Characterization of the dynamics of block copolymer microdomains with local morphological measures

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 77, Issue 5, 2008, Pages

  Rehse, S ^a   Mecke, K ^b   Magerle, R ^a  

^a CHEMNITZ UNIVERSITY OF TECHNOLOGY   (Germany)

^b UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL GEOMETRY; IMAGE ANALYSIS; OPTICAL RESOLVING POWER; SCANNING PROBE MICROSCOPY;

MORPHOLOGICAL MEASURES; SKELETONIZED STRUCTURE;

BLOCK COPOLYMERS;

EID: 44449089080     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.77.051805     Document Type: Article

References (79)

1. C. Park, J. Yoon, and E. L. Thomas, Polymer POLMAG 0032-3861 10.1016/j.polymer.2003.08.011 44, 6725 (2003).
2. R. A. Segalman, H. Yokoyama, and E. J. Kramer, Adv. Mater. 13, 1152 (2001). 0935-9648
3. T. L. Morkved, M. Lu, A. M. Urbas, E. E. Ehrichs, H. M. Jaeger, P. Mansky, and T. P. Russell, Science SCIEAS 0036-8075 10.1126/science.273.5277.931 273, 931 (1996).
4. T. Thurn-Albrecht, J. DeRouchey, T. P. Russell, and R. Kolb, Macromolecules MAMOBX 0024-9297 10.1021/ma020567v 35, 8106 (2002).
5. J.-Y. Wang, T. Xu, J. M. Leiston-Belanger, S. Gupta, and T. P. Russell, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.128301 96, 128301 (2006).
6. D. Angelescu, J. H. Waller, D. H. Adamson, P. Deshpande, S. Y. Chou, R. A. Register, and P. M. Chaikin, Adv. Mater. 16, 1736 (2004). 0935-9648
7. D. A. Hajduk, S. M. Gruner, P. Rangarajan, R. A. Register, L. J. Fetters, C. Honeker, R. J. Albalak, and E. L. Thomas, Macromolecules MAMOBX 0024-9297 10.1021/ma00080a024 27, 490 (1994).
8. S. Sakurai, T. Hashimoto, and L. J. Fetters, Macromolecules MAMOBX 0024-9297 10.1021/ma9502516 29, 740 (1996).
9. K. Kimishima, T. Koga, and T. Hashimoto, Macromolecules MAMOBX 0024-9297 10.1021/ma991470k 33, 968 (2000).
10. M. W. Matsen, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1365085 114, 8165 (2001).
11. A. Knoll, A. Horvat, K. S. Lyakhova, G. Krausch, G. J. A. Sevink, A. V. Zvelindovsky, and R. Magerle, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.035501 89, 035501 (2002).
12. C.-Y. Wang and T. P. Lodge, Macromolecules MAMOBX 0024-9297 10.1021/ma0205212 35, 6997 (2002).
13. J. Hahm, W. A. Lopes, H. M. Jaeger, and S. J. Sibener, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.477702 109, 10111 (1998).
14. C. K. Harrison, D. H. Adamson, Z. Cheng, J. M. Sebastian, S. Sethuraman, D. A. Huse, R. A. Register, and P. M. Chaikin, Science SCIEAS 0036-8075 10.1126/science.290.5496.1558 290, 1558 (2000).
15. J. Hahm and S. J. Siebener, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1342239 114, 4730 (2001).
16. C. K. Harrison, Z. Cheng, S. Sethuraman, D. A. Huse, P. M. Chaikin, D. A. Vega, J. M. Sebastian, R. A. Register, and D. H. Adamson, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.011706 66, 011706 (2002).
17. A. Knoll, K. S. Lyakhova, A. Horvat, G. Krausch, G. J. A. Sevink, A. V. Zvelindovsky, and R. Magerle, Nat. Mater. NMAACR 1476-1122 10.1038/nmat1258 3, 886 (2004).
18. L. Tsarkova, A. Knoll, and R. Magerle, Nano Lett. NALEFD 1530-6984 10.1021/nl060825s 6, 1574 (2006).
19. L. Tsarkova, A. Horvat, G. Krausch, A. V. Zvelindovsky, G. J. A. Sevink, and R. Magerle, Langmuir LANGD5 0743-7463 10.1021/la0613530 22, 8089 (2006).
20. K. Amundson, E. Helfand, D. D. Davis, X. Quan, S. S. Patel, and S. D. Smith, Macromolecules MAMOBX 0024-9297 10.1021/ma00024a030 24, 6546 (1991).
21. T. Thurn-Albrecht, J. DeRouchy, T. P. Russell, and H. M. Jäger, Macromolecules MAMOBX 0024-9297 10.1021/ma991896z 33, 3250 (2000).
22. A. BÃker, A. Knoll, H. Elbs, V. Abetz, A. H. E. Müller, and G. Krausch, Macromolecules MAMOBX 0024-9297 10.1021/MA0108113 35, 1319 (2002).
