Table 3
Estimated values and standard deviations of Te, ne, and EM for ultra-compact, compact, and extended H II regions.
| σ/µ | 3% | 10% |  |
LTE temperature | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| ne = 103 cm−3 | ne = 103 cm−3 | ne = 103 cm−3 | ne = 103 cm−3 | |||||||||
| EM cm−6 pc |  K |
 103 cm−3 |
 105 cm−6 pc |
 K |
 103 cm−3 |
 E 105 cm−6 pc |
H40α | H80α | H120α |  K |
 K |
 K |
| 1.0 × 105 | 10086 ± 213 | 6.90 ± 14.46 | 1.01 ± 0.02 | 10200 ± 570 | 21.22 ± 34.76 | 1.01 ± 0.02 | 0.79 | 0.93 | 1.02 | 12076 | 10602 | 9877 |
| 5.0 × 105 | 10030 ±195 | 1.33 ± 1.48 | 4.98 ± 0.10 | 10138±559 | 12.85 ± 26.79 | 5.02 ± 0.12 | 0.79 | 0.95 | 1.13 | 12076 | 10426 | 9068 |
| 1.0 × 106 | 10014± 210 | 1.19 ± 0.47 | 10.00 ± 0.25 | 10163 ± 634 | 6.11 ± 17.94 | 10.03 ± 0.24 | 0.79 | 0.98 | 1.27 | 12077 | 10213 | 8239 |
| 5.0 × 106 | 10014 ± 219 | 1.09 ± 0.21 | 49.04 ± 0.93 | 10093 ± 581 | 1.18 ± 0.55 | 48.84 ± 1.09 | 0.79 | 1.17 | 2.43 | 12082 | 8790 | 4882 |
| ne = 104 cm-3 | ne = 104 cm-3 | ne = 104 cm−3 | ne = 104 cm−3 | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| EM cm-6 pc |  K |
 104 cm−3 |
 EM 106 cm−6 pc |
 K |
 104 cm−3 |
 E 106 cm−6 pc |
H40α | H80α | H120α |  K |
 K |
 K |
| 1.0 × 106 | 10050 ± 171 | 1.26 ± 0.76 | 1.00 ± 0.03 | 10308 ± 604 | 2.26 ± 3.12 | 1.01 ± 0.02 | 0.79 | 1.00 | 1.06 | 12133 | 10029 | 9624 |
| 5.0 × 106 | 10037± 186 | 1.11 ± 0.33 | 4.98 ± 0.11 | 10195 ± 640 | 1 .47 ± 1 .25 | 5.02 ± 0.12 | 0.79 | 1.06 | 1.30 | 12121 | 9542 | 8345 |
| 1.0 × 107 | 10064 ± 150 | 1.07 ± 0.21 | 10.10 ± 0.25 | 10296 ± 577 | 1.25 ± 0.72 | 10.10 ± 0.25 | 0.79 | 1.14 | 1.62 | 12104 | 9002 | 7212 |
| 5.0 × 107 | 10070 ± 163 | 1.03 ± 0.10 | 50.06 ± 0.91 | 10280 ± 628 | 1.12 ± 0.34 | 50.23 ± 1.25 | 0.80 | 1.82 | 5.20 | 11975 | 6255 | 3878 |
| ne = 105 cm−3 | ne = 105 cm−3 | ne = 105 cm-3 | ne = 105 cm−3 | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| EM cm−6 pc |  K |
 105 cm−3 |
 E 108 cm-6 pc |
  |
 105 cm−3 |
 E 108 cm−6 pc |
H40α | H80α | H120α |  K |
 K |
 K |
| 5.0 × 107 | 10022 ± 200 | 1.08 ± 0.19 | 0.50 ± 0.01 | 10159 ± 657 | 1.19 ± 0.53 | 0.50 ± 0.01 | 0.92 | 1.18 | 1.79 | 10742 | 9031 | 9602 |
| 1.0 × 108 | 10005 ± 186 | 1.04 ± 0.10 | 1.00 ± 0.03 | 10144 ± 625 | 1.14 ± 0.34 | 1.00 ± 0.03 | 0.93 | 1.37 | 3.37 | 10569 | 8254 | 9430 |
| 5.0 × 108 | 10018 ± 210 | 1.02 ± 0.07 | 4.99 ± 0.10 | 10009 ± 637 | 1.09 ± 0.23 | 5.00 ± 0.13 | 1.10 | 3.41 | > 103 | 9361 | 5155 | 9117 |
| 1.0 × 109 | 9999 ± 180 | 1.02 ± 0.07 | 9.90 ± 0.14 | 10044 ± 547 | 1.09 ± 0.22 | 9.90 ± 0.14 | 1.32 | 7.93 | > 103 | 8136 | 3796 | 9028 |
Notes. The values and standard deviations of Te, ne, and EM estimated using the line-to-continuum ratios ∫Iv,Ldv/Iv,C) of the H40a, H80a, and H120a lines and the continuum emission at 99.023 GHz from ionized gas with different electron densities and EMs. The actual electron temperature is 10 000 K. The relative uncertainties σ/µ of the line-to-continuum ratio are assumed to be 3 and 10%, and the corresponding relative uncertainties of the 99.023 GHz continuum is 3%. The ratios of the frequency-integrated intensity (∫Iv,Ldv) to the intensity calculated under the LTE assumption 
for the H40a, H80a, and H120a lines are given in the three columns below the heading 
. The LTE temperatures estimated by using a single line-to-continuum ratio of one of the three Hnα lines to the continuum emission at corresponding frequency are given in the three right-most columns.
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