ABSTRACT
J = 0 → 2 0046 1758 Rotational J = 1 → 3 0073 1050 Rotational J = 2 → 4 0101 0802 Rotational J = 3 → 5 0128 0828 Rotational v = 0 → 1, ΔJ = 0 0516 0201 Vibrational,
rotationally elastic
v = 0 → 1, ΔJ = 0 0558 0267 Vibrational, rotationally elastic
v = 1 → 2 103 742 × 10−3 Vibrational v = 2 → 3 155 62 × 10−4 Vibrational
Source:Adapted from Raju, GG, Gaseous Electronics: Theory and Practice, Taylor & Francis, London, 2005
Note:The cross sections in the last two rows are at threshold and not maximum
TABLE 18.6 Rotational Excitation Cross Section (10−20 m2)
Rotational Excitation Cross Section
Energy (eV)
Qrot J=0→2
Energy (eV)
Qrot J=1→3
Energy (eV)
Qrot
J = 2 → 4 J = 3 → 5 00439 00 00727 00 01008 00
0047 0019 0075 00070 01280 00
0050 0027 008 00140 015 00272 0016
0055 0035 0085 00198 020 00474 0037
0060 0042 009 00237 025 00557 0051
0065 0048 0095 00265 030 00663 0062
0070 0053 01 00280 035 00766 0072
0080 0062 011 00330 040 00872 0082
0090 0068 012 00364 045 00955 0093
010 0074 013 00394 050 01054 0104
011 0079 015 00450 060 0132 0129
013 0088 02 00580 070 0162 0160
015 0097 025 00719 080 0193 0194
020 0115 03 00860 090 0227 0233
025 0132 035 01000 10 0266 0271
030 0152 04 01140 15 0463 0478
035 0175 045 01285 20 0619 0637
040 0200 05 01439 25 0719 0742
045 0228 056 01633 30 0774 0799
050 0260 06 01776 35 0799 0825
060 0323 066 01996 40 0802 0828
070 0394 07 02135 45 0790 0818
080 0469 08 02518 50 0771 0797
090 0555 09 02919 55 0748 0774
10 0636 101 03338 60 0721 0747
12 0796 12 0420 70 0669 0692
15 1036 14 0510 80 0617 0640
20 1370 16 0610 100 0529 0548
25 1585 18 0700
TABLE 18.4 Recommended Momentum Transfer Cross Sections
Energy (eV)
QM (10−20 m2)
Energy (eV)
QM (10−20 m2)
Energy (eV)
QM (10−20 m2)
00001 635 035 1345 7 890
0001 640 04 1390 8 785
0002 650 05 1475 10 680
0003 660 07 1630 12 620
0005 680 10 1740 15 550
0007 710 12 1780 17 520
00085 720 13 1805 20 380
001 730 15 1825 30 270
0015 765 17 1815 40 210
002 805 19 1810 50 170
003 850 21 1790 70 120
004 896 22 1770 80 100
005 928 25 1720 100 080
007 985 28 1690 200 040
010 1050 3 1630 300 029
012 1085 33 1560 400 021
015 1140 36 1505 500 018
017 1160 40 1475 600 016
020 1205 45 1390 800 015
025 1250 50 1310 1000 012
030 1300 60 1150
Note:See Figure 183 for graphical presentation
Rotational Excitation Cross −20 m2)
Rotational Excitation Cross Section
Energy (eV)
Qrot J=0→2
Energy (eV)
Qrot J=1→3
Energy (eV)
Qrot
J = 2 → 4 J = 3 → 5 30 1704 20 0786
35 1755 25 0937
40 1758 30 1014
45 1732 35 1046
50 1689 40 1050
60 1579 45 1036
70 1462 50 1011
80 1350 60 0946
90 1248 70 0876
100 1156 80 0809
150 0730 90 0748
100 0694
150 0450
Source:Adapted from England, JP, MTElford, and RWCrompton, Aust. J. Phys., 41, 573, 1988
Note:See Figure 184 for graphical presentation
TABLE 18.7 Vibrational Excitation Cross Section
QV (10−20 m2) QV (10−20 m2)
Energy (eV) v=0→1, ΔJ = 0 v = 0 → 1, ΔJ = 2 0516 00
0558 00 056 00028 0575 00005 060 00053 00013 065 00082 00032 075 00143 00078 085 00206 00134 095 00280 00205 100 00322 00248 105 00363 00287 110 00407 00333 115 00450 00380 120 00499 00437 130 00594 00549 140 00688 00653 160 00865 00892 180 01038 01139 22 01394 01639 24 01561 01869 26 01709 02121 30 01916 02494 35 02008 02672 40 01860 02540 45 01630 02270 50 01460 02040 60 01160 01640 70 00876 01224
80 00637 00879
continued
