Journal of Non-Crystalline Solids 95 & 96 (I 987) North-Holland. Amslerdnn~
SAXS
AND BET STUDIES
Thierry
LOURS
Laboratory University France Aldo
and
of of
OF AGING
Jerzy
Science Montpellier
I I SI - I I XI
AND DENSIFICATIDN
OF SILICA
AEROGELS
ZARZYCKI of
Vitreous
Materials
II
CRAIEVICH
Laboratorio and Instituto Dayse
I.
National de Luz de Fisica/USP, DOS SANTOS and
Instituto Sao Carlos,
de
Sincrotron/CNPq, Sgo Paulo,
Michel
Campinas,
SP
Brazil.
A. AEGERTER
Fisica e Quimica SP, Brazil.
de
Sao
Carlos/USP,
Aerogels prepared by hypercritical drying of gels obtained by hydrolysis of TMDS/methanol 50% solution in acid and basic conditions were studied combining SAXS and BET methods. Diffraction results do not seem to reveal a fractal character as the PORDD's limit I(q) q4 + Cte was obtained in all cases without well characterised portions in log I(q) vs log q graphs. Aging produces a small increase in the density of the matrix. Densification studies indicate that for moderate temperatures 530"-810°C the poresshow a shrinkage due to a diffusion controlled mechanism with an activation energy AEsg Kcal/mole. For higher temperatures expansion due to bloating was observed. The density of the matrix undergoes only a slight increase.
1.
INTRODUCTION The
structure
tion
and
ther
evolution
te
stages The
and
aging
of
BET surface
this
gel-into-glass
angle
scattering
of
ments
introducing
the
study
2.
METHOD
The texture
that
of
cles" by
the
of the
the
the
GUINIER's
in
can
intensity
to
prove explore
be described the I(q)
can law
way In
might
between
(which
limiting
direct
order
aerogels
The v
are (SAXS)
these
influence
be either
electronic scattered material
:
OD22-3093/87/$03.50 0 Elsevier Science Publishers B.V. (North-Holland Physics Publishing Division)
The
however,
more
characterising
interesting these
textural
recent
in
this
developrespect.
The
possibilities.
by a "two density by a diluted particles
understood.
conventional the
more
fur-
intermedia-
poorly
with
particular,
prepara-
their
detailed
still
together of
on the
dependent
that
treatments.
structures.
concepts
difference
pores.
volume
strongly
known
X-rays
a most gel
undertaken
of
Ape is
which
are
well
conversion of
provide
was
is
densification
intricate fractal
present
aerogels
it
thermal
analysis
features
of and
during
small
SAXS
texture
conditions
density" of
model the
matrix
system or
voids)
in and
of
N "partiis
given
1152 I(q) where
q
is
scattering
modulus
angle,
ration
of R
the
the
can
= NApe ' of
h the
the
(-
This
$ RE q21
scattering
vector,
X-ray wavelength
particle.
be obtained
v2 exp
and
approximation
from
SAXS
q = 4n
R6 the is
valid
measurements
(sinBl/x,
with
(electronic) for
28
radius
q R6 <<
on a relative
of
the gy-
1.
scale
from
log
I(q)
vs q 5 plots. For
a polydispersed
tion
a The
of
system
heavily
intensity
a power
this
weighted
procedure
towards
scattered
at
law
using
log
I(q)
the
to
has
been
shown
"2
that
particles
higher
angles
(q
vs
q plots
log
s
an
RD > 1)
average
can
be
radius
of
analysed
gyra-
in
terms
:
q-a
a can
be related
fracta2
to
characteristics
of
:
* for
"mass
* for
"surface
For
particles
the
classic
In this the
to
particles.
