Phonon Dispersion for Armchair and Zigzag Carbon Nanotubes
نویسندگان
چکیده
منابع مشابه
Zigzag and armchair nanotubes in external fields
We consider the Schrödinger operator on the zigzag and armchair nanotubes (tightbinding models) in a uniform magnetic field B and in an external periodic electric potential. The magnetic and electric fields are parallel to the axis of the nanotube. We show that this operator is unitarily equivalent to the finite orthogonal sum of Jacobi operators. We describe all spectral bands and all eigenval...
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Structure and energy calculations of pristine and COOH-modified model single wall carbon nanotubes (SWCNTs) of different length were performed at B3LYP/6-31G* level of theory. From 1 to 9 COOH groups were added at the end of the nanotube. The differences in structure and energetics of partially and fully functionalized SWCNTs at one end of the nanotube are observed. Up to nine COOH groups could...
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Hagen Telg,1,* Erik H. Hároz,1,2 Juan G. Duque,3 Xiaomin Tu,4 Constantine Y. Khripin,4 Jeffrey A. Fagan,4 Ming Zheng,4 Junichiro Kono,2 and Stephen K. Doorn1,† 1Center for Integrated Nanotechnologies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA 2Department of Electrical and Computer Engineering, Rice University, Houston, Texas 77005, USA 3Chemistry Division, Physical Chemi...
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ژورنال
عنوان ژورنال: Graphene
سال: 2014
ISSN: 2169-3439,2169-3471
DOI: 10.4236/graphene.2014.32003