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gradient and does not involve the formation of
iron carbide [18], in agreement with TEM studies
of the catalytic Fe particles in our experiments.
Precipitation of solid carbon occurs on the
opposite side of the particle when the carbon
concentration exceeds the temperature-dependent
saturation concentration. The carbon feedstock
supply rate determines the decomposition rate,
which, under stationary conditions, is identical to
the precipitation or nanotube growth rate. We
assume that diffusion occurs through a cylindrical
segment of the catalytic particle with diameter a
and, therefore, the diffusion rate will scale as 1=a
(C H ), which is larger than the maximum
2 2
precipitation rate, no oscillations will occur but
stationary growth with constant nanotube dia-
meter is expected. In order to test the model, we
are carryingout additional experiments where the
carbon supply rate to the metal particles is
adjusted. It is extremely difficult to reduce the
acetylene flow rate to match the C60 carbon supply
at 6001C; however, we can increase the tempera-
ture of the C60 source to match the acetylene
supply rate in the above experiments. First results
are plotted on Fig. 2 for a Fe film thickness of
1 nm. In agreement with the model, we see thin
nanotubes from C60 with the same diameter as
those from acetylene produced under the same
conditions. The nanotubes are also straighter than
those produced at the low supply rate. We can also
observe some nanotubes with higher diameters,
comparable to the higher diameter distribution
seen from acetylene for larger Fe film thicknesses.
This may indicate some differences in the decom-
position kinetics. Further work is in progress.
[
19]. For a low carbon feedstock supply rate (the
situation with the C60 experiments) carbon will
diffuse through a cylindrical segment with a larger
diameter a compared to the acetylene case where
the supply rate is considerably higher. Carbon
precipitation occurs at the end of the cylindrical
segment and forms a nanotube with diameter a: If
the catalyst particle is increased in size, the heat
release due to precursor decomposition will lead to
a lower temperature rise and thus a lower
saturation concentration of carbon and the circle
of precipitation will move closer to the region of
decomposition. Under our conditions this leads to
the formation of thicker nanotubes for acetylene
and, for C , it leads to a cessation of growth since
4. Temperature dependence offilm growth
from C H
2
2
We have studied the temperature dependence of
the growth of nanotubes from acetylene (8 sccm)
on 1 nm thick films prepared by electron sputtering
and then annealed at 7501C, as discussed above.
The growth temperature did not significantly
influence the size of the iron nanoparticles after
the annealingstep i.e. the avera ge diameter of the
catalyst particles remained at 20–30 nm. The gas
flow rates were kept constant and only the
temperature of the oven was adjusted. The growth
time in each case was 30 min. Fig. 3 shows SEM
pictures of the films produced as a function of
temperature. An analysis of the SEM data is
summarised in Fig. 4. TEM pictures of typical
structures produced at 5501C, 7501C and 11001C
are shown in Fig. 5. A combination of thin
MWNT (diameters around 14 nm) and thick
non-hollow carbon fibres is seen for the lowest
temperature investigated (in qualitative agreement
with our model). As the temperature is increased
the density and length of the nanotubes increases
6
0
the precipitation circle moves into the hemisphere
where decomposition occurs. The oscillatory
structure observed in our C60 experiments
(
Fig. 1) can also be explained by the model. If we
assume startingconditions where the gr owth circle
lies on the equator of the particle, the precipitation
rate is low and can become smaller than the
carbon supply rate. The carbon concentration in
the metal particle, therefore, increases with the
consequence that the diffusion rate increases and
the precipitation circle moves away from the
equator leadingto a decrease in the nanotube
diameter. A decrease in diameter implies an
increase in precipitation rate that can deplete the
carbon concentration in the particle if the pre-
cipitation rate then exceeds the decomposition
rate. This in turn leads to the precipitation circle
movingback towards the equator with a corre-
spondingincrease in nanotube diameter, and so
on. In the case of a high carbon supply rate