Environmental Engineering Reference
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Ta b l e A . 6 Conversion factors in formulas used in gas and plasma physics.
Number
Formula
C
Units
10 21 cm 3
1
N
D
Cp / T
7.339
p in atm, T in K
10 18 cm 3
9.657
p in Torr, T in K
10 19 To r r
N in cm 3 , T in K
2
p
D
CNT
1.036
CN e / T 3
10 21
N e in cm 3 , T in eV
3
γ D
2.998
10 9
N e in cm 3 , T in K
4.685
Cm 3/2 T 3/2
10 15 cm 3
4
D
2.415
T , m in emu
10 21 cm 3
T in eV, m in emu
3.019
10 20 cm 3
T in K, m in amu
1.879
10 26 cm 3
T in eV, m in amu
2.375
C / T 9/2
e
10 31 cm 6 /s
5
K
D
2.406
T e in 1000 K
C p N e / m
10 4 s 1
N e in cm 3 , m in emu
ω p D
6
5.642
1322 s 1
N e in cm 3 , m in amu
C p T / N e
N e in cm 3 , T in eV
r D D
7
525.3 cm
N e in cm 3 , T in K
4.876 cm
CU 3/2 m 1/2 l 2
10 8 A/cm 2
8
i
D
5.447
m in amu, l in cm, U in V
10 6 A 2
2.326
m in emu, l in cm, U in V
Cm 1/3 l 4/3 i 2/3
m in amu, l in cm, i in A/cm 2
9
U
D
69 594
m in emu, l in cm, i in A/cm 2
5697 V
Cm 1/4 U 3/4 i 1/2
10 4 cm
m in amu, U in V, i in A/cm 2
10
l
D
2.3338
10 3 cm
m in emu, U in V, i in A/cm 2
1.525
1 The gas state equation (4.12).
2 The gas state equation (4.12).
3 The ideality plasma parameter (1.3),
N e e 6 / T e .
γ D
4 Preexponent of the Saha formula (1.52)
2 )] 3/2 .
5 The rate constant of three body electro n-ion recom bination (2.71), K
D
[ mT /(2
π
1.5 e 10 /( m 1/ e T 9/2
e
D
).
p 4
6 The plasma frequency (1.13),
ω
D
π
N e e 2 / m e .
p
p T /(8
7 The Debye-Hückel radius (1.7), r D
D
π
N e e 2 ).
) p e /(2 m ) U 3/2 / l 2 ,where l is the distance between
electrodes, U isthedifferenceinelectrodevoltages, i is the maximum current density, and e and
m are the particle charge and mass.
9 The three-halves law in the form U
8 The three-halves law (1.31), i
D
2/(9
π
i /2) 2/3 (2 m / e ) 1/3 l 4/3 .
D
(9
π
10 The three-halves law in the form l
D
(2/(9
π
)) 1/2 ( e /(2 m )) 1/4 U 3/4 / i 1/2 .
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