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Table 5

Fit coefficients for radiative recombination rate coefficients at low temperature (see Eqs. (1) and (2)).

Target A B T 0 T 1 C T 2 T max
iona level (cm3 s-1) (K) (K) (K) (K)

Kr+ 1b 1.325(–9) 0.7589 2.544(–2) 1.404(6) 0.3345 2.594(6) ...
2c 4.239(–11) 0.5384 2.527 4.406(143) 0.2391 6.021(1) 1.0(3)
Kr2+ 1 6.988(–11) 0.7335 5.226(1) 5.218(5) 0.7838 2.467(6) 2.0(5)
2 1.561(–11) 1.1179 1.574(2) 1.959(5) 1.0651 2.382(6) 8.0(4)
3 1.148(–11) 1.1463 2.707(2) 1.892(5) 1.1620 2.364(6) 8.0(4)
4 5.245(–12) 1.2541 9.039(2) 1.791(5) 1.4433 2.345(6) 8.0(4)
5 3.382(–11) 1.0954 1.502(1) 2.904(5) 0.7487 2.433(6) 8.0(4)
Kr3+ 1 9.239(–11) 0.5956 1.311(2) 9.717(5) 0.8172 2.519(6) 9.0(4)
2 3.295(–11) 1.0865 3.924(1) 3.750(5) 0.8407 2.350(6) 9.0(4)
3 3.261(–11) 1.0860 3.881(1) 3.756(5) 0.8409 2.356(6) 9.0(4)
4 3.501(–11) 1.0727 2.409(1) 4.613(5) 0.7792 2.314(6) 9.0(4)
5 8.822(–11) 1.0328 4.088 6.267(5) 0.6287 2.527(6) 9.0(4)
Kr4+ 1 2.270(–11) 0.0035 4.273(3) 9.944(7) 0.7085 1.294(6) ...
2d 4.956(–11) 0.8138 2.308(2) 8.365(5) 0.8931 2.473(6) 8.0(4)
3d 4.893(–11) 0.8718 1.507(2) 8.743(5) 0.8371 2.459(6) 8.0(4)
4d 3.185(–11) 0.8859 1.474(2) 1.756(6) 0.7258 2.327(6) 8.0(4)
5d 6.490(–13) 0.0000 1.344(5) 1.892(7) 1.6771 9.587(5) ...
Kr5+ 1 4.740(–11) 0.1253 2.425(3) 1.173(8) 0.5711 1.247(6) ...
2b 3.434(–12) 0.0000 5.369(4) 5.256(7) 1.0250 1.084(6) ...
Kr6+ 1 1.132(–10) 0.2910 1.024(3) 1.111(8) 0.4065 1.320(6) ...

Notes. Tmax represents the maximum temperature for which these fits are valid to within the stated accuracies (5%, unless noted). For recombination at temperatures exceeding Tmax, the fits from Eq. (3) and coefficients listed in Table 6 should be used. If no Tmax is given, then the fits from Eqs. (1) and (2) are accurate over the entire temperature range (101−107)z2 K. The notation x(y) denotes x  ×  10y.

(a)

Note that the ion and level numbers correspond to the target ion (i.e., before recombination).

(b)

The fit is accurate to within 6%.

(c)

The fit to the Kr+ level 2 RR rate coefficient is inaccurate at the lowest temperatures (by 6% at 20 K and 17% at 10 K), and should not be extrapolated to temperatures below 20 K.

(d)

For excited states of the Kr4+ target, the fits are accurate to within 8% (level 2), 8.5% (level 3), 9% (level 4), and 9.5% (level 5).

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