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Image-Based in Situ Identification of Face Specific Crystal Growth Rates from Crystal Populations
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文摘
Online microscopy has received much attention in the field of crystal shape control over recent years, since commonly used measurement techniques cannot provide enough information for this purpose. In this work, we present an estimation scheme that serves to reconstruct the 3D crystal shape from the measured 2D crystal projection. The boundary curves of the crystal projections are parametrized by Fourier descriptors, which are subsequently compared with a precomputed database. The procedure is evaluated in comparison with various effects that might impair the estimation. A good agreement between the true and estimated values is found in all cases. The presented methods are applied to batch cooling crystallizations of potassium dihydrogen phosphate (KDP) dissolved in water. As a result, the face specific growth rates are determined as a function of supersaturation. To validate the performance of this scheme, the calculated face specific growth rates are used in a model-based prediction of the supersaturation profiles, which agrees well with the experimental data.

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