Table 3
Shell model results for H2CO and CH3OH.
| Molecule/ | Integration | Gradient model | ||||||
|---|---|---|---|---|---|---|---|---|
| source | (shell-like structure) | |||||||
| settings(a) |  |
 |
ρmax(X) | N(X)total |  |
 (X) |
 (X) |
|
| at distance | (rstart − rend) | (θmb = 25′′) | ||||||
| [K] | [cm−3] | [cm−3] at [AU] | [#] | [cm−2] | [cm−2] | |||
| H2CO | ||||||||
| R CrA-IRS 5A | A | 17.4 | 4.4 × 10−5 | 1.1 × 10−3 at 2837 | 6.2 × 1047 | 7.3 × 10−10 | 8.8 × 1012 | 6.3 × 1013 |
| B | 18.1 | 5.3 × 10−4 | 1.1 × 10−3 at 2837 | 5.4 × 1047 | 4.4 × 10−10 | 4.4 × 1013 | 6.1 × 1013 | |
| NGC 1333-IRAS 2A | A | 18.2 | 1.2 × 10−4 | 2.4 × 10−3 at 5519 | 8.2 × 1048 | 3.8 × 10−9 | 4.0 × 1013 | 2.5 × 1014 |
| B | 18.5 | 1.2 × 10−3 | 2.4 × 10−3 at 5519 | 7.7 × 1048 | 1.1 × 10−8 | 1.8 × 1014 | 2.4 × 1014 | |
| L1551-IRS 5 | A | 18.2 | 3.6 × 10−5 | 7.5 × 10−4 at 4408 | 1.4 × 1048 | 1.4 × 10−9 | 1.0 × 1013 | 6.0 × 1013 |
| B | 18.5 | 3.6 × 10−4 | 7.5 × 10−4 at 4408 | 1.3 × 1048 | 3.9 × 10−9 | 4.5 × 1013 | 5.9 × 1013 | |
| L1544 | C | 12.5 | 2.9 × 10−4 | 2.1 × 1048 | 2.3 × 10−10 | 4.6 × 1013 | 6.8 × 1013 | |
| CH3OH | ||||||||
| R CrA-IRS 5A | A | 17.8 | 2.5 × 10−5 | 7.6 × 10−4 at 2838 | 3.6 × 1047 | 4.2 × 10−10 | 5.1 × 1012 | 3.7 × 1013 |
| B | 17.9 | 3.4 × 10−4 | 7.6 × 10−4 at 2838 | 3.5 × 1047 | 2.8 × 10−9 | 2.8 × 1013 | 3.7 × 1013 | |
| NGC 1333-IRAS 2A | A | 18.1 | 3.2 × 10−4 | 7.2 × 10−3 at 5519 | 2.2 × 1049 | 1.0 × 10−8 | 1.1 × 1014 | 6.1 × 1014 |
| B | 18.1 | 3.2 × 10−3 | 7.2 × 10−3 at 5519 | 2.1 × 1049 | 3.0 × 10−8 | 5.0 × 1014 | 6.0 × 1014 | |
| L1551-IRS 5 | A | 18.1 | 2.6 × 10−5 | 6.0 × 10−4 at 4526 | 1.0 × 1048 | 1.0 × 10−9 | 7.3 × 1012 | 4.0 × 1013 |
| B | 18.2 | 2.7 × 10−4 | 6.0 × 10−4 at 4526 | 9.9 × 1047 | 2.9 × 10−9 | 3.4 × 1013 | 3.9 × 1013 | |
| L1544 | C | 12.5 | 1.2 × 10−4 | 8.8 × 1047 | 9.8 × 10−11 | 2.0 × 1013 | 2.9 × 1013 | |
Notes. Comment:
is the mean temperature in the shell between rstart − rend
and 
is the meanparticle density in that region. The sum of all molecules (X = H2CO or CH3OH) is denoted as N(X)total
and 
is the mean ratio of the species [X] and hydrogen in the region. The column density Nc (X) is calculated (1) for the region between rstart − rend, i.e., N(X)total
divided by 
, and (2) as column density along the line of sight of the telescope main beam θmb = 25′′, i.e., at typical main beam diameters of APEX 12 m (242 GHz) and IRAM 30 m (97 GHz); see Fig. 3. The definition of the integration settings A, B, and C is given in Table 2. (a) For integration setting details see Table 2.
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