Table 1
Results of several RADEX calculations for the filament crest using a FWHM of 0.5 km s−1, and with varying column densities, temperatures and [H2]/[13CO] abundance ratios (top); RADEX calculations for the strands with varying abundances for 13CO and C18O. The [H2 ]/[13CO] abundance ratio is varied up to a factor 3, supported by theoretical models, and the [13CO]/[C18O] abundance ratio is varied to obtain results consistent with the observations (bottom).
| Crest |  (cm−2) |
Tkin (K) |  (cm−3) |
[H2]/[13CO] | [13CO]/[C18O] |  (K) |
 (K) |
 (K) |
|---|---|---|---|---|---|---|---|---|
| Observed values | 4.2 | 2.1 | 1.6 | |||||
| RADEX | 4 × 1021 | 10 | 104 | 5.7 × 105 | 7.3 | 4.6 | 2.1 | 1.6 |
| 6 × 1021 | 10 | 104 | 5.7 × 105 | 7.3 | 4.9 | 2.6 | 2.3 | |
| 6 × 1021 | 9 | 104 | 5.7 × 105 | 7.3 | 4.1 | 2.0 | 2.0 | |
| 4 × 1021 | 11 | 104 | 8 × 105 | 7.3 | 4.8 | 2.2 | 1.5 | |
| 4 × 1021 | 13 | 6.5 × 103 | 5.7 × 105 | 7.3 | 6.1 | 3.0 | 1.9 | |
| 3 × 1021 | 10 | 104 | 5.7 × 105 | 7.3 | 4.3 | 1.8 | 1.3 | |
| Strand |  (cm−2) |
Tkin (K) |  (cm−3) |
[H2]/[13CO] | [13CO]/[C18O] |  (K) |
 (K) |
 (K) |
| Observed values | 2.4 | 0.8 | 0.085 | |||||
| RADEX | 1021 | 15 | 3 × 103 | 5.7 × 105 | 7.3 | 2.8 | 0.85 | 0.52 |
| 1021 | 15 | 2 × 103 | 5.7 × 105 | 7.3 | 2.3 | 0.59 | 0.42 | |
| 1021 | 18 | 2 × 103 | 5.7 × 105 | 7.3 | 2.6 | 0.8 | 0.48 | |
| 1021 | 15 | 3 × 103 | 3.8 × 105 | 7.3 | 3.7 | 1.2 | 0.78 | |
| 1021 | 15 | 103 | 3.8 × 105 | 7.3 | 2.0 | 0.44 | 0.39 | |
| 1021 | 15 | 103 | 2.9 × 105 | 7.3 | 2.4 | 0.59 | 0.52 | |
| 1021 | 15 | 103 | 1.9 × 105 | 7.3 | 3.0 | 0.84 | 0.74 | |
| 1021 | 15 | 3 × 103 | 5.7 × 105 | 40 | 2.8 | 0.85 | 0.10 | |
| 1021 | 15 | 3 × 103 | 5.7 × 105 | 50 | 2.8 | 0.85 | 0.08 | |
Notes. The predictions closely match the observed brightness towards Musca filament crest for
cm−3 and Tk = 10 K, in particular when working with 
cm−2 which is the column density that is associated with filament crest. The presented observed brightness is obtained from the average spectra at
cm−2 (top). It demonstrates a high average [13CO]/[C18O] abundance ratio (~50) in the strands. The presented observed brightness is obtained from the average spectra at
cm−2. The observed brightness towards the strands generally matches predictions using
and TK = 15–18 K (bottom).
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