Transport Properties of Rodlike Particles

Abstract

Transport properties of rod-like particles." OTHER PADÉ APPROXIMANTSThe Padé approximants in Eq. 16 to Eq. 21 are probably accurate enough for most experimental work. In addition to these, we give the following approximants, which are more accurate but also more cumbersome. These have been developed for two separate regimes of aspect ratio, namely 1 A25 and 25A∞ . They have also been designed to fit together smoothly at the boundary A = 25. In all cases,x=log 10 A , t=ln A

Impact of Monovalent Counter-ions on the Conformation of Flexible Polyelectrolytes Having Different Molecular Architectures

“…We use the ratio of the hydrodynamic radius over the radius of gyration, R h /R g , which is an often used descriptor to quantify the shape of arbitrary objects; the calculation of R h is based on the friction coefficient of an arbitrary shaped Brownian particle [21,22]. The values of R h /R g for a smooth sphere is 1.29, for a random walk is 0.79, and for an infinite long rod is 0 [15,16]. In all cases, the linear chains become more anisotropic as M increases.…”

“…The error bars indicate two standard deviations. The dot-dashed lines correspond to the reference values of primary objects, for a smooth sphere is 1.29, for the rod with an aspect ratio of A = 1550 is 0.22 (see Figure), and for self-avoiding walks in θ-solvent is 0.79 [15,16]. …”

AFM study of hydrodynamics in boundary layers around micro- and nanofibers

“…The hydrodynamics of rodlike particles has attracted a great deal of attention due to its implication in many important issues such as the rheological properties of solutions of such objects (polymers and nanotubes) or in size measurements from light scattering experiments [2,4]. Approximate solutions have been proposed for ellipsoids and cylinders of given aspect ratio totally immersed in an infinite liquid bath [4,44]. Since in our case the effects of the meniscus and of the immersed end may be considered as constant during the dipping process, we considered the case of an infinite cylinder oscillating longitudinally in an infinite liquid bath.…”

In-Situ Structural Characterization of Single-Walled Carbon Nanotubes in Dispersion

“…By applying the numerical path integration technique, Douglas et al (Mansfield & Douglas, 2008) presented an accurate expression for the intrinsic viscosity of cylinders applicable to a broad range of aspect ratios (2.72 < A < ∞), which is: …”

“…(2) (Mansfield & Douglas, 2008), the relationship given by Eq. (3) overestimates the intrinsic viscosity by 12% or more for the rods with aspect ratio below 100.…”