Abstract
The continuous monitoring of the particle size distribution in particulate processes with suspensions or emulsions requires measurement techniques that can be used as in situ devices in contrast to ex situ or laboratory methods. In this context, for the evaluation of turbidimetric spectral measurements, the application of different numerical inversion algorithms is investigated with respect to the particle size distribution determination of polystyrene suspensions. A modified regularization concept consisting of a Twomey-Phillips-Regularization with an integrated nonnegative constraint and a modified L-curve criterion for the selection of the regularization parameter is used. The particle size (i.e., particle diameter) of polystyrene suspensions in the rangex=0.03–3 µm was validated via dynamic light scattering and differential centrifugal sedimentation and compared to the retrieved particle size distribution from the inverted turbidimetry measurements.
Highlights
The characterization of solid and liquidmicron-sized particle, for example, in suspensions or emulsions, is of interest for industry and research
The particle size of polystyrene suspensions in the range x = 0.03–3 μm was validated via dynamic light scattering and differential centrifugal sedimentation and compared to the retrieved particle size distribution from the inverted turbidimetry measurements
The actual particle size distribution of the polystyrene suspension has been validated via dynamic light scattering (DLS) (Delsa Nano C, Beckman Coulter, Brea, USA) and differential centrifugal sedimentation (DCS) (CPS Centrifuge DC 24000 UHR, CPS Instruments, Seagate Lane, USA)
Summary
The characterization of solid and liquid (sub)micron-sized particle, for example, in suspensions or emulsions, is of interest for industry and research. Small measurement errors lead to large errors and unacceptable solutions, which may be solved, for example, by an a priori restriction of the shape or type of the particle size distribution [10, 11]. Another critical problem of the turbidimetry method is caused by oscillations of the kernel function due to the dependence of Mie-extinction on the Mie-parameter [12, 13]. A general overview over inverse problems is provided by Hansen [15] and Ghosh Roy and Couchman [16], whereas a comparison of different conventional applied inverse algorithms is given by Journal of Spectroscopy
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