Single-Crystal Diffraction from Two-Dimensional Block Copolymer Arrays

G. E. Stein, E. J. Kramer, X. Li, and J. Wang

Phys. Rev. Lett. 98, 086101 – Published 20 February 2007

Abstract

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 $μ = 2 \times 10^{- 4} N / m$ .

Received 6 September 2006

DOI:https://doi.org/10.1103/PhysRevLett.98.086101

Authors & Affiliations

G. E. Stein¹, E. J. Kramer^1,2,*, 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

^*Electronic address: edkramer@mrl.ucsb.edu

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Issue

Vol. 98, Iss. 8 — 23 February 2007

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