\begin{table}%t1 \caption{\label{tab1}The average large and small separations $\langle \Delta \nu_{0} \rangle$, $\langle d_{02} \rangle$, $\langle d_{13} \rangle$ for models with $Z_{i}$~=~0.03.} \par %\centering \small \begin{tabular}{c| r| r r r|r r r} \hline\hline &&&&&&& \\[-8pt] $M$&Age&\multicolumn{3}{c|}{No -- diffusion}&\multicolumn{3}{c}{Diffusion}\\ $(M_{\odot})$&(Gyr)&$\langle \Delta \nu_{0} \rangle$& $\langle d_{02} \rangle$& $\langle d_{13} \rangle$&$\langle \Delta \nu_{0} \rangle$& $\langle d_{02} \rangle$& $\langle d_{13} \rangle$\\ \hline 0.8 &0.5& 201.20& 16.89& 27.22& 200.94& 16.87& 27.19\\ 0.8 &1.0& 199.80& 16.53& 26.71& 199.22& 16.48& 26.63\\ 0.8 &1.5& 198.71& 16.24& 26.30& 197.86& 16.16& 26.19\\ 0.8 &2.0& 197.79& 15.97& 25.93& 196.51& 15.87& 25.77\\ 0.8 &2.5& 196.84& 15.71& 25.57& 195.38& 15.58& 25.38\\ 0.8 &3.0& 196.01& 15.46& 25.22& 194.20& 15.30& 24.98\\ 0.8 &3.5& 195.14& 15.21& 24.87& 193.04& 15.02& 24.59\\ 0.8 &4.0& 194.36& 14.95& 24.53& 191.87& 14.73& 24.19\\ 0.8 &4.5& 193.45& 14.70& 24.17& 190.71& 14.44& 23.79\\ 0.8 &5.0& 192.61& 14.44& 23.82& 189.55& 14.15& 23.39\\ 0.8 &5.5& 191.74& 14.18& 23.47& 188.37& 13.85& 22.98\\ 0.8 &6.0& 190.87& 13.92& 23.11& 187.20& 13.56& 22.57\\ 0.8 &6.5& 189.99& 13.66& 22.75& 185.98& 13.26& 22.16\\ 0.8 &7.0& 189.12& 13.39& 22.38& 184.85& 12.96& 21.75\\ 0.8 &7.5& 188.22& 13.13& 22.02& 183.63& 12.65& 21.35\\ 0.8 &8.0& 187.33& 12.86& 21.65& 182.44& 12.35& 20.90\\ 0.8 &8.5& 186.43& 12.59& 21.28& 181.21& 12.03& 20.47\\ 0.8 &9.0& 185.48& 12.31& 20.90& 179.96& 11.72& 20.04\\ 0.8 &9.5& 184.86& 12.04& 20.53& 178.69& 11.39& 19.60\\ 0.8 &10.0& 183.59& 11.76& 20.15& 177.33& 11.06& 19.15\\ 0.8 &10.5& 182.62& 11.47& 19.76& 176.09& 10.74& 18.70\\ 0.8 &11.0& 181.61& 11.18& 19.37& 174.78& 10.40& 18.25\\ 0.8 &11.5& 180.62& 10.90& 18.98& 173.61& 10.07& 17.81\\ 0.8 &12.0& 179.59& 10.60& 18.58& 172.05& 9.72& 17.33\\ 0.8 &12.5& 178.42& 10.30& 18.18& 170.68& 9.38& 16.86\\ 0.8 &13.0& 177.44& 10.00& 17.78& 169.34& 9.03& 16.39\\ 0.9 &0.5& 180.73& 15.90& 25.64& 180.44& 15.87& 25.60\\ 0.9 &1.0& 179.20& 15.50& 25.08& 178.59& 15.44& 25.00\\ 0.9 &1.5& 177.86& 15.13& 24.58& 176.93& 15.04& 24.44\\ 0.9 &2.0& 176.61& 14.77& 24.08& 175.32& 14.65& 23.90\\ 0.9 &2.5& 175.31& 14.41& 23.58& 173.69& 14.25& 23.34\\ 0.9 &3.0& 174.07& 14.05& 23.08& 172.03& 13.85& 22.78\\ 0.9 &3.5& 172.75& 13.68& 22.57& 170.44& 13.44& 22.22\\ 0.9 &4.0& 171.41& 13.30& 22.05& 168.80& 13.03& 21.65\\ 0.9 &4.5& 170.11& 12.92& 21.53& 167.09& 12.60& 21.06\\ 0.9 &5.0& 168.69& 12.53& 21.00& 165.38& 12.17& 20.47\\ 0.9 &5.5& 167.25& 12.14& 20.45& 163.60& 11.74& 19.87\\ 0.9 &6.0& 165.79& 11.74& 19.91& 161.80& 11.29& 19.26\\ 0.9 &6.5& 164.31& 11.33& 19.35& 159.95& 10.85& 18.64\\ 0.9 &7.0& 162.76& 10.92& 18.79& 158.06& 10.39& 18.01\\ 0.9 &7.5& 161.15& 10.51& 18.22& 156.11& 9.93& 17.37\\ 