COLLOIDS
AND A
Colloids and Surfaces SURFACES
ELSEVIER A: Physicochemical and Engineering Aspects 97 (1995) 217-225
Evolution of the fractal structure during sintering of SnO 2
compacted sol-gel powder
Giancarlo Esp6sito de Souza Brito, Celso Valentim Santilli, Sandra Helena Pulcinelli *
lnstituto de Quimica de Araraquara-UNESP, P.O. Box 355, 14800-900, Araraquara, SP, Brazil
Received 18 April 1994; accepted 14 December 1994
Abstract
The structural evolution during sintering of compacted SnO2 sol-gel powder was investigated using nitrogen
adsorption isotherm analysis. Results show that for sintering temperatures up to 400°C the samples have a fractal
pore size distribution. As the sintering temperature increases, a structural rearrangement occurs, allowing an increase
of the efficiency of particle packing and the reduction of fractality. Above 400 ° C, the pore size growth associated with
grain coalescence is the main structural change observed as the sintering temperature increases.
Keywords: Fractal structure; Micropore evaluation; Sintering; SnO2 sol-gel powder
1. Introduction
Inorganic solids prepared by the sol-gel tech-
nique are of widespread interest for a broad range
of practical applications as well as being model
systems for the study of colloidal aggregation and
sintering. Typically, materials prepared by this
technique consist of aggregates that are formed of
a random highly branched chain-like structure of
primary particles [ 1 ]. The interest in these struc-
tures lies in the fact that they exhibit mass fractal
behavior, i.e. the density of the aggregates decreases
as the distance from the cluster center increases.
In particular, the fractal dimension (D) pro-
vides quantitative information about the packing
efficiency and the connectivity of the primary
particles [2].
In general, the experiments required to show
conclusively that a material is fractal and over
which spatial scale it is fractal are both time-
* Corresponding author.
0927-7757/95/$09.50 © 1995 Elsevier Science B.V. All rights reserved
SSDI 0927-7757(95)03084-0
consuming and expensive. This kind of analysis
uses a combination of scattering techniques (light,
small-angle X-ray scattering (SAXS), small-angle
neutron scattering (SANS)) to study all length
scales of interest [3]. From SAXS data, for exam-
ple, we showed that SnO2 hydrosols and hydrogels
exhibit fractal structure dimensions of 1.42 and
1.76, respectively. Meanwhile, the average size of
the aggregates was not determined because it is
greater than the limit of detection for this technique
[4]. Compared to scattering measurements, a
wide range of sizes may be probed by porosimetry
(mercury intrusion or nitrogen adsorption iso-
therms) with a single experiment. In this case,
structural information about aggregates can be
inferred by recognizing that the pore texture is a
template of the solid phase. However, mercury
porosimetry has been inadequate for this kind of
analysis due to the compression that occurs in
samples, compromising a reliable determination of
the pore size distribution [5].
In this paper we explore the use of nitrogen