Abstract

A density functional study of the structure of a layer formed by chain molecules pinned to a solid surface is presented. The chains are modeled as freely joined spheres. Segments and all components interact via Lennard-Jones (12-6) potential. The interactions of fluid molecules with the wall are described by the Lennard-Jones (9-3) potential. We analyze how different parameters of the model affect the dependence of the brush height upon the mixture composition. We consider the effect of grafting density and the parameters characterizing the interactions of fluid molecules with the substrate and with the chains as well as interactions within the mixture. The changes in the brush height correlate with the adsorption of particular components.

Highlights

  • The solid surfaces modified with tethered chains have been extensively studied in recent years due to their importance for a wide range of technological processes, such as adhesion, colloidal stabilization, lubrication, drug delivery, nanotechnology and chromatography [1,2,3]

  • In our model the parameter ε∗2s characterizes the interactions of the k-th component with the solid surface

  • We demonstrate the effect of the selected parameters of the model on the relationship of the logarithm of the brush height upon the logarithm of the grafting density

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Summary

Introduction

The solid surfaces modified with tethered chains have been extensively studied in recent years due to their importance for a wide range of technological processes, such as adhesion, colloidal stabilization, lubrication, drug delivery, nanotechnology and chromatography [1,2,3]. In figure 1 we demonstrate the effect of the selected parameters of the model on the relationship of the logarithm of the brush height upon the logarithm of the grafting density. In the both figures we show the log-log plots of the brush height as a function of the grafting density calculated for different mixture compositions, x1b = 0.2 (solid lines) and x1b = 0.8 (dashed lines).

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