Journal ArticleDOI
Effects of rotation on Czochralski crystal growth
N. Riley,D.A. Sweet +1 more
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In this paper, the effects of both crystal and crucible rotation are included in a model of crystal growth from the melt, which is developed in terms of a small parameter based upon the Schmidt number.About:
This article is published in Journal of Crystal Growth.The article was published on 1979-10-01. It has received 7 citations till now. The article focuses on the topics: Seed crystal & Crystal.read more
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Crystal pulling using acrt
H.J. Scheel,H. Müller-Krumbhaar +1 more
TL;DR: In this paper, a method is formulated to apply the Accelerated Crucible and Crystal Rotation Technique (ACCRT) to the Czochralski method in order to produce crystals of improved homogeneity.
Journal ArticleDOI
Boundary layer models in Czochralski crystal growth
TL;DR: In this article, boundary layer theory is applied to the Czochralski crystal growth process, where the authors provide simplified analytical descriptions of the dopant, flow and temperature in specific regions of the melt.
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Model-predictive control of the Czochralski crystallization process. Part II. Reduced-order convection model
TL;DR: In this paper, a reduced-order model for the bulk-controller is proposed for convection in the melt based upon the assumption of an idealized flow geometry consisting of horizontal donuts and vertical tubes with radial and axial dispersion, respectively.
Journal ArticleDOI
The effect upon Czochralski growth of periodic modulation of the growth rate
TL;DR: In this article, the Czochralski growth system in the limits Sc, R → ∞, σ → 0, Δ → 0 is considered, where Sc is the Schmidt number, R is the Reynolds number of the liquid phase, Δ the Prandtl number, and Δ the ratio of the solution diffusivities in the liquid and solid phases.
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Transient phenomena in crystal growth systems
TL;DR: In this article, a re-examination and reinterpretation of earlier work by Burton, Prim and Slichter is presented, in which a transient analysis is performed following a discontinuous change of solute concentration in the bulk of the melt and two cases are considered, namely solid body rotation of crystal and melt and no melt rotation at large distances from the interface.
References
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The Distribution of Solute in Crystals Grown from the Melt. Part I. Theoretical
TL;DR: In this article, the incorporation of solute elements into single crystals of germanium grown from the melt is examined in terms of a simple model, which takes account of the contribution of the solute transport in the melt, owing to diffusion and fluid motion, to the over-all process of impurity incorporation during steady-state crystallization.
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Interface shape changes during the Czochralski growth of gadolinium gallium garnet single crystals
TL;DR: In this article, it was shown that interface shape changes, often induced during the growth of gadolinium gallium garnet single crystals in order to control defects, can occur naturally under specific conditions.
Related Papers (5)
The Numerical Analyses of the Solid-Liquid Interface Shape during Crystal Growth by the Czochralski Method. : Part II. Effects of the Crucible Rotation
Relationship between the hydrodynamics in the melt and the shape of the crystal/melt interface during Czochralski growth of oxide single crystals: II. Determination of the critical rotation rate from physical simulation data on growth in the presence of simultaneous free and forced convections; comparison with experimental data on crystal growth
V. Nikolov,K. Iliev,P. Peshev +2 more