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Astron. Astrophys. 364, 282-292 (2000) 4. Experimental4.1. Preparation and sample characterizationFor the annealing experiments, amorphous silicate materials have to be produced. The following methods for their production have been applied: 4.1.1. Magnesium silicate glass (
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Fig. 1. TEM images of laser-ablated ![]() |
The annealing experiments with glassy and smoke-like silicates have been performed in a Nabertherm HT 04/17 oven in an oxygen atmosphere of 1 atm to prevent evaporative magnesium loss that was observed during annealing in vacuum (Rietmeijer et al. 1986; Karner & Rietmeijer 1996; Hallenbeck et al. 1998).
From the annealed samples of powders embedded in KBr and polyethylene (PE) pellets, IR transmission spectra have been obtained. A Bruker IFS 113 FTIR spectrometer has been used.
Glassy sheets have been annealed as a bulk material at temperatures of 1165, 1121 and 1080 K. The surface evolution was monitored by scanning electron microscopy (SEM) and IR spectroscopy.
Heterogeneous nucleation and crystallization started at the sheet's
surface to create a growing orthoenstatite layer. The layer thickness
was measured by SEM of the cross section after thermal treatment. To
derive kinetic constants, the layer's thickness was measured as a
function of annealing time (see Fig. 2). Additionally, time-lag
effects of nucleation were observed before crystal growth started. The
velocity of linear crystal growth
was calculated from the layer thickness (see Table 2). Its values
correspond well to the annealing times that have been obtained for
powdered glass as will be outlined below.
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Fig. 2. Thickness growth of the orthoenstatite layer on a sheet of ![]() |
Table 2. Kinetic data of crystallization of bulk glass
For small particles, shorter annealing times are expected compared with the time for the bulk samples because of the strongly increased particle surface. To investigate the thermal evolution of such small particles, the bulk glass sheets have been ground using an agate mill.
Annealing experiments have been carried out at temperatures ranging
from 1121 to 1000 K. In Fig. 3, the evolution of the mass
absorption coefficient (MAC) has been monitored as a function of
annealing time at 1121 K. Except the experiment at 1000 K, the
glass was converted into
orthoenstatite as could be verified by IR spectroscopy and XRD
analysis. Crystallization has not been observed within 50 h at 1000 K
in the IR spectrum, but weak indications of forsterite and tridymite
formation have been found in the XRD spectrum.
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Fig. 3. Evolution of the MIR spectrum of ![]() ![]() |
Using Eq. (1) and , the
activation energy
has been
calculated from the annealing times
(see Table 3). It is evident that the values of
show a systematic decrease with
growing annealing temperature. Therefore, Eq. (1) with the used
value of
is not fully appropriate to
describe the annealing process. We proved by plotting
) that the exponential relation fits
the measured data. However, the plot indicated that the value of the
constant
has to be 4 to 8 orders of
magnitude larger. From our limited number of experiments, we cannot
determine the constant exactly. In addition, the constant probably
depends on the chemical composition and has to be determined for each
smoke/glass independently. For the sake of consistency to Lenzuni et
al. (1995), in this paper, we will further use their value. However,
so long as the constant
has not been
determined experimentally, one should bear in mind that the numerical
value of the activation energy depends on the estimation for
.
Table 3. Annealing time and activation energy determined for glassy micrometre-sized particles using Eq. (1) and the constant
The annealing times obtained for glass powder are compatible to the
growth velocities that have been obtained from the bulk glass. For
example, at 1080 K, the growth velocity was determined to be 72
nm/min. At this velocity, surface crystal growth would fully
crystallize a particle of 5 m in
diametre in approximately 70 min. This is in the range of the
annealing time measured for the glass particles. We conclude that the
velocity of crystal growth does not depend on the particle size. In
contrast, nucleation strongly depends on the surface area available
and therefore determines the time-lag before crystal growth
starts.
The opacity of untreated and annealed
powder has been obtained in the FIR
range up to
. After 1 hour annealing
at 1121 K, a distinct drop in opacity has occurred below 200
. An additional drop was observed in
the wavenumber range
after 2 hours
of annealing (see Fig. 4, spectra b and c).
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Fig. 4. Comparison of the IR spectrum of thermally untreated ![]() ![]() |
Using Eq. (4), the spectral indices
of
powders have been estimated by least-square fits of the data in the
range from 200
to 50
. The parameters are
and
for the untreated amorphous
powder. For the sample that was
annealed at 1121 K for 2 hours, the parameters are
and
. As can be seen in Fig. 4,
a further opacity drop occurs between 1 and 2 h of annealing. That
drop may be caused by the continuous growth of the biggest crystalline
regions that "consume" smaller nanocrystals. Another effect could be
the "healing" of lattice defects in the nanocrystals.
