Abstract Submitted to the ; NANOTUBE'05 Conference:

The resonant Raman profile of the radial-breathing mode is calculated exactly and within two approximation schemes of different degree of complexity for all 300 single-walled carbon nanotubes in the radius range from 0.2 to 1.2 nm within a symmetry-adapted non-orthogonal tight-binding model. In all the three cases, the matrix elements of the momentum and the deformation potential are calculated explicitly. The two approximation schemes assume a) wavevector-independent matrix elements, and b) tube-independent and wavevector-independent matrix elements. It is shown that scheme (a) reproduces semi-quantitatively the results of the exact calculation. However, the assumption for tube-independent matrix elements in scheme (b) leads to qualitative disagreement with the exact results. Therefore, the application of the latter scheme for prediction of the Raman spectra can lead to incorrect assignment. On the other hand, the tabulated parameters of scheme (a) can be used for predicting the Raman spectra for a given laser excitation energy and diameter distribution of the tubes and to determine the diameter distribution of a given experimental Raman spectrum.

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