Table I
Ratio of Radiative Recombination Intensity to Bremsstrahlung Intensity for Hydrogen
T e R LB R BP 10,000 213 9.20 20,000 16.5 2.28 30,000 6.12 1.22 40,000 3.47 0.82 50,000 2.35 0.62 60,000 1.76 0.49 70,000 1.40 0.41 80,000 1.16 0.35 90,000 0.98 0.31 100,000 0.86 0.27 150,000 0.52 0.15 200,000 0.343 0.103 250,000 0.266 0.081 300,000 0.217 0.066 350,000 0.183 0.057 400,000 0.159 0.050 500,000 0.125 0.039 600,000 0.103 0.033 700,000 0.088 0.028 800,000 0.076 0.024 900,000 0.067 0.022 1,000,000 0.064 0.019
Table II
Total Continuum Intensity Ratios for Hydrogen
T e b λ (T e I λ /N e 2 = 3000 Å)a B λ (T e I λ /N e 2 (λ = 4500 Å)I (3000 Å) ÷ (4500Å)1.0 × 104 0.186 × 10−42 40.0 × 10−42 0.41 × 10−42 4.03 × 10−42 9.92 1.5 × 104 0.752 30.9 0.97 4.45 6.95 2.0 × 104 1.45 24.98 1.44 4.31 5.80 3.0 × 104 2.66 18.54 2.03 4.12 4.50 4.0 × 104 3.42 14.81 2.26 3.81 3.89 5.0 × 104 3.87 12.67 2.38 3.64 3.48 6.0 × 104 4.15 11.08 2.41 3.39 3.27 7.0 × 104 4.32 10.04 2.41 3.22 3.12 8.0 × 104 4.40 9.27 2.39 3.07 3.02 9.0 × 104 4.43 8.55 2.35 2.94 2.91 1.0 × 106 4.45 8.04 2.32 2.83 2.84 2.0 × 106 3.98 5.35 1.92 2.12 2.52 1.0 × 106 2.16 2.29 0.975 0.994 2.30 1.0 × 106 0.713 0.717 0.318 0.319 2.25
a I λ =
N e 2 b λ (
T e )[1+
R ];
Eq. (17) .
Table III
Number Densities Corresponding to Maximum Quantum Numbers Observed in Series Limit
Maximum Quantum number n Ion density N c a −3 ) 5 1.7 × 1018 6 4.2 × 1017 7 1.3 × 1017 8 4.9 × 1016 9 2.0 × 1016 10 9.1 × 1015 11 4.5 × 1015 12 2.3 × 1015 13 1.3 × 1015 14 7.2 × 1014 15 4.4 × 1014 16 2.7 × 1014 17 1.7 × 1014 18 1.1 × 1014 19 7.4 × 1013 20 5.0 × 1013 21 3.5 × 1013 22 2.5 × 1013 23 1.8 × 1013 24 1.3 × 1013 25 9.6 × 1012 26 7.1 × 1012 27 5.3 × 1011 28 4.1 × 1012 29 3.1 × 1012 30 2.4 × 1012
a N c =
N e +
N i ,
T < 10
5 /
n.N c =
N e =
N i ,
T >10
5 /
n .
Table IV
Minimum Electron Number Density for Negligible Radiative Depopulation
Minimum electron number density(m−3 )
Species Designation T e T e T e T e T e H 2p 2 P0 1 × 1021 1 × 1021 2 × 1021 3 × 1021 1 × 1022 He I 2s 3 S 2 × 1021 3 × 1021 6 × 1021 8 × 1021 2 × 1022 He II 2p 2 P0 7 × 1022 1 × 1023 2 × 1023 2 × 1023 7 × 1023 O I 3p 5 P 6 × 1020 8 × 010 1 × 1021 2 × 1021 6 × 1021 O II 2p4 4 P 4 × 1023 6 × 1023 9 × 1023 1 × 1024 4 × 1024 O III 2p3 3 P0 2 × 1024 3 × 1024 4 × 1024 6 × 1024 2 × 1025 O IV 2p2 2 P 8 × 1024 1 × 1025 2 × 1025 3 × 1025 8 × 1025 A I
4
s
[
1
1
2
]
0 2 × 1021 3 × 1021 6 × 1021 8 × 1021 2 × 1022 A II 3p6 2 S 2 × 1023 3 × 1023 4 × 1023 6 × 1023 2 × 1024 A III 3p5 3 P0 9 × 1023 1 × 1024 2 × 1024 3 × 1024 9 × 1024
Table V
Constants for A I Spectrum Linesa
Line wavelength λ (Å) g m Excitation potentialE m A mn −1 )4158.59 5 14.52 0.066 × 107 4259.36 1 14.73 0.246 × 107 4272.17 3 14.52 0.037 × 107 6965.43 3 13.32 0.531 × 107 7272.94 3 13.32 1.61 × 107 7383.98 5 13.30 0.868 × 107 7503.87 1 13.47 4.32 × 107 7514.65 1 13.26 3.62 × 107 7635.11 5 13.17 2.03 × 107 7948.18 3 13.28 1.47 × 107 8103.69 3 13.15 2.68 × 107 8115.31 7 13.07 2.22 × 107 8264.52 3 13.32 1.55 × 107 8408.21 5 13.29 1.99 × 107 8424.65 5 13.09 1.94 × 107
a Reference
22 .
