Reorienatational dynamics of cholesterol molecules in thin film surrounded carbon nanotube: Molecular dynamics simulations

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Abstract

We have made simulations of the system composed of single walled carbon nanotube (SWNT) surrounded by n=9, 13, 17 cholesterol (C27H46O) molecules. The mean square displacement, radial distribution function, diffusion coefficient, rotational and translational velocity correlations functions have been calculated for several temperatures. The qualitative interpretation of dynamics of cholesterol molecule in such specific environment is presented.

Introduction

The discovery of carbon nanotubes [1] has initiated a number of scientific investigations devoted to the study of their electrical, mechanical, optical, chemical and thermal properties [2], [3], [4], [5], [6], [7], [8]. Recently, however, there has been increasing activity in investigating small, finite-size SWNT-based mixture systems, because they are expected to exhibit interesting properties for nanotechnological applications [9], [10]. The experimental studies of these systems still encounter natural difficulties, that is why the computer simulation methods becoming valuable tools for exploratory research on these systems. In this paper, we present the computer simulation study (MD) [11] of a nanosize cluster composed of the single walled carbon nanotube (SWNT) surrounded by cholesterol (chol) molecules. Needles to say, that cholesterol plays an important role in mammals, especially humans body [12].

Section snippets

Simulation details

As a typical representative of the family of carbon nanotubes, the armchair (10, 10) nanotube [9] was chosen. The Lennard–Jones (L–J) interaction potential V between the carbon atoms of the nanotube and the sites (atoms) of the cholesterol molecule (Fig. 1) as well as between cholesterol sites was applied.

The L–J potential energy is given by the formulaV(rij)=4ε[(σrij)12(σrij)6]where ε is the minimum of the potential at a distance of 21/6σ, kB is the Boltzmann constant and rij is the distance

Results

MD simulations for three concentrations of SWNT-cholesterol mixture cluster SWNT(chol)9, SWNT(chol)13 and SWNT(chol)17 are presented. We made the simulations for several temperatures, beginning from the solid phase at T=250 K and ending at hot liquid phase around T=650 K, since the cluster vaporised at higher temperatures.

The calculated translational velocity autocorrelation function Cv(t)=v(t)v(0)·v(0)v(0)1 of (C27H46O), where v(t) is the translational velocity of cholesterol

Acknowledgement

This work was supported in part by Ministry of Education and Science, Grant No. 0047/H03/2006/30.

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