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Issue 1, November 2003
Physical Sciences & Mathematics
Electron Dynamics of Single-Walled Carbon Nanotubes
Monica Samec
University of Toronto
Advisor:
Randy Ellingson, Ph.D.
National Renewable Energy Laboratory
Discuss this article!
Abstract
Single-walled carbon nanotubes (SWNTs) have unique properties that
lend themselves to many potential applications. In order for nanotubes
to reach their full potential, it is necessary to have a comprehensive
understanding of their electronic properties. However, acquiring
this knowledge presents major challenges. A nanotube’s thermal,
electrical, and physical properties vary significantly with its
diameter and chirality. Since it is not yet possible to synthesize
a specific type of nanotube, samples of many nanotubes with different
properties must be used. In this experiment, laser deposition was
used to synthesize SWNTs at different pulsewidths. The material
was then purified and cast into a 0.1% m.w. film using a nafion
polymer. The UV-Vis-NIR spectra of the samples were analyzed, and
no significant differences in absorbance regions were found. Long-
and short-range dynamical spectra of the 2 µs pulsewidth sample
were analyzed. A double exponential curve was fit to the initial
ultrafast decay and a single exponential was fit to the slower decay.
Based on the dynamics observed in other nanomaterial systems, the
faster decays may be attributed to charge carrier cooling and delocalization
of charge along the nanotube, and the slower decay may be due to
electron-hole recombination. In these measurements, the decay attributed
to charge carrier cooling becomes slightly more influential at a
higher energy probe pulse.
Introduction
Because of their unique properties, single-walled carbon nanotubes
(SWNTs) show promise in revolutionizing several different areas
of technology, such as hydrogen storage, flat panel displays, and
photovoltaics. SWNTs are essentially graphite sheets rolled into
a cylinder and capped with pentagonal rings. Their diameters are
on the order of nanometers and their lengths up to 2 mm (Pan et
al. 1998). Nanotubes can differ in diameter and chirality, and these
differences dictate their electronic, thermal, and structural properties.
SWNTs
have a number of important properties, including variable bandgap,
high current-carrying capacity, hydrogen absorption, and field emission.
In most materials, the bandgap is an inherent property; however,
a study by Wilder et al. (1998) showed that a nanotube’s bandgap
is inversely proportional to its diameter, which opens up the possibility
of choosing a nanotube’s bandgap. Stable current densities
of carbon nanotubes are as high as 109 A/cm2 (Collins et al. 2000).
In contrast, copper wires burn out at about 106 A/cm2. SWNTs have
been observed to absorb up to 8% hydrogen by weight (Dillon et al.
1997), making them a feasible form of hydrogen storage for fuel
cells. Nanotubes have been found to be excellent field emitters,
making them suitable for flat panel display applications (Deheer
et al. 1995).
However,
the physical properties of nanotubes are still being discovered
and disputed. The difficulty is that nanotubes have a very broad
range of electronic, thermal, and structural properties that change
with diameter and chirality, and diameter and chirality cannot be
adequately controlled during synthesis. Yet, because of the promise
that nanotubes hold, it is essential to overcome these obstacles
and attempt to gain an accurate understanding of these properties.
In
this experiment, four SWNT samples were produced using various pulsewidths.
The effects of peak pulse power on SWNT type are analyzed and discussed.
UV-Vis-NIR spectra were taken for the samples, and their absorbance
properties compared. Pump wavelengths were measured, and their effect
on decay times determined.
Materials and Methods
SWNTs
were synthesized with a 755 nm alexandrite laser using the laser
pulse synthesis technique described by Dillon et al. (1999).
The pulsewidth was varied with runs at 2.0 ms,
1.0 ms,
500 ns, and 200 ns. In shortening the pulsewidth, a higher peak
power is achieved. It will be interesting to see if this change
in the synthesis process has any effect on the yield or optical
properties of the SWNTs. The carbon targets contained 2.78% m.w.
cobalt and 2.77% m.w. nickel, which are both metal catalysts in
SWNT production. Argon was passed through the 1200°
C chamber at a rate of 100 sccm, and pressure was held at 620 Torr.
The argon provided an inert atmosphere necessary for nanotube growth.
The rastor rate was 0.10300 Hz x 0.0400 Hz (approximately a 50%
overlap). The power density was, on average, 27 W/cm2.
The
samples were then refluxed with 100 mL of deionized water and 24
mL of 3M HNO3 at 130°
C for 16.5 hours. During this time, the sample dispersed and metals
became ionized. The metal ions were filtered out using 0.2 mm
alumina filter and deionized water. The sample and filter were dried
in a 50°
C oven for 30 minutes, making it possible to separate them from
each other. The sample was then baked in a 550°
C furnace for 30 minutes to remove the carbon matrix via oxidation.
