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Table 7:

Thermally averaged collision strengths.

i
j log10 (T[K])
    5.6 5.8 6.0 6.2 6.4 6.6 6.8 7.0

1
2    5.324(-1) $^{\dagger }$ 4.174(-1) 3.097(-1) 2.210(-1) 1.535(-1) 1.048(-1) 7.066(-2) 4.716(-2)
1 3 4.922(-1) 4.018(-1) 3.187(-1) 2.515(-1) 2.015(-1) 1.663(-1) 1.426(-1) 1.270(-1)
1 4 1.977(-1) 1.521(-1) 1.111(-1) 7.827(-2) 5.389(-2) 3.658(-2) 2.462(-2) 1.649(-2)
1 5 6.475(-2) 4.953(-2) 3.568(-2) 2.464(-2) 1.653(-2) 1.088(-2) 7.071(-3) 4.559(-3)
1 6 4.916(-2) 3.796(-2) 2.850(-2) 2.104(-2) 1.534(-2) 1.107(-2) 7.889(-3) 5.543(-3)
1 7 3.843(-1) 3.725(-1) 3.684(-1) 3.735(-1) 3.879(-1) 4.112(-1) 4.420(-1) 4.790(-1)
1 8 8.158(-2) 6.283(-2) 4.692(-2) 3.433(-2) 2.477(-2) 1.767(-2) 1.246(-2) 8.675(-3)
1 9 5.929(-2) 4.316(-2) 3.039(-2) 2.102(-2) 1.450(-2) 1.013(-2) 7.302(-3) 5.519(-3)
1 10 7.236(-3) 5.304(-3) 3.811(-3) 2.710(-3) 1.915(-3) 1.346(-3) 9.388(-4) 6.482(-4)
1 11 2.424(-1) 2.307(-1) 2.257(-1) 2.276(-1) 2.362(-1) 2.507(-1) 2.704(-1) 2.942(-1)
1 12 4.549(-2) 3.327(-2) 2.370(-2) 1.663(-2) 1.156(-2) 7.992(-3) 5.486(-3) 3.736(-3)
1 13 4.196(-2) 3.104(-2) 2.275(-2) 1.660(-2) 1.207(-2) 8.716(-3) 6.223(-3) 4.380(-3)
1 14 4.953(-1) 5.016(-1) 5.165(-1) 5.413(-1) 5.769(-1) 6.235(-1) 6.805(-1) 7.467(-1)
1 15 5.383(-2) 4.107(-2) 3.064(-2) 2.250(-2) 1.633(-2) 1.172(-2) 8.300(-3) 5.795(-3)
1 16 5.789(-2) 5.466(-2) 5.317(-2) 5.336(-2) 5.513(-2) 5.837(-2) 6.288(-2) 6.849(-2)
1 17 4.640(-2) 3.801(-2) 3.167(-2) 2.726(-2) 2.451(-2) 2.309(-2) 2.271(-2) 2.308(-2)
1 18 1.246(-2) 9.446(-3) 7.070(-3) 5.248(-3) 3.864(-3) 2.816(-3) 2.024(-3) 1.431(-3)
1 19 1.854(-2) 1.548(-2) 1.271(-2) 1.024(-2) 8.083(-3) 6.222(-3) 4.667(-3) 3.411(-3)
1 20 1.538(0) 1.588(0) 1.661(0) 1.761(0) 1.893(0) 2.061(0) 2.263(0) 2.498(0)
1 21 8.667(-3) 7.076(-3) 5.605(-3) 4.343(-3) 3.301(-3) 2.461(-3) 1.797(-3) 1.284(-3)
1 22 1.344(-3) 1.101(-3) 8.797(-4) 6.890(-4) 5.290(-4) 3.973(-4) 2.914(-4) 2.086(-4)
1 23 3.630(-1) 3.722(-1) 3.864(-1) 4.073(-1) 4.359(-1) 4.729(-1) 5.180(-1) 5.705(-1)
1 24 1.681(-2) 1.485(-2) 1.299(-2) 1.143(-2) 1.020(-2) 9.302(-3) 8.690(-3) 8.316(-3)
