Generalized method for constructing the atomic coordinates of nanotube caps

A practical numerical method for the rapid construction of nanotube caps is proposed. Founded upon the notion of lattice duality, the algorithm considers the face dual representation of a given nanotube which is used to solve an energy minimization problem analogous to The Thomson Problem. Not only...

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Main Authors: Robinson, M., Suarez-Martinez, Irene, Marks, Nigel
Format: Journal Article
Published: American Physical Society 2013
Online Access:http://hdl.handle.net/20.500.11937/20594
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author Robinson, M.
Suarez-Martinez, Irene
Marks, Nigel
author_facet Robinson, M.
Suarez-Martinez, Irene
Marks, Nigel
author_sort Robinson, M.
building Curtin Institutional Repository
collection Online Access
description A practical numerical method for the rapid construction of nanotube caps is proposed. Founded upon the notion of lattice duality, the algorithm considers the face dual representation of a given nanotube which is used to solve an energy minimization problem analogous to The Thomson Problem. Not only does this produce caps for nanotubes of arbitrary chirality, but the caps generated will be physically sensible and in most cases the lowest energy structure. To demonstrate the applicability of the technique, caps of the (5,5) and the (10,0) nanotubes are investigated by means of density-functional tight binding (DFTB). The calculation of cap energies highlights the ability of the algorithm to produce lowest energy caps. Due to the preferential construction of spherical caps, the technique is particularly well suited for the construction of capped multiwall nanotubes (MWNTs). To validate this proposal and the overall robustness of the algorithm, a MWNT is constructed containing the chiralities (9,2)@(15,6)@(16,16). The algorithm presented paves the way for future computational investigations into the physics and chemistry of capped nanotubes.
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spelling curtin-20.500.11937-205942017-09-13T15:58:57Z Generalized method for constructing the atomic coordinates of nanotube caps Robinson, M. Suarez-Martinez, Irene Marks, Nigel A practical numerical method for the rapid construction of nanotube caps is proposed. Founded upon the notion of lattice duality, the algorithm considers the face dual representation of a given nanotube which is used to solve an energy minimization problem analogous to The Thomson Problem. Not only does this produce caps for nanotubes of arbitrary chirality, but the caps generated will be physically sensible and in most cases the lowest energy structure. To demonstrate the applicability of the technique, caps of the (5,5) and the (10,0) nanotubes are investigated by means of density-functional tight binding (DFTB). The calculation of cap energies highlights the ability of the algorithm to produce lowest energy caps. Due to the preferential construction of spherical caps, the technique is particularly well suited for the construction of capped multiwall nanotubes (MWNTs). To validate this proposal and the overall robustness of the algorithm, a MWNT is constructed containing the chiralities (9,2)@(15,6)@(16,16). The algorithm presented paves the way for future computational investigations into the physics and chemistry of capped nanotubes. 2013 Journal Article http://hdl.handle.net/20.500.11937/20594 10.1103/PhysRevB.87.155430 American Physical Society restricted
spellingShingle Robinson, M.
Suarez-Martinez, Irene
Marks, Nigel
Generalized method for constructing the atomic coordinates of nanotube caps
title Generalized method for constructing the atomic coordinates of nanotube caps
title_full Generalized method for constructing the atomic coordinates of nanotube caps
title_fullStr Generalized method for constructing the atomic coordinates of nanotube caps
title_full_unstemmed Generalized method for constructing the atomic coordinates of nanotube caps
title_short Generalized method for constructing the atomic coordinates of nanotube caps
title_sort generalized method for constructing the atomic coordinates of nanotube caps
url http://hdl.handle.net/20.500.11937/20594