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Multi-scale Modelling of Epitaxial Growth Kenneth R. Elder (Oakland University), DMR 0413062

Multi-scale Modelling of Epitaxial Growth Kenneth R. Elder (Oakland University), DMR 0413062.

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Multi-scale Modelling of Epitaxial Growth Kenneth R. Elder (Oakland University), DMR 0413062

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  1. Multi-scale Modelling of Epitaxial Growth Kenneth R. Elder (Oakland University), DMR 0413062 When a thin film is grown coherently on a substrate, the mismatch between the film and substrate lattice constants can lead to an instability of the film to buckle and form islands. While in some applications this instability is detrimental (since it may compromise the electronic or mechanical properties of the film), in others it is exploited to self-assemble a variety of technologically important nano-structures such as quantum dots and nano-wires. In this work the PI and collaborators developed a method for predicting the instability that includes both long-wavelength continuum elasticity theory and the discrete nature of the underlying lattice, i.e., a true multi-scale approach. Quantitatively different behavior was predicted in the small and large misfit limits that may help understand recent experiments on SiGe films that do not agree with continuum predictions. Fig. 1) Island formation of a coherently strained epitaxial film. The grey dots in this figure correspond to average atomic positions.

  2. Multi-scale Modelling of Epitaxial GrowthKenneth R. Elder (Oakland University), DMR 0413062 • The research conducted for DMR-Award #413062 has had a broad impact in many areas. The work has involved international collaborations and visits (08/07 HUT Finland, 11/07 McGill U. Canada, 06/08 INPE Brazil, 07/08 RWTH Germany) extended lectures at workshops (06/07 5th BIMR Workshop on Advanced Materials, McMaster U., Canada, SPP1296-Summer school 2008, Heterogenous Nucleation and Microstructure Formation”, Germany) and many invited talks at conferences, institutes and Universities (07/07, NSF-EC Workshop, Dresden, 08/07, 15th International Conference on Crystal Growth, 09/07 MS&T'07 Material Science and Technology Conference and Exhibition, 03/08 TMS Annual Meeting, 05/08 SIAM Conference on Mathematical Aspects of Materials Science, 07/08 RWTH Aachen University, Germany, 08/08 Ruhr-University Bochum, Germany). In addition the PI has supervised undergraduate research projects. Fig. 2) Collaborators on #0413062, clockwise from top left; S. Mkhonta (McGill, Canada), E. Granto (INPE, Brazil), M. Grant (McGill, Canada), Z-F Huang (Wayne State, MI), K. Thornton (U. of Michigan, MI).

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