Temperature dependence of atomic vibrations in mono-layer graphene
© 2015 AIP Publishing LLC. We have measured the mean square amplitude of both in- and out-of-plane lattice vibrations for mono-layer graphene at temperatures ranging from ∼100 K to 1300K. The amplitude of lattice vibrations was calculated from data extracted from selected area electron diffraction p...
| Main Authors: | , , , , , , , , , |
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| Format: | Journal article |
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American Institute of Physics
2015
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| _version_ | 1797080307608846336 |
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| author | Allen, C Liberti, E Kim, J Xu, Q Fan, Y He, H Robertson, A Zandbergen, H Warner, J Kirkland, A |
| author_facet | Allen, C Liberti, E Kim, J Xu, Q Fan, Y He, H Robertson, A Zandbergen, H Warner, J Kirkland, A |
| author_sort | Allen, C |
| collection | OXFORD |
| description | © 2015 AIP Publishing LLC. We have measured the mean square amplitude of both in- and out-of-plane lattice vibrations for mono-layer graphene at temperatures ranging from ∼100 K to 1300K. The amplitude of lattice vibrations was calculated from data extracted from selected area electron diffraction patterns recorded across a known temperature range with over 80 diffraction peaks measured per diffraction pattern. Using an analytical Debye model, we have also determined values for the maximum phonon wavelength that can be supported by a mono-layer graphene crystal and the magnitude of quantum mechanical zero point vibrations. For in-plane phonons, the quantum mechanical zero point contribution dominates the measured atomic displacement at room temperature, whereas for out-of-plane modes, thermally populated phonons must be considered. We find a value for the maximum phonon wavelength sampled that is several orders of magnitudes smaller than the physical crystallite size. |
| first_indexed | 2024-03-07T00:58:08Z |
| format | Journal article |
| id | oxford-uuid:88ca014c-520d-4d50-8e56-5b32d3fac49a |
| institution | University of Oxford |
| last_indexed | 2024-03-07T00:58:08Z |
| publishDate | 2015 |
| publisher | American Institute of Physics |
| record_format | dspace |
| spelling | oxford-uuid:88ca014c-520d-4d50-8e56-5b32d3fac49a2022-03-26T22:19:52ZTemperature dependence of atomic vibrations in mono-layer grapheneJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:88ca014c-520d-4d50-8e56-5b32d3fac49aSymplectic Elements at OxfordAmerican Institute of Physics2015Allen, CLiberti, EKim, JXu, QFan, YHe, HRobertson, AZandbergen, HWarner, JKirkland, A© 2015 AIP Publishing LLC. We have measured the mean square amplitude of both in- and out-of-plane lattice vibrations for mono-layer graphene at temperatures ranging from ∼100 K to 1300K. The amplitude of lattice vibrations was calculated from data extracted from selected area electron diffraction patterns recorded across a known temperature range with over 80 diffraction peaks measured per diffraction pattern. Using an analytical Debye model, we have also determined values for the maximum phonon wavelength that can be supported by a mono-layer graphene crystal and the magnitude of quantum mechanical zero point vibrations. For in-plane phonons, the quantum mechanical zero point contribution dominates the measured atomic displacement at room temperature, whereas for out-of-plane modes, thermally populated phonons must be considered. We find a value for the maximum phonon wavelength sampled that is several orders of magnitudes smaller than the physical crystallite size. |
| spellingShingle | Allen, C Liberti, E Kim, J Xu, Q Fan, Y He, H Robertson, A Zandbergen, H Warner, J Kirkland, A Temperature dependence of atomic vibrations in mono-layer graphene |
| title | Temperature dependence of atomic vibrations in mono-layer graphene |
| title_full | Temperature dependence of atomic vibrations in mono-layer graphene |
| title_fullStr | Temperature dependence of atomic vibrations in mono-layer graphene |
| title_full_unstemmed | Temperature dependence of atomic vibrations in mono-layer graphene |
| title_short | Temperature dependence of atomic vibrations in mono-layer graphene |
| title_sort | temperature dependence of atomic vibrations in mono layer graphene |
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