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Single-crystal diffraction from two-dimensional block copolymer arrays.

G E Stein1, E J Kramer, X Li

  • 1Department of Chemical Engineering, University of California-Santa Barbara, Santa Barbara, CA 93106, USA.

Physical Review Letters
|March 16, 2007
PubMed
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Oriented 2D block copolymer crystals exhibit sixfold order. Translational order decays algebraically, aligning with Kosterlitz-Thouless-Halperin-Nelson-Young theory for 2D crystals.

Area of Science:

  • Materials Science
  • Polymer Science
  • Condensed Matter Physics

Background:

  • Block copolymers self-assemble into ordered nanostructures.
  • Understanding the structural properties of 2D crystalline phases is crucial for advanced materials.

Purpose of the Study:

  • To characterize the structure of oriented 2D block copolymer single crystals.
  • To determine the nature of translational order decay in these systems.

Main Methods:

  • Grazing-incidence small-angle X-ray diffraction (GISAXS) was employed.
  • Line shape analysis of higher-order Bragg diffraction peaks was performed.

Main Results:

  • Long-range sixfold orientational order was observed.

Related Experiment Videos

  • Translational order decays algebraically with a decay exponent eta=0.2.
  • A shear modulus of mu=2 x 10(-4) N/m was determined.

    • Conclusions:

    • The results are consistent with the Kosterlitz-Thouless-Halperin-Nelson-Young theory for 2D crystals.
    • This study provides insights into the fundamental properties of 2D block copolymer crystalline structures.