\begin{table}%t6
\caption{$\alpha$ values ($10^{-17}$~cm$^{3}$ s$^{-1}$) for rough olivine. }\label{alpha r olivine}
%\centering
\small
\begin{tabular}{lccccccccccc}
\hline \hline
$f/f_{0}$   &  10 K  & 11 K  & 12 K  & 13 K  & 14 K  & 15 K  & 16 K  & 17 K  & 18 K  & 19 K & 20 K \\ \hline
1  &  7.8  & 8.0  & 8.4  & 8.4  & 8.6  & 8.6  & 8.4  & 7.3  & 3.9  & 0.70 & 0.082\\ 
2  &  7.8  & 8.0  & 8.4  & 8.4  & 8.6  & 8.6  & 8.4  & 7.7  & 5.0  & 1.2 & 0.15\\ 
3  &  7.8  & 7.9  & 8.3  & 8.4  & 8.5  & 8.6  & 8.4  & 7.8  & 5.5  & 1.7 & 0.22\\ 
4  &  7.8  & 7.9  & 8.3  & 8.4  & 8.5  & 8.6  & 8.4  & 7.9  & 5.9  & 2.0 & 0.29\\ 
5  &  7.8  & 7.9  & 8.3  & 8.4  & 8.5  & 8.6  & 8.4  & 8.0  & 6.1  & 2.4 & 0.38\\ 
6  &  7.7  & 7.8  & 8.2  & 8.4  & 8.5  & 8.6  & 8.4  & 8.0  & 6.3  & 2.7 & 0.43\\ 
7  &  7.8  & 7.9  & 8.2  & 8.4  & 8.5  & 8.6  & 8.4  & 8.0  & 6.5  & 2.9 & 0.51\\ 
8  &  7.7  & 7.8  & 8.2  & 8.4  & 8.5  & 8.6  & 8.4  & 8.0  & 6.6  & 3.1 & 0.56\\ 
9  &  7.8  & 7.8  & 8.2  & 8.4  & 8.4  & 8.6  & 8.4  & 8.1  & 6.7  & 3.2 & 0.65\\ 
10 &  7.7  & 7.8  & 8.2  & 8.4  & 8.4  & 8.6  & 8.4  & 8.1  & 6.8  & 3.4 & 0.67\\ 
15 &  7.8  & 7.8  & 8.1  & 8.4  & 8.5  & 8.6  & 8.4  & 8.1  & 7.1  & 4.0 & 0.95\\ 
20 &  7.7  & 7.8  & 8.1  & 8.3  & 8.4  & 8.6  & 8.4  & 8.2  & 7.2  & 4.4 & 1.2\\ 
25 &  7.7  & 7.8  & 8.1  & 8.4  & 8.4  & 8.5  & 8.5  & 8.2  & 7.3  & 4.8 & 1.4\\ 
30 &  7.7  & 7.8  & 8.0  & 8.3  & 8.4  & 8.5  & 8.5  & 8.2  & 7.4  & 5.1 & 1.6\\ \hline
\end{tabular}
\end{table}