Universal Interrelation Between Measures of Particle and Polymer Size
Luis F. Vargas Lara, Marc L. Mansfield, Jack F. Douglas
The characterization of many objects often involves the determination of a basic set of particle size measures derived mainly from scattering and transport property measurements. For polymers, these basic properties often include the radius of gyration Rg, the hydrodynamic radius Rh, intrinsic viscosity [\eta], sedimentation coecient S, and for conductive particles the electric polarizability tensor \alpha_E and self-capacity C. It is often found that measurements of size often deviate from each other and from geometric estimates of particle size when the nanoparticle or polymer shape is complex, a phenomenon that greatly complicates both nanoparticle and polymer characterization. The cases of DNA, carbon nanotube materials, and dendrimers are concrete cases where this problem exists. In our view, this variability in size estimation is actually an opportunity for obtaining information about the particles or polymers that is otherwise dicult to obtain. The present work explores a general quantitative relation between \ alpha_E, C, and Rg for nanoparticles and polymers of general shape and the corresponding properties [\eta], Rh, and Rg utilizing a hydrodynamic-electrostatic property interrelation.
The Journal of Chemical Physics
transport property, polymers, nanoparticles, hydrodynamic radius, radius of gyration, electric polarizability, intrinsic viscosity