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Applied Optics

Applied Optics


  • Editor: James C. Wyant
  • Vol. 47, Iss. 11 — Apr. 10, 2008
  • pp: 1867–1879

Crystallography of ordered colloids using optical microscopy. 2. Divergent-beam technique

Richard B. Rogers and K. Peter D. Lagerlöf  »View Author Affiliations

Applied Optics, Vol. 47, Issue 11, pp. 1867-1879 (2008)

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A technique has been developed to extract quantitative crystallographic data from randomly oriented colloidal crystals using a divergent-beam approach. This technique was tested on a series of diverse experimental images of colloidal crystals formed from monodisperse suspensions of sterically stabilized poly-(methyl methacrylate) spheres suspended in organic index-matching solvents. Complete sets of reciprocal lattice basis vectors were extracted in all but one case. When data extraction was successful, results appeared to be accurate to about 1% for lattice parameters and to within ~ 2 ° for orientation. This approach is easier to implement than a previously developed parallel-beam approach with the drawback that the divergent-beam approach is not as robust in certain situations with random hexagonal close-packed crystals. The two techniques are therefore complimentary to each other, and between them it should be possible to extract quantitative crystallographic data with a conventional optical microscope from any closely index-matched colloidal crystal whose lattice parameters are compatible with visible wavelengths.

© 2008 Optical Society of America

OCIS Codes
(180.0180) Microscopy : Microscopy
(050.5298) Diffraction and gratings : Photonic crystals

ToC Category:

Original Manuscript: December 18, 2007
Revised Manuscript: February 15, 2008
Manuscript Accepted: February 15, 2008
Published: April 4, 2008

Richard B. Rogers and K. Peter D. Lagerlöf, "Crystallography of ordered colloids using optical microscopy. 2. Divergent-beam technique," Appl. Opt. 47, 1867-1879 (2008)

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