Quantum-size effects in capped and uncapped carbon nanotubes

Takashi Yumura, Daijiro Nozaki, Kaori Hirahara, Shunji Bandow, Sumio Iijima, Kazunari Yoshizawa

Research output: Contribution to journalReview article

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Abstract

Properties of C60-related finite-length nanotubes C 40+20n with armchair structures and C42+18n with zigzag structures, in which n is, respectively, the number of cyclic cis- and trans-polyene chains inserted between the fullerene hemispheres at the two edges, are analyzed by quantum chemical calculations at the B3LYP DFT level of theory. To clarify end-cap effects on the C60-related nanotubes, the corresponding nanotubes terminated by H atoms, C20nH20 and C18nH18 are also analyzed. Bond-length alternation patterns in the armchair nanotubes change in an oscillatory manner as n with a periodicity of 3, whereas those in the zigzag nanotubes are independent of the chain width. A similar tendency is seen in computed HOMO-LUMO gaps in the finite-length nanotubes. The sharp contrast in the quantum-size effects between the armchair and zigzag nanotubes is a consequence of interchain interactions in the cylinders, which depend on their edge structures. The interchain interactions in the armchair nanotubes are significant, due to the delocalization of orbital amplitudes within single cis-polyene chains, whereas those in the zigzag nanotubes are weak, due to the nodal properties of the single trans-polyene chains. The geometrical and electronic features in the C60-related nanotubes are also well affected by the fullerene hemispheres at the two edges because orbital interactions between the end-caps and the cylindrical segments conserve their orbital symmetries in the frontier orbital regions. DFT calculations illuminate that the structural and electronic properties of the C60-related nanotubes are dominated by tube lengths, edge structures, and end caps.

Original languageEnglish
Pages (from-to)71-91
Number of pages21
JournalAnnual Reports on the Progress of Chemistry - Section C
Volume102
Issue number1
DOIs
Publication statusPublished - Aug 14 2006

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Carbon Nanotubes
Nanotubes
Polyenes
Fullerenes
Discrete Fourier transforms
Bond length
Electronic properties
Structural properties

All Science Journal Classification (ASJC) codes

  • Chemistry(all)

Cite this

Quantum-size effects in capped and uncapped carbon nanotubes. / Yumura, Takashi; Nozaki, Daijiro; Hirahara, Kaori; Bandow, Shunji; Iijima, Sumio; Yoshizawa, Kazunari.

In: Annual Reports on the Progress of Chemistry - Section C, Vol. 102, No. 1, 14.08.2006, p. 71-91.

Research output: Contribution to journalReview article

Yumura, Takashi ; Nozaki, Daijiro ; Hirahara, Kaori ; Bandow, Shunji ; Iijima, Sumio ; Yoshizawa, Kazunari. / Quantum-size effects in capped and uncapped carbon nanotubes. In: Annual Reports on the Progress of Chemistry - Section C. 2006 ; Vol. 102, No. 1. pp. 71-91.
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