Exact and closed form solutions for the quantum yield, exciton diffusion length, and lifetime to reveal the universal behaviors of the photoluminescence of defective single-walled carbon nanotubes

Journal of Physical Chemistry C

Volumn 115, Issue 34, 2011, Pages 16920-16927

  Liu, Tao ^a   Xiao, Zhiwei ^a  

^a FLORIDA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CLOSED FORM SOLUTIONS; DISTANCE DISTRIBUTIONS; EXCITON DIFFUSION; EXCITON DIFFUSION LENGTH; EXCITON LIFETIME; F4-TCNQ; NUMERICAL STUDIES; PHOTOLUMINESCENCE QUANTUM YIELDS; PL INTENSITY; RADIATIVE LIFETIME; SITE DENSITY; UNIVERSAL BEHAVIORS;

ASYMPTOTIC ANALYSIS; DIFFUSION; PHOTOLUMINESCENCE; QUANTUM YIELD; QUENCHING; SINGLE-WALLED CARBON NANOTUBES (SWCN);

EXCITONS;

EID: 80052176630     PISSN: 19327447     EISSN: 19327455     Source Type: Journal    
DOI: 10.1021/jp205458t     Document Type: Article

References (41)

1. O'Connell, M. J.; Bachilo, S. M.; Huffman, C. B.; Moore, V. C.; Strano, M. S.; Haroz, E. H. Band gap fluorescence from individual single-walled carbon nanotubes Science 2002, 297, 593-596 (Pubitemid 34815341)
2. Dresselhaus, M. S.; Dresselhaus, G.; Saito, R.; Jorio, A. Exciton Photophysics of Carbon Nanotubes Annu. Rev. Phys. Chem. 2007, 58, 719-747 (Pubitemid 46877606)
3. Carlson, L. J.; Krauss, T. D. Photophysics of Individual Single-Walled Carbon Nanotubes Acc. Chem. Res. 2008, 41, 235-243
4. Ma, Y-Z; Hertel, T.; Vardeny, Z. V.; Fleming, G. R.; Valkunas, L. Ultrafast Spectroscopy of Carbon Nanotubes Top. Appl. Phys. 2008, 111, 321-352
5. Lefebvre, J.; Maruyama, S.; Finnie, P. Photoluminescence: Science and Applications Top. Appl. Phys. 2008, 111, 287-319
6. Spataru, C. D.; Ismail-Beigi, S.; Capaz, R. B.; Louie, S. G. Quasiparticle and Excitonic Effects in the Optical Response of Nanotubes and Nanoribbons Top. Appl. Phys. 2008, 111, 195-227
7. Avouris, P.; Freitag, M.; Perebeinos, V. Carbon-Nanotube Optoelectronics Top. Appl. Phys. 2008, 111, 423-454
8. Set, S. Y.; Yaguchi, H.; Tanaka, Y.; Jablonski, M. Laser mode locking using a saturable absorber incorporating carbon nanotubes J. Lightwave Technol. 2004, 22, 51-56
9. Hogele, A.; Galland, C; Winger, M.; Imamoglu, A. Photon Antibunching in the Photoluminescnece Spectra of a Single Carbon Nanotube Phys. Rev. Lett. 2008, 100, 217401
10. Freitag, M.; Martin, Y.; Misewich, J. A.; Martel, R.; Avouris, P. Photoconductivity of single carbon nanotubes Nano Lett. 2003, 3, 1067-1071 (Pubitemid 37289297)
11. Levitsky, I. A.; Euler, W. B. Photoconductivity of single-wall carbon nanotubes under continuous-wave near-infrared illumination Appl. Phys. Lett. 2003, 83, 1857-1859
12. Itkis, M. E.; Borondics, F.; Yu, A.; Haddon, R. C. Bolometric infrared photoresponse of suspended single-walled carbon nanotube films Science 2006, 312, 413-416
13. Joh, D. Y.; Kinder, J.; Herman, L. H.; Ju, S-Y; Segal, M. A.; Johnson, J. N.; Chan, G. K-L.; Park, J. Single-walled carbon nanotubes as excitonic optical wires Nat. Nanotechnol. 2011, 6, 51-56
14. Cherukuri, P.; Bachilo, S. M.; Litovsky, S. H.; Weisman, R. B. Near-infrared fluorescence microscopy of single-walled carbon nanotubes in phagocytic cells J. Am. Chem. Soc. 2004, 126, 15638-15639 (Pubitemid 39602412)
15. Welsher, K.; Liu, Z.; Sherlock, S. P.; Robinson, J. T.; Chen, Z.; Daranciang, D.; Dai, H. A route to brightly fluorescent carbon nanotubes for near-infrared imaging in mice Nat. Nanotechnol. 2009, 4, 773-780
16. Hagen, A.; Steiner, M.; Raschke, M. B.; Lienau, C.; Hertel, T.; Qian, H.; Meixner, A. J.; Hartschuh, A. Exponential Decay Lifetimes of Excitons in Individual Single-Walled Carbon Nanotubes Phys. Rev. Lett. 2005, 95, 197401
17. Wang, F.; Dukovic, G.; Brus, L. E.; Heinz, T. F. Time-Resolved Fluorescence of Carbon Nanotubes and Its Implication for Radiative Lifetimes Phys. Rev. Lett. 2004, 92, 177401
18. Jones, M.; Engtrakul, C.; Metzger, W. K.; Ellingson, R. J.; Nozik, A. J.; Heben, M. J.; Rumbles, G. Analysis of photoluminescence from solubilized single-walled carbon nanotubes Phys. Rev. B 2005, 71, 115426