10(a)
0.1
0.01 0.01 0.1 1 10 100
Rotational (0.044 ev)
0.073 ev
Energy (eV)
Cr os
ss ec
tio n
(1 0-
2 )
H2
Rotational (0.101 ev)
0.128 eV
0.1
0.01 0.01 0.1 1 10 100
Energy (eV)
Cr os
ss ec
tio n
(1 0-
2 ) FIGURE 18.4 Continued
See Tables 188 through 1810
See Table 1811
TABLE 18.8 Excitation Levels of H2 Molecule from Ground State
State Onset (eV) Qex (Maximum)
(10−20 m2) Remarks
b 3Σu+ 69KS 083 Unstable lower state of continuous spectrum; leads to dissociation
B 1Σu+ 11183W, 1136H 055 Optically allowed transition (Lyman bands)
c 3Πu 11789W, 1187H 020 Optically forbidden transition to triplet state
a 3Σg+ 11793W, 1189H 025 Optically forbidden transition to triplet state
C 1Πu 12295W 425 Optically allowed transition (Werner bands)
B′ 1Σu+ 148MLM 005 Optically allowed transitionZ
Source: Adapted from Raju, G G, Gaseous Electronics: Theory and Practice, Taylor & Francis, London, 2005
Note:H = Herzberg (1950); KS = Khakoo and Segura (1994); Mu-Tao et al, 1982; Wrkich et al (2002); Z = Zecca et al (1996)
Vibrational Excitation Cection
QV (10−20 m2) QV (10−20 m2)
Energy (eV) v=0→1, ΔJ = 0 v = 0 → 1, ΔJ = 2 90 00506 00684
100 00376 00498 110 00292 00388 120 00215 00285 130 00180 00200 140 00170 00150
150 00150 00100
Source:Adapted from England, JP, MTElford, and RWCrompton, Aust. J. Phys., 41, 573, 1988
Note: See Figures 185 and 186 for graphical presentation
Cross Section Derived from Monte Carlo Simulation
Level Threshold
(eV) Peak
Energy X-Section at Peak
(10−20 m2)
b 3Σu+ 88 16 028 B 1Σu+ 1137 40 048 c 3πu 1187 15 056 a 3Σg+ 1189 15 009 C 1πu 1240 35 024 E 1Σg+ 1240 50 0076 e 3Σu+ 1336 165 0068 B′ 1Σu+ 1370 40 0038 d 3πu 1397 185 0034 D 1πu 1412 50 0012 Ionization 15425 70 0972
r02 00439 4 184
r13 00727 4 107
v01 0516 3 050
v02 1003 43 0040
Source:Adapted from Hayashi, M, J. Phys., Colloque c7, 45, 1979
See Table 1812
See Table 1814
Recommended Total ECross Section
Energy (eV) Qex
(10−20 m2) Energy (eV)
Qex (10−20 m2)
Energy (eV)
Qex (10−20 m2)
89 900E-05 19 111 150 091
90 900E-05 20 118 200 088
10 012 25 128 300 063
11 021 30 135 400 055
12 049 40 133 500 047
13 069 50 129 600 039
14 084 60 123 700 036
15 095 70 117 800 033
16 104 80 110 900 064
17 108 90 104 1000 028
18 110 100 099
Note:See Figure 187 for graphical presentation
1 10 1000
0.1
0.01
Energy (eV)
Cr os
ss ec
tio n
(1 0-
2 )
Qex (H2)
TABLE 18.11 Recommended Ionization Cross Section for H2 Energy (eV) H2+ (10−20 m2) H+ (10−20 m2) Total (10−20 m2)
17 00611 00611
20 0279 02790
25 0513 00046 05176
30 0690 00092 06992
35 0795 00188 08138
40 0868 00307 08987
45 0896 00436 09396
50 0916 00514 09674
55 0930 00608 09908
60 0937 00664 10034
65 0934 00724 10064
70 0931 00748 10058
75 0922 00781 10001
80 0913 00782 09912
85 0902 00794 09814
90 0890 00797 09697
95 0881 00803 09613
100 0868 00800 09480
110 0839 00784 09174
120 0820 00761 08961
140 0774 00704 08444
160 0732 00668 07988
180 0684 00618 07458
200 0648 00569 07049
225 0609 00526 06616
250 0572 00467 06187
275 0534 00428 05768
300 0507 00406 05476
350 0458 00350 04930
400 0419 00303 04493
450 0383 00267 04097
500 0358 00248 03828
550 0326 00217 03477
600 0305 00201 03251
650 0290 00185 03085
700 0272 00175 02895
750 0261 00162 02772
800 0247 00152 02622
850 0238 00140 02520
900 0226 00137 02397
950 0213 00127 02257
1000 0202 00119 02139
