Table 3
Results of excitation analysis of AlF towards O Ceti in three selected regions shown in Fig. 1.
| Region | Diameter (R⋆) | Trot (K) | Tvib (K) |  |
 |
 |
Model |
|---|---|---|---|---|---|---|---|
| 1 | 22 | 145 ± 40 | 145 ± 40 | (3.6 ± 1.1) × 1015 | A | ||
| 1 | 22 | 1332±794 | 1332 ± 794 | (2.7 ± 0.7) × 1016 | B | ||
| 1 | 22 | 145 ± 40 | 1300 ± 500 | (5.8 ± 2.0) × 1015 | 2.4 × 1023 | (2.5 ± 1.7) × 10−8 | C |
| 2 | 11 | 320 | 320 | 2.1 × 1016 | A | ||
| 2 | 11 | 956 ±100 | 956 ± 100 | (7.5 ± 0.4) × 1016 | B | ||
| 2 | 11 | 320 | 1300 ± 500 | (3.0 ± 0.7) × 1016 | 2.0 × 1024 | (1.5 ± 0.8) × 10−8 | C |
| 3 | 4 | 320 | 1300 ± 500 | (5.0 ± 2.0) × 1016 | 6.1 × 1024 | (0.8 ± 0.5) × 10−8 | C |
Notes. For regions 1 and 2: models A include v = 0 lines in the population diagram (PD) to calculate the excitation temperature and column density which result to underestimation of the flux density of v =1 lines as shown by blue dashed lines in Figs. 3 and 4, models B include both v = 0 and v =1 lines in the PD, which results in the overestimation of the flux densities of all lines, and model C separates Trot and Tvib and results in the best model outcomes, as shown in Figs. 3 and 4 with red and green dashed lines and discussed in Sect. 3.1.1. (*)We note that 
is uncertain by a factor of two, as discussed in Sect. 3.1.2.
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