Agglomeration characteristics of nano-size TiO2 particles using analytical solution.

We developed equations for nano-sized titanium dioxide (TiO₂) particles self preserving time (SPT) lag that combines with agglomerate key parameters such as primary particle size (PPS), geometric standard deviation (GSD) and mass fractal dimension (MFD). A statistical formula has been developed that relies on SPT lag as the key parameter of agglomerates. Finally, this research presents the first analytical solution by integrating these key parameters into one formula, which can be utilized as a handy tool to calculate the time for reaching the asymptotic state. [ABSTRACT FROM AUTHOR]