Table 7
Fit coefficients for dielectronic recombination rate coefficients; see Eq. (3).
| Target | ||||||||
| iona | level | c 1 | c 2 | c 3 | c 4 | c 5 | c 6 | c 7 |
|
|
||||||||
| Kr+ | 1 | 2.702(–8) | 3.157(–8) | 5.703(–3) | 1.973(–3) | –2.490(–4) | ... | ... |
| 2b | 3.343(–3) | 5.611(–3) | –2.453(–4) | ... | ... | ... | ... | |
| Kr2+ | 1c | 4.418(–7) | 3.859(–7) | 1.710(–6) | 1.270(–5) | 2.232(–4) | 1.101(–2) | ... |
| 2d | 1.048(–7) | 1.151(–6) | 8.132(–6) | 8.855(–3) | 7.639(–4) | ... | ... | |
| 3 | 1.519(–8) | 1.772(–8) | 1.685(–6) | 2.969(–6) | 9.849(–4) | 5.178(–3) | 5.186(–3) | |
| 4b | 2.047(–7) | 1.263(–6) | 2.406(–3) | 8.124(–3) | –5.667(–4) | ... | ... | |
| 5b | 3.108(–8) | 8.740(–7) | 6.519(–3) | 9.146(–3) | –3.857(–4) | ... | ... | |
| Kr3+ | 1 | 6.429(–8) | 1.785(–6) | 1.192(–5) | 6.023(–5) | 1.768(–3) | 3.794(–2) | ... |
| 2 | 2.953(–7) | 3.855(–6) | 5.377(–6) | 3.890(–5) | 1.201(–3) | 4.890(–3) | ... | |
| 3 | 7.020(–7) | 1.569(–6) | 8.266(–6) | 5.250(–5) | 1.946(–3) | 4.908(–3) | ... | |
| 4 | 1.810(–7) | 4.476(–6) | 6.179(–6) | 6.232(–5) | 1.195(–3) | 3.248(–3) | 3.929(–6) | |
| 5e | 3.285(–7) | 6.565(–7) | 8.665(–6) | 2.547(–5) | 8.626(–4) | 3.600(–3) | ... | |
| Kr4+ | 1 | 2.405(–5) | 3.564(–4) | 3.521(–4) | 1.882(–3) | 2.860(–2) | ... | ... |
| 2e | 2.211(–5) | 1.062(–4) | 1.637(–4) | 3.685(–4) | 5.024(–3) | 1.617(–2) | ... | |
| 3 e | 2.211(–5) | 1.062(–4) | 1.637(–4) | 5.925(–4) | 1.199(–2) | 8.986(–3) | ... | |
| 4 | 1.749(–6) | 2.143(–5) | 8.714(–5) | 5.601(–4) | 1.032(–2) | 8.649(–4) | ... | |
| 5 | 2.919(–6) | 1.430(–6) | 3.102(–5) | 4.766(–4) | 4.236(–3) | 2.057(–3) | ... | |
| Kr5+ | 1 | 2.835(–5) | 1.697(–4) | 4.897(–4) | 6.692(–3) | 5.204(–2) | ... | ... |
| 2 | 1.795(–5) | 7.020(–5) | 2.474(–4) | 2.299(–3) | 3.064(–2) | 7.897(–4) | ... | |
| Kr6+ | 1 | 4.030(–5) | 3.483(–4) | 8.082(–4) | 3.569(–3) | 5.891(–2) | 5.091(–3) | ... |
|
|
||||||||
| E 1 | E 2 | E 3 | E 4 | E 5 | E 6 | E 7 | ||
|
|
||||||||
| Kr+ | 1 | 5.892 | 4.315(3) | 1.879(5) | 3.015(5) | 6.041(5) | ... | ... |
| 2b | 1.667(5) | 2.254(5) | 4.144(5) | ... | ... | ... | ... | |
| Kr2+ | 1c | 1.291(2) | 3.833(2) | 2.981(3) | 1.509(4) | 1.020(5) | 2.551(5) | ... |
| 2d | 4.354(2) | 3.535(3) | 1.311(4) | 2.215(5) | 3.538(5) | ... | ... | |
| 3 | 4.857(2) | 7.835(2) | 3.365(3) | 1.129(4) | 1.619(5) | 2.507(5) | 2.542(5) | |
| 4b | 1.423(3) | 1.884(4) | 1.594(5) | 2.716(5) | 5.653(5) | ... | ... | |
| 5b | 1.845(4) | 2.760(4) | 1.645(5) | 2.651(5) | 5.436(5) | ... | ... | |
| Kr3+ | 1 | 8.804(2) | 2.124(3) | 7.055(3) | 2.811(4) | 1.382(5) | 2.841(5) | ... |
| 2 | 5.889(2) | 1.695(3) | 5.920(3) | 2.667(4) | 1.303(5) | 2.500(5) | ... | |
| 3 | 1.086(2) | 1.203(3) | 5.564(3) | 2.896(4) | 1.508(5) | 2.616(5) | ... | |
| 4 | 5.004(2) | 2.294(3) | 6.472(3) | 3.118(4) | 1.102(5) | 2.250(5) | 2.075(6) | |
| 5e | 1.086(3) | 2.987(3) | 7.146(3) | 2.359(4) | 9.189(4) | 2.156(5) | ... | |
| Kr4+ | 1 | 6.805(2) | 2.709(3) | 8.633(3) | 1.065(5) | 2.845(5) | ... | ... |
| 2e | 6.057(2) | 1.977(3) | 1.026(4) | 4.609(4) | 1.721(5) | 2.851(5) | ... | |
| 3e | 6.057(2) | 1.977(3) | 1.026(4) | 5.322(4) | 2.198(5) | 3.150(5) | ... | |
| 4 | 1.640(2) | 1.977(3) | 1.059(4) | 5.558(4) | 2.119(5) | 4.788(5) | ... | |
| 5 | 2.779(2) | 1.215(3) | 1.378(4) | 5.925(4) | 1.594(5) | 2.687(5) | ... | |
| Kr5+ | 1 | 5.883(2) | 3.809(3) | 1.701(4) | 1.317(5) | 2.923(5) | ... | ... |
| 2 | 4.553(2) | 3.363(3) | 1.595(4) | 7.402(4) | 2.467(5) | 6.872(5) | ... | |
| Kr6+ | 1 | 7.036(3) | 1.119(4) | 2.735(4) | 1.026(5) | 2.276(5) | 3.660(5) | ... |
Notes. Coefficients ci are in cm3 s-1 K3/2, and Ei are in K. The fits are accurate to within 5% over the temperature range (101−107)z2 K, unless otherwise noted. The notation x(y) denotes xy.
The least-squares fitting algorithm was not able to accurately fit the DR rate coefficient at all temperatures for level 2 of the Kr+ target, and levels 4 and 5 of Kr2+. We chose fits that minimize fit errors near photoionized plasma temperatures. For Kr+, the fit is accurate to within 9% at 20 000 K, and is not valid for temperatures below 10 000 K (where the rate coefficient is vanishingly small). For Kr2+, the fits are accurate to within 20% (level 4) and 11% (level 5) at T = 40 000 K. The fit for level 5 is not valid below 4000 K, where the rate coefficient is extremely small. The fits are accurate to within 2% at all other temperatures.
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