This book addresses the basic physical phenomenon of small-angle scattering (SAS) of neutrons, x-rays or light from complex hierarchical nano- and micro-structures. The emphasis is on developing theoretical models for the material structure containing self-similar or fractal clusters. Within the suggested framework, key approaches for extracting structural information from experimental scattering data are investigated and presented in detail. The range of parameters which can be obtained pave the road towards a better understanding of the correlations between geometrical and various physical properties (electrical, magnetic, mechanical, optical, dynamical, transport etc.) in fractal nano- and micro-materials.

Provides a unique in-depth description of the structure of self-similar systems at nano and micro scales Brings together stochastic and deterministic approaches to address the much debated issue of fractal modeling Offers step-by-step instructions on how to extract structural parameters from small-angle scattering data

Autorentext

Eugen Anitas received his PhD in theoretical physics from West University of Timisoara, Romania in 2009. He is currently leading the Theory of Solid State and Models in Condensed Matter group in Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, Russia. His main research interests are focused on theoretical and experimental structural analysis of complex systems at the nano- and micro-scales.

Inhalt
Introduction.- Fractals: definitions and generation methods.- Small-angle scattering technique.- Small-angle scattering from fractals.- Conclusions and Outlook.