optical spectroscopy of single-walled carbon nanotubesconstraints for population inversion and light...
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Optical Spectroscopy of Single-Walled Carbon Nanotubes
Louis BrusChemistry Department, Columbia University
Groups: Heinz, O’Brien, Hone, Turro, Friesner, Brus
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1. SWNT Luminescence dynamics – psec pump-probe spectroscopy (F. Wang, G. Dukovic)• Radiative lifetime ~ 100ns• Efficient Auger recombination
3. Nanotube surface oxides and hole-doping (G. Dukovic, B. White, Z. Zhou, F. Wang, S. Jockusch, M. Steigerwald)• Neutral and protonated endoperoxides
5. Rayleigh scattering from individual metallic and semiconducting SWNTs (M. Sfeir, F. Wang, L. Huang, C. Chuang)
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Constructing a (10,10) SWNT
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Electronic Structure of SWNTs
Nanotube: Ideal 1-D system; Many unique properties: Electrical, mechanical and optical.
Metallic:
Semiconducting:
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10 frontier orbitals of (5,5) Nanotube fragments
2 4 6 8 10 12 14 16 18 20 22-7
-6
-5
-4
-3
-2
-1
# of sections(10 C each sect.)
Ener
gy (e
V)
3 nm
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Light Emission from SWNTs Band Gap Fluorescence [1]
Electroluminescence[2]
[1] O’Connel et al. [2] Misewich, Martel, Avouris [3] Lefebvre, Homma, Finnie
[Science 297 593 (2002)] [Science 300 783 (2003)] [PRB 69 075403 (2004)]
Hartschuh, Pedrosa, Novotny, Krauss
[Science 301 1354 (2003)]
• Photonic application.• Useful tool for probing electronic structure and carrier dynamics.
Single Tube Fluorescence [3]
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AFM Image
[1] O’Connell et al., Science 297 553 (2002)
A single nanotube embedded in SDS micelle
Ref. [1]
Psec dynamics in SWNT ensembles
8nm6420
1 µm
Isolated SWNTs in aqueous micelles
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Micellar Fluorescence Spectra
400 600 800 1000 1200 14000.2
0.4
0.6
0.0
0.2
0.4
0.6
0.8
1.0
Fluo
resc
ence
(a.u
.)
Abs
orba
nce
Wavelength (nm)
absorption spectra
fluorescence(7,6)
(12,1)
(11,3)
(10,5)
(9,7)
[(n,m) assignment according to S.M. Bachilo et al. Science 298, 2361 (2002)]
Pump wavelength 800 nm
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Spectrally Integrated Time-Resolved Fluorescence
• Fluorescence decay: Principal decay time ~ 7 ps
• Also fluorescence in long-time tails.
longer time scale
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γtotal=7ps-1
Radiative Recombination Lifetime
Absolute fluorescence Q. E. (fast comp.): η = 0.7*10-4
γrad = η . γtotal
τrad = 1/γ rad ~ 110 ns
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Implication of the Radiative Lifetime
τrad ~ 100 ns
• Comparable to CdSe semiconductor nanoparticles with
high fluorescence quantum yield:
Low fluorescence efficiency is due to the fast trapping
In 10 ps carrier at thermal velocity travels ~ 3 μm
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New Channel with Multiple e-h Pairs
• Additional fast decay initially for multiple excitation per nanotube
• Similar decay at later times, which saturates at high excitation density.Similar results recently reported by Fleming et al., UC Berkeley (J. Chem. Phys. (2004) 120, 3368)
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e
e
e
h
Auger Recombination
At low excitation density:
Fluorescence ∝ # of excitated nanotubes ∝ pump fluence
At high excitation density: Fast auger process until one excitation per nanotube
Initial decay differs, tail part of decay is equivalent.
Multi-Carrier Interaction: Auger Process
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Modeling vs. Experiment
Two electron-hole pairs in 400nm long tube:Auger rate ~ 0.8 ps-1
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Theoretical Estimation of Auger Rate
Simplified model:
e-h e-h
( ) ( )e h e hV r r U r rδ− = − −
Simplified Coulomb interaction:2
2 ~ 2002bindUE meVµ= −h
Exciton binding energy:
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Auger Recombination ProcessesFeynman Diagrams:
( )K P+ ↔
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Calculation Results
2, , ,
,
2 ( )e h
e h
K P K P c k v kk k
M E Eπ δ ε εΓ = ⋅ + − −∑h
11 0.8( )
Auger Augerpsl
τ−
− = Γ =
Doesn’t depend strongly on temperature.
