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Scaling Theory for End-Functionalized Polymers Confined Between Two Surfaces

Published online by Cambridge University Press:  01 February 2011

Dmitri V. Kuznetsov
Affiliation:
Department of Chemical and Petroleum Engineering, University of Pittsburgh, Pittsburgh, PA 15261, U.S.A.Institute of Biochemical Physics, Russian Academy of Sciences, Moscow 117977, Russia.
Anna C. Balazs
Affiliation:
Department of Chemical and Petroleum Engineering, University of Pittsburgh, Pittsburgh, PA 15261, U.S.A.
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Abstract

Using scaling theory, we determine the equilibrium behavior of a melt of functionalized and non-functionalized polymers confined between two infinite, planar surfaces, which model clay sheets. The functionalized chains contain two end-groups (one at each chain-end) that are highly attracted to the surfaces. Through these calculations, we delineate the conditions for the formation of thermodynamically stable polymer/clay mixtures in terms of the end-group adsorption energy, volume fraction of the end-functionalized chains, and polymer chain lengths.

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