Table 3: For each target, the first row lists the minimum number density for $n_{{\rm H_2}}$ in cm-3 as derived using Eq. (4) at $T_{{\rm kin}}$ = 300 K and the second row gives the corresponding maximum radius for the emission regions obtained using the GASTRoNOoM-code. The third row gives the maximum radius for the emitting region calculated using Eq. (6).
    SiO HCN CS
  $n_{{\rm H_2}}$ $ 5.0 \times 10^6$ $ 4.4 \times
10^6$ $9.0 \times 10^5$
WX Psc R (Eq. (4)) 17 R* 19 R* 33 R*
  R (Eq. (6)) 4.5 R* R* 7.5 R*
  $n_{{\rm H_2}}$ $ 2.1 \times 10^6$ $ 2.1 \times 10^6$ $ 6.34 \times 10^5$
W Aql R (Eq. (4)) 40 R* 40 R* 70 R*
  R (Eq. (6)) R* 10 R* 11 R*
  $n_{{\rm H_2}}$ $ 2.7 \times 10^7$ $ 1.3 \times
10^6$ $ 7.6 \times 10^5$
II Lup R (Eq. (4)) 13 R* 53 R* 70 R*
  R (Eq. (6)) 2.5 R* 13 R* 10 R*
  $n_{{\rm H_2}}$ $ 2.8 \times 10^7$ $ 8.7 \times 10^6$  
V Cyg R (Eq. (4)) R* R*  
  R (Eq. (6))   R*  

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