In comparison, Auger rate for free electron picture without including excitonic effect has an activated temperature behavior, and is orders of magnitude smaller.
M determined by U and Feynman diagrams
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Implication of the Rapid Auger Recombination Rate
• Limit on e-h pairs density:Constraints for population inversion and light amplification.
• Auger recombination due to the presence of free electrons or holes arising from defects or surface molecular species: Environmental sensitivity of photoluminescence.
• Rapid Auger recombination:Limit electroluminescence efficiency at high electron-hole injection rate.
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Intraband
< 200fs
Summary: Carrier Dynamics in SWNT
e
e
e
h
Auger ~ 1psNonradiative: Defect ~ 7ps
Radiative: ~ 100ns
ee
hh
e
h
Experimental Observations:
Some Implications:• Fast defect trapping limits the fluorescence yield
• Efficient Auger process excludes multiple sustained electron-hole pairs in nanotube, constraint for light emission and amplification in nanotubes
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Absorption bleaching and luminescence quenching at low pH
ABSORPTIONLUMINESCENCE
1.2
1.0
0.8
0.6
0.4
0.2
Abso
rban
ce
12001000800600400λ / nm
pH 3 pH 5 pH 7 pH 9 pH 12
7
6
5
4
3
2
1
0
Fluo
resc
ence
(a.u
)
14001300120011001000900λ / nm
(8,3
)(6
,5)
(7,5
)(1
0,2)
(9,4
)
(12,
1)(1
1,3)
(10,
5)
(9,7
)
Assignment
• Overall increase in intensity with increasing pH – hole doping at acid pH due to a protonated surface oxide(??) (also observed by Strano et al, J. Phys. Chem, 2003, 107, 6979)
• Luminescence more sensitive to H+ than optical absorption
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Direct observation of oxygen desorption(surface oxide in equilibrium with atmospheric oxygen)
• Heating to 97 °C under argon results in luminescence recovery – surface oxide decomposition
• Data fits unimolecular decomposition kinetics after induction period
• Estimate of Ea for concerted decomposition – 1.2eV
8
6
4
2
0
Fluo
resc
ence
(a.u
.)
12080400Time (min)
(8,3)
(6,5)
(9,7)(7,5)
(10,2)
(9,4)
(10,5)(12,1)
(11,3)
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What is the structure of SWNT surface oxide? B3LYP DFT calculation
ENDOPEROXIDE PROTONATED OXIDE
Positive charge delocalized on SWNT
+
carbocation
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SWNT re-oxidation with 1∆ O2 at pH 3
80
60
40
20
0
Fluo
resc
ence
(a.u
.)
14001300120011001000900λ / nm
[DMN] = 0.3 mM (control) [DMN-O2] = 0.1 µM [DMN-O2] = 1.0 µM [DMN-O2] = 3.3 µM
0.40
0.35
0.30
0.25
0.20
0.15
0.10
Abso
rban
ce
1300120011001000900λ / nm
pH 3; air-equilibrated pH 3; oxygen removed;
[DMN-O2] = 3.7 µM; t = 0 pH 3; [DMN-O2] = 3.7 µM; t = 18 hours
Absorption NOT bleachedLuminescence quenched
O O + 1∆ O2
h e a tendoperoxide
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Effect of oxide on SWNT optical properties
• Fluorescence quenching – ~ 10 holes per 400 nm tube
• Absorption bleaching – ~ 250 holes per 400 nm tube
Difference in sensitivities to holes in absorption and luminescence explained by the Auger effect
Non-radiative recombination: e--h+ + h+ h+ + kinetic energy
First quantitative study of SWNT oxidation and its effect on SWNT optical properties
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Optical Spectroscopy of Single Nanotubes
Existing techniques: • Resonance Raman spectroscopy. • Fluorescence Excitation Spectroscopy.
We perform single tube Rayleigh scattering spectroscopy.
Advantages: • Direct probe of electronic transitions, intrinsically stronger than Raman Scattering.• Present for both semiconductor and metallic nanotubes.
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Challenge: Characterize and identify an individual carbon nanotube by their Rayleigh scattering.
