The ultrastructural evolution of aerogels on sintering into glass must
be understood on the basis of a detailed description of a solid backb
one and porosity. Silica aerogels from 'sonogels' have been studied ov
er a wide length-scale range, using small-angle X-ray scattering and g
as adsorption measurements. An aggregation model of a hierarchical nat
ure can be formulated with a variable clustering index (N is the numbe
r of elementary units inside a cluster) and hierarchical ratio (size o
f a cluster in terms of the size of the elementary unit). The results
reveal a change in the hierarchical level during the sintering process
, which is ultrasonic dose-dependent.