Structural, vibrational and thermodynamic properties of carbon allotropes from first-principles : diamond, graphite, and nanotubes
Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Materials Science and Engineering, 2005.
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| Format: | Thesis |
| Language: | eng |
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Massachusetts Institute of Technology
2006
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| Online Access: | http://hdl.handle.net/1721.1/33400 |
| _version_ | 1811071558885572608 |
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| author | Mounet, Nicolas (Nicolas Frank) |
| author2 | Nicola Marzari. |
| author_facet | Nicola Marzari. Mounet, Nicolas (Nicolas Frank) |
| author_sort | Mounet, Nicolas (Nicolas Frank) |
| collection | MIT |
| description | Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Materials Science and Engineering, 2005. |
| first_indexed | 2024-09-23T08:53:04Z |
| format | Thesis |
| id | mit-1721.1/33400 |
| institution | Massachusetts Institute of Technology |
| language | eng |
| last_indexed | 2024-09-23T08:53:04Z |
| publishDate | 2006 |
| publisher | Massachusetts Institute of Technology |
| record_format | dspace |
| spelling | mit-1721.1/334002019-04-10T19:34:07Z Structural, vibrational and thermodynamic properties of carbon allotropes from first-principles : diamond, graphite, and nanotubes Mounet, Nicolas (Nicolas Frank) Nicola Marzari. Massachusetts Institute of Technology. Dept. of Materials Science and Engineering. Massachusetts Institute of Technology. Dept. of Materials Science and Engineering. Materials Science and Engineering. Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Materials Science and Engineering, 2005. Includes bibliographical references (p. 95-104). The structural, dynamical, and thermodynamic properties of different carbon allotropes are computed using a combination of ab-initio methods: density-functional theory for total-energy calculations and density-functional perturbation theory for lattice dynamics. For diamond, graphite, graphene, and armchair or zigzag single-walled nanotubes we first calculate the ground-state properties: lattice parameters, elastic constants and phonon dispersions and density of states. Very good agreement with available experimental data is found for all these, with the exception of the c/a ratio in graphite and the associated elastic constants and phonon dispersions. Agreement with experiments is recovered once the experimental c/a is chosen for the calculations. Results for carbon nanotubes confirm and expand available, but scarce, experimental data. The vibrational free energy and the thermal expansion, the temperature dependence of the elastic moduli and the specific heat are calculated using the quasi-harmonic approximation. Graphite shows a distinctive in-plane negative thermal-expansion coefficient that reaches its lowest value around room temperature, in very good agreement with experiments. The predicted value for the thermal-contraction coefficient of narrow single-walled nanotubes is half that of graphite, while for graphene it is found to be three times as large. (cont.) In the case of graphene and graphite, the ZA bending acoustic modes are shown to be responsible for the contraction, in a direct manifestation of the membrane effect predicted by I. M. Lifshitz over fifty years ago. Stacking directly hinders the ZA modes, explaining the large numerical difference between the thermal-contraction coefficients in graphite and graphene, notwithstanding their common physical origin. For the narrow nanotubes studied, both the TA bending and the "pinch" modes play a dominant role. For larger single-walled nanotubes, it is postulated that the radial breathing mode will have the! most significant effect on the thermal contraction, ultimately reaching the graphene limit as the diameter is increased. by Nicolas Mounet. S.M. 2006-07-13T15:21:08Z 2006-07-13T15:21:08Z 2005 2005 Thesis http://hdl.handle.net/1721.1/33400 62708749 eng M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission. http://dspace.mit.edu/handle/1721.1/7582 104 p. 4519769 bytes 4524067 bytes application/pdf application/pdf application/pdf Massachusetts Institute of Technology |
| spellingShingle | Materials Science and Engineering. Mounet, Nicolas (Nicolas Frank) Structural, vibrational and thermodynamic properties of carbon allotropes from first-principles : diamond, graphite, and nanotubes |
| title | Structural, vibrational and thermodynamic properties of carbon allotropes from first-principles : diamond, graphite, and nanotubes |
| title_full | Structural, vibrational and thermodynamic properties of carbon allotropes from first-principles : diamond, graphite, and nanotubes |
| title_fullStr | Structural, vibrational and thermodynamic properties of carbon allotropes from first-principles : diamond, graphite, and nanotubes |
| title_full_unstemmed | Structural, vibrational and thermodynamic properties of carbon allotropes from first-principles : diamond, graphite, and nanotubes |
| title_short | Structural, vibrational and thermodynamic properties of carbon allotropes from first-principles : diamond, graphite, and nanotubes |
| title_sort | structural vibrational and thermodynamic properties of carbon allotropes from first principles diamond graphite and nanotubes |
| topic | Materials Science and Engineering. |
| url | http://hdl.handle.net/1721.1/33400 |
| work_keys_str_mv | AT mounetnicolasnicolasfrank structuralvibrationalandthermodynamicpropertiesofcarbonallotropesfromfirstprinciplesdiamondgraphiteandnanotubes |