23. A. V. Kyrylyuk, A. V. Zvelindovsky, G. J. A. Sevink, and J. G. E. M. Fraaije, Macromolecules MAMOBX 0024-9297 10.1021/ma0110756 35, 1473 (2002)
24. A. V. Zvelindovsky and G. J. A. Sevink, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.049601 90, 049601 (2003).
25. T. Xu, A. V. Zvelindovsky, G. J. A. Sevink, O. Gang, B. Ocko, Y. Zhu, S. P. Gido, and T. P. Russell, Macromolecules MAMOBX 0024-9297 10.1021/ma049235b 37, 6980 (2004).
26. T. Xu, A. V. Zvelindovsky, G. J. A. Sevink, K. S. Lyakhova, H. Jinnai, and T. P. Russell, Macromolecules MAMOBX 0024-9297 10.1021/ma050521c 38, 10788 (2005).
27. K. Schmidt, A. BÃker, H. Zettl, F. Schubert, H. Hänsel, F. Fischer, T. M. Weiss, V. Abetz, A. V. Zvelindovsky, G. J. A. Sevink, and G. Krausch, Langmuir LANGD5 0743-7463 10.1021/la051346w 21, 11974 (2005).
28. V. Olszowka, M. Hund, V. Kuntermann, S. Scherdel, L. Tsarkova, A. BÃker, and G. Krausch, Soft Matter SMOABF 1744-683X 10.1039/b612304j 2, 1089 (2006).
29. K. Schmidt, H. G. Schoberth, F. Schubert, H. Hänsel, F. Fischer, T. M. Weiss, G. J. A. Sevink, A. V. Zvelindovsky, A. BÃker, and G. Krausch, Soft Matter SMOABF 1744-683X 10.1039/b614143a 3, 448 (2007).
30. K. I. Winey, S. S. Patel, R. G. Larson, and H. Watanabe, Macromolecules MAMOBX 0024-9297 10.1021/ma00068a047 26, 4373 (1993).
31. G. Schmidt, W. Richtering, P. Lindner, and P. Alexandridis, Macromolecules MAMOBX 0024-9297 10.1021/ma971363v 31, 2293 (1998).
32. A. V. Zvelindovsky, G. J. A. Sevink, B. A. C. van Vlimmeren, N. M. Maurits, and J. G. E. M. Fraaije, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.57.R4879 57, R4879 (1998).
33. A. V. Zvelindovsky, G. J. A. Sevink, and J. G. E. M. Fraaije, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.62.R3063 62, R3063 (2000).
34. A. V. Zvelindovsky and G. J. A. Sevink, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2003-00406-6 62, 370 (2003).
35. J. Bodycomb, Y. Funaki, K. Kimishima, and T. Hashimoto, Macromolecules MAMOBX 0024-9297 10.1021/ma981538g 32, 2075 (1999).
36. I. W. Hamley, V. Castelletto, O. O. Mykhaylyk, and Z. Yang, Langmuir LANGD5 0743-7463 10.1021/la0484927 20, 10785 (2004).
37. G. Binning, H. Rohrer, C. Gerber, and E. Weibel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.49.57 49, 57 (1982).
38. S. N. Magonov and M.-H. Whangbo, Surface Analysis with STM and AFM (VCH, Weinheim, 1996).
39. P. K. Hansma, G. Schitter, G. E. Fantner, and C. Prater, Science SCIEAS 0036-8075 10.1126/science.1133497 314, 601 (2006).
40. K. S. Lyakhova, A. Horvat, A. V. Zvelindovsky, and G. J. A. Sevink, Langmuir LANGD5 0743-7463 10.1021/la060265c 22, 5848 (2006).
41. K. S. Lyakhova, A. V. Zvelindovsky, and G. J. A. Sevink, Macromolecules MAMOBX 0024-9297 10.1021/ma060143r 39, 3024 (2006).
42. S. Scherdel, H. G. Schoberth, and R. Magerle, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.2747598 127, 014903 (2007).
43. R. A. Segalman, A. Hexemer, R. C. Hayward, and E. J. Kramer, Macromolecules MAMOBX 0024-9297 10.1021/ma021367m 36, 3272 (2003).
44. R. A. Segalman, A. Hexemer, and E. J. Kramer, Macromolecules MAMOBX 0024-9297 10.1021/ma0257696 36, 6831 (2003).
45. D. A. Vega, C. K. Harrison, D. E. Angelescu, M. L. Trawick, D. A. Huse, P. M. Chaikin, and R. A. Register, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.061803 71, 061803 (2005).
46. P. Soille, Morphological Image Analysis (Springer, New York, 2003).
47. G. J. A. Sevink and A. V. Zvelindovsky, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1774982 121, 3864 (2004).
48. M. Pinna, A. V. Zvelindovsky, S. Todd, and G. Goldbeck-Wood, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.2356468 125, 154905 (2006).
49. G. J. A. Sevink, in Nanostructured Soft Matter: Experiments, Theory Perspectives, edited by, A. V. Zvelindovsky, (Springer, New York, 2007).
