Laboratory for Mathematical Modelling
of Environmental and Technological Processes

C. Stelian, T. Duffar

Modeling Czochralski Growth of Oxide Crystals for Piezoelectric and Optical Applications


Numerical modeling is applied to investigate the impact of crystal and crucible rotation on the flow pattern and crystal-melt interface shape in Czochralski growth of oxide semi-transparent crystals used for piezoelectric and optical applications. Two cases are simulated in the present work: the growth of piezoelectric langatate (LGT) crystals of 3 cm in diameter in an inductive furnace, and the growth of sapphire crystals of 10 cm in diameter in a resistive configuration. The numerical results indicate that the interface shape depends essentially on the internal radiative heat exchanges in the semi-transparent crystals. Computations performed by applying crystal/crucible rotation show that the interface can be flattened during LGT growth, while flat-interface growth of large diameter sapphire crystals may not be possible.

Full paper

Proceedings of the VIII International Scientific Colloquim "Modelling for Materials Processing", Riga, Latvia, (2017), pp. 43-48.