\begin{table}%t1
\caption{Characteristics of the stellar models (with $[{\rm Fe/H}]=-2$) on the ZAMS and at 10~Gyr:
effective temperature, luminosity, thickness of the external convective zone in stellar mass and radius, largest convective scale~$\ell_{\rm c}$, characteristic convective frequency~$\nu_{\rm c}$, 
and thermal diffusivity below the convective envelope~$K_{\rm T}$. $\nu_{\rm max}$ is the maximum frequency required to capture the wave~-- mean flow interaction.}\label{tab1}
%\centering
\par
\begin{tabular}{cccccccccc}
\hline  \hline
\multicolumn{1}{c}{$M_*$} & \multicolumn{1}{c}{Age}
& \multicolumn{1}{c}{$T_{\rm eff}$}
& \multicolumn{1}{c}{$L/L_{\odot}$}
& \multicolumn{1}{c}{log$\left({M_{\rm cz}/{M_*}}\right)$}
& \multicolumn{1}{c}{$R_{\rm cz}/{R_*}$}
& \multicolumn{1}{c}{$\ell_{\rm c}$} 
& \multicolumn{1}{c}{$\nu_{\rm c}$}
& \multicolumn{1}{c}{$K_{\rm T}$}
& \multicolumn{1}{c}{$\nu_{\rm max}$}
\\
($M_{\odot}$) & (Gyr) & (K) & & & & &($\mu$Hz) &
(cm$^2$~s$^{-1}$) & ($\mu$Hz)\\
\hline
0.60 & zams & 4985 & 0.14 & $-1.18$ & 0.271 & 57 & 0.517 & $2.43 \times 10^5$ & 1.25 \\
     & 10   & 5125 & 0.18 & $-1.30$ & 0.263 & 59 & 0.614 & $4.38 \times 10^5$ & 1.25\\
0.65 & zams & 5245 & 0.21 & $-1.44$ & 0.236 & 67 & 0.751 & $7.79 \times 10^5$ & 1.25 \\
     & 10   & 5436 & 0.29 & $-1.66$ & 0.229 & 69 & 0.879 & $1.71 \times 10^6$ & 1.25\\
0.70 & zams & 5490 & 0.30 & $-1.77$ & 0.206 & 78 & 1.05 & $2.37 \times 10^6$ & 1.25 \\
     & 10   & 5725 & 0.47 & $-2.22$ & 0.181 & 90 & 1.68 & $1.14 \times 10^7$ & 1.25\\
0.75 & zams & 5720 & 0.42 & $-2.18$ & 0.176 & 92 & 1.50 & $6.89 \times 10^6$ & 1.25 \\
     & 10   & 6015 & 0.78 & $-3.15$ & 0.125 & 132& 4.27 & $1.68 \times 10^8$ & 1.85\\
0.80 & zams & 5935 & 0.57 & $-2.79$ & 0.131 & 126 & 3.29 & $4.31 \times 10^7$ & 1.85 \\
     & 10   & 6342 & 1.37 & $-4.15$ & 0.065 & 259 & 26.1 & $1.42 \times 10^{10}$ & 6.25\\
0.82 & zams & 6010 & 0.64 & $-3.04$ & 0.119 & 140 & 3.96 & $6.56 \times 10^7$ & 1.85 \\
     & 10   & 6503 & 1.80 & $-5.96$ & 0.041 & 392 & 8.02 & $2.91 \times 10^{11}$ & 17.5\\
0.85 & zams & 6140 & 0.76 & $-3.55$ & 0.094 & 175 & 7.02 & $2.22 \times 10^8$ & 2.50 \\
     & 10   & 6810 & 2.92 & $-8.23$ & 0.010 & 1110& 384  & $2.80 \times 10^{13}$ & $*$\\
0.9  & zams & 6370 & 0.99 & $-4.56$ & 0.062 &270 & 20.9 & $2.39 \times 10^9$ & 3.75 \\
\hline
\multicolumn{10}{l}{$*$ {\small No oscillation occurs in this model.}}
\end{tabular}
\end{table}