Mass Transfer Between Clusters Under Ostwald’s Ripening

Vengrenovich, R. D.; Ivanskii, B. V.; Moskalyuk, A. V.; Yarema, S. V.; Stasyk, M. O.

doi:10.5772/23351

Cited by 5 publications

(10 citation statements)

References 45 publications

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“…Note that the growth of the SEI islands is 2D in contrast to the 3D growth in the classical LSW theory [23] and related theories [24][25][26][27]. Vengrenovich et al [28,29] proposed a mechanism in which 3D growth of quantum dot was treated as 2D growth of disklike islands and considered radial 2D high-speed diffusion channels controlled by dislocation diffusion. Their analyses are essentially different from the model presented in this work, in which surface diffusion is the mechanism for mass transport.…”

Section: Growth Of Sei Islandsmentioning

confidence: 98%

A Thermodynamic Perspective for Formation of Solid Electrolyte Interphase in Lithium-Ion Batteries

Zhan

Shirpour

Yang

2015

Electrochimica Acta

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Section: Growth Of Sei Islandsmentioning

confidence: 98%

A Thermodynamic Perspective for Formation of Solid Electrolyte Interphase in Lithium-Ion Batteries

Zhan

Shirpour

Yang

2015

Electrochimica Acta

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“…Summarizing, it has been shown that the modified Lifshitz-Slyozov-Wagner (LSW) theory [4,5] can be applied to nanocluster systems. Theory of the Ostwald's ripening for alloys containing nanocrystalline phases must be assumed taking into account not only diffusion flow, , but also kinetic (Wagner's) one, , it has been shown, for alloys containing Al-Sc and Al(Sc, Zr), correspondingly, NCs Al For example, for = 10 −10 , one obtains = 3, 999999, = 5, 000000, = −3, 000000, = −0, 999999, = −0, 999999, = 0, 000464, = 0, 000473, = −0, 000462, and = 0, 0000002.…”

Section: Discussionmentioning

confidence: 99%

“…where is the part of flow in the total flow : = / and (1 − ) is the part of flow in the total flow : 1 − = / . Taking into account that (4) and (5) for flows are valid for NCs of arbitrary radius , including NCs of the maximal size [4,5], one can rewrite (6) in the form…”

Section: Theoretical Partmentioning

confidence: 99%

“…In this connection, NC growth is considered in papers [4,5] as a result of combined action of two growing mechanisms, diffusion (ls) and Wagner's (w) ones. In the framework of the modified LSW theory and taking into account both mechanisms of growing (ls and w), we can obtain a size distribution in the form of the generalized Lifschitz-Slyozov-Wagner distribution [4].…”

Section: Introductionmentioning

confidence: 99%

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Wagner-Vengrenovich Distribution

et al. 2013

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The process of coarsening of nanoclusters or nanocrystals (NCs) is investigated for the case when cluster growth (dissolution) is governed simultaneously by both diffusion along dislocation pipes and the rate of formation of chemical connections (chemical reaction) at cluster surface, namely, Wagner’s growing mechanism. For that, the total flow of atoms to (from) a cluster is represented by two parts, namely, diffusion part and the Wagner (kinetic) one. The dependence of the rate of growth of NC on the ratio of the parts of the total flow has been determined as well as the NC’s size distribution function referred to as the Wagner-Vengrenovich distribution. Computed distribution is compared with experimentally obtained histograms.

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“…The modified LSW theory involves both ls and w mechanisms depending on the proportion between the diffusion j v and Wagner’s j i contribution into the total flux toward (outward) the nanocluster. , This means that the Ostwald ripening stage of NC growth can involve several (at least two) mechanisms and that the contribution of each of them depends on many parameters such as the nature of the NC’s material, the method of synthesis, temperature, etc. This is similar to formation of the lattice that is governed by separate contributions of different kinds of chemical bonds.…”

Section: Introductionmentioning

confidence: 99%

Size Distribution of Nanoparticles of ZnO and SnS in the Frame of Lifshits–Slezov–Wagner Modified Theory

et al. 2013

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A generalized Lifshits−Slezov−Wagner distribution for nanoclusters or nanocrystals growth according to two parallel mechanisms (Wagner and diffusion) has been used to explain a series of experimental histograms, which cannot be correctly related to the Wagner or the Lifshits− Slezov distribution separately. A process of the nanoclusters growth at the Ostwald ripening stage of the phase transformation in the solid systems can be correctly described using the generalized distribution of Lifshits−Slezov−Wagner. The Ostwald ripening stage is also present in a process of formation of a new semiconducting nanoclusters phase (phase transformation of the first type) during chemical synthesis of nanoclusters in the liquid medium. That is why the Lifshits−Slezov− Wagner theory can be used for analysis of the mechanism and kinetics of the ZnO and SnS nanoclusters formation from supersaturated solutions. The theory should be modified taking into account possible joined influences of both (Wagner and diffusion) mechanisms on the process of the growth of the nanoclusters. As a result, the SnS nanoclusters experimental histograms were found in good correlation with the generalized distribution of Lifshits−Slezov−Wagner at various values of x. The rate of the nanocluster's growth is controlled mostly by formation of new chemical bonds or a surface chemical reaction, which runs on the nanocluster's surface. The growth of the ZnO nanoclusters can be controlled by any of the Wagner's or diffusion mechanisms. The growth rate constants were estimated by means of comparison between experimental and theoretically calculated temporal changes in the average radii or average diameters of nanoclusters. These constants can be used to optimize technological conditions for synthesis of nanoclusters from supersaturated solutions. A method of evaluation of an important energetic parameter, specific surface energy, on the nanocluster/solvent interface is also proposed in this article.

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Mass Transfer Between Clusters Under Ostwald’s Ripening

Cited by 5 publications

References 45 publications

A Thermodynamic Perspective for Formation of Solid Electrolyte Interphase in Lithium-Ion Batteries

A Thermodynamic Perspective for Formation of Solid Electrolyte Interphase in Lithium-Ion Batteries

Wagner-Vengrenovich Distribution

Size Distribution of Nanoparticles of ZnO and SnS in the Frame of Lifshits–Slezov–Wagner Modified Theory

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