Table VI
Constants for A II Spectrum Linesa
Line wavelength λ (Å) Excitation potentialE m g m A mn −1 )4348.11 19.49 8 11.5 × 107 4379.74 19.76 2 11.6 × 107 4579.39 19.96 2 7.44 × 106 4589.93 21.12 6 6.40 × 107 4609.60 21.13 8 9.06 × 107 4637.25 21.12 6 0.64 × 107 4657.94 19.79 2 6.95 × 107 4764.89 19.86 4 5.40 × 107 4806.90 19.21 6 7.86 × 107 4847.90 19.30 2 0.95 × 107 4879.90 19.68 6 6.59 × 107 4933.24 19.25 4 1.60 × 107 5009.35 19.22 6 1.70 × 107 5062.07 19.25 4 2.20 × 107
a Reference
22 .
Table VII
FeI Lines for Use in Line Temperature Measurementsa
Line wavelength λ (Å) f mn g m Excitation potentialE m 3067.24 520 4.95 3024.03 16 4.21 3009.57 320 5.03 3003.03 190 5.08 2999.51 340 4.99 3007.29 11 4.21 2970.11 27 4.27 2981.45 14 4.21 2986.46 3.5 4.26 3017.63 16 4.22 3018.98 310 5.06 3026.46 270 5.08 3031.64 220 5.10 3040.43 160 4.99 3041.75 230 5.03
a Reference
23 .
Table VIII
Carbon Lines Used to Determine Excitation Temperaturesa
Ion Ionization potentialχ i Line wavelength λ (Å) Excitation potentialE m f mn g m C0 11.26 — — — C+ 24.38 3921 19.49 0.56 C+ — 4267 20.95 5.0 C+ — 5145 32.11 0.07 C+ — 6578 16.33 1.1 C2+ 47.87 3610 42.82 1.8 C2+ — 4070 42.95 10.6 C2+ — 4647 32.19 1.15 C2+ — 5696 34.26 1.2 C3+ 64.48 3936 58.35 2.1 C3+ — 4442 58.43 1.8 C3+ — 4789 58.35 0.4 C3+ — 5802 39.67 0.57
a Reference
24 .
Table IX
Typical Normal Temperatures of Atoms and Ionsa
Species Normal temperature (°K) Si I 5500 H 10,000 Si II 11,000 C II 16,000 He I 17,000 N II 19,000 Si III 19,000 O II 20,000 C III 25,000 Si IV 27,000 N III 28,000 He II 35,000 O IV 36,000 C IV 40,000
a Reference
20 .
Table X
Electron Energies Required to Excite Various States of Oxygen, Carbon and Argon
Species Line wavelength (Å) Excitation energy (eV) Ionization energy (eV) Total ionization energy (eV) Total energy (eV) O I 1302 7.68 0.00 0.00 7.68 O II 834 14.58 13.61 13.61 28.46 O II 539 22.99 13.61 13.61 36.60 O III 835 14.88 35.15 48.76 63.64 O III 374 33.17 35.15 48.76 81.93 O IV 790 15.73 54.94 103.70 119.43 O IV 239 52.00 54.94 103.70 155.70 C I 1657 7.49 0.00 0.00 7.49 C I 2478 7.68 0.00 0.00 7.68 C II 858 14.44 11.26 11.26 25.70 C III 977 12.69 24.38 35.64 48.33 C IV 1548 8.01 47.86 83.50 91.51 A I 4158.6 14.52 0.00 0.00 14.52 A II 4426.0 19.54 15.76 15.76 35.30 A III 3301.9 25.38 27.62 43.38 68.76 A IV 2809.4 35.46 40.90 84.28 119.74
Table XI
Half-Amplitude Values of α for Hydrogen Balmer Lines
Line Wavelength α ½ Hα 6563 0.015 Hβ 4861 0.087 Hγ 4340 0.10 Hδ 4102 0.18
Table XII
Molecular Band Systems and Bands Suitable for Temperature Measurements in Plasmas and Arcs
Band system Bands Reference N 2 second positive(0, 0) 3371.3 Å; (0, 1) 3576.9 Å; (1, 2) 3536Å Robinson36 N2 + first negative (0, 0) 3914.4 Å Ornstein and Van Wijk37 NO β system (0, 8) 3198 Å; (0, 11) 3788.5 Å Robinson and Nicholls38 et al .39 NO γ system (0, 2) 2471 Å; (0, 3) 2588 Å Gerö and Schmid40 CN violet (0, 1) 4216 Å; (0, 0) 3883.4 Å Jevons41 etal .42 C2 Swan (0, 0) 5165.2 Å Johnson43 65 , Gaydon and Wolfhard44 CH 3900 Å; 4315 Å Gaydon and Wolfhard45 OH violet (0, 0) 3064 Å; (1, 0) 2811.3 Å Dieke and Crosswhite46 47 O2 + positive (0, 5) 3398 Å; (1, 6) 3494 Å; (0, 6) 3604Å Robinson and Nicholls38 48 49 O2 Schumann-Runge 1300–1750 Å Evans and Schexnayder50
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