Accurate and unbiased estimation of power-law exponents from single-emitter blinking data

Journal of Chemical Physics

Volumn 125, Issue 20, 2006, Pages

  Hoogenboom, Jacob P ^a   Den Otter, Wouter K ^b   Offerhaus, Herman L ^a  

^a UNIVERSITY OF TWENTE   (Netherlands)

^b UNIVERSITY OF TWENTE   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

FLUORINE CONTAINING POLYMERS; NANOSTRUCTURED MATERIALS; ORGANIC POLYMERS; PROBABILITY DENSITY FUNCTION; PROTEINS; SEMICONDUCTOR MATERIALS;

ORGANIC FLUOROPHORES; POWER-LAW EXPONENTS; SINGLE-EMITTER BLINKING DATA;

DATA STRUCTURES;

FLUORESCENT DYE;

ARTICLE; CHEMICAL MODEL; CHEMICAL STRUCTURE; CHEMISTRY; COMPUTER SIMULATION; LUMINESCENCE; METHODOLOGY; REGRESSION ANALYSIS; SAMPLE SIZE; SPECTROFLUOROMETRY; STATISTICAL MODEL;

COMPUTER SIMULATION; FLUORESCENT DYES; LEAST-SQUARES ANALYSIS; LUMINESCENT MEASUREMENTS; MODELS, CHEMICAL; MODELS, MOLECULAR; MODELS, STATISTICAL; SAMPLE SIZE; SPECTROMETRY, FLUORESCENCE;

EID: 33751577507     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2387165     Document Type: Article

References (57)

