Article: Use of a mathematical model to predict the effects of extenders on pigment dispersion in paint films. (Cover Story)

A mathematical model to predict the packing of particles in pigmented films has been developed. A Monte Carlo method is used to generate random positions in a box for spheres with a specified size distribution and desired volume concentration. The nearest neighbor distribution gives an indication of dispersion.

The results, for spheres clustered according to a Smoluchowski distribution, compare well with electron micrographs of pigmented films. This model has been used to study the effect of pigment crystal and particle size on dispersion. The results highlight the spacing advantages of a larger crystal size.

This approach has also been used to predict ...

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