Note: See Figure 188 for graphical presentation
0 200 400 600 800 1000 Energy (eV)
Ionization cross section (H2)
0.1
0.001
0.01
Cr os
ss ec
tio n
(1 02
0 m 2 )
H2
H+
TABLE 18.12 Recommended Drift Velocity for Electrons in H2 E/N (Td) W (m/s) E/N (Td) W (m/s) E/N (Td) W (m/s)
0002 025 2760 80 165(4)
0003 030 3130 100 187(4)
0004 035 3470 120 207(4)
0006 040 3790 140 227(4)
0009 050 4330 170 255(4)
0012 1862 060 4820 200 281(4)
002 3110 070 5240 250 322(4)
0025 3850 080 5610 300 366(4)
003 4590 10 623(3) 350 408(4)
0035 5300 12 662(3) 400 454(4)
004 6000 14 692(3) 50 571(4)
005 7370 17 764(3) 60 695(4)
006 8700 20 837(3) 70 830(4)
007 9980 25 913(3) 80 980(4)
008 1120 30 982(3) 100 128(5)
010 1370 35 108(4) 120 166(5)
012 1580 40 115(4) 140 194(5)
014 1780 50 129(4) 150 213(5)
017 2070 60 142(4) 200 336(5)
020 2350 70 154(4) 250 419(5)
300 468(5) 700 923(5) 2300 200(6)
350 522(5) 800 994(5) 2650 235(6)
Drift Velocity for Electrons in H2 E/N (Td) W (m/s) E/N (Td) W (m/s) E/N (Td) W (m/s)
400 602(5) 900 104(6) 5050 269(6)
500 725(5) 1000 113(6)
600 830(5) 2000 180(6)
Note:a(b) means a × 10b See Figure 189 for graphical presentation
0.001 0.01 0.1 1 10 100 1000 10,000 E/N (Td)
107 10-3 10-2 10-1 100 101 102 103 104
1.E+07
1.E+06
1.E+05
1.E+04
1.E+03
1.E+02
Dr ift
ve lo
cit y(
m s-
1 )
H2
TABLE 18.13 Recommended Characteristic Energy for H2 E/N (Td) Dr/µ (V) E/N (Td) Dr/µ (V) E/N (Td) Dr/µ (V)
002 00259 0400 00524 800 0447
0025 00262 0500 00593 100 0511
003 00265 0600 00663 120 0573
0035 00268 0700 00735 140 0630
004 00271 0800 00809 170 0710
005 00278 1000 00953 200 0787
006 00285 120 0110 250 0916
007 00292 140 0125 300 105
008 00300 170 0147 350 118
0100 00315 200 0168 400 133
0120 00329 250 0201 500 172
0140 00344 300 0231 600 198
0170 00366 350 0259 700 219
0200 00387 400 0285 800 237
0250 00423 500 0330 100 267
0300 00457 600 0371 120 293
0350 00490 700 0410 140 319
170 349 420 742 1970 1054
200 382 570 971 2850 951
300 512 880 1145
Gas constants evaluated according to expression
α N
F E
= −
exp
GN
(181)
are F = 144 × 10−20 m2 and G = 3914 Td
Most recent measurements of dissociative attachment
cross sections in H2 and D2 have revealed three peaks, due to processes in 4eV, 7-13eV and 14eV energies The cross sections are two orders of magnitude lower when compared with dissociative attachment cross sections in O2 (Krishnakumar et al, 2011)
Recommended CEnergy for H2 E/N (Td) Dr/µ (V) E/N (Td) Dr/µ (V) E/N (Td) Dr/µ (V)
360 629 1450 1122
Note: See Figure 1810 for graphical presentation
×0.1
TABLE 18.14 Recommended Reduced Ionization Coefficient
E/N (Td) α/N
(10−20 m2) E/N (Td)
α/N (10−20 m2)
E/N (Td)
α/N (10−20 m2)
45 00002 200 0220 800 0974
50 00005 225 0275 900 1022
60 00023 250 0328 1000 107
70 00058 300 0426 1250 116
80 00119 350 0514 1500 123
90 00203 400 0594 2000 131
100 00314 450 0665 2500 135
125 00687 500 0728 2800 139
150 0115 600 0826
175 0167 700 0912
TABLE 18.15 Reduced H+ Ion Mobility and Drift Velocity for H2 E/N (Td) µ0 (10−4 m2/V s) W+ (102 m/s)
400 160 172
500 160 215
600 160 258
800 160 344
100 160 430
120 160 516
150 159 641
200 158 849
250 157 105
300 155 125
400 152 163
500 149 200
600 145 234
800 139 299
100 134 360
120 132 426
150 131 528
200 131 704
250 132 887
300 133 107
400 137 147
Source: Adapted from Ellis, H W et al, Atom. Nucl. Data Tables, 17, 177-210, 1981