The smoke has been annealed at
1000 K to investigate the behaviour as a function of annealing time.
Using IR spectroscopy and TEM, significant structural evolution of the
smoke particles has not been observed prior to crystallization. In
detail, TEM imaging showed that the texture with voids and rims was
still preserved (see Fig. 1). Smoke evolution could not be
characterized by a distinct stall phase as was observed by Hallenbeck
et al. (1998). In contrast to the laser-ablated smoke described in
this study, the Hallenbeck smoke was prepared at 770 K from Mg metal
placed inside a furnace tube and a 1:1:4 flowing gas mixture of
,
and He at a total pressure of 80 Torr. Although both laser-ablated
smoke and smoke produced in a gas-flow-reactor are nonstoichiometric
condensates, the latter is dominated by micrometre-sized entities of
pure silica with a nanometre-sized mantle of chaotic Mg-silicate
whereas our laser-ablated smoke consists of different-sized particles
that are Mg-enriched or depleted according to their grain size. There
is a basic compositional difference. For these reasons, both products
cannot be compared with each other. That means that the stall phase
need not be expected in all varieties of smoke particles.
Our results are shown in Fig. 5. The structure in the wide 10
m profile of spectrum d indicates
that some predominantly amorphous particles already contained
forsterite microcrystallites. The main component at 1050-1100
has been assigned to amorphous
silica and the shoulder at 900
to
forsterite. The peaks of spectrum a in the 10
m range at 843, 890, 960 and 1000
can be identified with those of
forsterite, whereas a shoulder at 1090
has been assigned to amorphous
silica.
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Fig. 5. Evolution of the MIR spectrum of ![]() ![]() |
As Fig. 5 demonstrates, rapid crystallization sets in not
earlier then after 21 h of annealing. Therefore, the true annealing
time used to calculate the activation energy has to be in the range
between 21 and 30 h and is estimated to be 25
. Using Eq. (1) and the mean
frequency
, the activation energy of the
smoke has been determined to be
= 42040
150 K.
In the FIR, a significant opacity drop occurs between 250 and 75
. At 283 and 325
, tridymite features have been
observed (see Fig. 6, spectrum b). Hence, the `30 h' smoke
consisted of polycrystalline forsterite, tridymite and amorphous
silica (see Fig. 6 and Fig. 9).
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Fig. 6. Comparison of the IR spectrum of thermally untreated ![]() |
Annealing experiments using laser ablated smoke from a natural pyroxene mineral were already carried out by Brucato et al. (1999). In contrast to our study, the peaks of the annealed samples fall nearly at the same positions as for the crystalline pyroxene, i.e. the smoke changed into crystalline pyroxene whereas our smoke transformed into forsterite and silica. Presumably, the presence of iron promotes pyroxene formation; but iron-free Mg-silicate smokes change into forsterite and silica. The activation energies given by Brucato et al. (1999) (47500 K) are not comparable to the ones determined here since they are based on a different definition of the annealing time. In contrast to the Lenzuni et al. (1995) perception, they define the anneling time, when the IR spectra do not change any longer, i.e. when the sample is crystallized completely.
The smoke has been annealed at
1000 K up to 30 h and at 1206 K for 1 h. The results are presented in
Fig. 7 and Fig. 8. The IR spectra proved the smoke to be
converted into crystalline forsterite. The values of the MAC of
annealed
smoke coincide to the MAC of
synthetic forsterite (Jäger et al. 1998). Because the smaller
particle species had been magnesium deficient, some amorphous silica
and MgO as well as crystalline
has to
be contained in the smoke; but the weak amorphous features are
superimposed by the strong crystalline peaks.
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Fig. 7. Evolution of the MIR spectrum of ![]() ![]() |
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Fig. 8. Comparison of the IR spectrum of thermally untreated ![]() |
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Fig. 9. The IR spectrum of annealed ![]() ![]() ![]() ![]() ![]() |
As can be seen in Fig. 7, the smoke starts to evolve
significantly towards a polycrystalline material already after an
annealing time of 1 h. From this spectra, we estimate the annealing
time to be in the range between 1 and 2 h. Using Eq. (1) and the
mean frequency
, the activation energy of the
smoke has been determined to be
= 39100
400 K.
In the FIR, a significant opacity drop occurs below 250
(see Fig. 8). The overall
opacity falls below that of the annealed
smoke. Due to the higher initial
magnesium content, most of the smoke has been transformed into
crystalline forsterite. Otherwise, less amorphous silica and MgO is
left that would significantly raise the FIR absorption.
