\begin{table}%t7
%\centering
\par
\caption{Parameters of the dust  models for  \ka\ and  \wrc. The ``inner part'' model is designed to reproduce the SED as observed through the aperture of the {\em Spitzer} IRS spectrograph, while the emission from the ``outer part'' model matches the SED constrained by the MSX photometric measurements  (see text for details).}\label{tab:dustparameters}
\small
\begin{tabular}{lcccc} 
\hline \hline
\rule[0mm]{0mm}{3.25mm}  & \multicolumn{2}{c}{\ka}  & \multicolumn{2}{c}{\wrc}\\
\hline
\rule[0mm]{0mm}{3.25mm}Input parameter  &  &  & & \\
%\hline
$a_{\rm{min}}~[\mim ]$ & \multicolumn{2}{c}{0.001}     & \multicolumn{2}{c}{0.005} \\
$a_{\rm{max}}~[\mim ]$ & \multicolumn{2}{c}{7.50}      & \multicolumn{2}{c}{10.0}  \\
\hline
\rule[0mm]{0mm}{3.25mm} Input parameter &\multicolumn{1}{c}{inner part} & 
\multicolumn{1}{c}{outer part} & \multicolumn{1}{c}{inner part} & 
\multicolumn{1}{c}{outer part}\\
%\hline
\rule[0mm]{0mm}{3.25mm} $T_{1}~[\rm{K}]$   & 200   & 150 &  175 & 130\\
$Y$ &  2  & 3  & 2 & 3\\
$\tau_{\rm{V}}$ &$1.2\times 10^{-3}$ & $1.7\times 10^{-2}$    &$8.1\times 10^{-3}$   
& $1.5\times 10^{-1}$\\
\hline
\rule[0mm]{0mm}{3.25mm} Inferred parameter &\multicolumn{1}{c}{inner part} & \multicolumn{1}{c}{outer part} & \multicolumn{1}{c}{inner part} & \multicolumn{1}{c}{outer part}\\
%\hline
\rule[0mm]{0mm}{3.25mm} $r_1~[\rm{pc}]$ & 0.06 & 0.12 &0.07 & 0.15\\
\rule[0mm]{0mm}{3.25mm} $r_2~[\rm{pc}]$ & 0.12 & 0.36 &0.15  & 0.45\\
$\tau_{20~\mim}$ &$1.6\times 10^{-4}$ & $2.2\times 10^{-3}$ &$1.2\times 10^{-3}$ &
$1.3\times 10^{-2}$\\ 
$M_{\rm{dust}}~[\Msun]$  &$6\times 10^{-5}$ & $5\times 10^{-3}$ &  $7\times 10^{-4}$ & 
$8\times 10^{-2}$ \\
\hline
\end{tabular}
\end{table}