We propose a simple model to describe the cavitation-induced breakage of mesoscale filaments during their sonication in solution. The model predicts a limiting length below which scission no longer occurs. This characteristic length is a function of
the tensile strength and diameter of the filament, as well as the solvent viscosity and cavitation parameters. We show that the model predicts accurately experimental results for materials ranging from carbon nanotubes to protein fibrils, and discuss the use of sonication-induced breakage as a probe for the strength of nanostructures.
We develop two new amphiphilic molecules that are shown to act as efficient surfactants for carbon nanotubes in non-polar organic solvents. The active conjugated groups, which are highly attracted to graphene nanotube surface, are based on pyrene and
porphyrin. We show that relatively short (C18) carbon tails are insufficient to provide stabilization. As our ultimate aim is to disperse and stabilize nanotubes in siloxane matrix (polymer and crosslinked elastomer), both surfactant molecules were made with long siloxane tails to facilitate solubility and steric stabilization. We show that pyrene-siloxane surfactant is very effective in dispersing multi-wall nanotubes, while the porphyrin-siloxane is making single-wall nanotubes soluble, both in petroleum ether and in siloxane matrix.
We carry out a detailed deuterium NMR study of local nematic ordering in polydomain nematic elastomers. This system has a close analogy to the random-anisotropy spin glass. We find that, in spite of the quadrupolar nematic symmetry in 3-dimensions re
quiring a first-order transition, the order parameter in the quenched ``nematic glass emerges via a continuous phase transition. In addition, by a careful analysis of the NMR line shape, we deduce that the local director fluctuations grow in a critical manner around the transition point. This could be the experimental evidence for the Aizenman-Wehr theorem about the quenched impurities changing the order of discontinuous transition.
