HII Case A Recombination Cooling Coefficients

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Beta A HII.png

Recombination cooling coefficients for HII -> HI, Case A.

Contents

Seaton59

Seaton, MNRAS 119, 81 (1959)

\beta_{\mathrm{A HII}} = 2.851\times 10^{-40} T^{1/2} (5.914 - \ln T/2 + 0.01184 T^{1/3}) \mathrm{J} \mathrm{m}^3 \mathrm{s}^{-1}

Sherman79

Sherman 1979 ApJ 232, 1

Uses the simple approximation: β = kTα

\beta_{\mathrm{A HII}} = 1.44\times 10^{-40} T^{1/2} (13.7 - \ln T + 1.04\times 10^{-6} T) \mathrm{J} \mathrm{m}^3 \mathrm{s}^{-1}

T < 3.2\times 10^5 \mathrm{K}

Cen92

Cen 1992 ApJS 78, 341

\beta_{\mathrm{A HII}} = 8.70\times 10^{-40} T^{1/2} \left( \frac{T}{10^3\mathrm{K}} \right)^{-0.2} \left( 1 + \left(\frac{T}{10^6\mathrm{K}}\right) \right)^{-1} \mathrm{J} \mathrm{m}^3 \mathrm{s}^{-1}

T < 106K

HG97

Hui & Gnedin 1997 MNRAS 292, 27

\beta_{\mathrm{A HII}} = 1.137\times 10^{-31} T^{-0.965} (1 + 784.4 T^{-0.502})^{-2.697} \mathrm{J} \mathrm{m}^3 \mathrm{s}^{-1}

Osterbrock89

T (kT)-1βA HII [10^{-19} m3 s-1]
2500 8.93
5000 5.42
10000 3.23
20000 1.88

Ferland92

log(T) β1 [10^{-27} J m3 s-1] βB [10^{-28} J m3 s-1]
0.5 4.025 229.5
1.0 7.158 359.5
1.5 12.73 551.4
2.0 22.62 823.6
2.5 40.15 1187
3.0 70.99 1629
3.5 124.1 2082
4.0 209.4 2395
4.5 323.4 2376
5.0 417.3 1981
5.5 414.9 1390
6.0 312.1 831.6
6.5 184.3 430.7
7.0 90.16 196.7
7.5 38.47 81.09
8.0 14.90 30.92
8.5 5.397 11.15
9.0 1.867 3.872
9.5 .6261 1.316
10 .2057 .4436

βA HII = β1 + βB

Hummer94

Hummer 1994 MNRAS 268, 109

log(T) β1 [10-17 J m3 s-1] βB [10-17 J m3 s-1]
1.0 1.646 8.287
1.2 1.646 7.821
1.4 1.646 7.356
1.6 1.646 6.892
1.8 1.646 6.430
2.0 1.645 5.971
2.2 1.644 5.515
2.4 1.643 5.062
2.6 1.641 4.614
2.8 1.638 4.170
3.0 1.633 3.734
3.2 1.625 3.306
3.4 1.613 2.888
3.6 1.594 2.484
3.8 1.565 2.098
4.0 1.522 1.736
4.2 1.460 1.402
4.4 1.374 1.103
4.6 1.260 0.8442
4.8 1.119 0.6279
5.0 0.9571 0.4539
5.2 0.7844 0.3192
5.4 0.6146 0.2185
5.6 0.4601 0.1458
5.8 0.3295 0.09484
6.0 0.2262 0.06023
6.2 0.1494 0.03738
6.4 0.09520 0.02268
6.6 0.05878 0.01348
6.8 0.03528 0.007859
7.0 0.02066 0.004499

βA HII = kT(β1 + βB)

See Also

Recombination Coefficients

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