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Modelling Size-Selected Growth of Nanodots by Using Reaction Kinetic Approach

Published online by Cambridge University Press:  01 February 2011

Kirsi Nevalainen
Affiliation:
kirsi.nevalainen@gmail.com, Helsinki University of Technology, Laboratory of Physics, P.O. Box 1100, Espoo, 02015, Finland, +358 9 451 5810
Marko Rusanen
Affiliation:
marko.rusanen@gmail.com, Helsinki University of Technology, Laboratory of Physics, P.O. Box 1100, Espoo, 02015, Finland
Ismo T. Koponen
Affiliation:
ismo.koponen@helsinki.fi, Helsinki University of Technology, Laboratory of Physics, P.O. Box 1100, Espoo, 02015, Finland
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Abstract

The size selection of nanodots during the growth is modelled by using the reaction kinetic model with reaction rates for dot size dependent attachment and detachment processes, related to the free energy of dots. Long-lived metastable state is found near the minimum of free energy, but the kinetics of the growth causes the peak to overshoot the location of minimum of the energy. The size distribution of dots is shown to be nearly Gaussian with minor skewness originated from kinetics. However, it is argued that this skewness is inherently related to the effect of overshooting, and thus to the formation of the long lived metastable state with size selected nanodots. Based on RKM, a simple continuum model is derived to describe the size selection and narrowing of the size distribution.

Type
Research Article
Copyright
Copyright © Materials Research Society 2007

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References

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