Biomedical Engineering Reference
In-Depth Information
G
RBM
G
2
nd
D
0
1000
2000
3000
Frequency (cm
1
)
FIGURE 15.17
Raman spectrum of SWNT. (Reprinted with permission from [134]. Copyright (2004)
The Royal Society.)
The radial breathing mode (RBM) appearing in the 160 to 300 cm
1
region is associ-
ated with a symmetric movement of all carbon atoms in the radial direction (Fig. 15.18a)
[128]. The frequency of the radial breathing mode is inversely proportional to the diam-
eter of the individual nanotube through the relation
ν
RBM
A/d
t
B
, where the
A
and
248 cm
1
nm and
B
parameters are determined experimentally. For isolated SWNTs,
A
B
0 have been found [129]. In nanotube aggregates, the weak intertubule coupling via
van der Waals interactions normally results in a 6-20 cm
1
shift to higher frequencies
due to space restrictions imposed by neighboring tubes [130]. For typical SWNT bundles
in the diameter range
d
t
10 cm
1
(where
B
refl ects the tube-tube interaction) have been found [131]. For large diameter tubes (
d
t
234 cm
1
nm and
B
1.5
0.2 nm,
A
2 nm) the intensity of the RBM feature is weak and is hardly observable.
The tangential G-band (or high energy mode) around 1580 cm
1
also provides a
signature of carbon nanotube. The G mode in SWNTs gives rise to a multi-peak fea-
ture which originates from the symmetry breathing of the tangential vibration when
the graphite sheet is rolled to make a cylindrically shaped tube (see Fig. 15.18b). The
two most intense G peaks are labeled G
, for modes with atomic displacements along
the tube axis, and G
, for modes with atomic displacement along the circumferential
direction (see Fig. 15.18b). The G
bands for semiconductive and metallic SWNTs
are different in the line shape and frequencies (Fig. 15.19), i.e. broadened for metallic
SWNTs while sharp and weak for semiconductive SWNTs [128]. This feature can be
used to distinguish between the two types of SWNTs. The G
mode shifts to lower
frequencies with decreasing diameter, and this decrease becomes larger as the curva-
ture of the sheet increases [132, 133].
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