1. W. E. Moerner and M. Orrit, Science 0036-8075 10.1126/science.283.5408. 1670 283, 1670 (1999); F. Kulzer and M. Orrit, Annu. Rev. Phys. Chem. 0066-426X 10.1146/annurev.physchem.54.011002.103816 55, 585 (2004); P. Tinnefeld and M. Sauer, Angew. Chem., Int. Ed. 44, 2642 (2005).
2. W. E. Moerner and M. Orrit, Science 0036-8075 10.1126/science.283.5408. 1670 283, 1670 (1999); F. Kulzer and M. Orrit, Annu. Rev. Phys. Chem. 0066-426X 10.1146/annurev.physchem.54.011002.103816 55, 585 (2004); P. Tinnefeld and M. Sauer, Angew. Chem., Int. Ed. 44, 2642 (2005).
3. W. E. Moerner and M. Orrit, Science 0036-8075 10.1126/science.283.5408. 1670 283, 1670 (1999); F. Kulzer and M. Orrit, Annu. Rev. Phys. Chem. 0066-426X 10.1146/annurev.physchem.54.011002.103816 55, 585 (2004); P. Tinnefeld and M. Sauer, Angew. Chem., Int. Ed. 44, 2642 (2005).
4. W. E. Moerner, Science 277, 1059 (1997).
5. T. Basche, S. Kummer, and C. Brauchle, Nature (London) 373, 132 (1995).
6. R. M. Dickson, A. B. Cubitt, R. Y. Tsien, and W. E. Moerner, Nature (London) 388, 355 (1997).
7. D. A. VandenBout, W. T. Yip, D. H. Hu, D. K. Fu, T. M. Swager, and P. F. Barbara, Science 277, 1074 (1997).
8. M. Kuno, D. P. Fromm, H. F. Hamann, A. Gallagher, and D. J. Nesbitt, J. Chem. Phys. 112, 3117 (2000).
9. K. T. Shimizu, R. G. Neuhauser, C. A. Leatherdale, S. A. Empedocles, W. K. Woo, and M. G. Bawendi, Phys. Rev. B 63, 205316 (2001).
10. R. G. Neuhauser, K. T. Shimizu, W. K. Woo, S. A. Empedocles, and M. G. Bawendi, Phys. Rev. Lett. 85, 3301 (2000).
11. J. P. Hoogenboom, E. M. H. P. van Dijk, J. Hernando, N. F. van Hulst, and M. F. Garcia-Parajo, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.95.097401 95, 097401 (2005); J. Schuster, F. Cichos, and C. von Borczyskowski, Appl. Phys. Lett. 87, 051915 (2005).
12. J. P. Hoogenboom, E. M. H. P. van Dijk, J. Hernando, N. F. van Hulst, and M. F. Garcia-Parajo, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.95.097401 95, 097401 (2005); J. Schuster, F. Cichos, and C. von Borczyskowski, Appl. Phys. Lett. 87, 051915 (2005).
13. R. J. Cook and H. J. Kimble, Phys. Rev. Lett. 54, 1023 (1985).
14. M. Orrit and J. Bernard, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett. 65.2716 65, 2716 (1990); J. A. Veerman, M. F. Garcia-Parajo, L. Kuipers, and N. F. van Hulst, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.83.2155 83, 2155 (1999); F. Kohn, J. Hofkens, R. Gronheid, M. Van der Auweraer, and F. C. De Schryver, J. Phys. Chem. A 1089-5639 10.1021/jp012959u 106, 4808 (2002); P. Tinnefeld, J. Hofkens, D.-P. Herten, S. Masuo, T. Vosch, M. Cotlet, S. Habuchi, K. Müllen, F. C. De Schryver, and M. Sauer, ChemPhysChem 1439-4235 10.1002/cphc.200400325 5, 1786 (2004); M. A. Kol'chenko, B. Kozankiewicz, A. Nicolet, and M. Orrit, Opt. Spectrosc. 98, 681 (2005).
15. M. Orrit and J. Bernard, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett. 65.2716 65, 2716 (1990); J. A. Veerman, M. F. Garcia-Parajo, L. Kuipers, and N. F. van Hulst, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.83.2155 83, 2155 (1999); F. Kohn, J. Hofkens, R. Gronheid, M. Van der Auweraer, and F. C. De Schryver, J. Phys. Chem. A 1089-5639 10.1021/jp012959u 106, 4808 (2002); P. Tinnefeld, J. Hofkens, D.-P. Herten, S. Masuo, T. Vosch, M. Cotlet, S. Habuchi, K. Müllen, F. C. De Schryver, and M. Sauer, ChemPhysChem 1439-4235 10.1002/cphc.200400325 5, 1786 (2004); M. A. Kol'chenko, B. Kozankiewicz, A. Nicolet, and M. Orrit, Opt. Spectrosc. 98, 681 (2005).
