Kossel-Stranski theory

The Kossel-Stranski theory describes the crystal growth through electrostatic interactions on the surface of the corresponding crystal . The core message of the theory is that ions accumulate on a crystal surface exactly where the highest energy gain can be expected. The theory is named after the physicists Walther Kossel and Iwan Stranski .

Energetic consideration of the crystal growth

Imagine a one-dimensional chain of ions with alternately different electrical charges . Another ion is attached to this chain. The Coulomb interactions for the newly attached particle would then increase

${\displaystyle E_{\mathrm {Coulomb} }^{1D}={\frac {e^{2}}{r}}\left({\frac {1}{1}}-{\frac {1}{2}}+{\frac {1}{3}}-{\frac {1}{4}}+\ldots \right)={\frac {e^{2}}{r}}\ln {2}}$

surrender.

This procedure can be continued for the second and third dimensions accordingly. A statement about the crystal growth can be made on the basis of the resulting amounts of energy.

Individual evidence

1. ↑ Peter R. Sahm: Melt, solidification, interfaces. An introduction to the physics and technology of liquid and solid metals. Vieweg, Braunschweig 1999.