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Internet Electronic Journal of Molecular Design - IEJMD, ISSN 1538-6414, CODEN IEJMAT
ABSTRACT - Internet Electron. J. Mol. Des. January 2004, Volume 3, Number 1, 29-36

Low-Lying Transition-Allowed States of Tube-Like Fullerenes C60+10n
Yasushi Nomura, Hiroya Fujita, Susumu Narita, and Tai-ichi Shibuya
Internet Electron. J. Mol. Des. 2004, 3, 29-36

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Abstract:
Several groups have theoretically shown that the HOMO-LUMO gaps of the tube-like fullerene C60+10n vary periodically with n and take minimum values at n = 2, 5, .... Previously we demonstrated similar periodicity for their lowest excitation energies. Here we examine the low-lying excited states from the spectroscopic viewpoint. SECI (or TDA) calculations are made in the semiempirical CNDO/S approximation. The geometries optimized with Gaussian 98 at the AM1 level are used. The excitation energy of the lowest transition-allowed state of the C60+10n is shown to vary periodically with n. In the simulated absorption spectra for n > 3, prominent peaks with large oscillator strengths appear at the low energy region (< 3 eV). Their peak positions also similarly vary with n. It is found that two SEC's of [HOMO → LUMO+1] and [HOMO-1 → LUMO] make dominant contributions to both the lowest allowed state and the excited state corresponding to the prominent peak. The periodic n-dependences of the lowest transition-allowed excitation energy and of the prominent peak position are direct reflections of those of the two SEC's including HOMO and LUMO.

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