I(q) It
leads
larger
fractals" fractals" having
of
for
the
dimension
1<0<3,u=D
of
2 < DS < 3,a=
dimension
a smooth
PDRDD's
case,
area
of
law
:
lim
q,
1 I(q)
a system
interface
surface,
of
per
Q,
is
the
phases
s V
integrated
and
-t cte
a =4 which
corresponds
= p
with
volume
S/V
volume
-.-= 1 &(I-$) where
q41
two
unit
DS = 2
6-DS
is
fractions
given
Q
by the
and
l-$
relation
:
P
9,
intensity m
9, =
I(q)
q2 dq.
f 0 which
serves From
to
obtained,
where
Combining obtained,
density of
zero
da
this thence
This a)
nonalise
model the
the
BET measurements
leaves
p = d,/$,the density.
is
value the
scattering
the the S' two
apparent with
due
remaining
I(q) of
SAXS
the
fraction
per
of
the
the
1-g
arbitrary mass
units.
S'=
S/Vd,
which corresponding
is
sample. K = @(l-a)
can
phases. for
porticks
in unit
parameter
coexisting
possibilities
soZid
expressed
interface
results of
two to
the density
fractions
us with is
intensities value
interpreting form
Ape the
fraction
to air-filled
: $ of pores
be
b)
the
scattering
remaining
"particles"
fraction
l-
P ' = d,/(l-$1 For K < 0.25 is
usually
values
3.
the
possible of
concept to
p and
OF THE SAMPLES were
prepared
in
(TMOS), bidistilled
water
constant
stirring.
Two series
NH40H(pH=9)
as
catalyser.
a few
minutes,
the
closed.
placed
in
tical
After
an
The red
the
The
samples
phase
has
and
$ , the
a density
b)
a meaning from
the
and
it
calculated
in
proportion
of
of
were
samples
were
bar
by
and
by hydrolysis
4 mole
(1
the
:l
into
were
added
under
HN03(pH=2)
tubes
and
herme-
opened
evacuation4.
reached
te-
To this
immediately
solvent
3OO'C
either
Pyrex
were
hypercritical
of
volume).
TMOS was
using
tubes
solutions in
H20/mole
prepared
transferred
tc=
of
methanol
by the
and
The cri-
addition
of
. 5'
their
of
the
apparent
destined
No additional
for
oxydation
residual
dry
aerogels
density
da
sintering
The
densification samples
faces.
with
da
or
organic
The both
obtained by
studies
in
this
way
was
measu-
Hg volumetry.
were
dried
without
hypercritically
was destined
Their ; it
of
and
treatments
water
followed for
studies
order
of
at
for 0.5
were
used
densification
were
adjusted
the
before
isothermally
SAXS
thickness,
was
chlorination
groups
cut
530°C. into
optimal
in
this
study
to
treatments. 66O"C, thin
X-ray
810°C
slices,
and
912°C.
polished
transmission,
on
varied
mm.
EXPERIMENTAL The
SAXS
(Orsay, priate
experiments
France). collimation
of
systems
The
using used
white
monochromator X =1.55
i.
type
mathematical
of data
"infinite
for
of
of
Si
Two sets
the the
a very
intense of
slits
define
synchrotron storage
slits
and fractal
ring
is
8 KeV. the
radiation ring)
monochromatic
for
possible
for
using positron
collimation
desmearing
storage
tuned of
out (DC-1
geometry
height"
testing
beam
carried source
provides This
cessity
results
were
The X-ray
cross-section.
in
fraction of
aging.
remove
4.
major a)
way
drying
200
surface
N2 BET and
previous
and
the
matrix
hypotheses
hasoccurred
autoclave.
specific
by
minor
occupy solid
dissolved
solutions
for p,=
to
in
gelation
autoclave
conditions
methanol
the
a classic
(Fluka)
solution
tically
the
between
Silica
After
which
to
of
choose
PREPARATION gels
pores
p13.
tramethoxysilane
or
are
$ corresponding
beam avoids
the which
may affect
beam
LURE
an
with
appro-
point-like
troublesome
effects the
ne-
inevitable precision
of
behaviour.
monochromatised The
the
slit-height
at
with
resulting cross-section
by a double X-ray
wavelength and
reduce
crystal was the
para-
sitic
scattering. A one-dimensional
red
X-ray
a standard
5.