1 25 1.170(-2) 9.508(-3) 7.551(-3) 5.897(-3) 4.534(-3) 3.428(-3) 2.543(-3) 1.850(-3)
1 26 8.860(-3) 7.764(-3) 6.631(-3) 5.527(-3) 4.491(-3) 3.555(-3) 2.743(-3) 2.067(-3)
1 27 1.068(-2) 1.032(-2) 1.008(-2) 1.004(-2) 1.023(-2) 1.065(-2) 1.129(-2) 1.211(-2)
2 3 2.072(0) 1.655(0) 1.265(0) 9.448(-1) 7.037(-1) 5.322(-1) 4.145(-1) 3.355(-1)
2 4 1.342(0) 1.046(0) 7.715(-1) 5.466(-1) 3.777(-1) 2.576(-1) 1.751(-1) 1.196(-1)
2 5 1.374(-1) 1.056(-1) 7.657(-2) 5.332(-2) 3.611(-2) 2.401(-2) 1.576(-2) 1.025(-2)
2 6 1.518(-1) 1.170(-1) 8.834(-2) 6.630(-2) 4.997(-2) 3.815(-2) 2.976(-2) 2.390(-2)
2 7 2.513(-1) 2.151(-1) 1.875(-1) 1.688(-1) 1.580(-1) 1.538(-1) 1.547(-1) 1.594(-1)
2 8 9.035(-1) 8.574(-1) 8.316(-1) 8.299(-1) 8.523(-1) 8.965(-1) 9.593(-1) 1.037(0)
2 9 2.406(-1) 1.781(-1) 1.279(-1) 9.011(-2) 6.301(-2) 4.408(-2) 3.110(-2) 2.231(-2)
2 10 2.765(-1) 2.696(-1) 2.686(-1) 2.743(-1) 2.867(-1) 3.053(-1) 3.293(-1) 3.579(-1)
2 11 4.048(-1) 3.856(-1) 3.765(-1) 3.785(-1) 3.911(-1) 4.133(-1) 4.439(-1) 4.814(-1)
2 12 3.026(-1) 2.551(-1) 2.207(-1) 1.989(-1) 1.883(-1) 1.865(-1) 1.918(-1) 2.022(-1)
2 13 1.585(-1) 1.217(-1) 9.351(-2) 7.273(-2) 5.776(-2) 4.717(-2) 3.983(-2) 3.493(-2)
2 14 1.317(0) 1.337(0) 1.380(0) 1.448(0) 1.544(0) 1.670(0) 1.824(0) 2.003(0)
2 15 1.296(-1) 1.038(-1) 8.387(-2) 6.954(-2) 6.009(-2) 5.458(-2) 5.208(-2) 5.178(-2)
2 16 3.304(-1) 3.265(-1) 3.296(-1) 3.403(-1) 3.588(-1) 3.847(-1) 4.176(-1) 4.567(-1)
2 17 1.136(-1) 8.823(-2) 6.698(-2) 5.021(-2) 3.742(-2) 2.785(-2) 2.079(-2) 1.564(-2)
2 18 9.280(-2) 7.480(-2) 6.082(-2) 5.059(-2) 4.353(-2) 3.903(-2) 3.651(-2) 3.548(-2)
2 19 1.176(0) 1.201(0) 1.245(0) 1.312(0) 1.404(0) 1.525(0) 1.673(0) 1.848(0)
2 20 3.979(-2) 3.188(-2) 2.506(-2) 1.943(-2) 1.491(-2) 1.134(-2) 8.578(-3) 6.496(-3)
2 21 1.170(0) 1.202(0) 1.251(0) 1.322(0) 1.417(0) 1.540(0) 1.689(0) 1.863(0)
2 22 5.678(-1) 5.841(-1) 6.086(-1) 6.435(-1) 6.904(-1) 7.501(-1) 8.224(-1) 9.062(-1)
2 23 1.432(0) 1.476(0) 1.540(0) 1.629(0) 1.749(0) 1.900(0) 2.084(0) 2.298(0)
2 24 6.307(-2) 5.449(-2) 4.639(-2) 3.939(-2) 3.365(-2) 2.914(-2) 2.573(-2) 2.328(-2)
