Theoretical aspects of the growth of a non-Kossel crystal from vapours: the role of advacancies

Abstract

The growth of an arbitrary multicomponent non-Kossel crystal via the Burton–Cabrera–Frank mechanism is studied, considering the effect of advacancies and their recombination with adatoms on the surface. An analysis is...

Spiral growth of multicomponent crystals: theoretical aspects

“…Previous studies have established that mechanical stress may have a significant effect on crystal growth (Cabrera and Levine, 1956). In (Redkov and Kukushkin, 2022), it was demonstrated from a thermodynamic point of view that stress affects the Frontiers in Chemistry frontiersin.org growth of multicomponent crystals in the same way by reducing the effective supersaturation according to: ξ g (σ) ξ g (0)(1 − σω kBT ), where σ is the isotropic elastic stress and ω is the volume of the crystalline cell. This reduction factor can be crucial for the epitaxial growth of semiconductor or MOF-on-MOF heterostructures.…”

“…Another important factor is the emergence and diffusion of vacancies on the crystal surface, which can recombine with adatoms and significantly affect the crystal growth or evaporation (Hirth, 1965;Pimpinelli and Villain, 1994;Sitnikov et al, 2017;Kosolobov, 2019). In (Redkov et al, 2020b;Redkov and Kukushkin, 2022), the authors extended the BCF model to the multicomponent case and accounted for the formation of additional vacancies resulting from applied stress (see Figure 2C). In this case the characteristic diffusion length, which determines the growth rate, is limited by the lowest diffusion lengths of adatoms and advacancies due to evaporation and recombination (see Figure 2C).…”

Influence of Adatoms on the Vacancy Growth of Faceted Pores in a Crystal Under Mechanical Load

“…Let us also introduce an additional parameter . Using approaches from [18,20,28], we write an equation for the flow of vacancies from the bulk of the crystal to the surface and a similar one for adatoms arriving at the surface from the gas phase:…”

“…Since the process of growth of an ordinary crystal and a pore are similar, similarly to the effect of advacancies on the growth of a crystal, adatoms on the surface of a pore can affect the rate of its vacancy growth. This work is a continuation of a series of works devoted to the growth and evolution of crystals [11][12][13][25][26][27][28] and pores in single-and multicomponent systems due to various mechanisms, and its main goal is to analyze the effect of adatoms on the pore surface on its vacancy growth of the pore according to the Barton-Cabrera-Frank mechanism, and find an expression for the dependence of the pore growth rate on the applied mechanical load and the properties of the crystal.…”

Impact of Schwoebel Barriers on the Step-Flow Growth of a Multicomponent Crystal

“…In [40], the classical Burton-Cabrera-Frank theory was extended to the case of multicomponent crystals growing via chemical reactions. In [41], researchers studied the effect of advacancies present on the surface on multicomponent crystal growth. The effect of fast atomic steps on the growth surface was explored in [42], revealing the importance of considering this aspect, as different components exhibit varying surface mobility.…”