19. Huang, L.; Pedrosa, H. N.; Krauss, T. D. Ultrafast Ground-State Recovery of Single-Walled Carbon Nanotubes Phys. Rev. Lett. 2004, 93, 017403
20. Hertel, T.; Himmelein, S.; Ackermann, T.; Stich, D.; Crochet, J. Diffusion Limited Photoluminescence Quantum Yields in 1-D Semiconductors: Single-Wall Carbon Nanotubes ACS Nano 2010, 4, 7161-7168
21. Crochet, J.; Clemens, M.; Hertel, T. Quantum Yield Heterogeneities of Aqueous Single-Wall Carbon Nanotube Suspensions J. Am. Chem. Soc. 2007, 129, 8058-8059 (Pubitemid 47035105)
22. Miyauchi, Y.; Hirori, H.; Matsuda, K.; Kanemitsu, Y. Radiative lifetimes and coherence lengths of one-dimensional excitons in single-walled carbon nanotubes Phys. Rev. B 2009, 80, 081410 (R)
23. Carlson, L. J.; Maccagnano, S. E.; Zheng, M.; Silcox, J.; Krauss, T. D. Fluorescence Efficiency of Individual Carbon Nanotubes Nano Lett. 2007, 7, 3698-3703
24. Xiao, Y.-F.; Nhan, T. Q.; Wilson, M. W. B.; Fraser, J. M. Saturation of the Photoluminescence at Few-Exciton Levels in a Single-Walled Carbon Nanotube under Ultrafast Excitation Phys. Rev. Lett. 2010, 104, 017401
25. Tsyboulski, D. A.; Rocha, J-D. R.; Bachilo, S. M.; Cognet, L.; Weisman, R. B. Structure-Dependent Fluorescence Efficiencies of Individual Single-Walled Carbon Nanotubes Nano Lett. 2007, 7, 3080-3085 (Pubitemid 350132933)
26. Ju, S.-Y.; Kopcha, W. P.; Papadimitrakopoulos, F. Brightly Fluorescent Single-Walled Carbon Nanotubes via an Oxygen- Excluding Surfactant Organization Science 2009, 323, 1319-1323
27. Lee, A. J.; Wang, X.; Carlson, L. J.; Smyder, J. A.; Loesch, B.; Tu, X.; Zheng, M.; Krauss, T. D. Bright Fluorescence from Individual Single-Walled Carbon Nanotubes Nano Lett. 2011, 11, 1636-1640
28. Ando, T. Excitons in carbon nanotubes J. Phys. Soc. Jpn. 1997, 66, 1066-1073
29. Wang, F.; Dukovic, G.; Brus, L. E.; Heinz, T. F. The Optical Resonances in Carbon Nanotubes Arise from Excitons Science 2005, 308, 838-841 (Pubitemid 40629260)
30. Perebeinos, V.; Tersoff, J.; Avouris, P. Radiative Lifetime of Excitons in Carbon Nanotubes Nano Lett. 2005, 5, 2495-2499 (Pubitemid 43088900)
31. Spataru, C. D.; Ismail-Beigi, S.; Capaz, R. B.; Louie, S. G. Theory and Ab Initio Calculation of Radiative Lifetime of Excitons in Semiconducting Carbon Nanotubes Phys. Rev. Lett. 2005, 95, 247402
32. Perebeinos, V.; Avouris, P. Phonon and Electronic Nonradiative Decay Mechanisms of Excitons in Carbon Nanotubes Phys. Rev. Lett. 2008, 101, 057401
33. Wang, F.; Dukovic, G.; Knoesel, E.; Brus, L. E.; Heinz, T. F. Observation of rapid Auger recombination in optically excited semiconducting carbon nanotubes Phys. Rev. B 2004, 70, 241403
34. Rajan, A.; Strano, M. S.; Heller, D. A.; Hertel, T.; Schulten, K. Length-Dependent Optical Effects in Single Walled Carbon Nanotubes J. Phys. Chem. B 2008, 112, 6211-6213
35. Cognet, L.; Tsyboulski, D. A.; Rocha, J-D. R.; Doyle, C. D.; Tour, J. M.; Weisman, R. B. Stepwise Quenching of Exciton Fluorescence in Carbon Nanotubes by Single-Molecule Reactions Science 2007, 316, 1465-1468 (Pubitemid 46906610)
36. Harrah, D. M.; Swan, A. K. The Role of Length and Defects on Optical Quantum Efficiency and Exciton Decay Dynamics in Single-Walled Carbon Nanotubes ACS Nano 2011, 5, 647-655
37. Matsuda, K.; Miyauchi, Y.; Sakashita, T.; Kanemitsu, Y. Nonradiative exciton decay dynamics in hole-doped single-walled carbon nanotubes Phys. Rev. B 2010, 81, 033409
38. Table of Integrals, series, and products, 5th ed.; Gradshteyn, I. S.; Ryzhik, I. M.; Jeffrey, A., Eds.; Academic Press, Inc.: Boston, 1994.
39. http://mathworld.wolfram.com/GammaFunction.html.
40. Siitonen, A. J.; Tsyboulski, D. A.; Bachilo, S. M.; Weisman, R. B. Dependence of Exciton Mobility on Structure in Single-Walled Carbon Nanotubes J. Phys. Chem. Lett. 2010, 1, 2189-2192
41. Siitonen, A. J.; Tsyboulski, D. A.; Bachilo, S. M.; Weisman, R. B. Surfactant Dependent Exciton Mobility in Single-Walled Carbon Nanotubes Studied by Single-Molecule Reactions Nano Lett. 2010, 10, 1595-1599