2 25 1.525(0) 1.568(0) 1.631(0) 1.722(0) 1.845(0) 2.003(0) 2.196(0) 2.421(0)

2

26 2.916(-2) 2.559(-2) 2.186(-2) 1.820(-2) 1.473(-2) 1.157(-2) 8.835(-3) 6.596(-3)
2 27 1.467(-2) 1.306(-2) 1.152(-2) 1.017(-2) 9.067(-3) 8.239(-3) 7.685(-3) 7.386(-3)
3 4 1.730(0) 1.373(0) 1.040(0) 7.658(-1) 5.582(-1) 4.091(-1) 3.057(-1) 2.355(-1)
3 5 1.403(-1) 1.111(-1) 8.433(-2) 6.275(-2) 4.668(-2) 3.530(-2) 2.753(-2) 2.235(-2)
3 6 2.742(-1) 2.101(-1) 1.574(-1) 1.172(-1) 8.769(-2) 6.677(-2) 5.229(-2) 4.251(-2)
3 7 1.733(-1) 1.256(-1) 8.864(-2) 6.187(-2) 4.343(-2) 3.122(-2) 2.343(-2) 1.865(-2)
3 8 3.235(-1) 2.474(-1) 1.870(-1) 1.424(-1) 1.113(-1) 9.053(-2) 7.726(-2) 6.930(-2)
3 9 1.388(0) 1.284(0) 1.214(0) 1.184(0) 1.192(0) 1.235(0) 1.305(0) 1.399(0)
3 10 4.489(-2) 3.279(-2) 2.335(-2) 1.636(-2) 1.135(-2) 7.813(-3) 5.343(-3) 3.625(-3)
3 11 3.332(-1) 2.965(-1) 2.706(-1) 2.560(-1) 2.516(-1) 2.557(-1) 2.666(-1) 2.826(-1)
3 12 1.261(0) 1.214(0) 1.197(0) 1.212(0) 1.259(0) 1.335(0) 1.437(0) 1.559(0)
3 13 2.353(-1) 1.853(-1) 1.460(-1) 1.164(-1) 9.463(-2) 7.882(-2) 6.763(-2) 5.996(-2)
3 14 2.668(0) 2.720(0) 2.816(0) 2.963(0) 3.166(0) 3.429(0) 3.751(0) 4.123(0)
3 15 1.146(-1) 9.239(-2) 7.521(-2) 6.251(-2) 5.354(-2) 4.756(-2) 4.396(-2) 4.223(-2)
3 16 1.634(-1) 1.411(-1) 1.249(-1) 1.145(-1) 1.090(-1) 1.078(-1) 1.100(-1) 1.151(-1)
3 17 2.010(-1) 1.687(-1) 1.430(-1) 1.244(-1) 1.123(-1) 1.058(-1) 1.039(-1) 1.057(-1)
3 18 2.309(-1) 1.849(-1) 1.463(-1) 1.165(-1) 9.478(-2) 7.975(-2) 6.996(-2) 6.411(-2)
3 19 1.338(0) 1.360(0) 1.404(0) 1.474(0) 1.574(0) 1.704(0) 1.866(0) 2.056(0)
3 20 3.790(-1) 3.805(-1) 3.884(-1) 4.039(-1) 4.279(-1) 4.606(-1) 5.018(-1) 5.506(-1)
3 21 8.007(-2) 6.345(-2) 4.900(-2) 3.715(-2) 2.775(-2) 2.047(-2) 1.498(-2) 1.104(-2)
3 22 1.093(-2) 8.817(-3) 6.935(-3) 5.354(-3) 4.069(-3) 3.045(-3) 2.243(-3) 1.627(-3)
3 23 4.732(-1) 4.815(-1) 4.962(-1) 5.194(-1) 5.525(-1) 5.963(-1) 6.507(-1) 7.149(-1)
3 24 5.585(0) 5.750(0) 5.993(0) 6.336(0) 6.797(0) 7.387(0) 8.107(0) 8.947(0)
3 25 2.091(0) 2.149(0) 2.236(0) 2.360(0) 2.527(0) 2.742(0) 3.005(0) 3.312(0)
