ABSTRACT

Qi 12-100 Stevie and Vasile (1981) Qel 5-40 Fliplet et al (1980)

ka — Nygaard et al (1978)

Qa, Qv 0-5 Hall (1978)

ka 09-40 Schneider and Brau (1978)

ka 09-4 Chen et al (1977)

Qel 0-5 Schneider and Hay (1976a)

Qel 0-5 Schneider and Hay (1976b)

ka 0-01 Sides et al. (1976) Qex 0-136 Rescigno et al (1976)

Qdiss 0-32 Decorpo et al. (1970)

Note:Bold font indicates experimental study ka = Attachment rate; Qa = dissociative attachment cross section; Qel = elastic; Qex = excitation; QV = vibrational excitation; α/N = reduced ionization coefficient; η/N = reduced attachment coefficient

Table 173 and Figure 171 show the momentum transfer cross sections

Theoretically derived elastic scattering cross sections (Rescigno et al, 1976) are shown in Figure 171

Vibrational excitation threshold is 110 meV (Hiyashi and Nimura, 1983)Theoretically derived total vibrational excitation cross sections are shown in Table 174

Dissociation of F2 molecule occurs according to the following reactions:

F2 + e → F + F− (171)

F2 + e → F− + F+ + e (172)

F2 + e → F+ + F + 2e (173)

Reaction 171 is dissociative attachment with appearance potential of 00 eV, Reaction 172 is attachment by ion pair

TABLE 17.4 Vibrational Excitation Cross Sections

Energy (eV) Qv (10−20 m2)

01 0010

02 0652

04 2410

06 2164

08 1344

1 0859

2 0151

3 0051

4 0034

6 0015

Source:Adapted from Hayashi, Mand TNimura, J. Appl. Phys, 54, 4879, 1983

Transfer Cross Sections for F2 Energy (eV) QM (10−20 m2) Energy (eV) QM (10−20 m2)

001 1031 10 1007

002 1026 15 850

004 1020 20 718

006 1020 25 614

008 1022 30 532

010 1026 35 465

020 1042 40 412

040 1081 45 370

060 1192 50 336

080 1387 60 287

1 1648 80 228

2 2733 100 181

3 1772 150 104

4 1543 200 072

6 1243 300 066

8 1085 400 006

Source:Digitized from Hayashi, Mand TNimura, J. Appl. Phys, 54, 4879, 1983

Total Cross Sections for F2 Energy (eV)

QT (10−20 m2)

Energy (eV)

QT (10−20 m2)

Energy (eV)

QT (10−20 m2)

00001 8000 3 2057 60 514

001 5471 4 1556 80 467

002 3496 6 1278 100 424

004 1840 8 1255 150 323

006 1840 10 1040 200 266

008 1702 15 956 300 233

01 1677 20 798 400 165

02 1693 25 770 500 119

04 1411 30 694 600 104

06 1913 35 640 800 089

08 1669 40 603 1000 071

1 1815 45 571

2 2821 50 547

0.01 0.1 1 10 Energy (eV)

100 1000

0.1

0.01

Q (1

m 2 )

Total Elastic Momentum transfer

Qel

QT

Qm

F2

production with appearance potential of 158 eV, and Reaction 173 is dissociative ionization with appearance potential of 192 eV (DeCorpo et al, 1970)

DeCorpo et al(1970) have measured the relative intensity for the dissociation cross section, and the cross sections normalized to 10 × 10−21 m2 at 10 eV energy are shown in Table 175 and Figure 172

Ionization cross sections have been measured by Stevie and Vasile (1981) in the energy range 17-102 eV as shown in Table 176 and Figure 173The cross sections derived by Hayashi and Nimura (1983) for higher energy range are also shown in the same figure

Attachment processes are shown by Reactions 171 and 172 Attachment cross sections measured by Chantry et al(1982) are shown in Table 177 and Figures 174 and 175

Cross Sections Measured by Stevie and Vasile (1981)

Energy (eV) Qi (10−20 m2) Energy (eV) Qi (10−20 m2)

17 002 38 064 18 004 41 069 19 008 43 074 20 010 45 079 21 014 47 082 22 015 49 084 23 020 53 091 26 028 58 100 28 035 64 105 30 043 69 110 32 049 80 117 34 056 91 121 36 059 102 125

Dissociation Cross SD et al. (1970) Normalized at 1.0eV

Energy (eV)

Qdiss (10−22 m2)

Energy (eV)

Qdiss (10−22 m2)

02 1749 6 0611

04 3501 8 0352

06 3980 10 0077

08 6472 15 0279

1 1000 20 1689

2 3546 25 5200

3 1186 30 8814

4 0591

0.1

0 1 10 100

Energy (eV)

