Computational studies of torsional properties of single-walled carbon nanotubes

Current thesis presents computational studies of the torsional twist in single walled carbon nanotubes (SWCNTs). Since SWCNTs can be viewed as rolled up graphene sheets, our aim is to explain their torsion constants via shear mod- ulus of graphene in pristine, and single- and double vacancy cases...

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Main Author: Koberidze, Manana
Other Authors: Matemaattis-luonnontieteellinen tiedekunta, Faculty of Sciences, Fysiikan laitos, Department of Physics, University of Jyväskylä, Jyväskylän yliopisto
Format: Master's thesis
Language:eng
Published: 2010
Subjects:
Online Access: https://jyx.jyu.fi/handle/123456789/37243
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author Koberidze, Manana
author2 Matemaattis-luonnontieteellinen tiedekunta Faculty of Sciences Fysiikan laitos Department of Physics University of Jyväskylä Jyväskylän yliopisto
author_facet Koberidze, Manana Matemaattis-luonnontieteellinen tiedekunta Faculty of Sciences Fysiikan laitos Department of Physics University of Jyväskylä Jyväskylän yliopisto Koberidze, Manana Matemaattis-luonnontieteellinen tiedekunta Faculty of Sciences Fysiikan laitos Department of Physics University of Jyväskylä Jyväskylän yliopisto
author_sort Koberidze, Manana
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description Current thesis presents computational studies of the torsional twist in single walled carbon nanotubes (SWCNTs). Since SWCNTs can be viewed as rolled up graphene sheets, our aim is to explain their torsion constants via shear mod- ulus of graphene in pristine, and single- and double vacancy cases. In addition, fundamental energy gap response to torsion is investigated. Calculations of defected structures is computationally expensive as it requires larger simula- tion cell with large number of atoms. To reduce the cost of computations we take the advantage of chiral symmetry of nanotubes instead of translational one, and faster performance of density-functional tight-binding method compared to other computational methods. Shear modulus calculations show that its value approaches that of graphene for large diameter tubes and is most sensitive to size in case of armchair tubes. Vacancies diminish shear modulus for most of the nanotubes and concentration-induced decrease has linear character regardless of chirality. Studies on direction-dependent shearing of graphene reveals that in the presence of double vacancy shear modulus has the biggest fluctuations from its average value compared to pristine and single vacancy instances. Torsion significantly modifies electronic structure as well - metallic tubes undergo tran- sition to semiconducting state, during which band gap change is linear, peaking and decreasing to zero again for most of the tubes. Results give the ground for assumption that for large diameter tubes the peak values, reached during torsion, converge.
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Since SWCNTs can be viewed as rolled\r\nup graphene sheets, our aim is to explain their torsion constants via shear mod-\r\nulus of graphene in pristine, and single- and double vacancy cases. In addition,\r\nfundamental energy gap response to torsion is investigated. Calculations of\r\ndefected structures is computationally expensive as it requires larger simula-\r\ntion cell with large number of atoms. To reduce the cost of computations we\r\ntake the advantage of chiral symmetry of nanotubes instead of translational one,\r\nand faster performance of density-functional tight-binding method compared to\r\nother computational methods. Shear modulus calculations show that its value\r\napproaches that of graphene for large diameter tubes and is most sensitive to\r\nsize in case of armchair tubes. Vacancies diminish shear modulus for most of the\r\nnanotubes and concentration-induced decrease has linear character regardless\r\nof chirality. 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spellingShingle Koberidze, Manana Computational studies of torsional properties of single-walled carbon nanotubes single-walled carbon nanotube density-functional tight-binding shear modulus graphene vacancy 402 nanoputket grafeeni
title Computational studies of torsional properties of single-walled carbon nanotubes
title_full Computational studies of torsional properties of single-walled carbon nanotubes
title_fullStr Computational studies of torsional properties of single-walled carbon nanotubes Computational studies of torsional properties of single-walled carbon nanotubes
title_full_unstemmed Computational studies of torsional properties of single-walled carbon nanotubes Computational studies of torsional properties of single-walled carbon nanotubes
title_short Computational studies of torsional properties of single-walled carbon nanotubes
title_sort computational studies of torsional properties of single walled carbon nanotubes
title_txtP Computational studies of torsional properties of single-walled carbon nanotubes
topic single-walled carbon nanotube density-functional tight-binding shear modulus graphene vacancy 402 nanoputket grafeeni
topic_facet 402 density-functional tight-binding grafeeni graphene nanoputket shear modulus single-walled carbon nanotube vacancy
url https://jyx.jyu.fi/handle/123456789/37243 http://www.urn.fi/URN:NBN:fi:jyu-201201241066
work_keys_str_mv AT koberidzemanana computationalstudiesoftorsionalpropertiesofsinglewalledcarbonnanotubes