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Phys. Rev. Lett. 98, 086101 (2007) [4 pages]

Single-Crystal Diffraction from Two-Dimensional Block Copolymer Arrays

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G. E. Stein1, E. J. Kramer1,2,*, X. Li3, and J. Wang3
1Department of Chemical Engineering, University of California, Santa Barbara, California 93106, USA
2Department of Materials, University of California, Santa Barbara, California 93106 USA
3Advanced Photon Source, Argonne National Laboratory, Argonne, Illinois 60439, USA

Received 6 September 2006; published 20 February 2007

The structure of oriented 2D block copolymer single crystals is characterized by grazing-incidence small-angle x-ray diffraction, demonstrating long-range sixfold orientational order. From line shape analysis of the higher-order Bragg diffraction peaks, we determine that translational order decays algebraically with a decay exponent η=0.2, consistent with the Kosterlitz-Thouless-Halperin-Nelson-Young theory for a 2D crystal with a shear modulus μ=2×10-4  N/m.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.98.086101
DOI:
10.1103/PhysRevLett.98.086101
PACS:
68.47.Pe, 61.10.Eq, 62.20.Dc, 68.65.−k

*Electronic address: edkramer@mrl.ucsb.edu