ABSTRACT
This chapter reviews the application of fractal geometry of carbon blacks with emphasis on the most recent developments. In conventional Euclidean geometry, a surface measurement is expressed as the power two and a volume as a power three of a length. Therefore, lengths, areas and volumes are characterized by the respective dimensions 1, 2 and 3. Small angle scattering by fractally rough surfaces has the potential to scale the surface geometry by the wavelength of the incident radiating source. Most geometry textbooks deal only with the manner in which a fractal dimension can be determined. The fractal geometry of surfaces has to be associated with either the thermodynamic properties, especially the adsorption phenomena, or the electrical or mechanical dynamics due to momentum transfer. The application of fractal geometry has led, as referenced work reflects, to a better understanding of the material carbon black and its interaction with polymers.