16. M. Orrit and J. Bernard, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett. 65.2716 65, 2716 (1990); J. A. Veerman, M. F. Garcia-Parajo, L. Kuipers, and N. F. van Hulst, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.83.2155 83, 2155 (1999); F. Kohn, J. Hofkens, R. Gronheid, M. Van der Auweraer, and F. C. De Schryver, J. Phys. Chem. A 1089-5639 10.1021/jp012959u 106, 4808 (2002); P. Tinnefeld, J. Hofkens, D.-P. Herten, S. Masuo, T. Vosch, M. Cotlet, S. Habuchi, K. Müllen, F. C. De Schryver, and M. Sauer, ChemPhysChem 1439-4235 10.1002/cphc.200400325 5, 1786 (2004); M. A. Kol'chenko, B. Kozankiewicz, A. Nicolet, and M. Orrit, Opt. Spectrosc. 98, 681 (2005).
17. M. Orrit and J. Bernard, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett. 65.2716 65, 2716 (1990); J. A. Veerman, M. F. Garcia-Parajo, L. Kuipers, and N. F. van Hulst, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.83.2155 83, 2155 (1999); F. Kohn, J. Hofkens, R. Gronheid, M. Van der Auweraer, and F. C. De Schryver, J. Phys. Chem. A 1089-5639 10.1021/jp012959u 106, 4808 (2002); P. Tinnefeld, J. Hofkens, D.-P. Herten, S. Masuo, T. Vosch, M. Cotlet, S. Habuchi, K. Müllen, F. C. De Schryver, and M. Sauer, ChemPhysChem 1439-4235 10.1002/cphc.200400325 5, 1786 (2004); M. A. Kol'chenko, B. Kozankiewicz, A. Nicolet, and M. Orrit, Opt. Spectrosc. 98, 681 (2005).
18. M. Orrit and J. Bernard, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett. 65.2716 65, 2716 (1990); J. A. Veerman, M. F. Garcia-Parajo, L. Kuipers, and N. F. van Hulst, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.83.2155 83, 2155 (1999); F. Kohn, J. Hofkens, R. Gronheid, M. Van der Auweraer, and F. C. De Schryver, J. Phys. Chem. A 1089-5639 10.1021/jp012959u 106, 4808 (2002); P. Tinnefeld, J. Hofkens, D.-P. Herten, S. Masuo, T. Vosch, M. Cotlet, S. Habuchi, K. Müllen, F. C. De Schryver, and M. Sauer, ChemPhysChem 1439-4235 10.1002/cphc.200400325 5, 1786 (2004); M. A. Kol'chenko, B. Kozankiewicz, A. Nicolet, and M. Orrit, Opt. Spectrosc. 98, 681 (2005).
19. M. Haase, C. G. Hübner, E. Reuther, A. Herrmann, K. Müllen, and T. Basche, J. Phys. Chem. B 108, 10445 (2004).
20. M. Kuno, D. P. Fromm, H. F. Hamann, A. Gallagher, and D. J. Nesbitt, J. Chem. Phys. 115, 1028 (2001).
21. W. van Sark, P. Frederix, A. A. Bol, H. C. Gerritsen, and A. Meijerink, ChemPhysChem 3, 871 (2002).
22. R. Verberk, A. M. van Oijen, and M. Orrit, Phys. Rev. B 66, 233202 (2002).
23. F. D. Stefani, W. Knoll, M. Kreiter, X. Zhong, and M. Y. Han, Phys. Rev. B 72, 125304 (2005).
24. R. Verberk, J. W. M. Chon, M. Gu, and M. Orrit, Physica E (Amsterdam) 1386-9477 10.1016/j.physe.2004.08.015 26, 19 (2005); A. Issac, C. von Borczyskowski, and F. Cichos, Phys. Rev. B 71, 161302 (2005).
25. R. Verberk, J. W. M. Chon, M. Gu, and M. Orrit, Physica E (Amsterdam) 1386-9477 10.1016/j.physe.2004.08.015 26, 19 (2005); A. Issac, C. von Borczyskowski, and F. Cichos, Phys. Rev. B 71, 161302 (2005).
26. X. Brokmann, J. P. Hermier, G. Messin, P. Desbiolles, J. P. Bouchaud, and M. Dahan, Phys. Rev. Lett. 90, 120601 (2003).