(1 0-

2 )

Dissociation F2 + e → F-+ F

10 100 Energy (eV)

1.5

0.5

Q i (1

m 2 )

F2 Stevie (1981) Hayashi (1983)

TABLE 17.7 Attachment Cross Sections for F2 Energy (eV) Qi (10−20 m2) Energy (eV) Qi (10−20 m2)

100E-04 80 04 265

001 444 045 225

002 247 05 192

003 137 06 134

004 82 07 094

005 74 08 0655

007 71 09 0455

01 65 1 032

015 545 12 0153

02 48 14 0075

025 425 16 0037

03 365 18 0022

035 31 2 0014

Source:Adapted from Chantry, PJin HSWMassey, EWMcDaniel, and BBederson (Eds), Applied Collision Physics Vol. 3: Gas Lasers, Academic, New York, NY, 1982, p 35

Density-reduced ionization coefficients (α/N) theoretically derived by Hayashi and Nimura (1983) are shown in Table 178 and Figure 176 Figure 177 shows the details at lower E/N

Ionization Coefficients (α/N), Attachment Coefficients (η/N), and Effective Ionization Coefficients (α-η)/N E/N (Td) α/N (10−20 m2) η/N (10−20 m2) (α-η)/N (10−20 m2)

100 0020 0522 − 0502 125 0039 0421 − 0382 150 0081 0331 − 0251 175 0126 0263 − 0138 200 0181 0224 − 0043 225 0225 0195 0029

250 0275 0165 0110

275 0346 0139 0208

300 0411 0124 0287

325 0462 0114 0348

350 0508 0103 0405

375 0557 0091 0467

400 0617 0081 0536

425 0682 0074 0609

450 0748 0068 0679

475 0805 0064 0742

500 0852 0059 0793

550 0920 0050 0871

600 0975 0042 0934

650 1035 0035 1000

700 1103 0031 1072

750 1174 0028 1146

800 1247 0026 1221

850 1318 0023 1295

900 1387 0020 1367

950 1453 0018 1435

1000 1517 0017 1500

1250 1785 0011 1774

1500 1970 1970

1750 2101 2101

2000 2230 2230

2250 2409 2409

Source:Adapted from Hayashi, Mand TNimura, J. Appl. Phys, 54, 4879, 1983

10-4 10-3 10-2 10-1 100 101 102

1.0

0.1

Q i ,Q

a( 10

2 )

Energy (eV)

Attachement Ionization

F2

10-4 10-3 10-2 10-1 100 101 102 103 Energy (eV)

10-1

10-2

Q (1

m 2 )

1 F2

2 7

3 4

6 5

Low-energy attachment coefficients determined by Nygaard et  al(1978) using the current pulse method are shown in Table 179Density-reduced attachment coefficients (η/N) theoretically derived by Hayashi and Nimura (1983) are shown in Table 178 and Figure 176Figure 177 shows the details at lower E/N

2 The essential feature is that the rate decreases with increasing energy in the range 004-30 eV (McCorkle et al, 1983)

TABLE 17.9 Attachment Coefficients at Low E/N for F2 E/N (Td) η/N (10−20 m2) E/N (Td) η/N (10−20 m2) 30 629 90 216 40 564 100 228 45 509 120 192 50 456 130 166 55 428 140 164 60 392 150 185 70 260 160 190 80 286

Source:Adapted from Nygaard, K J et al, Appl. Phys. Lett, 32, 351, 1978 102 103 10455

E/N (Td)

2.0

1.5

1.0

α/ N,

η /N

,( α-

η) /N

(1 0-

2 )

0.5

Fluorine (F2)

η/N

(α-η)/N

α/N

200 300 400 500100

0.6

0.4

0.2

0.8

Fluorine (F2)

E/N (Td)

α/N

η/N

(α-η)/N

α/ N,

η /N

,( α-

η) /N

(1 0-

2 )

0.01

1.5

0.5

0 0.1 1 10

Energy (eV)

K a (1

m 3 /

s)

Nitrogen buffer Argon bufferF2

TABLE 17.10 Attachment Rates for F2 Temperature (K); Energy (eV)

Attachment Rate (m3/s) Method Reference

233 12 × 10−14 Swarm McCorkle et al (1986)

298 17 × 10−14 373 19 × 10−14 (1) 70 × 10−15 Beam Schneider and Brau

(1978) (5) 75 × 10−16 Current pulse Nygaard et al (1978) (1) 29 × 10−15 Beam Chen et al (1977) 350 31 × 10−15 FA Sides et al (1976) 600 46 × 10−15

Note: Unless otherwise mentioned the temperature (energy) is thermal FA = flowing afterglow