Quantitative theory of diffraction by carbon nanotubes
- 15 August 1997
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 56 (7), 3571-3574
- https://doi.org/10.1103/physrevb.56.3571
Abstract
A quantitative theory of the kinematical diffraction of a plane wave by a carbon nanotube is developed. The formalism is based on the Cochran, Crick, and Vand theory of the diffraction by helical molecules. This leads to a closed-form expression of the diffracted amplitude produced by a single-wall tubule of arbitrary helicity, applicable to both X rays and high-energy electrons. The theory, which can be used to simulate the diffraction pattern of any multilayer nanotube, is illustrated on the case of a crystalline rope of carbon nanotubes.Keywords
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