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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
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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

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

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).

figure 2a

figure 2b

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

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

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.


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.
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