Surface energy driven miscibility gap suppression during nucleation of III–V ternary alloys

Abstract

The existence of a miscibility gap limits the range of solid compositions which are possible to achieve under near-equilibrium growth conditions. Circumventing the miscibility gap is of paramount importance for...

Texturing Crystal Plane of Zinc Metal via Cleavage Fracture for a Dendrite-Free Zinc Anode

“…The FESEM images illustrate that the surface of ZCP (002) is covered with stepped-like slip planes (Figure c), which comes from cleavage fracture. During the fracture process, dislocations slip and accumulate to form cleavage planes, with high surface energy that can offset part of the energy required for zinc nucleation. − Therefore, zinc may tend to deposit along the uniform cleavage plane texture. However, the commercial Zn (101) surface is relatively smooth without exposed crystal planes as favorable nucleation sites (Figure d), indicating that the initial nucleation of zinc is difficult and localized. , In addition, the morphology of the zinc sheet only after heat treatment shows that this process only changes the grain size but does not endow with a (002) crystal texture, revealing that not the heat treatment but the cleavage fracture is the critical factor to conduct the crystal texture engineering on the zinc sheet (Figure S8).…”

Interfacial profile of axial nanowire heterostructures in the nucleation limited regime

“…To find them, one should simultaneously maximize the nucleus 𝑥 𝑠 formation energy , with respect to and minimize it with respect to , that is, solve the system 𝐹 𝑠 𝑥 of equations and to find the saddle point. Ignoring the composition ∂𝐹/𝑑𝑥 = 0 ∂𝐹/𝑑𝑠 = 0 dependence of the nucleus surface energy, 40 the liquid-solid composition dependence in the nucleation-limited regime 34 is given by…”

“…To find them, one should simultaneously maximize the nucleus formation energy F , with respect to s and minimize it with respect to x , that is, solve the system of equations ∂ F /d x = 0 and ∂ F /d s = 0 to find the saddle point. Ignoring the composition dependence of the nucleus surface energy, 40 the liquid–solid composition dependence in the nucleation-limited regime 34 is given bywith b being a coefficient which depends on the concentrations of all the elements in the liquid particle, the chemical potential differences for the pure components (Δ μ 0 AD and Δ μ 0 BD ), and the thermodynamic interaction parameters in the liquid (see ref. 34 for a full definition).…”

“…[37][38][39] The nucleation model describes the formation of the critical nucleus characterized by the chemical composition, x, and size, s. To find them, one should simultaneously maximize the nucleus formation energy F, with respect to s and minimize it with respect to x, that is, solve the system of equations ∂F/dx = 0 and ∂F/ds = 0 to find the saddle point. Ignoring the composition dependence of the nucleus surface energy, 40 the liquid-solid composition dependence in the nucleation-limited regime 34 is given by…”

Моделирование профиля состава осевой гетероструктуры InSb/GaInSb/InSb в нитевидных нанокристаллах

“…Далее мы используем приближение независимости поверхностной энергии зародыша от его состава [15]. Его влияние в случае лимитированного нуклеацией роста можно найти в [16]. Режим лимитированного нуклеацией роста предполагает, что состав монослоя x совпадает с составом критического зародыша и определяется уравнением [14,17]:…”