Tables 1 and 2 represent the corresponding

radius of gyration and diameter of aggregates and fractal dimensions.

A plot of the overall z-average root mean square

radius of gyration ([Rg.

2 (4) has shown a characteristic diffusion time for a polymer chain to diffuse a distance equal to its

radius of gyration.

where [empty set] is the Flory-Fox factor and is defined as the ratio of the hydrodynamic volume determined from the intrinsic viscosity to the root-mean-square

radius of gyration cubed [(< [R.

An interesting and often useful feature of a system that can be derived from the intensities of scattered light, as a function of scattering angle or scalar scattering vector (q) is its

radius of gyration ([R.

A commonly available measure of pervaded volume is the

radius of gyration [R.

The Guinier approach of scattering intensities relates the width of a Gaussian peak to the

radius of gyration of the so-called scattering particle (i.

On the other hand, the

radius of gyration of macromolecules is on the order of 10 nanometers, and it is expected that the macromolecules contacted to the solid silica would have different responses from those in the matrix because of the mechanical displacement resulting from elongation or strain.

In this work, it is assumed that as the interpenetration depth reaches 1/2 of the polymer's

radius of gyration at the critical molecular weight for chain entanglements.

At the reptation time, the average inter-penetration distance is equal to the

radius of gyration, the material has re-organized to erase the interface, and the weld achieves a strength equal to that of the virgin material.

The length of the weld-line can then be measured from this plot as the depth from the mold wall at which the interdiffusion distance becomes large enough to produce sufficient entanglements; this interdiffusion distance is commonly accepted to be 1/2 of the polymer's

radius of gyration (10).

2], the second virial coefficient; and [Mathematical Expression Omitted], or written as [Mathematical Expression Omitted], the z-average root-mean-square

radius of gyration.