The elastic moduli of polymerically stabilized suspensions consisting of colloidal silica particles coated
with endgrafted PDMS (M
n = 80 000) in heptane, were measured as a function of concentration. And the
elastic modulus at high frequency
was quantitatively described by model calculations with microscopic
parameters. In the modeling of
we essentially followed the method of Elliott and Russel [Elliott, S. L.;
Russel, W. B. J. Rheology
1998, 42, 361]. To suit our case of strongly curved polymer layers, we made
adaptations in the description of both the pair potential and hydrodynamic interactions. Anticipating that
the predicted
is sensitive to the modeling of the polymer brush, we explored two different models to
predict the pair potential and the polymer layer thickness: a numerical self-consistent field lattice model
[Wijmans, C. M.; Zhulina, E. B. Macromolecules
1993, 26, 7214] and an analytical method based on the
approach of Li and Witten [Li, H.; Witten, T. A. Macromolecules
1994, 27, 449]. The polymer models were
used separately in the model calculations for
with the magnitude of their parameters obtained from
(elaborate) characterizations of the particles. Both models result in a quantitative description of the
experimental
and thickness of the polymer layer.