Studies linking transport phenomena (e.g. [1]) to morphological stability and the formation of defects suggest that it may be possible to control the flow and resultant solute distribution near vicinal surfaces in a manner which will render these surfaces less susceptible to loss of stability and to the resultant formation of defects. Meso-scale analyses (e.g. [2]) of vicinal surfaces indicate that it may be useful to use flow modulation as a means to control interfacial stability. However, a macroscopic-view point of the same problem [2] demonstrated unexpected changes in morphology due to an interaction between periodically changing solute fields, step sources and moving steps. This motivated us in our efforts (presented in this contribution) to combine three-dimensional modeling of fluid flow and solute transport with non-trivial interface attachment kinetics as a means for investigating the impact of large scale dynamics of flow and solute transport on interfacial morphology.

We will discuss our modeling efforts which are specifically applied in the analysis of a potassium dihydrogen phosphate (KDP) growth system. This three-dimensional  modeling project hinges on the CATS3D [3] finite element software developed at the University of Minnesota which, in this study, was modified to include interface motion consistent with interface attachment kinetic mechanisms such as rough, vicinal, screw-dislocation-driven and 2D-nucleation driven growth. Results to be presented will include analyses of different interactions between flow fields, supersaturation profiles and interfacial morphology.

This Research was supported by the U.S.-Israel Binational Science Foundation.

[1] A.A. Chernov, J. Crystal Growth 118, 333 (1992).

[2] I. Rasin, S. Brandon and O. Weinstein, Int. J. Multiscale Comp. Eng. 6, 585 (2008).

[3] A. Yeckel, Cats3D user manual (unpublished), University of Minnesota, USA (2009).

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