Kink incorporation and step propagation in a non-Kossel model

Dependence of the CaOx and MgOx growth rate on solution stoichiometry. Non-Kossel crystal growth

“…(9), because both frequencies w À1 and w À2 are positive and thus positive also have to be the g-term in Eq. (9). This discrepancy may hardly be ascribed to the $ 15% experimental error.…”

“…Each dependence may, indeed, be approximated by a straight line expected from Eq. (9). Making use of this linearity, we may roughly estimate the frequency factor, f, defined by Eq.…”

“…Depending on the crystal structure, the number of these positions per cell may be as much as $3-10 or even more, like in complex metal alloys. All crystals generating several types of kinks are called the non-Kossel crystals [2,9].…”

“…Correspondingly, the kink growth rate is proportional to C n ÀC e n rather than to CÀC e , where C and C e are actual and equilibrium molecular concentrations in solution [2]. The non-Kossel crystal step growth kinetics was Monte-Carlo simulated recently and showed a big discrepancy with the relevant Kossel step rate, especially at low driving force [9,10]. The non-Kossel crystal growth is the area that, as such, has received attention only recently and is far from being elaborated.…”

Birth-and-spread growth on the Kossel and a non-Kossel surface

“…Refs. [9] and [7] discuss the non-Kossel (0 0 1) surface in detail. Both papers show that the [1 0 0] step has a step energy of 1 0 0 ¼ 2f a and the [0 1 0] step an energy of 0 1 0 ¼ f p À f q .…”