Kinetic processes in negative glow plasma of low pressure discharge in oxygen
It is shown that electron energy distribution function of negative glow plasma of low pressure discharge in oxygen exhibits two-temperature behavior due to the influence of metastable molecules O²(a¹Δg), O²(b¹Σ+g) and excitation of O² vibrational levels. As well, spatial dependencies of the atomic o...
Gespeichert in:
Datum: | 2013 |
---|---|
Hauptverfasser: | , , , , |
Format: | Artikel |
Sprache: | English |
Veröffentlicht: |
Національний науковий центр «Харківський фізико-технічний інститут» НАН України
2013
|
Schriftenreihe: | Вопросы атомной науки и техники |
Schlagworte: | |
Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/112186 |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
Zitieren: | Kinetic processes in negative glow plasma of low pressure discharge in oxygen / V.V. Tsiolko, S.V. Matsevich, V.Yu. Bazhenov, V.M. Piun, A.V. Ryabtsev // Вопросы атомной науки и техники. — 2013. — № 4. — С. 166-170. — Бібліогр.: 14 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraineid |
irk-123456789-112186 |
---|---|
record_format |
dspace |
spelling |
irk-123456789-1121862017-01-23T22:27:05Z Kinetic processes in negative glow plasma of low pressure discharge in oxygen Tsiolko, V.V. Matsevich, S.V. Bazhenov, V.Yu. Piun, V.M Ryabtsev, A.V. Плазменно-пучковый разряд, газовый разряд и плазмохимия It is shown that electron energy distribution function of negative glow plasma of low pressure discharge in oxygen exhibits two-temperature behavior due to the influence of metastable molecules O²(a¹Δg), O²(b¹Σ+g) and excitation of O² vibrational levels. As well, spatial dependencies of the atomic oxygen concentration on the gas pressure and power density in the discharge plasma are determined by actinometry method. Показано, що функція розподілу електронів по енергіях плазми негативного світіння розряду низького тиску в кисні має двотемпературний характер із-за впливу метастабільних молекул O²(a¹Δg), O²(b¹Σ+g) та збудження коливальних рівнів О². Методом актинометрії встановлено просторові залежності концентрації атомарного кисню від тиску газу та питомої потужності в розряді. Показано, что функция распределения электронов по энергиям плазмы отрицательного свечения разряда низкого давления в кислороде имеет двутемпературный характер из-за влияния метастабильных молекул O²(a¹Δg), O²(b¹Σ+g) и возбуждения колебательных уровней О². Методом актинометрии установлены пространственные зависимости концентрации атомарного кислорода от давления газа и удельной мощности в разряде. 2013 Article Kinetic processes in negative glow plasma of low pressure discharge in oxygen / V.V. Tsiolko, S.V. Matsevich, V.Yu. Bazhenov, V.M. Piun, A.V. Ryabtsev // Вопросы атомной науки и техники. — 2013. — № 4. — С. 166-170. — Бібліогр.: 14 назв. — англ. 1562-6016 PACS: 52.80.-s, 52.25.Ya http://dspace.nbuv.gov.ua/handle/123456789/112186 en Вопросы атомной науки и техники Національний науковий центр «Харківський фізико-технічний інститут» НАН України |
institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
collection |
DSpace DC |
language |
English |
topic |
Плазменно-пучковый разряд, газовый разряд и плазмохимия Плазменно-пучковый разряд, газовый разряд и плазмохимия |
spellingShingle |
Плазменно-пучковый разряд, газовый разряд и плазмохимия Плазменно-пучковый разряд, газовый разряд и плазмохимия Tsiolko, V.V. Matsevich, S.V. Bazhenov, V.Yu. Piun, V.M Ryabtsev, A.V. Kinetic processes in negative glow plasma of low pressure discharge in oxygen Вопросы атомной науки и техники |
description |
It is shown that electron energy distribution function of negative glow plasma of low pressure discharge in oxygen exhibits two-temperature behavior due to the influence of metastable molecules O²(a¹Δg), O²(b¹Σ+g) and excitation of O² vibrational levels. As well, spatial dependencies of the atomic oxygen concentration on the gas pressure and power density in the discharge plasma are determined by actinometry method. |
