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Table 5:

Optical depths of the H13CO+ $J=3\rightarrow 2$ lines toward L1448-mm (0, 0) and (0, -10) derived from different isotopologue ratios for the ambient (amb.) and the precursor (prec.) components, and for different source morphologies.
(0, 0)
Ratio used Component $T_{\rm B,rare}/T_{\rm B,32}$ $\tau_{32}$(H13CO+) $T_{\rm B,rare}/T_{\rm B,32}$ $\tau_{32}$(H13CO+)
    Source size $5\hbox{$^{\prime\prime}$ }$ Extended source
HC18O+/H13CO+ Amb. $\la $2.4 ... $\la $0.9 $\la $16
  Prec. $\la $0.25 $\la $2.1 $\la $0.09 $\la $0.59a
H13C18O+/H13CO+ Amb. $\la $1.1 ... $\la $0.4 $\la $290
  Prec. $\la $0.11 $\la $67 $\la $0.04 $\la $24
(0, -10)
Ratio used Component $T_{\rm B,rare}/T_{\rm B,32}$ $\tau_{32}$(H13CO+) $T_{\rm B,rare}/T_{\rm B,32}$ $\tau_{32}$(H13CO+)
    Source size $5\hbox{$^{\prime\prime}$ }$ Extended source
HC18O+/H13CO+ Amb. $\la $3.1 ... $\la $1.1 ...
  Prec. $\la $0.85 $\la $16 $\la $0.3 $\la $2.8
H13C18O+/H13CO+ Amb. $\la $1.4 ... $\la $0.5 $\la $390
  Prec. $\la $0.38 $\la $280 $\la $0.1 $\la $83

Notes.  (a) This value of $\tau$(H13CO+) was estimated assuming $R=\frac{40}{577}$, rather than $R=\frac{69}{577}$ (see text for explanation).


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