Langmuir, Vol.18, No.9, 3500-3509, 2002
Particle growth kinetics in zirconium sulfate aqueous solutions followed by dynamic light scattering and analytical ultracentrifugation: Implications for thin film deposition
Acidic aqueous solutions of Zr(SO4)2(.)4H(2)O can be used to deposit nanocrystalline zirconium oxide films on functionalized surfaces. Because zirconium hydrolyzes easily, such solutions are potentially unstable toward colloid formation and precipitation. Particle growth (conditions: 2 or 4 mM Zr(SO4)2, 0.4 or 0.6 N HCl, T = 323, 328, 333, or 343 K) was investigated using dynamic light scattering (DLS, in situ) and analytical ultracentrifugation (AUC, ex situ after quenching to 77 K and rethawing to 298 K). The AUC measurements revealed three stages of growth (all dimensions given are hydrodynamic radii): (1)coexistence of several discrete polynuclear complexes with rh = 0.43-2.29 nm; (2) particle size distribution with a single sharp maximum; (3) above r(h) similar to 260 nm rapid transition to polydisperse medium with particles up to 100 mum. The DLS measurements revealed a linear increase of the hydrodynamic radii (z-average of particle population) from 5 nm to 1000-2500 nm with rates of 0.01-0.6 nm-s(-1). The rates were proportional to the Zr(SO4)2 concentration, while the increase of the HCl concentration slowed or even inhibited growth. The apparent activation energy for this step was 136 kJ(.)mol(-1). From the induction period before detection of first particles, initial growth rates (rh < 5 nm) were calculated to be approximate to1 x 10(-4) to 5 X 10(-3) nm-s(-1). Independent of the conditions, the two reaction rates were always proportional to each other, indicating linked rate laws. A 4 MM Zr(SO4)(2) in 0.4 N HCl solution exhibited no particle growth at 323 K, but complexes of a constant radius (after 6, 12, and 24 h) of 1.16 nm were detected (AUC). Under these conditions, films were deposited and their thickness increased linearly with time, specifically by 2.1 x 10(-4) nm(.)s(-1). This rate corresponds to the initial growth rate in solution. In contrast to films grown from media with significant particle growth, these films showed surfaces free of attached particles, cracks, and holes.