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Metastability in 2D self-assembling systems.

N V Medhekar1, V B Shenoy, J B Hannon

  • 1Division of Engineering, Brown University, Providence, Rhode Island 02912, USA.

Physical Review Letters
|November 13, 2007
PubMed
Summary
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Self-assembled 2D domains form diverse, long-lived shapes due to crystal properties and strain. A unified framework explains these metastable shapes, classifying them by size in a phase diagram.

Area of Science:

  • Materials Science
  • Condensed Matter Physics
  • Surface Science

Background:

  • Self-assembled 2D domains on substrates exhibit complex morphologies.
  • The shapes are influenced by crystalline anisotropy and elastic strain relaxation.

Purpose of the Study:

  • To explain the variety of observed metastable shapes of 2D self-assembled domains.
  • To develop a unified theoretical framework for understanding these shapes.
  • To systematically classify metastable shapes using a phase diagram.

Main Methods:

  • Theoretical modeling of 2D self-assembled domains.
  • Analysis of the interplay between crystalline anisotropy and elastic strain.
  • Development of a phase diagram based on domain size.

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Main Results:

  • Identified diverse metastable shapes including triangular, compact, and elongated structures.
  • Demonstrated that a unified framework can explain experimentally observed shapes.
  • Classified shapes based on size and identified distinct regimes.

Conclusions:

  • The interplay of crystalline anisotropy and elastic strain dictates the metastable shapes of 2D self-assembled domains.
  • A unified theoretical approach successfully explains the observed morphological diversity.
  • A size-dependent phase diagram provides a systematic classification of these metastable shapes.