Accurate density functional calculations for the phonon dispersion relations of graphite layer and carbon nanotubes

2003 ◽  
Vol 67 (3) ◽  
Author(s):  
O. Dubay ◽  
G. Kresse
Keyword(s):  
Carbon Nanotubes ◽  
Density Functional Calculations ◽  
Density Functional ◽  
Phonon Dispersion ◽  
Dispersion Relations ◽  
Graphite Layer ◽  
Phonon Dispersion Relations

Phonon dispersion relations and soft modes of 4 A carbon nanotubes

2010 ◽  
Vol 19 (1) ◽  
pp. 016301-5 ◽  
Author(s):  
Miao Ling ◽  
Liu Hui-Jun ◽  
Hu Yi ◽  
Zhou Xiang ◽  
Hu Cheng-Zheng ◽  
...  
Keyword(s):  
Carbon Nanotubes ◽  
Phonon Dispersion ◽  
Dispersion Relations ◽  
Soft Modes ◽  
Phonon Dispersion Relations

D-band Raman Spectra of Graphite and Single Wall Carbon Nanotubes

2001 ◽  
Vol 706 ◽  
Author(s):  
R. Saito ◽  
A. Grueneis ◽  
L. G. Cançcado ◽  
M. A. Pimenta ◽  
A. Jorio ◽  
...  
Keyword(s):  
Carbon Nanotubes ◽  
Raman Spectra ◽  
Phonon Dispersion ◽  
Resonance Raman ◽  
Dispersion Relations ◽  
Single Wall Carbon Nanotubes ◽  
Phonon Modes ◽  
Single Wall Carbon ◽  
Resonance Raman Spectra ◽  
Phonon Dispersion Relations

AbstractThe double resonance Raman spectra of the disorder-induced D-band and some other non-zone-center phonon modes are discussed for two-dimensional (2D) graphite and to some extent for single wall carbon nanotubes (SWNTs). The phonon dispersion relations of graphite can be determined using Raman spectroscopy b y measuring the non-zone center Raman phonon frequencies in combination with theoretically determined phonon q-vectors. We report a t of the phonon dispersion relations to experimental Raman spectra which were previously observed but have not y et been assigned to speci c phonon branches. We found that the D-band and the G0-band of 2D graphite consist of, respectively, two and one Raman Lorentzian peaks, while 3D graphite shows two G0-band Lorentzian peaks. The appearance of two G0 peaks in the resonance Raman spectra of SWNTs may come from resonances of one laser line with two di erent van Hov e singularities.

Phonon Dispersion Relations in the Bi0.95Sb0.05 Alloy

1981 ◽  
Vol 104 (1) ◽  
pp. 97-102 ◽  
Author(s):  
J. Sosnowski ◽  
S. Bednarski ◽  
W. Bührer ◽  
A. Czachor ◽  
E. Maliszewski
Keyword(s):  
Phonon Dispersion ◽  
Dispersion Relations ◽  
Phonon Dispersion Relations
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