Properties of Carbon Nanotubes: An ab Initio Study Using Large Gaussian Basis Sets and Various DFT Functionals

The structural, electronic, dielectric, and elastic properties of zigzag and armchair single-walled carbon nanotubes are investigated at different DFT levels (LDA, GGA, hybrids) with Gaussian type basis sets of increasing size (from 3-21G to 6-1111G(2d,f)). The longitudinal and transverse polarizabi...

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Main Authors: Demichelis, Raffaella, Noel, Y., D'Arco, P., Rerat, M., Zicovich-Wilson, C., Dovesi, R.
Format: Journal Article
Published: American Chemical Society 2011
Subjects:
Online Access:http://hdl.handle.net/20.500.11937/45012
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author Demichelis, Raffaella
Noel, Y.
D'Arco, P.
Rerat, M.
Zicovich-Wilson, C.
Dovesi, R.
author_facet Demichelis, Raffaella
Noel, Y.
D'Arco, P.
Rerat, M.
Zicovich-Wilson, C.
Dovesi, R.
author_sort Demichelis, Raffaella
building Curtin Institutional Repository
collection Online Access
description The structural, electronic, dielectric, and elastic properties of zigzag and armchair single-walled carbon nanotubes are investigated at different DFT levels (LDA, GGA, hybrids) with Gaussian type basis sets of increasing size (from 3-21G to 6-1111G(2d,f)). The longitudinal and transverse polarizabilities are evaluated by using the Coupled Perturbed Hartree–Fock and Kohn–Sham computational schemes, which take into account the orbital relaxation through a self-consistent scheme. It is shown that the difference between the frequently adopted SOS (sum over states, uncoupled) and the fully coupled results is far from being negligible and varies as a function of the tensor component and the adopted functional. Helical symmetry is fully exploited. This allows simulation of tubes larger (up to 140 atoms in the unit cell) than in previous studies by using extended basis sets and severe computational conditions. All the 12 functionals considered here provide similar results for the structural and the elastic properties and for the relative stability among nanotubes and with respect to graphene. On the contrary, the stability with respect to diamond, which has a quite different density than that of nanotubes, sensitively depends on the adopted functional. The band gap and the longitudinal polarizability are strongly dependent on the level of approximation: hybrid functionals provide the least deviation from experimental data. In general, data obtained for (n, n), (3n, 0), (3n + 1, 0), and (3n + 2, 0) rolling directions approach the slab limit for large radii following four distinct trends.
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spelling curtin-20.500.11937-450122017-09-13T15:59:55Z Properties of Carbon Nanotubes: An ab Initio Study Using Large Gaussian Basis Sets and Various DFT Functionals Demichelis, Raffaella Noel, Y. D'Arco, P. Rerat, M. Zicovich-Wilson, C. Dovesi, R. DFT Carbon nanotubes helical symmetry polarisability The structural, electronic, dielectric, and elastic properties of zigzag and armchair single-walled carbon nanotubes are investigated at different DFT levels (LDA, GGA, hybrids) with Gaussian type basis sets of increasing size (from 3-21G to 6-1111G(2d,f)). The longitudinal and transverse polarizabilities are evaluated by using the Coupled Perturbed Hartree–Fock and Kohn–Sham computational schemes, which take into account the orbital relaxation through a self-consistent scheme. It is shown that the difference between the frequently adopted SOS (sum over states, uncoupled) and the fully coupled results is far from being negligible and varies as a function of the tensor component and the adopted functional. Helical symmetry is fully exploited. This allows simulation of tubes larger (up to 140 atoms in the unit cell) than in previous studies by using extended basis sets and severe computational conditions. All the 12 functionals considered here provide similar results for the structural and the elastic properties and for the relative stability among nanotubes and with respect to graphene. On the contrary, the stability with respect to diamond, which has a quite different density than that of nanotubes, sensitively depends on the adopted functional. The band gap and the longitudinal polarizability are strongly dependent on the level of approximation: hybrid functionals provide the least deviation from experimental data. In general, data obtained for (n, n), (3n, 0), (3n + 1, 0), and (3n + 2, 0) rolling directions approach the slab limit for large radii following four distinct trends. 2011 Journal Article http://hdl.handle.net/20.500.11937/45012 10.1021/jp110704x American Chemical Society restricted
spellingShingle DFT
Carbon nanotubes
helical symmetry
polarisability
Demichelis, Raffaella
Noel, Y.
D'Arco, P.
Rerat, M.
Zicovich-Wilson, C.
Dovesi, R.
Properties of Carbon Nanotubes: An ab Initio Study Using Large Gaussian Basis Sets and Various DFT Functionals
title Properties of Carbon Nanotubes: An ab Initio Study Using Large Gaussian Basis Sets and Various DFT Functionals
title_full Properties of Carbon Nanotubes: An ab Initio Study Using Large Gaussian Basis Sets and Various DFT Functionals
title_fullStr Properties of Carbon Nanotubes: An ab Initio Study Using Large Gaussian Basis Sets and Various DFT Functionals
title_full_unstemmed Properties of Carbon Nanotubes: An ab Initio Study Using Large Gaussian Basis Sets and Various DFT Functionals
title_short Properties of Carbon Nanotubes: An ab Initio Study Using Large Gaussian Basis Sets and Various DFT Functionals
title_sort properties of carbon nanotubes: an ab initio study using large gaussian basis sets and various dft functionals
topic DFT
Carbon nanotubes
helical symmetry
polarisability
url http://hdl.handle.net/20.500.11937/45012