Journal of Polymer Science Part B: Polymer Physics, Vol.33, No.11, 1573-1583, 1995
Determination of Optimized Blending Fractions for Particle-Size Distributions or Molecular-Weight Distributions Involving Various Physical-Properties
It has been shown in this study that the effects of particle size distribution or molecular weight distribution on selected physical properties can be related by a generalized blending approach that involves similar equations. The blending equations developed involve different z-fractions where z = 3 for volume blending of spherical particles, z = 2 for surface blending of spherical particles, or z = 1 for the weight blending of molecular weights. This new analysis approach addresses the magnitude of the ratios of particle size averages, D-x/D-y, or ratios of molecular weight averages, M(x)/M(y), as well as the location of this maximum, the level of distribution information available for the starting materials, and the type of z-fraction blending. To illustrate this approach suspension viscosity/concentration data was used to show how the D-x/D-y ratio could be introduced successfully to analyze latex volume blending where z = 3. In addition, the maximum steady-state elastic compliance, J(e), as a function of weighted blends (z = 1) of two different molecular weights of polyisobutylene was shown to fit the simple equation J(e) = 1.187 (M(3)/M(2))(M(4)/M(1)) reasonably well.