3 26 2.387(-1) 2.343(-1) 2.326(-1) 2.350(-1) 2.421(-1) 2.542(-1) 2.713(-1) 2.933(-1)
3 27 2.316(-2) 1.975(-2) 1.647(-2) 1.352(-2) 1.099(-2) 8.882(-3) 7.189(-3) 5.866(-3)
4 5 6.635(-1) 5.830(-1) 5.118(-1) 4.564(-1) 4.169(-1) 3.910(-1) 3.751(-1) 3.661(-1)
4 6 9.740(-2) 7.071(-2) 4.937(-2) 3.359(-2) 2.251(-2) 1.500(-2) 1.001(-2) 6.742(-3)
4 7 1.633(-1) 1.251(-1) 9.510(-2) 7.272(-2) 5.658(-2) 4.529(-2) 3.767(-2) 3.278(-2)
4 8 2.773(-1) 2.090(-1) 1.548(-1) 1.141(-1) 8.446(-2) 6.318(-2) 4.807(-2) 3.741(-2)
4 9 5.203(-1) 4.096(-1) 3.220(-1) 2.577(-1) 2.136(-1) 1.855(-1) 1.695(-1) 1.624(-1)
4 10 3.670(-2) 2.626(-2) 1.828(-2) 1.249(-2) 8.429(-3) 5.643(-3) 3.752(-3) 2.480(-3)
4 11 1.252(-1) 9.444(-2) 7.080(-2) 5.376(-2) 4.207(-2) 3.441(-2) 2.967(-2) 2.702(-2)
4 12 3.157(-1) 2.289(-1) 1.624(-1) 1.140(-1) 7.988(-2) 5.635(-2) 4.036(-2) 2.961(-2)
4 13 2.077(0) 2.012(0) 1.993(0) 2.027(0) 2.112(0) 2.244(0) 2.419(0) 2.629(0)
4 14 1.928(-1) 1.568(-1) 1.308(-1) 1.140(-1) 1.048(-1) 1.018(-1) 1.034(-1) 1.083(-1)
4 15 1.682(-1) 1.415(-1) 1.207(-1) 1.054(-1) 9.511(-2) 8.892(-2) 8.620(-2) 8.631(-2)
4 16 2.543(0) 2.590(0) 2.678(0) 2.815(0) 3.007(0) 3.254(0) 3.556(0) 3.904(0)
4 17 1.808(-1) 1.426(-1) 1.110(-1) 8.581(-2) 6.606(-2) 5.074(-2) 3.900(-2) 3.012(-2)
4 18 2.174(-1) 1.745(-1) 1.383(-1) 1.084(-1) 8.408(-2) 6.431(-2) 4.843(-2) 3.593(-2)
4 19 1.570(0) 1.585(0) 1.628(0) 1.702(0) 1.812(0) 1.957(0) 2.138(0) 2.350(0)
4 20 7.925(-2) 7.132(-2) 6.530(-2) 6.133(-2) 5.935(-2) 5.923(-2) 6.077(-2) 6.377(-2)
4 21 3.166(0) 3.234(0) 3.352(0) 3.529(0) 3.774(0) 4.091(0) 4.478(0) 4.929(0)
4 22 1.383(-2) 1.150(-2) 9.393(-3) 7.534(-3) 5.923(-3) 4.548(-3) 3.401(-3) 2.476(-3)
4 23 9.660(-2) 8.884(-2) 8.339(-2) 8.034(-2) 7.965(-2) 8.122(-2) 8.489(-2) 9.043(-2)
4 24 2.966(-1) 2.841(-1) 2.778(-1) 2.780(-1) 2.848(-1) 2.984(-1) 3.187(-1) 3.450(-1)
4 25 4.631(-1) 4.607(-1) 4.659(-1) 4.801(-1) 5.044(-1) 5.396(-1) 5.855(-1) 6.413(-1)
4 26 5.240(0) 5.377(0) 5.588(0) 5.896(0) 6.316(0) 6.861(0) 7.531(0) 8.314(0)
4 27 7.081(-2) 6.353(-2) 5.702(-2) 5.205(-2) 4.882(-2) 4.720(-2) 4.688(-2) 4.750(-2)
