A new hybrid method for the global modeling of convection in CZ crystal growth configurations

Fainberg, J.; Vizman, Daniel; Friеdrich, J.; Mueller, Gerhard O. W.

doi:10.1016/j.jcrysgro.2006.11.346

Cited by 30 publications

(29 citation statements)

References 21 publications

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“…In particular, we used the inner part including most all insulations as sketched in Figure 2 (middle part). Thermal boundary conditions in terms of temperatures and the distribution of heat sources in the iridium crucible are taken from an axisymmetric calculation using CrysMAS [34]. The final computation of thermal stress is done by applying the software tool comsol.…”

Section: Computationmentioning

confidence: 99%

Numerical Modelling of the Czochralski Growth of β-Ga2O3

et al. 2017

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Our numerical modelling of the Czochralski growth of single crystalline β-Ga 2 O 3 crystals (monoclinic symmetry) starts at the 2D heat transport analysis within the crystal growth furnace, proceeds with the 3D heat transport and fluid flow analysis in the crystal-melt-crucible arrangement and targets the 3D thermal stress analysis within the β-Ga 2 O 3 crystal. In order to perform the stress analysis, we measured the thermal expansion coefficients and the elastic stiffness coefficients in two samples of a β-Ga 2 O 3 crystal grown at IKZ. Additionally, we analyse published data of β-Ga 2 O 3 material properties and use data from literature for comparative calculations. The computations were performed by the software packages CrysMAS, CGsim, Ansys-cfx and comsol Multiphysics. By the hand of two different thermal expansion data sets and two different crystal orientations, we analyse the elastic stresses in terms of the von-Mises stress.

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Section: Computationmentioning

confidence: 99%

Numerical Modelling of the Czochralski Growth of β-Ga2O3

et al. 2017

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“…Here, we apply the sophisticated CrysMAS code developed by the Crystal Growth Laboratory of the Fraunhofer Institute of Integrated Systems and Device Technology (IISB) in Erlangen, Germany [15] to perform rigorous simulation of heat transfer in multi-zone Bridgman furnaces. While this promises a much greater degree of realism with respect to modeling furnace heat transfer, the drawback of this approach is that we do not fully represent the coupling of meniscus dynamics with the system.…”

Section: Modelmentioning

confidence: 99%

On favorable thermal fields for detached Bridgman growth

Stelian

Volz

Derby

2009

Journal of Crystal Growth

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The thermal fields of two Bridgman-like configurations, representative of real systems used in prior experiments for the detached growth of CdTe and Ge crystals, are studied. These detailed heat transfer computations are performed using the CrysMAS code and expand upon our previous analyses [14] that posited a new mechanism involving the thermal field and meniscus position to explain stable conditions for dewetted Bridgman growth. Computational results indicate that heat transfer conditions that led to successful detached growth in both of these systems are in accordance with our prior assertion, namely that the prevention of crystal reattachment to the crucible wall requires the avoidance of any undercooling of the melt meniscus during the growth run. Significantly, relatively simple process modifications that promote favorable thermal conditions for detached growth may overcome detrimental factors associated with meniscus shape and crucible wetting. Thus, these ideas may be important to advance the practice of detached growth for many materials.

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“…The iteration is repeated by following the sequence of computations starting with Eqs. (22) and (23). Convergence of the global problem is attained when a chosen norm of either Dy or r falls below a specified tolerance.…”

Section: Methodsmentioning

confidence: 96%

“…(22) and (23) with x Q m , y T m . These same solvers might be applied in reverse order, as well, with x T m , y Q m :…”

Section: Iteration Proceduresmentioning

confidence: 99%