format |
Article |
author |
Tsiolko, V.V. Matsevich, S.V. Bazhenov, V.Yu. Piun, V.M Ryabtsev, A.V. |
author_facet |
Tsiolko, V.V. Matsevich, S.V. Bazhenov, V.Yu. Piun, V.M Ryabtsev, A.V. |
author_sort |
Tsiolko, V.V. |
title |
Kinetic processes in negative glow plasma of low pressure discharge in oxygen |
title_short |
Kinetic processes in negative glow plasma of low pressure discharge in oxygen |
title_full |
Kinetic processes in negative glow plasma of low pressure discharge in oxygen |
title_fullStr |
Kinetic processes in negative glow plasma of low pressure discharge in oxygen |
title_full_unstemmed |
Kinetic processes in negative glow plasma of low pressure discharge in oxygen |
title_sort |
kinetic processes in negative glow plasma of low pressure discharge in oxygen |
publisher |
Національний науковий центр «Харківський фізико-технічний інститут» НАН України |
publishDate |
2013 |
topic_facet |
Плазменно-пучковый разряд, газовый разряд и плазмохимия |
url |
http://dspace.nbuv.gov.ua/handle/123456789/112186 |
citation_txt |
Kinetic processes in negative glow plasma of low pressure discharge in oxygen / V.V. Tsiolko, S.V. Matsevich, V.Yu. Bazhenov, V.M. Piun, A.V. Ryabtsev // Вопросы атомной науки и техники. — 2013. — № 4. — С. 166-170. — Бібліогр.: 14 назв. — англ. |
series |
Вопросы атомной науки и техники |
work_keys_str_mv |
AT tsiolkovv kineticprocessesinnegativeglowplasmaoflowpressuredischargeinoxygen AT matsevichsv kineticprocessesinnegativeglowplasmaoflowpressuredischargeinoxygen AT bazhenovvyu kineticprocessesinnegativeglowplasmaoflowpressuredischargeinoxygen AT piunvm kineticprocessesinnegativeglowplasmaoflowpressuredischargeinoxygen AT ryabtsevav kineticprocessesinnegativeglowplasmaoflowpressuredischargeinoxygen |
first_indexed |
2025-07-08T03:30:48Z |
last_indexed |
2025-07-08T03:30:48Z |
_version_ |
1837047951350824960 |
fulltext |
ISSN 1562-6016. ВАНТ. 2013. №4(86) 166
KINETIC PROCESSES IN NEGATIVE GLOW PLASMA
OF LOW PRESSURE DISCHARGE IN OXYGEN
V.V. Tsiolko, S.V. Matsevich, V.Yu. Bazhenov, V.M. Piun, A.V. Ryabtsev
Institute of Physics NAS of Ukraine, Kiev, Ukraine
E-mail: matsevich@iop.kiev.ua
It is shown that electron energy distribution function of negative glow plasma of low pressure discharge in oxy-
gen exhibits two-temperature behavior due to the influence of metastable molecules O2(a1Δg), O2(b1Σ+
g) and excita-
tion of O2 vibrational levels. As well, spatial dependencies of the atomic oxygen concentration on the gas pressure
and power density in the discharge plasma are determined by actinometry method.
PACS: 52.80.-s, 52.25.Ya
INTRODUCTION
At present, oxygen plasma is widely used in various
technologies, such as plasma cleaning and modification
of surface features of polymer materials, plasma sterili-
zation of medical instruments, synthesis of nanostruc-
tured materials, etc [1 - 3]. In spite of complex composi-
tion of such plasma (electrons, positively charged oxy-
gen molecule ions, neutral atoms, oxygen molecules in
metastable states), exactly atomic oxygen plays domi-
nant role in many practical applications. For measure-
ments of atomic oxygen concentration several methods
are used, including mass spectrometry, chemical titra-
tion using NO, optical absorption techniques such as
LIF and TALIF, catalytic probes and such method of
emission spectroscopy as actinometry [4 - 6]. Essence
of this method is in adding of small known amount of
actinometer gas (noble gases are commonly used) to the
gas under study, and by means of measurement of inten-
sity ratio for certain spectrum lines of actinometer gas
and the component of interest, ratio of their concentra-
tions is determined. This method is simple in implemen-
tation, it does not require costly equipment, and in prin-
ciple allows real time measurements. It should be noted,
however, that this method requires precise knowledge of
plasma electron energy distribution function (EEDF)
since the rates of excitation processes are very sensitive
to EEDF shape.