This
study I gives
dbring
SAXS
curves
performed
the
variations
It
aging.
was used
detector
sample.
The
were
a slight
Fig.1
shows
I(q)
dent
for
vs
parasitic
determined
the
limiting
on
is
record
the
scattering
was
subtracted
a relative
scale.
to
present
in the
while,
are
scattein
the
basic
q
and
only
minor
as
4
a result The
interval to
samples
which
a constant
. This
indicates
Aging time
series
density S'
aging
that
plotted can for
time
approach
law
without
shown
on
coincivalues
a larger
progressively any
with
indeed, the
q
lol<
with aerogel
the
intermediate 4 could
values
be
loI
presents
characteristics
seem
> 4 a sharp
to
be
studied. the
same
da(gcme31
;
as
be made
lower
are
to
slope
occurs
no fractal
limiting
slope
TABLE
pH
with
curves
These
seen
PDROD's
slope
that
ncid
aging.
PORDD's
and
the
differences
are to
to the
apparent series
increases
different
of
curves
corresponding
seen effect 0 s 4 A scale
series
for
of
loI=
the
curves the
Fig.1.
and
acid-catalysed
series.
that
apparent
series. 5'
actually
seen
of
often
for
5'
both
catalvsed surface
be
q-
at
that
intensity
insert
an
be seen
series
base-
It can
The approach
interface
specific
SAXS
well-characterised
which
and
the
for
values
slope
ascribed.
acid-
of
increase
q.
i-')
in
can
the
log
higher
(q < 0.04
on
base-catalysed
shows
scale
was
for
log
For
the
AND DISCUSSION
decreases, da
All
from
Aging
Table da
way.
RESULTS 5-1
position-sensitive
intensity
S'(m'g-')
Ial
= 4 is
observed,
the
curves
I
p(gcms3)
p'(gcme3)
o
(days) 2
cl
0.39
465
61
5.0
0.47
0.18
2
7
0.445
440
48
4.5
0.56
0.20
2
14
0.45
413
46.5
5.3
0.55
0.18
2
21
0.47
353
45
5.6
0.57
0.18
9
0
0.17
380
129
3.6
0.18
0.05
9
8
0.18
423
102
2.5
0.19
0.07
9
16
0.19
621
99
2.0
0.21
0.09
show
however
2.37
respectively
fractal
for
particles
The
of
seen
the
calculated
absolute
values
glass
phase,
responding
or
are
not
the
scattering
for
acid
correspond
phase
or
to
pores
during
values
of
P
being
an
[al could
around
100
either characterised
o'
= 2.18,
2.43
correspond i
and
to
formed
plots
are
which
should
increase
of
shown
a
elementary
in
Table
correspond
by
slightly
phase
BET.
a
1. to
of
bl
St The aging
matrix
P'
for
cross-linking the
Table
due
1.
value
for
was
contains
The meso-
and
during the
in
limiting
hypothesis
light
or
by
contraction
included 2.2,
series, This
SAXS
of
also than
basic p'.
by
are
greater
the
increases
isotropic
GUINIER decreases
P and
density
units
the
the
much
detected
to
This
adopted
closed and
cor-
nanopores
macro-pores
values both
The solid
are
series.
while
still
to
a syneresis
in
are higher This
the
liquid
effect.
bJ,oq -17
4.8 4.0
-16
-15
-
3.2 r 22.4 0" A
-
1.6
-
0.8 -
o.oI -2.0
-1.7
-1.4
-1.1 Log,o
Scattered intensity shifted to make the I(q) variations for
curves high-q lower
It the
aging. 9,
for of
; p'
values
aging.
dimensions
from
systematically
decreasing
series
could
of
with
of
s 15 i.
obtained
a matrix
portion
16 days
of
to
8 and
radius
z
that of
The
linear
0,
aggregates of
values
be
filling-in
which
intermediate for
regime
smooth
can
an
-0.8
-0.5
9
FIGURE 1 for different aging portions co'incide. q values.
stages ; they are vertically The insert shows the detail
of
T. L.ours CI al. / Aging
1156
LOOO-
-A d ”
aerogels
3000-
I 0
-30-c 1 50
2 of
o/silica
-
2000 1
Variation
and dmsificarion
during
100
150 200 Slnlermg lime (mn)
FIGURE isothermal
2 sintering
250
for
300
temperatures
indicated
.?
