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Branching Theory in Sol-Gel Processing

Published online by Cambridge University Press:  25 February 2011

Nikolaos A. Peppas
Affiliation:
School of Chemical Engineering, Purdue University, West Lafayette, Indiana 47907.
Alec B. Scranton
Affiliation:
School of Chemical Engineering, Purdue University, West Lafayette, Indiana 47907.
Andy H. Tsou
Affiliation:
School of Chemical Engineering, Purdue University, West Lafayette, Indiana 47907.
Dawn E. Edwards
Affiliation:
School of Chemical Engineering, Purdue University, West Lafayette, Indiana 47907.
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Abstract

The complex sequence of the hydrolysis/polymerization reaction of certain types of alkoxysilanes is modelled using a novel approach based on the branching theory. Network formation is described, resulting from the reaction of multifunctional oligomers. Expressions are derived for the critical silane conversion at the gel point, the molecular weight, and changes in the sol and gel fractions as a function of time.

Type
Research Article
Copyright
Copyright © Materials Research Society 1988

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References

Hench, L.L. and Ulrich, D.R., eds., Ultrastructure Processing of Ceramics, Glasses, and Composites (Wiley, New York, 1983).Google Scholar
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8. Pouxviel, J.C., Boilot, J.P., Beloeil, J.C. and Lallemand, J.V., J. Non-Crystalline Solids. 89, 345 (1987).CrossRefGoogle Scholar

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