In the present paper results of experimental investi-
gations of parameters of negative glow plasma in the
hollow cathode discharge in oxygen are presented. Pe-
culiarity of such discharge consists in fact that practi-
cally whole applied voltage falls in narrow near-cathode
layer, and electric field in the plasma does not exceed
several Td. Gas ionization and electron heating in this
case are performed by fast electron beam ef with energy
Wf ∼ 400…700 eV, coming from the near-cathode re-
gion. Spatial distributions of EEDF shape are deter-
mined for different oxygen pressure values, and with the
use of experimentally measured EEDF dependencies of
atomic oxygen concentration on the system parameters
are determined. As well, numerical calculations of
EEDF are accomplished for the parameters correspond-
ing to experimental conditions.
1. EXPERIMENTAL SETUP AND METHODS
Experimental setup is schematically represented in
Fig. 1.
The measurements were performed in the discharge
chamber having 38 cm diameter and 42 cm length,
which simultaneously served as the discharge cathode,
at that the discharge anode having 30.5 cm diameter was
located near back side of the chamber.
Fig. 1. Scheme of the experimental setup
The front of the chamber was closed by glass win-
dow with diameter of 26 cm. Chamber evacuation was
performed by diffusion pump down to pressure of about
5⋅10-3 Pa, and after that working gas was supplied to the
chamber until reaching of predetermined pressure value.
For excluding oil vapor coming to the discharge cham-
ber, liquid nitrogen cooled trap was used. As working
gas, either pure oxygen, or mixture of oxygen with ar-
gon (O2 98% + Ar 2%) in case of actinometry studies
was used. Working gas pressure in the chamber was
varied in range of 1…16 Pa. The discharge power sup-
ply was provided by DC source with controlled voltage
and current values in ranges of 400…800 V and
100…600 mA, respectively. Power introduced in the
discharge varied in range of 50…350 W which corre-
sponded to specific power in the discharge
≈ 1…7 W/cm3.
The plasma density, electron temperature, electron
energy distribution function (EEDF) and electric field in
the plasma were measured using single and double
Langmuir probes made of a 100 μm tungsten wire, the
length of the collecting region being 10…12 mm. The
probes could be moved along and across the chamber.
To avoid the effect of contamination of the probe sur-
face on the probe current-voltage characteristic, the
probes were heated to ≈ 800°C after each measurement.
The probe characteristic was measured using an original
PC-controlled system. The program assigned the probe
current with step of 0.1 μA, and the probe voltage (with
ISSN 1562-6016. ВАНТ. 2013. №4(86) 167
respect to anode), the discharge voltage, and the dis-
charge current were measured at each step. The change
in the probe current at each step was calculated in real
time using a special algorithm intended for optimizing
the signal-to-noise ratio over the entire range of the
probe currents (the total number of steps in measuring
one current-voltage characteristic was 1500…2000).
After measuring the probe current in a given range at a
fixed discharge current and fixed discharge voltage, the
data on the probe current as a function of the probe volt-
age with respect to the anode were stored in a PC. Meas-
urements of the current-voltage characteristic at fixed
experimental conditions were repeated 10…30 times, and
the data stored in the PC were then averaged.
The EEDF was determined from the second deriva-
tive of the probe current with respect to the voltage,
obtained by numerically differentiating the averaged
current-voltage characteristic (by using pre-interpolation
if necessary) The plasma potential was determined from
the inflection point of the probe current-voltage charac-
teristic, and the plasma density was calculated from the
electron saturation current to the probe.
At determining atomic oxygen concentration by ac-
tinometry method, ratio of the emissions from the states
X*/A* is proportional to the concentration ratio [X]/[A]
(A and X stand for actinometer and the component of
interest, respectively) when the following conditions are
fulfilled:
- states X* and A* are formed mainly at the expense of
electron excitation from ground states of the compo-
nents X and A;
- X* and A* are deactivated mainly at the expense of
emission;
- cross sections of electron excitation of X* and A*
levels must have similar thresholds and shapes of
dependencies on electron energy.
At determining atomic oxygen concentrations, emis-
sions of oxygen atoms at 844.6 nm wavelength corre-
sponding to 3р3Р → 3s3S0 transition, at 777.4 nm
(3p5P → 3s5S0 transition) and argon atoms at 750.4 nm
corresponding to 2р1 → 1s2 transition (Paschen nota-
tion) were measured. Main contribution to formation
rates of oxygen excited states under consideration is
provided by mechanisms of direct oxygen atom excita-
tion by electron hit, and dissociative excitation of O2
molecule under electron hit. It should be noted that
cross section of direct excitation for О (844.6) is higher
than that for О (777.4) [7]. On the contrary, contribution
of dissociative excitation is higher for О (777.4) [8].
Thus, in case of О (777.4) emission, contribution of
dissociative excitation is essential and can influence the
obtained result. Taking into account processes of
quenching of excited levels due to collisions, expres-
sions for the emission intensities are, as follows:
∑ +
+
=
j
P
Q
P
ij
P
de
P
e
e
P
ij OkA
OkOknAhCI
][
][][
2
33
2
33
3
844844844 ν , (1)
∑ +
=
j
p
Q
p
ij
p
e
e
p
ij OkA
ArknAhCI
][
][
2
22
2
2
750750750 11
1
1ν , (2)
where C is constant describing peculiarities of the opti-
cal system; ν is emission frequency; Aij is Einstein coef-
ficient for respective transition; ΣAij is a sum of Einstein
coefficients for all transitions from given level; ne is
electron concentration; ke, kde, kQ are rate constants for
processes of excitation by direct electron hit, dissocia-
tive excitation, and quenching, respectively.
Rate constants are calculated using formula:
∫
∞
=
0
)()(2102
ε
εεσεε df
m
ek
e
, (3)
where e and me are electron charge and mass, respec-
tively, σ(ε) is cross section of respective process, ε0 is
threshold energy of the process, f(ε) is EEDF normal-
ized by unity. Division of (1) over (2) gives:
1111 2
3
3
2
2
2
3
3
2
750
844
][
][
p
e
P
deP
pp
e
P
eP
p k
kC
O
O
k
kC
I
I
+= ,
where
][
][
][
][ 2
2
33
2
22
2
3
750
8443
2
11
11 Ar
O
OkA
OkA
A
A
hv
hvC P
Q
P
ij
p
Q
p
ij
p
ij
P
ijP
p ∑
∑
+
+
= .
Following from this expression, relative atomic oxy-
gen concentration is:
P
e
P
de
P k
k
I
IC
O
O
3
3
750
844
3
2 ][
][
−= , (4)
where
][
][
][
][
2
3
2
2
22
2
33
3
2
844
750
3
1
11
1
O
Ar
k
k
OkA
OkA
A
A
hv
hv
C P
e
p
e
p
Q
p
ij
P
Q
P
ij
P
ij
p
ij
P ∑
∑
+
+
= .
Similar expression can be also obtained for О(777.4)
emission.
Spectrum measurements were performed by means
of CCD-spectrometer SL40-2-1024USB (SOLAR TII,
Minsk, Republic of Belarus). Optical system allowed
collecting of the plasma emission from cylindrical re-
gion (diameter of about 1 cm) with axis aligned in paral-
lel with the chamber one.
0 2 4 6 8 10 12 14 16 18
1E10
C
on
ce
nt
ra
tio
n
n e,
cm
-3
Radius R, cm
Fig. 2. Dependencies of plasma concentration ne on the
system radius R for different oxygen pressure values.
Close points – Р = 4 Pa, Ud = 650 V; open points
P = 11 Pa, Ud = 470 V. Wd = 5 mW/cm3
2. EXPERIMENTAL RESULTS
Fig. 2 exhibits dependencies of plasma density ne on
the system radius R for two oxygen pressure values.
(The measurements were performed in the middle plane
of the chamber.) One can see from the figure that radial
distributions of the plasma density for those oxygen
ISSN 1562-6016. ВАНТ. 2013. №4(86) 168
pressure values are essentially different – at P = 4 Pa the
plasma density is practically independent on R in central
region of the discharge (R ≈ 0…13 cm), whereas at
higher pressure the minimum of ne value is observed at
the discharge center. That is, in this case primary elec-
trons accelerated in the cathode layer up to energy ≈ eUd
lose major portion of their energy already at medium
radius value, and plasma in paraxial region is formed
mainly at the expense of diffusion of particles from pe-
riphery regions.
Electron energy distribution function for different
values of system radius and oxygen pressure are pre-
sented in Fig. 3,a,b. On can see from the figure that for
both pressure values the EEDF possesses bi-maxwellian
behavior at energy variations in range ε ≈ 0…10 eV, at
that temperature of “cold” (ec) electrons Te1 (in energy
range ε ≈ 0…2 eV) is essentially less than that of “hot”
(eh) electrons Te2 (ε ≈ 2…10 eV).
0 2 4 6 8 10
10-4
10-3
10-2
10-1
100
a)
R = 8 cmR = 0 cm
R = 13 cm
R = 16 cm
f(ε
),
eV
3/
2
ε, eV
0 2 4 6 8 10
10-4
10-3
10-2
10-1
100
R = 0 cm; 8 cm
b)
R = 13 cm
R = 16 cm
f(ε
),
eV
3/
2
ε, eV
Fig. 3. Electron energy distribution function f(ε)
at different system radius R for two oxygen pressure
values. Р = 4 Pa, Ud = 650 V (a); P = 11 Pa,
Ud = 470 V (b). Wd = 5 mW/cm3
Such EEDF shape is due to efficient excitation of
metastable states ga Δ1 and +Σ gb1 of oxygen molecule
having thresholds of 0.98 and 1.64 eV, respectively. It
should be also noted that at 4 Pa pressure relative quan-
tity of “hot” plasma electrons eh (that is, those responsi-
ble for inelastic processes) has maximum at the dis-
charge periphery, and decreases practically monoto-
nously toward the system axis. At the same time, at
11 Pa pressure relative quantity of electrons eh with ra-
dius R decrease from 16 to 13 cm diminishes at first,
and with subsequent R decrease remains practically
unchanged. Such difference in radial dependencies of
EEDF shape is due to the following. At 4 Pa pressure,
free run path of fast electrons ef with respect to energy
loss due to inelastic processes is essentially longer than
analogous value at 11 Pa pressure (both due to decrease
of concentration of oxygen molecules, and at the ex-
pense of higher electron energy Wf, proportional to Ud).
In other words, fast electrons ef at 11 Pa pressure lose
the energy at their motion from the cathode toward the
system center essentially faster than in case of 4 Pa
pressure. Since [9] mean energy of secondary electrons
εsec formed at ionization of oxygen molecules by elec-
trons ef diminishes with decrease of their energy Wf, it
results in slower radial decrease of relative quantity of
electrons eh at 4 Pa pressure, as compared with the case
of 11 Pa pressure.
One can see from radial dependencies of tempera-
tures Te1 and Te2 at different oxygen pressure values
(Fig. 4,a,b) that:
0 2 4 6 8 10 12 14 16 18
0,0
0,2
0,4
2
3
a)
Te1
Te2T e,
eV
Radius R, cm
0 2 4 6 8 10 12 14 16 18
0,0
0,2
0,4
2
3 b)
Te2
Te1
T e, e
V
Radius R, cm
Fig. 4. Dependencies of electron temperatures Te1 and
Te2 on system radius R for different oxygen pressure
values. P = 4 Pa (a) and P = 11 Pa (b). Wd = 5 mW/cm3
1) Te1 in both cases comprises about 0.2 eV and is
practically independent on the system radius. An exclu-
sion is represented by R range of 15…17 cm, where at
4 Pa temperature Te1 abruptly decreases from ≈ 0.4 eV
to ≈ 0.2 eV; 2) At the same time, behavior of radial de-
pendencies of temperature Te2 differs with pressure
variation. At P = 11 Pa Te2 decreases toward the center
from ≈ 2.3 to ≈ 1.5 eV, whereas in case of lower pres-
sure Te2, increase from ≈ 2.2 to ≈ 3.0 eV toward the
system center is observed. Decrease of Te2 toward the
system center at 11 Pa pressure is due to quick spatial
relaxation of energy of fast electrons ef and, respec-
tively, with decrease of mean energy of electrons εsec.
Certain growth of Te2 toward the discharge center at
4 Pa is possibly due to fact that, resulting from cylindri-
cal geometry of the discharge cathode, density of fast
electrons ef increases toward the system axis, which in
turn leads to “heating” of electrons eh. At the same time,
at 4 Pa pressure (as well as at 11 Pa) mean energy of
plasma electrons, as a whole, decreases toward the dis-
charge axis (Fig. 5)
a
b
b
a
ISSN 1562-6016. ВАНТ. 2013. №4(86) 169
0 2 4 6 8 10 12 14 16 18
0,0
0,4
0,8
1,2
1,6
11 Pa
4 Pa
T em
ea
n
Radius R, cm
Fig. 5. Dependencies of mean energy of plasma
electrons Te
mean on the system radius R for different
oxygen pressure values. Wd = 5 mW/cm3
Longitudinal electric field in main region of the dis-
charge plasma does not exceed ≈ 5 mV/cm and weakly
depends on the system radius. At the same time, radial
dependence of radial component of electric field Er has
non-monotonous behavior – while exhibiting growth in
a whole with increase of the system radius, Er conse-
quently passes local maximum and minimum with their
radial locations being dependent on oxygen pressure. Er
value shows certain growth with pressure decrease and
at middle system radius is about 15…25 mV/cm. As a
whole, at 4 Pa pressure absolute electric field value ⎥E⎥
is in range ≈ 1.5…4.5 Td, and at 12 Pa pressure -
≈ 0.5…1.5 Td.
In calculations of atomic oxygen concentrations at
different discharge parameters by means of expression
(4) cross sections and rates of processes taken from [7,
8, 10, 11] were used. Determining of rates of the proc-
esses (3) was accomplished with the use of experimen-
tally defined EEDF, approximated up to energy value of
50 eV. As well, it was supposed that gas temperature in
considered ranges of variations of pressure and specific
power comprised about 400…450 K.
-2 0 2 4 6 8 10 12
1E13
5E13
1E14
12 Pa
4 Pa
2 Pa
[O
],
cm
-3
Radius R, cm
Fig. 6. Radial dependencies of atomic oxygen concen-
tration [O] (obtained by means of I844/I750 ratio) in the
discharge plasma for different oxygen pressure values.
Wd = 5 mW/cm3
Fig. 6 exhibits radial dependencies of atomic oxygen
concentration [O] at different pressure values P obtained
with the use of I844/I750 ratio. One can see from the fig-
ure that at low pressure values (2 and 4 Pa) [O] in-
creases toward the system center, that is in a whole re-
produces ne radial dependence (although spatial rate of
the increase is somewhat lower). At the same time, at
12 Pa atomic oxygen concentration is practically inde-
pendent on the system radius, although plasma density
in this case has distinct minimum at the axis. Since tem-
perature Te2 in this case also decreases toward the sys-
tem axis, possible reason for such “flattening” of [O]
dependence is due to diffusion of atomic oxygen toward
the system center. One can also see from the figure that
at pressure growth, simultaneously with [O] increase,
oxygen dissociation degree [O]/[O2] decreases. Particu-
larly, at 2 Pa pressure the degree of dissociation at the
system axis is ≈ 4.5%, whereas pressure increase up to
12 Pa leads to [O]/[O2] decrease down to ≈ 2.5%.
Behavior of [O] radial dependence at the discharge
specific power variation is practically unchanged. One can
see from Fig. 7 that at 12 Pa [O] at the system axis remains
practically the same with specific power variation, whereas
[O] growth is observed at lower pressure values.
0 2 4 6 8
1E13
5E13
1E14
12 Pa
8 Pa
2 Pa[O
],
cm
-3
Wd, mW/cm3
Fig. 7. Dependencies of atomic oxygen concentration
[O] (obtained with the use of I844/I750 ratio)
at the system axis on specific power in the discharge Wd
for different oxygen pressure values
Analogous dependencies of [O] on the system pa-
rameters were also obtained in case of use of intensity
ratio I777/I750. However, oxygen concentration values
obtained in this case were several times higher. It is
possibly due to neglecting other processes of atomic
oxygen formation (particularly, dissociation of metasta-
ble molecules O2, which may provide essential influ-
ence on [O] calculation by means of I777/I750 ratio) or
incorrect approximation of EEDF behavior from energy
range ε = 0…10 eV to higher energy values, since cal-
culation of the rates of excitation processes requires
exact knowledge of high energy portion of the EEDF.
Unfortunately, method of Langmuir probes does not
allow precise measurements of EEDF shape for energy
values above 10…15 eV, and for this reason EEDF cal-
culations were performed for comparison with experi-
mental data.
3. CALCULATIONS AND DISCUSSION
For determining EEDF appearance, Boltzman equa-
tion is solved in two-term approximation [12]. At that,
transport cross section for electron scattering on oxygen
molecules is taken from [11], and main processes taken
into account in the integral of inelastic collisions are
listed in Table. In our model we consider that one half
of power introduced into the discharge is spent on oxy-
gen ionization in the discharge volume, and this ioniza-
tion occurs homogeneously in the whole discharge vol-
ume with rate w/(2εi), where w is specific power intro-
duced into the discharge, and εi is oxygen ionization
energy (12,2 eV). Energy distribution of secondary elec-
trons is taken proportional to 1/(εs
2+ε0
2), where εs is
ISSN 1562-6016. ВАНТ. 2013. №4(86) 170
secondary electron energy, and ε0 = 17.4 eV is parame-
ter, which is close to actual distribution [7].
N Reactions Threshold, eV Ref.
1 O2 + e O2(v) + e 0.195 11
2 O2 + e O2(1Δg) + e 0.98 13
3 O2 + e O2(b1Σg
+) + e 1.64 13
4 O2 + e O2(A3Σu
+) + e 4.5 11
5 O2 + e O2
* + e 6.0 13
6 O2 + e O2
+ + e + e 12.2 7
7 O2 + e O + O- 3.6 11
One can see from Fig. 8 that, as it was expected,
two-temperature EEDF behavior in energy range of
≈ 0…10 eV is, first of all, due to influence of excitation
of metastable states and vibrational levels of О2. At the
same time, one can see that calculated EEDF exhibits a
bend not only at energy ≈ 2 eV, but as well, at about
10 eV, at that temperature/mean energy of electrons at
energy values > 10 eV is several times higher than tem-
perature Te2. Such EEDF behavior may be a reason for
discrepancy in measured [O] values.
0 5 10 15 20 25
1E-6
1E-5
1E-4
1E-3
0,01
0,1
1
10
f(ε
),
eV
3/
2
ε, eV
- with O2
metast + O2
vibr
- without O2
metast
- without O2
metast + O2
vibr
Fig. 8. Calculated EEDF. P = 12 Pa, ⎥E⎥ = 1 Td
REFERENCES
1. U. Cvelbar, M. Mozetic, and M. Klanjsek-Gunde. Selec-
tive Oxygen Plasma Etching of Coatings // IEEE Trans-
actions On Plasma Science. 2005, v. 33, № 2, p. 236.
2. T. Gokus, R.R. Nair, et al. Making Graphene Lumi-
nescent by Oxygen Plasma Treatment // ACS Nano.
2009, v. 3, p. 3963-3968.
3. D.B. Graves. The emerging role of reactive oxygen
and nitrogen species in redox biology and some im-
plications for plasma applications to medicine and bi-
ology // J. Phys. D: Appl. Phys. 2012, v. 45, p. 263001.
4. J.W. Coburn, M. Chen. Optical emission spectros-
copy of reactive plasmas: A method for correlating
emission intensities to reactive particle density // J.