Rayleigh Scattering from Bundles (~100 tubes)
Previous Work: (Z. Yu 2001)
Ensemble Rayleigh scattering from laser-ablation material.
Shown to closely resemble ensemble absorption spectra.
Intensity of features shown to be highly polarization dependent.
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€
σ∝r4ε−1
2
λ3€
σ∝r6
λ4
ε−1ε+2
Sphere Infinite Cylinder
Scaling of Nanotube Rayleigh Cross Section
σ (dt = 2 nm) ~ 10-14 cm2
λ
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High brightness – like laser Large spectrum bandwidth – like a light bulb
450 - 1450 nm
Supercontinuum Radiation
Microstructured fiber: core ~ 2 m
Spectral range:
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Experimental SetupSupercontinuum Generation
Mode-locked Ti:Saph coupled to microstructured fiber optic.
spectrograph and CCD
spatial filter (pinhole)
reference beam
scattered light
piezo (oscillating in z)
450-1550 nmSpectral range:
excitation and collection objectives
polarizers
polarizers
sample
nonlinear fiber
Laser brightness
supercontinuum light
laser system
Scattered light is corrected by the supercontinuum spectral profile giving the Rayleigh spectrum
transmitted light
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CVD Growth Process
Imaging
Directional growth determined by flow direction of feed gas, lengths > 100 microns:
• CO, methane, and ethanol gas
• Fe, FeMo, and CoMo catalysts
Si/SiO2 substrates with slits patterned by optical lithography and wet etching.
Look at total integrated intensity on CCD to find tubes. Correlates to SEM images.
Single tubes scatter light much less than bundles. Distinguishable from the number of peaks in the spectra and width of features.
Growth and Imaging
Isolated SWNT
nanotube scattering
slit edges
10 µm
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Types of Rayleigh Spectra from Individual Nanotubes
Sharp, well-separated two peaks
Two closely-positioned peaks.
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Interpreting the Rayleigh Spectra
•Resonance structure corresponds to van Hove singularities of nanotube, reflecting the electronic signature of specific nanotubes.
2
3
1εσ
λ−
∝Rayleigh scattering from an infinitely long cylinder:
Theory: (23,0) tube
E33 E44
E11s
E22s
E11m
E33s
E44s
E22m
E33 and E44 of semiconductor nanotubes E22 of metallic nanotubes in our dt range
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eV
eV
DOSScattering
Metallic Carbon Nanotube
Semiconducting Carbon Nanotube
Single E22 transition observed in the visible – sometimes split into two very close peaks by trigonal warping effect
Two well separated E33 and E44 transitions for larger diameter tubes, E33 and E22 for smaller diameters.
E22
E33 E44
Rayleigh Spectra
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Polarization Dependence of The Rayleigh Scattering
Light scattering is strongly polarized along the nanotube.
5
E//0
E//total E 0
+++
- - -
E ind
P = ( -1) 21+
E 0
P//=( -1) E//0
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Scattering Spectra along the Nanotube: Single Tube
Does the nanotube keep the same chirality along the entire length?
40 μm
substrate
Yes. At least up to 40 μm, a chain of several millions of carbon atoms.
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Bundling Effect, Tube Interactions
Four or more peaks, broadened compared to single nanotube spectra.
Small Carbon Nanotube Bundle
When in bundles, spectra broaden and red-shift by approximately 15 meV.
Scattering Spectra along the Nanotube: Single Tube to Small Bundle
40 μm
substrate
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16401600156015204002000-200-400
2.62.42.22.01.81.61.4
Rayleigh
Resonance Raman
RBM
cm-1 cm-1
G mode
1.92eV 2.10eV
radial breathing mode d=1.89nm(21,4) nanotube: d=1.85nm. E33=1.87 , E44=2.10 (tight binding model)
Correlated Raman and Rayleigh Scattering from the Same Nanotube
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Summary• Nonradiative Auger recombination is extremely fast in SWNTs
• Nanotubes exposed to air form surface endoperoxides which can protonate to quench luminescence by hole-doping– Just a few holes in a 400 nm tube sufficient for quenching– Excited state sensitive along the entire length
• In open-slit geometry, it is possible to detect very strong Rayleigh scattering in short times– Rayleigh scattering clearly shows strong resonant optical
transitions and distinguishes between metallic and semiconducting tubes and provides a structure identification tool