141503-2
Schulze, von Keudell, and Awakowicz
Appl. Phys. Lett. 88, 141503 ͑2006͒
in electronegative discharges.8 However, unlike this attach-
ment instability where the electronegative species experience
a periodic transition from neutral state to negative ion to
neutral to positive ion, the charge state of the particles in this
experiment depends predominantly on the particle size and
remains nearly constant during the oscillations. Hence, the
oscillations are not caused by charge fluctuations but by the
spatial transport of the particles and the charge they carry.
After consumption of all acetylene, the growth process
stops and a particle containing argon/helium discharge re-
mains. For a discharge volume of approximately 5 l, the
mean residence time of neutral species due to pumping
losses is half a second. Therefore, it is reasonable to assume
that the chemistry is finished within a few seconds after the
supply of acetylene is stopped. The particle confinement is
maintained by electrostatic force in the plasma sheaths,
which keeps the negatively charged particles inside the
plasma volume. The plasma is from then on purely inductive
and a characteristic frequency of the oscillation up to several
tens of hertz is established ͓phase ͑3b͒ in Fig. 2͔. The nature
of this oscillation will be discussed below. For the selected
external parameters, particles cause an oscillation with a time
period of 79 ms or a frequency of 12.5 Hz. Within the scatter
of the data, this frequency stays constant for some minutes.
Sporadically, a parasitic discharge in the dark room of the
chamber occurs and causes more violent variations in the
plasma emission ͑e.g., Fig. 2, 85–95 s͒. The reason for this
could not be clarified yet. By interrupting the plasma, par-
ticles can leave the discharge ͓phase ͑4͒ in Fig. 2͔. When the
antenna is switched on again, the inductive mode is stable
͓period ͑5͒ in Fig. 2͔.
FIG. 2. Optical plasma emission during a sequence of preparation ͑1͒,
acetylene injection ͑2͒, oscillations ͑3͒, plasma interruption ͑4͒, and stable
discharge ͑5͒. The discharge is powered by the capacitive electrode during
͑2͒ and by the inductive coil during ͑3͒ and ͑5͒.
camera with an acousto-optical wavelength filter.
The experiments are carried out as follows ͓see Fig.
1͑b͔͒: first ͑1͒ a flow of argon and helium as buffer gas is set
to 4 SCCM ͑SCCM denotes cubic centimeter per minute at
STP͒ ͑argon͒ and 15 SCCM ͑helium͒ at a pressure of 4 Pa.
Acetylene is added at a flow rate
; next ͑2͒, a capacitive
C H
2
2
discharge at a forward power of 70 W is ignited for a time
period ⌬t1 to induce particle formation; then ͑3͒ the acety-
lene flow is switched off and the antenna is used to sustain
the plasma in the inductive mode at 100 W forward power
for a time period ⌬t2=120 s. The particles generated from
acetylene in ͑2͒ stay confined in the discharge during phase
͑3͒; afterwards ͑4͒ the plasma is switched off and the par-
ticles are collected on the silicon substrate for ex situ analysis
with an atomic force microscope ͑AFM͒ and a scanning elec-
tron microscope ͑SEM͒.
After measuring the oscillation time period during phase
͑3b͒, the particles are deposited on a silicon sample. The
experiment is repeated for different injection times
⌬t1=2,4, ... ,32 s. The SEM is used to obtain high resolu-
tion images of the samples. For cases ͑a͒ 4 s, ͑b͒ 8 s, and ͑c͒
32 s such images are shown in Fig. 3. Obviously, the isolated
particles are monodisperse and have an almost perfect
spherical shape. Their diameters increase with ⌬t1. Apart
from the isolated particles, also groups of two or more par-
ticles are visible on the images. However, a tendency to form
cauliflowerlike ensembles, as reported for much larger par-
ticles in other experiments,9 cannot be observed. Therefore,
it is assumed that the particle islands on the substrate are
formed during switching off the plasma. With the help of
edge detection and image segmentation techniques the par-
ticle density and the diameter distribution of the isolated par-
ticles on the samples have been determined. The diameter is
found to follow a Gaussian probability distribution with a
standard deviation between 3 and 5 nm for all experiments.
The mean diameter ͗d͘ is denoted on the images in Fig. 3.
Measurements with an AFM confirm the spherical shape
of the particles. The distribution of particle heights from
AFM matches also the diameter distribution from the SEM
images. While the resolution of the SEM is restricted to par-
ticle diameters above Ӎ10 nm ͑the contrast of smaller par-
ticles is too weak to detect them reliably and their boundary
is not sharp͒, the AFM would in principle allow us to mea-
sure even smaller particles. Due to problems with particle
sticking to the AFM probe tip, however, it has not been pos-
sible to get reproducible images for particles Ͻ10 nm.
Figure 4 shows the correlation between the measured
The overall optical emission of the plasma is measured
by a photodiode. The time evolution for an experiment with
=4 SCCM and ⌬t1=4 s is shown in Fig. 2. During the
C H
2
2
capacitive plasma phase ͑2͒, the light emission is low com-
pared to the inductive phase ͑3͒ due to the much lower elec-
tron density. When powering the inductive antenna, the
plasma oscillations during phase ͑3͒ become clearly visible.
After interrupting the plasma ͑4͒ for a few seconds, the
plasma is switched on again and the emission remains stable
͓phase ͑5͒ in Fig. 2͔ from then on.
The principle mechanism driving the observed plasma
instability has been discussed in Ref. 7: during the injection
phase ͑2͒, particles are formed from acetylene. When the
inductive antenna is properly powered, the plasma imped-
ance is at the edge of the transition between capacitive and
inductive modes. Fluctuations in the spatial particle distribu-
tion cause strong variations in the heating efficiency, leading
to an oscillation between capacitive and inductive modes.
Consequently, a strong, chaotic modulation of the plasma
emission is observed ͓phase ͑3a͒ in Fig. 2͔. The situation is
comparable to an electron attachment instability with char-
acteristic frequencies of 102–104 Hz that has been observed
oscillation time period during phase ͑3b͒ and the mean par-
137.149.200.5 On: Sun, 30 Nov 2014 05:58:51