50. A. Rosenfeld and A. C. Kak, Digital Picture Processing (Academic, New York, 1976).
51. J. Serra, Image Analysis and Mathematical Morphology (Academic, New York, 1982).
52. L. A. Santaló, Integral Geometry and Geometric Probability (Addison-Wesley, Reading, MA, 1976).
53. K. R. Mecke, Int. J. Mod. Phys. B IJPBEV 0217-9792 10.1142/ S0217979298000491 12, 861 (1998).
54. K. R. Mecke, Additivity, Convexity, and Beyond: Applications of Minkowski Functionals in Statistical Physics, Lecture Notes in Physics (Springer, New York, 2000), Vol. 554, p. 111.
55. K. R. Mecke, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.53.4794 53, 4794 (1996).
56. J. Becker, G. Grün, R. Seemann, H. Mantz, K. Jacobs, K. Mecke, and R. Blossey, Nat. Mater. NMAACR 1476-1122 10.1038/nmat788 2, 59 (2003)
57. R. Fetzer, M. Rauscher, R. Seemann, K. Jacobs, and K. Mecke, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.114503 99, 114503 (2007).
58. C. H. Arns, M. A. Knackstedt, W. V. Pinczewski, and K. R. Mecke, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.63.031112 63, 031112 (2001)
59. C. H. Arns, M. A. Knackstedt, and K. R. Mecke, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.215506 91, 215506 (2003).
60. K. Jacobs, R. Seemann, and K. Mecke, Dynamics of Dewetting and Structure Formation in Thin Liquid Films, Lecture Notes in Physics (Springer, New York, 2000), Vol. 554, p. 72.
61. K. Michielsen, H. De Raedt, and J. G. E. M. Fraaije, Prog. Theor. Phys. Suppl. 138, 543 (2000). 0033-068X
62. A. Aksimentiev, K. Moorthi, and R. Holyst, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.481178 112, 6049 (2000).
63. Morphology of Condensed Matter. Physics and Geometry of Spatially Complex Systems, edited by, K. R. Mecke, and, D. Stoyan, Lecture Notes in Physics (Springer, New York, 2002), Vol. 600.
64. J. S. Gutmann, P. Müller-Buschbaum, and M. Stamm, Faraday Discuss. 112, 285 (1999). 1359-6640
65. J. Raczkowska, J. Rysz, A. Budkowski, J. Lekki, M. Lekka, A. Bernasik, K. Kowalski, and P. Czuba, Macromolecules MAMOBX 0024-9297 10.1021/ma020870w 36, 2419 (2003).
66. A. Bernasik, J. Rysz, A. Budkowski, R. Brenn, K. Kowalski, J. Camra, and J. JedliÅ.,ski, Eur. Phys. J. E EPJSFH 1292-8941 10.1140/epje/i2003-10048- 0 12, 211 (2003).
67. J. Raczkowska, A. Bernasik, A. Budkowski, K. Sajewicz, B. Penc, J. Lekki, M. Lekka, J. Rysz, K. Kowalski, and P. Czuba, Macromolecules MAMOBX 0024-9297 10.1021/ma035815h 37, 7308 (2004).
68. J. Raczkowska, A. Bernasik, A. Budkowski, J. Rysz, K. Kowalski, M. Lekka, P. Czuba, and J. Lekki, Thin Solid Films THSFAP 0040-6090 10.1016/j.tsf.2004. 10.005 476, 358 (2005).
69. J. Raczkowska, P. Cyganik, A. Budkowski, A. Bernasik, J. Rysz, I. Raptis, P. Czuba, and K. Kowalski, Macromolecules 38, 8486 (2005). 0024-9297
70. J. Raczkowska, A. Bernasik, A. Budkowski, P. Cyganik, J. Rysz, I. Raptis, and P. Czuba, Surf. Sci. SUSCAS 0039-6028 10.1016/j.susc.2005.12.033 600, 1004 (2006).
71. M. BÃhme, thesis, Technische Universität Chemnitz, 2007.
72. A. Knoll, R. Magerle, and G. Krausch, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1627324 120, 1105 (2004).
73. NanoScope Software 6.13, Veeco Instuments Inc.
74. S. Scherdel, S. Wirtz, N. Rehse, and R. Magerle, Nanotechnology NNOTER 0957-4484 10.1088/0957-4484/17/3/044 17, 881 (2006).
75. H. Hadwiger, Vorlesungen über Inhalt, Oberfläche und Isoperimetrie (Springer, Berlin, 1957).
76. L. Lam, S.-W. Lee, and C. Y. Suen, IEEE Trans. Pattern Anal. Mach. Intell. ITPIDJ 0162-8828 10.1109/34.161346 14, 869 (1992).
77. M. W. Jones, J. A. Baerentzen, and M. Sramek, IEEE Trans. Vis. Comput. Graph. ITVGEA 1077-2626 10.1109/TVCG.2006.56 12, 581 (2006).
78. See also Ref., p. 340.
79. K. Mecke and D. Stoyan, Biom. J. BIJODN 0323-3847 47, 473 (2005).