S. Kim et al., DIFFUSION AND CLUSTER FORMATION IN AQUEOUS-SOLUTIONS OF POTASSIUM ALUMINUM SULFATE, Journal of crystal growth, 181(1-2), 1997, pp. 61-69
The property and structure of aqueous KAl(SO4)(2) . 12H(2)O solutions
were investigated by the measurements of diffusion coefficients and co
ncentration gradients developed in vertical columns of supersaturated
solutions. The diffusion coefficients decreased linearly with increasi
ng concentration up to the saturation point and decreased more rapidly
with increasing concentration in the supersaturated region. This dras
tic decrease of diffusion coefficient at supersaturated concentrations
was similar to that observed in other supersaturated aqueous solution
s which was attributed to the formation of solute clusters in metastab
le solutions. A cluster diffusion model employing the solution viscosi
ty and thermodynamic data can provide a good correlation between predi
cted and experimental diffusion coefficients in undersaturated solutio
ns, but fails to provide a reasonable prediction of the much lower val
ues of diffusion coefficients in supersaturated solutions. The average
size of the diffusing entities estimated from the diffusion coefficie
nt data showed a steady growth with increasing concentration in the un
dersaturated region and a faster growth with increasing concentration
in the supersaturated region. The average cluster sizes in supersatura
ted solutions were estimated from the data of concentration gradients
in vertical columns and solution thermodynamics using the concept of t
he number and weight average molecular weights. The estimated cluster
size increased with increasing degree of supersaturation as well as so
lution ''age'', and showed good agreement with those estimated from th
e diffusion coefficient data.