OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Vol. 17, Iss. 6 — Jun. 1, 2000
  • pp: 904–909

Characterization of two-dimensional colloidal polycrystalline materials using optical diffraction

Ivan Avrutsky, Bing Li, and Yang Zhao  »View Author Affiliations

JOSA B, Vol. 17, Issue 6, pp. 904-909 (2000)

View Full Text Article

Enhanced HTML    Acrobat PDF (573 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We present an optical-diffraction method for quantitative characterization of two-dimensional colloidal polycrystalline materials. From the angular-diffraction profile we can estimate both the average size of the crystalline grain and the defect density within the grains. Our statistical diffraction model shows that the diffraction line shape is close to a Lorentzian profile if a lot of defects exist within a grain, and it becomes close to Gaussian if the grains are essentially free of defects. This method is used for analyzing the quality of polystyrene colloidal crystals produced by the evaporation technique. The results are compared with direct statistical analysis of microscope images.

© 2000 Optical Society of America

OCIS Codes
(050.1940) Diffraction and gratings : Diffraction
(050.2770) Diffraction and gratings : Gratings
(070.2590) Fourier optics and signal processing : ABCD transforms

Ivan Avrutsky, Bing Li, and Yang Zhao, "Characterization of two-dimensional colloidal polycrystalline materials using optical diffraction," J. Opt. Soc. Am. B 17, 904-909 (2000)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. E. Yablonovitch, “Inhibited spontaneous emission in solid state physics and electronics,” Phys. Rev. Lett. 58, 2059 (1987). [CrossRef] [PubMed]
  2. J. Joannopoulos, R. Meade, and J. Winn, Photonic Crystals (Princeton Press, Princeton, NJ, 1995); J. D. Joannopoulos, P. R. Villenenve, and S. Fan, “Photonic crystals: putting a new twist on light,” Nature (London) 386, 143–149 (1997). [CrossRef]
  3. Y. Zhao and I. Avrutsky, “Two-dimensional colloidal crystal corrugated waveguide,” Opt. Lett. 24, 817–819 (1999); Y. Zhao, I. Avrutsky, and B. Li, “Optical coupling between monocrystalline colloidal crystals and a planar waveguide,” Appl. Phys. Lett. 75, 3596–3598 (1999). [CrossRef]
  4. O. D. Velev, T. A. Jede, R. F. Lobo, and A. M. Lenhoff, “Microstructured porous silica via colloidal crystallization,” Nature (London) 389, 447–448 (1997). [CrossRef]
  5. J. E. G. J. Wijnhoven and W. L. Vos, “Preparation of photonic crystals made of air spheres in Titania,” Science 281, 802–804 (1998). [CrossRef]
  6. B. T. Holland, C. F. Blanford, and A. Stein, “Synthesis of microporous minerals with highly ordered three-dimensional arrays of spheroidal voids,” Science 281, 538–540 (1998). [CrossRef] [PubMed]
  7. K. Busch and S. John, “Photonic band gap formation in certain self-organizing system,” Phys. Rev. E 58, 3896–3908 (1998). [CrossRef]
  8. O. D. Velev, T. A. Jede, R. F. Lobo, and A. M. Lenhoff, “Microstructureed porous silica obtained via colloidal crystal templates,” Chem. Mater. 10, 3597–3602 (1998). [CrossRef]
  9. N. D. Denkov, O. D. Velev, P. A. Kralchevsky, L. B. Ivanov, H. Yoshimura, and K. Nagayama, “Mechanism of formation of two-dimensional crystals from latex particles on substrates,” Langmuir 8, 3183–3190 (1992). [CrossRef]
  10. P. Pieranski, “Colloidal crystals,” Contemp. Phys. 24, 25–73 (1983). [CrossRef]
  11. S. H. Park, D. Qin, and Y. Xia, “Crystallization of mesoscale particles over large areas,” Adv. Mater. 10, 1028–1032 (1998). [CrossRef]
  12. R. Mayoral, J. Requena, J. S. Moya, C. Lopez, A. Cintas, H. Miguez, F. Meseguer, L. Vazquez, M. Holgado, and A. Blanco, “3D long-range ordering in an SiO2 submicrometer sphere sintered superstructures,” Adv. Mater. 9, 257–260 (1997). [CrossRef]
  13. A. E. Larsen and D. G. Grier, “Melting of metastable crystallites in charge-stabilized colloidal suspensions,” Phys. Rev. Lett. 76, 3862–3865 (1996). [CrossRef] [PubMed]
  14. S. Rakers, L. F. Chi, and H. Fuche, “Influence of the evaporation rate on the packing order of polydisperse latex monofilms,” Langmuir 13, 7121–7124 (1997). [CrossRef]
  15. A. N. Fitch, “High resolution powder diffraction studies of poly-crystalline materials,” Nucl. Instrum. Methods Phys. Res. 97, 63–69 (1995). [CrossRef]
  16. M. Born and E. Wolf, “Fraunhofer and Fresnel diffraction,” in Principles of Optics (Pergamon Press, New York, 1964), Section 8.3.3.

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited