PKE-Nefedov Symposium - 2004
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Transcript of PKE-Nefedov Symposium - 2004
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PKE-Nefedov Symposium - 2004
Institute for High Energy Densities of RAS
Measurements of Ion Drag Force
acting on a Probe Particle in a DC Discharge
A.Usachev, V.Esenkov, A.Zobnin
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Content:
1. Electron microscopy of the probe microparticles.
2. Experimental method and results.
3. Comparison experimental results with the modern theories of ion drag force.
Institute for High Energy Densities of RAS
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1. Electron microscopy of the probe microparticles.
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MF 4.00 0.08 mHitachi S405A scanning electron microscope
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Institute for High Energy Densities of RAS
MF 4.00 0.08 m
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Institute for High Energy Densities of RAS
MF 6.86 0.12 m
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Institute for High Energy Densities of RAS
MF 6.86 0.12 m
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Institute for High Energy Densities of RAS
5.4 5.6 5.8 6 6.2 6.4 6.6 6.8 7 7.2 7.4
D p , m
0
5
10
15
20
25
Np
m
3 3.2 3.4 3.6 3.8 4 4.2 4.4 4.6
D p , m
0
5
10
15
20
25
Np
m
Results on Particle Size Measurements
New measurements: Aug.2004
2.8 3.2 3.6 4 4.4d,m km
0
4
8
12
16
20
N
5 .6 6 6.4 6.8 7.2d,m km
0
4
8
12
16
20
N
Old measurements: May.2004
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Laser knife
Phantom-5
Laser400 mW
Injector
Cathode
Anode
Sphericaltelescope
Cylindricaltelescope
Mirror
PK-4 tube
Probe particles
Vacuum pump
Fill gas
p = 20, 40, 60 Pа
IDC = 0.5, 1.0, 1.5 мА
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2. Experimental method and results.
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Setup for measurements of Ion drag force
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Observation of falling probe particles
Particles – MF-F, r = 2,00 m
Neon pressure p = 60,2 Pа
Discharge current I = 0,5 мА
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Data treatment
а – particle radiusmass densitymn – neon atom mass
nn – neon atoms density
Zd – particle charge
p – velocity of falling probe particlen,th – mean thermal velocity of neon atoms
frF
eF
ionF
gF
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Determination of Delta
Measured particle velocitiesin neutral gas
a = 2,00 m, p = 60 Pа, p = 7,3 см/s, I = 0 мА.
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20 Па 40 Па 60 Паa = 3,43 мкм 1,608 1,607 1,635a = 2,00 мкм 1,49 1,54 1,53
Experimental data on δ:
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20 Па 40 Па 60 Паd=6,86 мкм 1,46 1,46 1,49d=4,00 мкм 1,38 1,42 1,41
a) using passport data on diameter:
b) using measured data on diameter:
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Measured particle velocities
Institute for High Energy Densities of RAS
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Zd for a = 3,43 m
P , Па I , мА E , В/см Te , эВ Ne , 108 см-3 Zd ММД Zd МОО
20,2 0,5 2,5 9,2 0,9 15000 24500
20,2 1,0 2,0 7,7 1,6 15200 21400
20,2 1,3 2,0 6,8 2,1 14400 19400
40,1 0,5 2,5 9,2 1,2 14000 24500
40,1 1,0 2,0 7,7 2,0 13300 21400
40,1 1,5 2,0 6,8 2,8 12600 19400
60,2 0,5 2,5 8,0 1,4 13400 22000
60,2 1,0 2,0 7,2 2,6 11000 20300
60,2 1,5 2,0 6,4 3,6 11100 18500
Electric force
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P , Па I , мА E , В/см Te , эВ Ne , 108 см-3 Zd ММД Zd МОО
20,3 0,5 2,5 9,2 0,9 8700 14300
20,1 1,0 2,0 7,7 1,6 8900 12500
20,1 1,3 2,0 6,8 2,1 8400 11200
40,2 0,5 2,5 9,2 1,2 8200 14300
40,3 1,0 2,0 7,7 2,0 7600 12500
40,5 1,5 2,0 6,8 2,8 7300 11200
60,3 0,5 2,5 8,0 1,4 7800 12800
60,4 1,0 2,0 7,2 2,6 6400 11800
60,0 1,5 2,0 6,4 3,6 6500 11500
Zd for a = 2,00 мкм
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0 . 4 0 . 8 1 . 2 1 . 6
I , m A
0
2
4
Fio
n, 1
0-13 N
0 . 4 0 . 8 1 . 2 1 . 6
I , m A
0
2
4
Fio
n, 1
0-13 N
Ion drag force vs dc for
а = 2.00 мкм
а = 3.43 мкм
Institute for High Energy Densities of RAS
(P=20 Pа, PP=40 =40 PPаа, P=60 Pа)
experiment
Theory
а = 3.43 мкм
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Comparison of different forces acting on a probe particle
P , Па I , мА F ion , 10-13НF e , 10-13НF g , 10-13НF n , 10-13Н dF ion , 10-13Н
20,2 0,5 3,00 6,00 25,06 22,06 1,6
20,2 1,0 1,16 4,87 25,06 21,35 1,4
20,2 1,3 0,90 4,61 25,06 21,35 1,4
40,1 0,5 2,04 5,61 25,06 21,49 1,5
40,1 1,0 1,44 4,26 25,06 22,24 1,4
40,1 1,5 0,84 4,03 25,06 21,87 1,4
60,2 0,5 1,13 5,36 25,06 20,83 1,5
60,2 1,0 0,29 3,52 25,06 21,83 1,3
60,2 1,5 1,21 3,56 25,06 22,71 1,3
a = 3,43 мкм
P , Па I , мА F ion , 10-13
Н F e , 10-13
Н F g , 10-13
Н F n , 10-13
Н dFion, 10-13
N
20,3 0,5 2,31 3,35 4,97 3,93 0,820,1 1,0 1,06 2,28 4,97 3,75 0,620,1 1,2 1,61 2,69 4,97 3,89 0,740,2 0,5 2,58 3,50 4,97 4,05 0,840,3 1,0 2,07 2,84 4,97 4,20 0,740,5 1,5 1,79 2,69 4,97 4,07 0,760,3 0,5 2,36 3,27 4,97 4,06 0,860,4 1,0 1,80 2,49 4,97 4,29 0,760,0 1,2 1,39 2,07 4,97 4,29 0,6
a = 2,00 мкм
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Theoretical models:
1. “Classic” with r=rDion (M.S.Barnes, J.H.Keller, et al., Phys. Rev. 68, 313 (1992) ).
2. Enhanced “classic” with r=rD_el (S.A.Khrapak, A.V.Ivlev, G.E.Morfill, and H.M.Thomas, Phys. Rev. 66, 046414 (2002) ).
3. “Strong interaction” (S.A.Khrapak, A.V.Ivlev, G.E.Morfill, S.K.Zhdanov, and H.M.Thomas, EEE Trans. Plasmas Sci. (2004), to be published ).
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“Classic” model [1]
а – probe particle radiusmi – neon atom mass
s – potential of particle surface
ui – ion drift velocity
qi – ion charge
Qd – particle charge
bc
b
Institute for High Energy Densities of RAS
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Enhanced “classic” model [2]
Applicable at
We have
Institute for High Energy Densities of RAS
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Analytic approximation of the cross-section is
Applicable for strong interactions)
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Enhanced “classic” model
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Comparison of the experimental results with the theoriesfor and d=6.2m :
а) б) в)
0 . 4 0 . 8 1 . 2 1 . 6
I , m À
0
2
4
Fio
n,
10
-13 N
0 . 4 0 . 8 1 . 2 1 . 6
I , m À
0
2
4
Fio
n,
10
-13 N
0 . 4 0 . 8 1 . 2 1 . 6
I , m À
0
2
4
Fio
n,
10
-13 N
Institute for High Energy Densities of RAS
(P=20 Pа, PP=40 =40 PPаа, P=60 Pа)
Barnes et al: Khrapak1 et al: Khrapak2 et al:
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Thank you for your attention