From our results, we conclude that the annealing of Mg-silicate
smokes in oxygen-rich environments leads to polycrystalline
c-. If the Mg/Si-ratio falls below 2,
the excess Si appears as tridymite and/or amorphous
. The laser-ablated smoke had been
rather inhomogeneous with two particle species, a small
nanometre-sized fraction (10 to 50 nm in diametre, Mg-deficient) and a
micrometre-sized fraction (0.1 to 2
in diametre, Mg-enriched). For these reasons, the presence of silica
or crystalline
and MgO had to be
expected even in the smoke of forsterite stoichiometry.
In the TEM, a profound difference between the annealing behaviour
of the and the
smoke could not be observed. During
annealing at 1000 K up to 30 h, the smaller-sized smoke particles did
not show observable changes. Although these Mg-poor particles seemed
almost unchanged, electron diffraction analyses unvailed their partly
crystalline structure. Hence, structural order has developed on a
nanometre scale (see Fig. 10). These results are essentially the
same for both the
and the
smoke. The percentage of crystalline
forsterite depends on the initial Mg/Si ratio of the particles that
had been different for the
and the
smoke. At 1206 K, nanocrystals have
been observed showing that long range order has developed (see
Fig. 11). The Mg-enriched micrometre-sized particles had been
almost totally crystalline as was monitored by electron diffraction.
Their outer appearance as sperical droplets did not change. According
to their inital composition (Mg/Si
1
for the
smoke and 2 for the
smoke), they most probably consisted
of a mixture of crystalline forsterite and amorphous/crystalline
silica or forsterite.
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Fig. 10. TEM image of smaller-sized particles of the ![]() |
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Fig. 11. TEM image of ![]() |
From the experiments, we found a significant decrease with
increasing Mg/Si-ratio in the annealing time and therefore in the
activation energy. For the smoke, we
found
= 42040
150 K. For the
smoke,
has been determined to be 39100
400 K. Because of the Mg-deficiency
in the
smoke, the diffusion rate of
Mg-atoms limits the growth rate of the forsterite nanocrystals -
increasing the macroscopically measured annealing time.
Amorphous silica is a primary condensate formed from MgO- or
FeO- vapour at non-equilibrium
conditions (Rietmeijer et al. 1999).
To investigate the evolution of pure
condensates, nanoparticles of
precipitated silica (commercial product, Fisher Scientific Ltd.) with
diametres of 10 to 50 nm have been annealed at temperatures between
1150 and 1350 K. Their thermal evolution has been monitored by the
appearance and the sharpening of the crystalline cristobalite and
tridymite features in the infrared spectra (see Fig. 13 and
Fig. 12). IR and XRD analysis proved cristobalite to be the major
component. Peak positions and the full widths of half maximum (FWHM)
of spectral features have been listed in Table 4.
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Fig. 12. Evolution of the MIR spectrum of silica that has been annealed at 1220 K. The annealing times are indicated. For clarity, the spectra have been shifted vertically: a, b, c, d, e by +7500, +6000, +4500, +3000, +2500 ![]() ![]() ![]() |
![]() | Fig. 13. Comparison of the IR spectrum of amorphous (a) with that of annealed silica (b) (T= 1220 K, 5 h). |
Table 4. Crystalline features in annealed silica (T `tridymite feature', C = `cristobalite feature' (Hofmeister & Rose 1992, Nyquist 1997))
At a temperature of 1220 K, the annealing time has been estimated
to be 4.5 0.5 h. Using Eq. (1)
and
, the activation energy has been
calculated to be
= 49190
150 K. The diffusion constant
D has been calculated as well (see Eq. (3))
In Eq. (3), the constant a has been approximated to be
Å from the volume of the basic
molecule forming the lattice (
).
is the molecular weight of
, u the atomic mass unit and
the mass density of
a-
. Using the diffusion constant
D and Eq. (2), the size of locally ordered structures can
be estimated. At the annealing time of 4.5 h at 1220 K, it equals
Å. However, electron
diffraction analyses showed that nanometre-sized crystals are present
in the sample. Thus, the application of the formulas given in
Sect. 3 is limited to the nucleation and should not be applied to
the further growth of nanometre-sized crystals.
Crystallization of amorphous silica nanoparticles is associated
with a sharpening of absorption features in the MIR and an opacity
drop in the FIR (see Fig. 12 and Fig. 13). The mass
absorption coefficient in the FIR has been approximated by a power law
(using Eq. 4). The spectral indices
of silica have been estimated in the
wavenumber range from 100
to 15
. For
a-
, the parameters are
and
. The parameters are
and
for the silica that has been
annealed at 1220 K for 5 hours.
© European Southern Observatory (ESO) 2000
Online publication: December 15, 2000
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