena that affect crystal growth in a Cz-puller are fully understood and quantified. Natural and forced convection in the melt, thermocapillary effect and heat transfer in and around the crystal affect its growth rate, the shape of the crystal-melt interface and the temperature gradients in the crystal. The heat transfer problem in the crystal and between the crystal and all other surfaces present in the crystal pulling apparatus are discussed at length. A simulation and computer algorithm are used, based on the following assumptions: (1) only conduction occurs in the crystal (experimentally determined conductivity as a function of temperature is used), (2) melt temperature and the melt-crystal heat transfer coefficient are available (either as constant values or functions of radial position), (3) pseudo-steady state is achieved with respect to temperature gradients, (4) crystal radius is fixed, and (5) both direct and reflected radiation exchange occurs among all surfaces at various temperatures in the crystal puller enclosure.
Document ID
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Dudokovic, M. P.
(Washington Univ. Saint Louis, MO, United States)
Ramachandran, P. A.
(Washington Univ. Saint Louis, MO, United States)
Date Acquired
August 12, 2013
Publication Date
August 15, 1985
Publication Information
Publication: JPL Proceedings of the Flat-Plate Solar Array Project Workshop
Subject Category
Solid-State Physics
Accession Number
Distribution Limits
Work of the US Gov. Public Use Permitted.
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