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Advances in Condensed Matter Physics
Volume 2015 (2015), Article ID 501281, 5 pages
Research Article

Microscale Fragmentation and Small-Angle Scattering from Mass Fractals

1Joint Institute for Nuclear Research, Dubna 141980, Russia
2Horia Hulubei National Institute of Physics and Nuclear Engineering, 077125 Bucharest-Magurele, Romania

Received 21 April 2015; Revised 29 July 2015; Accepted 30 July 2015

Academic Editor: Fajun Zhang

Copyright © 2015 E. M. Anitas. 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.


Using the small-angle scattering method, we calculate here the mono- and polydisperse structure factor from an idealized fragmentation model based on the concept of renormalization. The system consists of a large number of fractal microobjects which are randomly oriented and whose positions are uncorrelated. It is shown that, in the fractal region, the monodisperse form factor is characterized by a generalized power-law decay (i.e., a succession of maxima and minima superimposed on a simple power-law decay) and whose scattering exponent coincides with the fractal dimension of the scatterer. The present analysis of the scattering structure factor allows us to obtain the number of fragments resulted at a given iteration. The results could be used to obtain additional structural information about systems obtained through microscale fragmentation processes.