Table of Contents
ISRN Nanomaterials
Volume 2013, Article ID 651576, 8 pages
Research Article

Wagner-Vengrenovich Distribution

Yuriy Fedkovych Chernivtsi National University, 2, Kotsyubynsky St., Chernivtsi 58012, Ukraine

Received 24 April 2013; Accepted 22 May 2013

Academic Editors: M. R. Ferreira, A. Fidalgo, and A. Ohtaka

Copyright © 2013 Bohdan V. Ivanskii et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.