Appl. Phys.1980, v. 51, p. 3134.
5. R.E. Walkup, K.L. Saenger, G.S. Selwyn. Studies of
atomic oxygen in O2+CF4 RF discharge by two-photon
laser-induced fluorescence and optical emission spec-
troscopy // J. Chem Phys. 1986, v. 84, p. 2668.
6. N.S. Fuller, M.V. Malyshev, V.M. Donelly,
I.P. Herman. Characterization of transformer coupled
oxygen plasmas by trace rare gases-optical emission
spectroscopy and Langmuir probe analysis // Plasma
Sources Science and Technology. 2000, v. 9, p. 116-127.
7. R.R. Laher, F.R. Gilmore. Updated excitation and
ionization cross sections for electron impact on
atomic oxygen // J. Phys. Chem. Ref. Data. 1990,
v. 19, p. 277.
8. M.B. Schulman, F.A. Sharpton, S. Shung, C.C. Lin,
L.W. Anderson. Emission from oxygen atoms pro-
duced by electron-impact dissociative excitation of
oxygen molecules // Phys. Rev. A. 1985, v. 32, p. 2100.
9. C.B. Opal, E.C. Beaty, W.K. Peterson. Tables of
secondary-electron-production cross sections //
Atomic Data. 1972, v. 4, p. 209-253.
10. M. Hayashi. Bibliography of electron and photon
cross sections with atoms and molecules published
in the 20th century – Argon // NIFS Data – 72. 2003,
p. Argon 4.
11.Y. Itikawa, A. Ichimura, K. Onda, et al. Cross-
sections for collisions of electron and photons with
oxygen molecules // J. Phys. Chem. Ref. Data. 1989,
v. 18, № 1, p. 23-42
12. P.M. Golovinsky, V.P. Goretsky, A.V. Ryabtsev, et al.
Influence of cesium on the emission of hydrogen nega-
tive ions from the reflective discharge source // Zh.
Tech. Fiz. 1991, v. 61, № 10, p. 46-52 (in Russian).
13. R. Higgins, C.J. Noble, P.G. Burke. Low energy
electron scattering by oxygen molecules // J. Phys.
B: At. Mol. Opt. Phys. 1994, v. 27, p. 3203-3216.
14. H.C. Straub, P. Renault, B.G. Lindsay, et al. Abso-
lute partial cross sections for electron-impact ioniza-
tion of H2, N2, and O2 from threshold to 1000 eV //
Physical Review A. 1996, v. 54, № 3, p. 2146-2153.
Article received 05.04.2013.
КИНЕТИЧЕСКИЕ ПРОЦЕССЫ В ПЛАЗМЕ ОТРИЦАТЕЛЬНОГО СВЕЧЕНИЯ РАЗРЯДА
НИЗКОГО ДАВЛЕНИЯ В КИСЛОРОДЕ
В.В. Циолко, С.В. Мацевич, В.Ю. Баженов, В.М. Пиун, А.В. Рябцев
Показано, что функция распределения электронов по энергиям плазмы отрицательного свечения разряда
низкого давления в кислороде имеет двутемпературный характер из-за влияния метастабильных молекул
O2(a1Δg), O2(b1Σ+
g) и возбуждения колебательных уровней О2. Методом актинометрии установлены простран-
ственные зависимости концентрации атомарного кислорода от давления газа и удельной мощности в разряде.
КІНЕТИЧНІ ПРОЦЕСИ В ПЛАЗМІ НЕГАТИВНОГО СВІТІННЯ РОЗРЯДУ НИЗЬКОГО ТИСКУ
В КИСНІ
В.В. Ціолко, С.В. Мацевич, В.Ю. Баженов, В.М. Піун, А.В. Рябцев
Показано, що функція розподілу електронів по енергіях плазми негативного світіння розряду низького
тиску в кисні має двотемпературний характер із-за впливу метастабільних молекул O2(a1Δg), O2(b1Σ+
g) та
збудження коливальних рівнів О2. Методом актинометрії встановлено просторові залежності концентрації
атомарного кисню від тиску газу та питомої потужності в розряді.
|