Anisotropy of step motion

Abstract

Using a kinetic equation method the growth rate of steps in dependence on the Jackson-Temkin factor, the deviation from equilibrium and the step orientation is determined. Diffusion processes within the step structure are included. The results obtained are compared with those of Monte-Carlo simulations. The method is generalized to non-Kossel crystal structures and applied to the growth rate anisotropy of steps on garnet (110)-surfaces. Unter Verwendung einer Methode der kinetischen Gleichungen wird die Wachstumsrate von Stufen in Abhingigkeit vom Jackson-Temkin-Faktor, der Oberschreitung und der Orientierung der Stufen bestimmt. Diffusionsprozesse innerhalb der Stufenstruktur sind eingeschlossen. Die erhaltenen Resultate werden mit jenen der Monte-Carlo-Simulation verglichen. Die Methode wird auf Nicht-Kossel-Kristalle verallgemeinert und auf die Anisotropie der Wachstumsrate von Stufen auf (110)-Granatfliichen angewendet.

Kink Density and Rate of Step Movement during Growth and Dissolution of anABCrystal in a Nonstoichiometric Solution

“…Our result as well as those detachment of ions from nonkink positions. The rate of kink obtained by stochastic models (39,40) and computer simulaformation can be calculated following the same procedure tion (44) suggest that step movement is significantly hinas for a supersaturated solution (Section 5). We denote a dered by kink formation no matter whether it can be considvacancy of A, AB, ABA, ABAB atoms as state (1A), (2), ered as a nucleation process.…”

“…In the paper of Burton and Cabrera (32), certain approximations. Thus, in the treatment of Voronkov (35), Temkin (36), and Pfeither (39,40), it was assumed the kink formation energy is calculated by considering the enthalpy changes when a block of atoms is removed from that no correlation existed between neighboring kinks, which was strictly valid only at equilibrium (11). Another simpliThe derivation of Frank was made for an irreversible process (43).…”

Jackson Factor and Growth Kinetics of Garnet LPE Films of Singular Orientation

“…5 calculated anisotropy curves for r = 1.3 and several y are shown in comparison with the experimental data of [lo]. We remark that in the vicinity of p w arctan r = 52.4" (1) is not correct because of the neglection of overhanging step configurations (see also [13]). This region represented by the broken lines in Fig.…”

Investigation of growth steps due to misorientation of garnet LPE films

“…5. Using elementary trigonometry the connection between the averaged kink height h and the inclination angle 6 reads (see [17]) sin 6 sin (01 + 6) ' h = .…”

“…7 klf is plotted versus the averaged kink height h, which is a measure of the step inclination. Here, k and f are taken from [17] and [15], respectively. It is seen that k / f is almost isotropic for y = 6 to 7.…”