Fluid and plastic flow dynamics of the critical state for a strongly pinned 2D superconductor |
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Authors: | D. Monier L. Fruchter |
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Affiliation: | (1) Groupe de Dynamique des Phases Condensées (UMR CNRS 5581), Université Montpellier II, 34095 Montpellier Cedex 5, France, FR;(2) Institut Laue-Langevin, 38042 Grenoble, France, FR;(3) Instituto de Carboquimica, CSIC, Zaragoza 50015, Spain, ES;(4) Instituto de Ciencia de Materiales de Aragón, Zaragoza 50015, Spain, ES;(5) Groupe Matière Condensée et Matériaux, Campus de Beaulieu, 35042 Rennes, France, FR |
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Abstract: | The frequency of the Raman active A1g radial breathing mode has been widely used as a tool to estimate the distribution of diameters of single wall carbon nanotubes (SWNT). However, the relation between frequency and diameter is not straightforward and results are model-dependent. Because most of the experiments are performed on bundles and not on isolated tubes, the model should especially take into account the van der Waals intertube interactions. Here, we use a pair-potential approach to account for such interactions and we derive a nonlinear relation between the SWNT diameter and the frequency of the A1g radial breathing modes. We demonstrate a good agreement between calculations and the diameters derived from diffraction experiments on the same samples. Received 22 December 1999 and Received in final form 17 July 2000 |
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Keywords: | PACS. 78.30.Na Fullerenes and related materials - 63.22.+m Phonons in low-dimensional structures and small particles |
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