Determination of particle and crystal size distribution from turbidity spectrum of TiO2 pigments by means of T-matrix.

Details Determination of particle and crystal size distribution from turbidity spectrum of TiO2 pigments by means of T-matrix. Determination of particle and crystal size distribution from turbidity spectrum of TiO2 pigments by means of T-matrix.

Sep 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998jqsrt..60..399j&link_type=abstract

Journal of Quantitative Spectroscopy and Radiative Transfer, vol. 60, issue 3, pp. 399-409

Computer Science

4

Scattering: Numerical Methods

Scientific paper

A method has been developed for the determination of particle and crystal size distributions of rutile titanium dioxide pigments. This is based on a rigorous model for the turbidity (light extinction) spectra of rutile particles in dilute water suspension. The inversion of the rigorous model leads to an ill-posed problem and to a semi-rigorous method, in which the constraints of the solution have been determined empirically. The pigment particles are approximated as spheroids and a two-dimensional size distribution of particle width and ratio of length and width is calculated. Most of the particles are single crystals but a small amount is in aggregate form. A method to separate the distributions of aggregates and single crystals is proposed. The extinction cross section values for spheroids, needed in the model, are calculated by the T-matrix method. A comparison of the crystal size results with the values determined by transmission electron microscopy shows a very good accuracy for mean values of both the volume equivalent size and for the width, whereas the results for the means of the length/width ratio are much less accurate.

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