For purposes of optical characterization, the SWNTs were cast into
0.1% m.w. films in nafion perfluorinated ion-exchange resin purchased
from Aldrich.
In
order to determine the metal content, 1 mg of the purified sample
was accurately weighed and enclosed in platinum foil. It was then
heated at 1100°
C for one hour. During this time, all carbon present underwent combustion,
and all metals were completely oxidized. It is assumed that cobalt
and nickel are the only metals present and that they occur in a 1:1
ratio, an assumption that should be valid, as the target used in synthesis
contains Ni and Co in a 1:1 ratio. Thermodynamic phase diagrams indicate
that the oxidation state of nickel is NiO under these conditions.
There are two oxidation states possible for nickel, and they are dependent
on the cooling conditions. Equations (1) and (2) assume the oxidation
state of cobalt to be CoO and CoO1.33, respectively. From
the weight measurement after oxidation, mfinal, the number
of moles of the original metal, x, can be calculated using
the molecular weights of the metal oxides, M.
mfinal
= x*(MNiO) + x*(MCoO) (1)
mfinal = x*(MNiO) + x*(MCoO1.33) (2)
From
x, the mass of nickel and cobalt in the original sample can
be calculated and the metal content (wt/wt %) can be found using
(3):
Metal Content = (x*MNi + x*MCo)*100/
minitial (3)
Linear
absorption measurements were carried out using a Cary 500 double
beam spectrometer at a spectral resolution of 1 nm.
Transient
absorption measurements were taken with a Clark-MXR CPA-2001 regeneratively-amplified
Ti:sapphire laser operating at 989 Hz. The 775 nm output pulses
pump an optical parametric amplifier. b-BaBO4
(BBO) was used to double the frequency of a fraction of the 775
nm beam. By focusing a small portion of the Ti:sapphire output on
a 2 mm sapphire window, white light probe pulses ranging from 440-950
nm were generated. Probe pulses can be delayed up to 1300 ps relative
to the pump. The pump and probe pulsewidths are 200 and 125 fs,
respectively.
Results
Synthesis generated
an average total yield of 104.9 mg of SWNTs per run, at an average
rate of 23.9 mg/hr. Metal content of the purified samples can be
found in Table 1.
 |
| Table
1. UV-Vis NIR
spectra of SWNTs of varied pulsewidth in nafion vs. air. |
UV-Vis
NIR spectra were taken of each of the samples and a nafion blank
in reference to air (Figure 1). Due to technical difficulties, the
Cary 500 spectrophotometer did not record absorbance in the 587-647
nm range for all samples.
 |
| Figure
1. UV-Vis NIR
spectra of SWNTs of varied pulsewidth in nafion vs. air. |
Dynamics
spectra were taken for the sample synthesized with a 2.0 s pulsewidth
using transient absorption spectroscopy. One long-range dynamical
measurement was taken where the delay was varied from 0.5 to 1300
ps, and the sample was pumped at 450 nm and probed at 650 nm. The
sample experienced fast decay followed by a slower one. The faster
decay was fitted to a double exponential function, indicating two
separate but simultaneous decay processes. The function was fit
from 0.116 ps to 10.2 ps, and gave time constants 140 fs and 960
fs occurring at a ratio of 23:1. The slower decay was fit to a single
exponential function from 10.2 ps to 1300 ps, and had a decay time
of 120 ps (Figure 2).


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| Figure
2 . Transient
absorption dynamics spectra of sample LP020717R (generated
with a 2.0 s pulsewidth) pumped at 450 nm and probed at 650
nm, a) from –0.5 to 1300 ps delay, b) from –0.5
to 10 ps delay. |
Two
further dynamics spectra were taken from –0.5 to 10 ps delay.
One of these was also pumped at 450 nm, but probed at 530 nm (Figure
3). A double exponential curve was fitted from 0.140 ps to 9.7 ps
and the time constants were calculated to be 130 fs and 940 fs in
a 24:1 ratio. Figure 4 shows the spectrum of the sample being pumped
at 550 nm and probed ant 640 nm. The time constants were calculated
to be 150 fs and 990 fs in a 12:1 ratio.
 |
| Figure
3 . Transient
absorption dynamics spectra of sample LP020717R (generated
with a 2.0 s pulsewidth) pumped at 450 nm and probed at 530
nm from –0.5 to 10 ps delay. |
 |
| Figure
4 . Transient
absorption dynamics spectra of sample LP020717R (generated
with a 2.0 s pulsewidth) pumped at 550 nm and probed at 640
nm from –0.5 to 10 ps delay. |
Discussion
Overall, the
UV-Vis-NIR spectra of the four samples (Figure 1) show absorbance
in all of the same regions. The nafion blank shows very little absorbance
except in the 1914 nm region. In this region, nafion contributes
to, but does not account for all of, the absorbance from the nanotube/nafion
films. It is possible that nafion might react with the nanotubes
to enhance absorption in this area. Absorbance in the 1789 nm region
seems to be from the nanotubes themselves. According to the Kataura
plot (Saito 2000), nanotube absorbance at this energy can only be
attributable to metallic nanotubes.
