Universal Scherrer equation for graphene fragments
© 2020 Elsevier Ltd Graphene fragments spanning a wide range of size and shape were studied computationally using the Debye scattering equation. The calculated diffraction patterns were analysed using the Scherrer equation to infer the fragment size, La. Comparison with the known fragment sizes...
| Main Authors: | , , |
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| Format: | Journal Article |
| Language: | English |
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PERGAMON-ELSEVIER SCIENCE LTD
2020
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| Online Access: | http://hdl.handle.net/20.500.11937/81893 |
| _version_ | 1848764440654118912 |
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| author | Lim, D.J. Marks, Nigel Rowles, Matthew |
| author_facet | Lim, D.J. Marks, Nigel Rowles, Matthew |
| author_sort | Lim, D.J. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | © 2020 Elsevier Ltd
Graphene fragments spanning a wide range of size and shape were studied computationally using the Debye scattering equation. The calculated diffraction patterns were analysed using the Scherrer equation to infer the fragment size, La. Comparison with the known fragment sizes reveals a strong affine relationship between La and the Scherrer quantity λ/(Bcosθ). To preserve this relationship, we propose modifying the Scherrer equation to include an empirical additive constant. Our approach solves the well-known problem of size-dependence in the shape factor and yields a universal expression by defining La as the square-root of the fragment area. The relationship between observed diffraction peak positions and unit cell parameters is also discussed. |
| first_indexed | 2025-11-14T11:19:24Z |
| format | Journal Article |
| id | curtin-20.500.11937-81893 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T11:19:24Z |
| publishDate | 2020 |
| publisher | PERGAMON-ELSEVIER SCIENCE LTD |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-818932022-03-30T07:51:35Z Universal Scherrer equation for graphene fragments Lim, D.J. Marks, Nigel Rowles, Matthew Science & Technology Physical Sciences Technology Chemistry, Physical Materials Science, Multidisciplinary Chemistry Materials Science X-RAY-DIFFRACTION CARBON SCATTERING © 2020 Elsevier Ltd Graphene fragments spanning a wide range of size and shape were studied computationally using the Debye scattering equation. The calculated diffraction patterns were analysed using the Scherrer equation to infer the fragment size, La. Comparison with the known fragment sizes reveals a strong affine relationship between La and the Scherrer quantity λ/(Bcosθ). To preserve this relationship, we propose modifying the Scherrer equation to include an empirical additive constant. Our approach solves the well-known problem of size-dependence in the shape factor and yields a universal expression by defining La as the square-root of the fragment area. The relationship between observed diffraction peak positions and unit cell parameters is also discussed. 2020 Journal Article http://hdl.handle.net/20.500.11937/81893 10.1016/j.carbon.2020.02.064 English http://creativecommons.org/licenses/by-nc-nd/4.0/ PERGAMON-ELSEVIER SCIENCE LTD fulltext |
| spellingShingle | Science & Technology Physical Sciences Technology Chemistry, Physical Materials Science, Multidisciplinary Chemistry Materials Science X-RAY-DIFFRACTION CARBON SCATTERING Lim, D.J. Marks, Nigel Rowles, Matthew Universal Scherrer equation for graphene fragments |
| title | Universal Scherrer equation for graphene fragments |
| title_full | Universal Scherrer equation for graphene fragments |
| title_fullStr | Universal Scherrer equation for graphene fragments |
| title_full_unstemmed | Universal Scherrer equation for graphene fragments |
| title_short | Universal Scherrer equation for graphene fragments |
| title_sort | universal scherrer equation for graphene fragments |
| topic | Science & Technology Physical Sciences Technology Chemistry, Physical Materials Science, Multidisciplinary Chemistry Materials Science X-RAY-DIFFRACTION CARBON SCATTERING |
| url | http://hdl.handle.net/20.500.11937/81893 |