0.60
t
. x
660-C BlO’C
.
912’C
oLk----150
Smlermg
Evolution
of
matrix
densities
p'
200 tme lmn)
FIGURE for
3 various
250
densification
temperatures
The
pore
fraction
contraction with
of
solid
a transient
phase
and
increase
then
consecutive
decreases
as
the
to
the
syneresis
initial
progresses
time. 5-2
SINTERING
The ned
log
for
I(q)
This
indicates for
during
this
Fig.2
thermal
the
is
at
an
to
observed
those
of
that
the
for and
of
tering
mechanism
about
matrix
indicate
Fig.1
previously
obtain-
and
time
is
process
be
smoothing
c
shrinkage
Kcal/mole
of
in
such
different
as
samples
be
seen
a linear
may be
gases
RG is
isthat
decrease
interpreted
as
- the
behaviour
closed
pores.
expansion
is
at It
is
noted
observed5.
constant
obtained.
for
can
pores
no
velocity
was
shows
the
of
of
the
It
This
oxydized
q. time
may differ
observed.
by expansion
of
of of
reasons.
810°C
pteviously
This
an
would
average
activation
confirm
an
initial
sin-
by OH migration6. shows
previous
surprisingly
small
processes reesterification
investigations - Work
of
shrinkage
densification
by
des
as would
further
values
technical
660
analysis
Further
Ministere
for
with
controlled
ACKNOWLEDGEMENT
sintering
undergo
as a function values
used
continuous
E%9
the
hindered
during
only
intermediate
t = 530,
samples
density
that
treatment.
for
initial
were
increase
Arrhenian
energy
obeyed
might
a2 plotted The
a bloating
1080°C
From
is
which
a diffusion-controlled
due
be noted
behaviour
of
batches
912°C of
912°C
is values
temperatures
indicative
are
to
treatment.
several
for
The
similar
interfaces
temperatures.
lower
even
are
POROD's
behaviour
shows
from
while
q plots
defined
densification
for
log
that
well
No fractal
sued
vs.
aging.
normal
to
$ shows
the
are
supported
Relations
in
the
of
surface
and
(Fig.31
temperature
which
range
layers
in
the
studied
might here
autoclave
progress.
by FAPESP,
Exterieures
variations
in
FINEP
CNRS
and
CNPq
(Brasill.
,s
(1984)
1383
the
(France).
REFERENCES 1) D.W.
Schaefer,
2)
K.D. C.J.
Keefer, Brinker,
K.D.
3)
A.F. Craievich, J. of Non Cryst.
Keefer,
Phys.
in Mat. Rev. Sot. O.E.Clark, D.R.
Zarzycki,
M.A. Sol.
4)
J.
5)
A.F. Craievich, D.I. presented at the 7" Materiais. Florianopolis,
6)
M. Prassas, in "Science
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M. Prassas,
J. of
J.
Rev.
Symp. Ulrich D.I. 394
DOS Santos,
Phalippou,
DOS Santos, M.A. Congress0 Brasileiro SC (Dec.1986).
Phalippou, Ceramic
Letters
Proc.32 (1984) 1 eds. I%-th Holland.
J. Zarzycki, Processing",
J.
T.
Mater.Sci.
Woignier, 17
J.Zarzycki, (1982)
Aegerter, T. LoFs, de Engenharia e
p.156
Sintering (L.Hench,
of
monolithic D.Ulrich
3371
J. Zarzycki, Ciencia dos silica gels Eds.) Wiley 1986.