Morphologies of epitaxial islands on a lattice-misfitted substrate |
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Authors: | Wang Jian-Ping Zhou Wang-Min Wang Chong-Yu and Yin Shu-Yuan |
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Institution: | College of Mechanical {\& Electrical Engineering,
Zhejiang University of Technology, Hangzhou 310032, China;Department of Mechanical Engineering, West
Branch of
Zhejiang University of Technology, Quzhou 324000, China; College of Science, Zhejiang University of Technology,
Hangzhou 310023, China; Department of Mechanical Engineering, West
Branch of
Zhejiang University of Technology, Quzhou 324000, China; Department of Physics, Tsinghua University, Beijing
100084, China |
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Abstract: | Under certain growth conditions for systems with a film/substrate
lattice misfit, the deposited material is known to aggregate into
island-like shapes. We have obtained an analytical expression of the
total free energy, which consists of strain energy, surface energy
and interfacial energy of a coherent island/substrate system, and
the change of equilibrium aspect ratio versus the volume of the
island and the misfit of lattices in the system, which provides a
broad perspective on island behaviour. These then were used to study
the equilibrium shapes of the system. The results show that in order
to minimize the total free energy, a coherent island will have a
particular height-to-width aspect ratio, called equilibrium aspect
ratio, that is a function of the island volume and misfit. The
aspect ratio is increased with increasing island volume at a fixed
misfit, and with increasing misfit strain between the island and
substrate at a fixed island volume. Moreover, the effect of misfit
dislocation on the equilibrium shape of the island is also examined.
The results obtained are in good agreement with experiment of
observations and thus can serve as a basis for interpreting the
experiments. |
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Keywords: | epitaxial island free energy equilibrium shape |
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