5 6 1.464(-2) 1.059(-2) 7.334(-3) 4.922(-3) 3.234(-3) 2.095(-3) 1.344(-3) 8.576(-4)
5 7 2.641(-2) 1.946(-2) 1.412(-2) 1.030(-2) 7.714(-3) 6.049(-3) 5.038(-3) 4.473(-3)
5 8 3.787(-2) 2.684(-2) 1.842(-2) 1.235(-2) 8.144(-3) 5.312(-3) 3.438(-3) 2.213(-3)
5 9 5.249(-2) 3.688(-2) 2.511(-2) 1.672(-2) 1.097(-2) 7.129(-3) 4.606(-3) 2.970(-3)
5 10 1.419(-2) 1.162(-2) 9.376(-3) 7.480(-3) 5.885(-3) 4.542(-3) 3.424(-3) 2.517(-3)
5 11 5.438(-2) 4.568(-2) 3.833(-2) 3.249(-2) 2.803(-2) 2.478(-2) 2.257(-2) 2.123(-2)
5 12 6.549(-2) 5.113(-2) 3.954(-2) 3.039(-2) 2.318(-2) 1.745(-2) 1.291(-2) 9.349(-3)
5 13 1.101(-1) 7.947(-2) 5.568(-2) 3.820(-2) 2.586(-2) 1.736(-2) 1.158(-2) 7.696(-3)
5 14 1.020(-1) 9.237(-2) 8.619(-2) 8.345(-2) 8.387(-2) 8.702(-2) 9.242(-2) 9.960(-2)
5 15 2.378(-2) 1.839(-2) 1.385(-2) 1.025(-2) 7.478(-3) 5.387(-3) 3.827(-3) 2.677(-3)
5 16 6.586(-1) 6.525(-1) 6.601(-1) 6.825(-1) 7.200(-1) 7.722(-1) 8.378(-1) 9.148(-1)
5 17 3.358(-2) 2.665(-2) 2.058(-2) 1.562(-2) 1.171(-2) 8.674(-3) 6.353(-3) 4.600(-3)
5 18 3.335(-2) 2.756(-2) 2.242(-2) 1.797(-2) 1.414(-2) 1.088(-2) 8.157(-3) 5.955(-3)
5 19 4.243(-2) 3.179(-2) 2.317(-2) 1.659(-2) 1.176(-2) 8.298(-3) 5.833(-3) 4.086(-3)
5 20 2.862(-2) 2.274(-2) 1.782(-2) 1.404(-2) 1.130(-2) 9.444(-3) 8.291(-3) 7.675(-3)
5 21 5.248(-2) 3.906(-2) 2.835(-2) 2.026(-2) 1.436(-2) 1.015(-2) 7.169(-3) 5.059(-3)
5 22 5.403(-3) 4.357(-3) 3.463(-3) 2.715(-3) 2.095(-3) 1.585(-3) 1.172(-3) 8.462(-4)
5 23 2.403(-2) 1.803(-2) 1.340(-2) 9.951(-3) 7.459(-3) 5.699(-3) 4.486(-3) 3.675(-3)
5 24 1.556(-2) 1.180(-2) 8.799(-3) 6.461(-3) 4.672(-3) 3.322(-3) 2.320(-3) 1.594(-3)
5 25 2.464(-2) 1.867(-2) 1.382(-2) 1.005(-2) 7.207(-3) 5.101(-3) 3.560(-3) 2.449(-3)
5 26 4.375(-2) 3.737(-2) 3.258(-2) 2.933(-2) 2.743(-2) 2.661(-2) 2.663(-2) 2.721(-2)
5 27 2.179(0) 2.247(0) 2.347(0) 2.485(0) 2.670(0) 2.905(0) 3.190(0) 3.521(0)

Notes. The indices (ji) correspond to the levels as shown in Table 5. $^{(\dagger)}$ In this table, 5.324(-1) denotes 5.324 $\times $ 10-1.


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