Abstract
In this chapter several mathematical models describing processes which take place in the Bridgman–Stockbarger (BS) and edge-defined film-fed growth (EFG) systems are presented. Predictions are made concerning the impurity repartition in the crystal in the framework of each of the models. First, a short description of the real processes which are modeled is given, along with the equations, boundary conditions, and initial values defining the mathematical model. After that, numerical results obtained by computations in the framework of the model are provided, making a comparison between the computed results and those obtained in other models, and with the experimental data.
Keywords
- Impurity Concentration
- Arbitrary Lagrangian Eulerian
- Impurity Distribution
- Marangoni Number
- Marangoni Convection
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- ACC:
-
annular capillary channel
- ALE:
-
arbitrary Lagrangian Eulerian
- ALE:
-
atomic layer epitaxy
- BS:
-
Bridgman–Stockbarger
- CCC:
-
central capillary channel
- CD:
-
convection diffusion
- EFG:
-
edge-defined film-fed growth
- MIT:
-
Massachusetts Institute of Technology
- MNSM:
-
modified nonstationary model
- MQSSM:
-
modified quasi-steady-state model
- MR:
-
melt replenishment
- MRM:
-
melt replenishment model
- MWRM:
-
melt without replenishment model
- NS:
-
Navier–Stokes
- NSM:
-
nonstationary model
- PDE:
-
partial differential equation
- PSSM:
-
pseudo-steady-state model
- QSSM:
-
quasi-steady-state model
- TSSM:
-
Tatarchenko steady-state model
- UDLM:
-
uniform-diffusion-layer model
- YAG:
-
yttrium aluminum garnet
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George, T.F., Balint, S., Braescu, L. (2010). Mass and Heat Transport in BS and EFG Systems. In: Dhanaraj, G., Byrappa, K., Prasad, V., Dudley, M. (eds) Springer Handbook of Crystal Growth. Springer Handbooks. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74761-1_40
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