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Christer Watson edited Results.tex
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\section{Results}
Eighteen sources displayed emission greater than 3$\sigma$. A typical spectrum is shown in Figure \ref{N92spectrum}. Emission lines were fit using fitgauss, the standard Gaussian fitting routine in GBTIDL. Fitting parameters (amplitude in T$_{mb}$ units, central velocity and FWHM) are listed in Table \ref{fitting}. For sources that displayed a double peak, two simultaneous Gaussian functions were fit to the emission and are listed in consecutive rows. Column densities were calculated assuming LTE, optically thin emission and an excitation temperature T$_{ex}$=15 K, a typical ISM value (see review in \citet{Zinnecker_2007}). If CS(1-0) is optically
thick thick, as we assume for three sources in section 4.2 below, then our calculation would be a lower limit. Given these assumptions we used the following relation (see citation for a detailed discussion of the relations below):
\begin{equation}
N_{CS} = \frac{3 k_B \epsilon_0}{2 \pi^2}\frac{1}{\nu \mu^2_{el}S}\frac{Z_{rot}(T_{ex})}{g_K g_I}\frac{e^{E_u/k_B T_{ex}}}{1-\frac{F(T_{bg})}{F(T_{ex})}}\int T_{MB}dv
\end{equation}
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