27. E. Lutz, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.93.190602 93, 190602 (2004); G. Margolin and E. Barkai, Phys. Rev. Lett. 94, 080601 (2005).
28. E. Lutz, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.93.190602 93, 190602 (2004); G. Margolin and E. Barkai, Phys. Rev. Lett. 94, 080601 (2005).
29. E. K. L. Yeow, S. M. Melnikov, T. D. M. Bell, F. C. De Schryver, and J. Hofkens, J. Phys. Chem. A 110, 1726 (2006).
30. T. D. Krauss and L. E. Brus, Phys. Rev. Lett. 83, 4840 (1999).
31. R. Zondervan, F. Kulzer, S. B. Orlinskii, and M. Orrit, J. Phys. Chem. A 107, 6770 (2003).
32. J. Tang and R. A. Marcus, J. Chem. Phys. 123, 054704 (2005).
33. G. Margolin, V. Protasenko, M. Kuno, and E. Barkai, e-print cond-mat/0506512.
34. M. Kuno, D. P. Fromm, S. T. Johnson, A. Gallagher, and D. J. Nesbitt, Phys. Rev. B 67, 125304 (2003).
35. I. S. Osad'ko, JETP Lett. 79, 522 (2004).
36. G. Messin, J. P. Hermier, E. Giacobino, P. Desbiolles, and M. Dahan, Opt. Lett. 0146-9592 26, 1891 (2001); R. Verberk and M. Orrit, J. Chem. Phys. 119, 2214 (2003).
37. G. Messin, J. P. Hermier, E. Giacobino, P. Desbiolles, and M. Dahan, Opt. Lett. 0146-9592 26, 1891 (2001); R. Verberk and M. Orrit, J. Chem. Phys. 119, 2214 (2003).
38. M. Pelton, D. G. Grier, and P. Guyot-Sionnest, Appl. Phys. Lett. 85, 819 (2004).
39. J. Tellinghuisen and C. W. Wilkerson, Anal. Chem. 65, 1240 (1993).
40. M. Maus, M. Cotlet, J. Hofkens, T. Gensch, F. C. De Schryver, J. Schaffer, and C. A. M. Seidel, Anal. Chem. 73, 2078 (2001).
41. M. L. Goldstein, S. A. Morris, and G. G. Yen, Eur. Phys. J. B 41, 255 (2004).
42. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannert, Numerical Recipes in C: The Art of Scientific Computing, 2nd ed. (Cambridge University Press, Cambridge, 1992).
43. P. Hall and B. Selinger, J. Phys. Chem. 0022-3654 10.1021/j150620a019 85, 2941 (1981); C. Moore, S. P. Chan, J. N. Demas, and B. A. DeGraff, Appl. Spectrosc. 58, 603 (2004).
44. P. Hall and B. Selinger, J. Phys. Chem. 0022-3654 10.1021/j150620a019 85, 2941 (1981); C. Moore, S. P. Chan, J. N. Demas, and B. A. DeGraff, Appl. Spectrosc. 58, 603 (2004).
45. K. D. Osborn, M. K. Singh, R. J. B. Urbauer, and C. K. Johnson, ChemPhysChem 4, 1005 (2003).
46. D. A. Koster, C. H. Wiggins, and N. H. Dekker, Proc. Natl. Acad. Sci. U.S.A. 103, 1750 (2006).
47. J. P. Hoogenboom, J. Hernando, E. M. P. H. Van Dijk, N. F. van Hulst, and M. F. Garcia-Parajo (unpublished).
48. F. D. Stefani, X. H. Zhong, W. Knoll, M. Y. Han, and M. Kreiter, New J. Phys. 7, 197 (2005).
49. M. Lippitz, F. Kulzer, and M. Orrit, ChemPhysChem 6, 770 (2005).
50. www.random.org
51. K. Zhang, H. Chang, A. Fu, A. P. Alivisatos, and H. Yang, Nano Lett. 6, 843 (2006).
52. R. Albert, H. Jeong, and A.-L. Barabási, Nature (London) 0028-0836 10.1038/43601 401, 130 (1999); B. A. Huberman and L. A. Adamic, Nature (London) 401, 131 (1999).
53. R. Albert, H. Jeong, and A.-L. Barabási, Nature (London) 0028-0836 10.1038/43601 401, 130 (1999); B. A. Huberman and L. A. Adamic, Nature (London) 401, 131 (1999).
54. M. W. Hahn and R. A. Bentley, Proc. R. Soc. London, Ser. B 270, S120 (2003).
55. A.-L. Barabási, Nature (London) 435, 207 (2005).
56. S. Redner, Eur. Phys. J. B 4, 131 (1998).
57. P. Bak, K. Christensen, L. Danon, and T. Scanlon, Phys. Rev. Lett. 88, 178501 (2002).