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On the Manipulation of Nanoscale Self-Assembly by Elastic Field

Published online by Cambridge University Press:  01 February 2011

Y.F. Gao*
Affiliation:
Division of Engineering, Brown University, Providence, RI 02920, U.S.A.
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Abstract

Morphological and compositional self-assembly can be manipulated by the long-range elastic field. This paper gives a universal formulation that determines the dependence of energetically favored orientation of those self-assembled structures on the elastic interaction. Elasticity anisotropy can lead to symmetry breaking and herringbone structures. A layered substrate can tune the feature size by modulus mismatch, or tune the orientation if the layers have different orientation preference, or guide the self-assembly by embedded structures. A closed-form result is derived for elastically isotropic layers by using Dundurs parameters. The self-assembled structures can also be affected by a nonuniform residual stress field or external force field. Higher order (nonlinear) perturbation theory, coupling between morphology and composition, and other issues are also addressed in the discussion.

Type
Research Article
Copyright
Copyright © Materials Research Society 2004

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References

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