0.9 &8.0& 159.54& 10.09& 17.64& 154.10& 9.46& 16.72\\ 0.9 &8.5& 157.81& 9.66& 17.05& 151.94& 8.99& 16.06\\ 0.9 &9.0& 156.06& 9.23& 16.45& 149.94& 8.52& 15.40\\ 0.9 &9.5& 154.25& 8.79& 15.84& 147.82& 8.04& 14.73\\ 0.9 &10.0& 152.40& 8.36& 15.23& 145.55& 7.56& 14.04\\ 0.9 &10.5& 150.45& 7.91& 14.60& 143.25& 7.08& 13.35\\ 0.9 &11.0& 148.43& 7.47& 13.97& 140.86& 6.61& 12.65\\ 0.9 &11.5& 146.41& 7.03& 13.33& 138.38& 6.13& 11.94\\ 0.9 &12.0& 142.71& 6.54& 12.60& 135.78& 5.66& 11.23\\ 0.9 &12.5& 141.87& 6.14& 12.02& 133.15& 5.21& 10.51\\ 0.9 &13.0& 139.56& 5.70& 11.36& 130.35& 4.77& 9.80\\ 1.0 &0.5& 161.64& 14.86& 24.02& 161.29& 14.83& 23.97\\ 1.0 &1.0& 159.61& 14.36& 23.32& 158.88& 14.28& 23.21\\ 1.0 &1.5& 157.71& 13.86& 22.62& 156.60& 13.74& 22.46\\ 1.0 &2.0& 155.73& 13.35& 21.92& 154.26& 13.19& 21.69\\ 1.0 &2.5& 153.74& 12.83& 21.20& 151.92& 12.63& 20.91\\ 1.0 &3.0& 151.69& 12.30& 20.47& 149.50& 12.06& 20.11\\ 1.0 &3.5& 149.56& 11.76& 19.71& 147.15& 11.48& 19.30\\ 1.0 &4.0& 147.34& 11.21& 18.95& 144.46& 10.88& 18.46\\ 1.0 &4.5& 145.02& 10.65& 18.16& 141.80& 10.28& 17.61\\ \hline 1.0 &5.0& 142.69& 10.09& 17.37& 139.10& 9.68& 16.75\\ 1.0 &5.5& 140.25& 9.53& 16.56& 136.28& 9.07& 15.87\\ 1.0 &6.0& 137.81& 8.96& 15.74& 132.94& 8.44& 14.93\\ 1.0 &6.5& 134.99& 8.38& 14.88& 130.25& 7.84& 14.04\\ 1.0 &7.0& 132.22& 7.80& 14.02& 127.23& 7.25& 13.14\\ 1.0 &7.5& 129.30& 7.23& 13.15& 123.97& 6.66& 12.20\\ 1.0 &8.0& 126.26& 6.67& 12.26& 120.63& 6.09& 11.27\\ 1.0 &8.5& 123.06& 6.13& 11.37& 117.06& 5.38& 10.34\\ 1.0 &9.0& 119.62& 5.43& 10.48& 113.56& 4.26& 9.41\\ 1.0 &9.5& 116.42& 4.46& 9.60& 110.14& 3.61& 8.45\\ 1.1 &0.5& 142.72& 13.65& 22.17& 142.38& 13.61& 22.12\\ 1.1 &1.0& 137.66& 12.81& 20.97& 139.20& 12.89& 21.10\\ 1.1 &1.5& 137.07& 12.29& 20.26& 136.11& 12.17& 20.08\\ 1.1 &2.0& 134.24& 11.60& 19.28& 132.74& 11.42& 19.01\\ 1.1 &2.5& 131.20& 10.89& 18.26& 129.35& 10.67& 17.93\\ 1.1 &3.0& 128.15& 10.18& 17.23& 125.88& 9.91& 16.82\\ 1.1 &3.5& 124.84& 9.45& 16.16& 122.62& 9.17& 15.72\\ 1.1 &4.0& 121.44& 8.73& 15.07& 118.52& 8.39& 14.53\\ 1.1 &4.5& 117.85& 8.02& 13.95& 114.67& 7.65& 13.36\\ 1.1 &5.0& 114.20& 7.32& 12.82& 110.74& 6.94& 12.17\\ 1.1 &5.5& 110.38& 6.66& 11.68& 106.64& 5.88& 10.69\\ 1.1 &6.0& 106.60& 5.43& 10.19& 102.69& 5.06& 9.13\\ 1.2 &0.5& 124.79& 12.28& 20.14& 124.36& 12.22& 20.07\\ 1.2 &1.0& 121.15& 11.41& 18.90& 120.22& 11.30& 18.73\\ 1.2 &1.5& 117.33& 10.53& 17.61& 116.06& 10.37& 17.37\\ 1.2 &2.0& 113.39& 9.65& 16.28& 111.76& 9.45& 15.98\\ 1.2 &2.5& 109.32& 8.79& 14.92& 107.23& 8.42& 14.55\\ 1.2 &3.0& 105.10& 7.93& 13.28& 102.81& 7.58& 12.89\\ 1.2 &3.5& 100.74& 7.05& 11.86& 98.33& 6.28& 11.49\\ 1.2 &4.0& 96.53& 5.50& 10.58& 93.66& 5.96& 10.04\\ 1.2 &4.5& 92.18& 4.78& 8.92& 89.24& 3.99& 8.62\\ 1.2 &5.0& 86.36& 3.89& 7.08& 84.39& 3.52& 6.98\\ \hline \end{tabular} \end{table}