Abstract
Silicon is the basic material which makes the functions of semiconductors possible. Most of the conveniences we take for granted would simply not have existed without this essential resource. The need for more and more complex devices increases the size of the device and the requirements on the quality of the material. Crystal quality will therefore be of utmost importance in the coming years as these trends continue to decrease the tolerance on wafer specifications. We present a mathematical model and numerical simulations which help to design the growth process in order to improve the crystal quality. A macroscopic model for heat transfer is therefore combined with a microscopic model for intrinsic point defect diffusion
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References
de Groot S. R., Mazur P. (1984) Non-equilibrium Thermodynamics, North-Holland, Amsterdam
Dornberger E. (1997) Prediction of OSF Ring Dynamics and Grown-in Voids in Czochralski Silicon Crystals. PhD Thesis, Universite Catholique de Louvain
Hurle D. T. J. (1983) Analytic Representation of the Shape of the meniscus in Czochralski Growth. J. Cryst. Growth 63, 13–17
Kurz M. R. H. (1998) Development of CrysVUN++, a Software System for Numerical Modelling and Control of Industrial Crystal Growth Processes. PhD Thesis, Universität Erlangen-Nürnberg
Schmidt A., Bänsch E. (1999) Simulation of dendritic crystal growth with thermal convection. Math. Tech. Report., Uni. Freiburg 4/1999
Schmidt A., Siebert K. G. (2000) ALBERT: An adaptive hierarchical finite element toolbox. Math. Tech. Report., Uni. Freiburg 6/2000
Sinno T. R. (1998) Defects in Crystalline Silicon: Intergated Atomistic and Continuum Modeling. PhD Thesis, MIT, Cambridge
Tiihonen T., Järvinen J., Nieminen R. (1997) Time-dependent simulation of Czochralski silicon crystal growth. J. Cryst. Growth 180, 468–476
Voronkow V. (1982) The mechanism of swirl defects formation in silicon. J. Cryst. Growth 59, 625–643
Wenzl H., Oates W. A., Mika K. (1994) Defect thermodynamics and phase diagrams in compound crystal. In: Hurle D. T. J. (Ed.) Handbook of Crystal Growth Vol. 1, Elesvier Science B.V., Amsterdam, 103–185
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© 2002 Springer-Verlag Berlin Heidelberg
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Voigt, A., Nitschkowski, J., Weichmann, C., Hoffmann, K.H. (2002). Controlling Point Defects in Single Silicon Crystals Grown by the Czochralski Method. In: Breuer, M., Durst, F., Zenger, C. (eds) High Performance Scientific And Engineering Computing. Lecture Notes in Computational Science and Engineering, vol 21. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55919-8_25
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DOI: https://doi.org/10.1007/978-3-642-55919-8_25
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-42946-3
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