Dendritic shapes for various crystalline symmetries: theory, modeling and experiment
Abstract
Abstract This study develops the Geometrically Morphological Theory (Toropova et al. in Acta Mater 296:121232, 2025) to describe the shapes of dendritic tips, stems, and envelopes for various tip functions. Analytical expressions derived from the theory demonstrate strong agreement with the experimental data for dendrites exhibiting four- and six-fold crystalline symmetries. The analysis highlights the distinct asymptotic behaviors of two shape functions, $$z_\textrm{TIP}(x)$$ z TIP ( x ) and $$z_\textrm{TIP}^\textrm{new}(x)$$ z TIP new ( x ) , characterizing the tip region.
Fields of Study & Subjects
Quasicrystal Structures and Properties
Solidification and crystal growth phenomena
Theoretical and Computational Physics
Publication details
- Journal / source
- The European Physical Journal Special Topics
- Publisher
- Springer Science and Business Media LLC
- Volume
- 235
- Issue
- 22
- Pages
- 4883–4891
- Publication date
- 9 January 2026
- Language
- EN