Eur. Phys. J. Spec. Top. (2022) 231: 1129-1133
https://doi.org/10.1140/epjs/s11734-022-00519-4

Regular Article

Shape functions for dendrite tips of SCN and Si

¹ Laboratory of Mathematical Modeling of Physical and Chemical Processes in Multiphase Media, Ural Federal University, Lenin ave., 51, 620000, Yekaterinburg, Russian Federation
² Otto-Schott-Institut für Materialforschung, Friedrich-Schiller-Universität-Jena, 07743, Jena, Germany

^a l.v.toropova@urfu.ru

Received: 18 July 2021
Accepted: 3 March 2022
Published online: 11 March 2022

Abstract

In this work, a recently developed analytical theory describing dendrite tips growing in undercooled melts in the absence of convection is tested against experimental data of succinonitrile (SCN) and Si. It is shown as a result that the recently found shape function describes the region of the dendrite tip to some distance from its vertex well.