The
two samples with the shorter pulsewidths, 200 ns and 500 ns, show
distinctly less absorbance than the 1.0 and 2.0 s pulsewidths. It
is possible that the high-energy intensity attributed to such short
pulsewidths could produce less absorbent nanotubes.
However,
due to the similar absorbance spectra for all the samples, no structural
differences can be derived from the UV-Vis NIR spectra. This is
an important result because it suggests that the peak pulse power
in laser vaporization synthesis does not affect the types of SWNTs
produced.
In
all three dynamics spectra from transient absorption spectroscopy
measurements, two very quick decays are observed on the order of
100 and 900 fs. In each case, these decays are in all probability
due to the same events. The attribution of these time constants
to a physical process is challenging. However, based on the dynamics
observed in other nanomaterial systems, the fastest decay may correspond
to charge carrier cooling, and the 900 fs decay may represent the
delocalization of charge along the nanotube. The slower decay of
120 ps, seen in Figure 2a, can be attributed to electron-hole recombination.
In
comparing figures 2 and 3, we see that for the same pump wavelength
of 450 nm, the higher energy probe wavelength of 530 nm resulted
in quicker decay times and a slightly increased influence of the
faster decay. More transient absorption measurements can be taken
with varying probe energies in order to derive a more specific relationship.
In Figure 4, we see that for a less energetic pump pulse, both decays
become longer and that the influence of the 990 fs decay increases
dramatically. This could be the result of different tube types being
excited by different photon energies of the pump pulse. However,
it is not possible to draw definitive conclusions here as the absorption
data in Figure 1 is inconclusive in the pumping region.
The
main conclusions from this stage of the project are that the UV-Vis-NIR
spectra show no significant structural differences, although nanotubes
synthesized with a shorter pulsewidth tend to show less absorption,
potentially because of nanotube degradation due to high-energy intensity.
Transient absorption data indicate that the two fast decays, potentially
due to charge carrier cooling and charge delocalization along the
nanotube, become slower with a less energetic pump pulse. Also,
the decay attributed to charge carrier cooling becomes slightly
more influential at a higher energy probe pulse.
This
work represents progress in the measurement of time-resolved relaxation
following photoexcitation. This technique will continue to be applied
to reveal further details on excited state lifetime, on electronic
and vibrational relaxation, on the interactions between nanotubes
and other nano or bulk materials, and eventually on specific tube
types.
Acknowledgements
I wish to thank the U.S. Department of Energy for sponsoring the
Energy Research Undergraduate Laboratory Fellowship (ERULF) program.
Further thanks to the National Renewable Energy and its staff, most
especially to my mentors, Randy Ellingson and Michael Heben, for
providing me with the greatest learning experience I have had, and
to Katie Gilbert, Jeff Alleman, Anne Dillon, Pingrong Yu, and Jeff
Blackburn for imparting their knowledge and patience on me. A final
thank you to Linda Lung and Patrisia Navarro for making this program
what it is.
Discuss this article!
References
Collins, P.G., Avouris, P. (2000, December) "Nanotubes for Electronics"
Scientific American, pp 62-69.
Deheer, W.A., Chatelain,
A., Ugarte, D. (1995, November 17). "A Carbon Nanotube Field-Emission
Electron Source" Nature, pp 1179-1180.
Dillon, A.C., Gennett, T., Jones, K.M., Alleman, J.L., Parilla,
P.A., Heben, M.J. (1999, November 10) "A Simple and Complete
Purification of Single-Walled Carbon Nanotube Materials" Advanced
Materials, pp1354-1358.
Dillon A.C., Jones K.M., Bekkedahl T.A., Kiang C.H., Bethune D.S.,
Heben M.J. (1997, March 27) "Storage of hydrogen in single-walled
carbon nanotubes" Nature, pp 377-379.
Pan, Z.W., Xie S.S., Chang B.H., Wang C.Y., Lu L., Liu W., Zhou, W.Y., Li, W.Z., Qian, L.X.
(1998, August 13) "Very Long Carbon Nanotubes" Nature, pp 631-632.
Saito R., Dresselhaus G., Dresselhaus M.S. (2000, January 15) "Trigonal
Warping Effect of Carbon Nanotubes" Physical Review B, pp
2981-2990.
Wilder, Jeroen W. G., Venema, Liesbeth C., Rinzler, Andrew G., Smalley,
Richard E., Dekker, Cees. (1998, January 1) "Electronic Structure
of Atomically Resolved Carbon Nanotubes" Nature, pp. 59-62.
Journal of Young
Investigators. 2003. Volume Nine.
Copyright © 2003 by Monica Samec and JYI. All rights reserved.
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