https://doi.org/10.1140/epjs/s11734-022-00513-w
Regular Article
Growth of spherical and ellipsoidal crystals in a metastable liquid
Department of Theoretical and Mathematical Physics, Laboratory of Multi-Scale Mathematical Modeling, Institute of Natural Sciences and Mathematics, Ural Federal University, Lenin ave., 51, 620000, Ekaterinburg, Russian Federation
Received:
3
May
2021
Accepted:
3
March
2022
Published online:
12
March
2022
In this paper, the growth rates of spherical and ellipsoidal crystals evolving in metastable melts and solutions are derived. Different scenarios and aspects of crystal growth (steady-state, unsteady-state, the phase transition temperature shift due to the curvature of the crystal surface and the kinetics of attaching atoms to it) are considered. The derived crystal growth laws under various process conditions are generalized and compared to experimental data.
© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2022