Elementary Models of the “Flux Driven Anti-Ripening” During Nanobelt Growth
A stirring solution hydrothermal approach is widely used to rationally grow the elongated oxide nanostructures with controllable aspect ratios. Depending on synthesis conditions, (i) no nanostructure formation (the system exists as a pure liquid), (ii) formation of nanostructure starting from a critical powder/initial volume of liquid solution, and (iii) monotonic increase of nanostructure’s aspect ratio (towards asymptotic value) with stirring rate have been observed. Despite these experimental observations, the theoretical understanding of the process is limited. Herein, using athermal ballistic atomic jump model, we develop a phenomenological theory of nanostructure growth under different stirring rates demonstrating the conditions necessary for breaking equilibrium Wulff’s shape, the formation of elongated one-dimensional structures, and explain regimes (i-iii) reported experimentally. Moreover, the comparison of the phenomenological models without and with the account of ripening effects in the open ensemble of nanowires under stirring provides the theoretical guidance for controllable growth of elongated nanostructure by stirring solution hydrothermal approach.