2020
DOI: 10.3390/nano10010152
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Continuum Modelling for Interacting Coronene Molecules with a Carbon Nanotube

Abstract: The production of single dimensional carbon structures has recently been made easier using carbon nanotubes. We consider here encapsulated coronene molecules, which are flat and circular-shaped polycyclic aromatic hydrocarbons, inside carbon nanotubes. Depending on the radius of the nanotube, certain specific configurations of the coronene molecules can be achieved that give rise to the formation of stacked columns or aid in forming nanoribbons. Due to their symmetrical structure, a coronene molecule may be mo… Show more

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Cited by 5 publications
(3 citation statements)
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References 32 publications
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“…Therefore, we used mathematical modeling techniques that are necessary to formulate explicit analytical criteria and ideal model behaviour to complement the efforts of experimentalists. The interactions between various nanostructured materials have been widely determined using mathematical modeling [ 20 , 21 , 22 , 23 , 24 ]. The standard method for this modeling is to employ the Lennard–Jones potential together with the continuous approximation; which is assumed that the atoms are uniformly distributed over the surface of the molecules [ 20 ].…”
Section: Introductionmentioning
confidence: 99%
“…Therefore, we used mathematical modeling techniques that are necessary to formulate explicit analytical criteria and ideal model behaviour to complement the efforts of experimentalists. The interactions between various nanostructured materials have been widely determined using mathematical modeling [ 20 , 21 , 22 , 23 , 24 ]. The standard method for this modeling is to employ the Lennard–Jones potential together with the continuous approximation; which is assumed that the atoms are uniformly distributed over the surface of the molecules [ 20 ].…”
Section: Introductionmentioning
confidence: 99%
“…The excellent mechanical and electrical properties of carbon nanotubes (CNTs) have attracted significant attention from researchers. However, there is no widely accepted theory to model their mechanical properties [ 1 , 2 , 3 , 4 , 5 ]. In particular, the mechanical properties under combined physical fields (for example, temperature and electric field coupling) have not yet been thoroughly researched [ 5 , 6 , 7 ].…”
Section: Introductionmentioning
confidence: 99%
“…Apart from experimental studies, techniques used to model physisorption include molecular dynamics simulations [9][10][11][12], Monte Carlo methods [11,13,14] and continuum mathematical models [15][16][17][18] to name only a few. In particular, mathematical modeling of the interactions between various molecules and carbon surfaces has been extensive [19][20][21][22][23][24][25][26]. The standard approach for this modeling is to use the Lennard-Jones potential together with a continuum approximation [27], which assumes a uniform distribution of atoms over the surface of the molecule or throughout the volume of the molecule.…”
Section: Introductionmentioning
confidence: 99%