\begin{table}%t3 \caption{\label{tab_int}a) {\it Chandra} LETG observation (Liang \& Zhao \cite{LZ08b}) for Procyon along with predictions (for the line emissivity~$\epsilon$ and intensity~$I$) at $T_\rme=10^{6.1}$~K and $n_\rme=1.6$~$\times$ $10^9$~cm$^{-3}$. For completeness, an observation for a solar active region is given in the column labelled ABB85 (Acton et~al. \cite{ABB85}). The ``$-$''~tag in the $\lambda$-columns denotes those wavelengths corrected by experimental energies.} \par \small%\centerline { \begin{tabular}{cccrccrcccclc} \hline\hline %&&&&&&&&&&&& \\[-8pt] ${\rm \lambda_{obs}}$ & \multicolumn{2}{c}{\rm Flux} & \multicolumn{1}{c}{$\lambda^a$} & ${\rm \epsilon}^a$ & $I_{\rm Procyon}^{a}$ & \multicolumn{1}{c}{$\lambda^b$} & ${\rm \epsilon}^b$ & $I_{\rm Procyon}^{b}$ & \multicolumn{4}{c}{\rm Transition} \\ \cline{10-13} \AA & ${\rm Procyon^{\star}}$ & ${\rm ABB85^{\bigtriangleup}}$ &\multicolumn{1}{c}{\AA} &${\rm phot.~cm^3~s^{-1}}$ & & \multicolumn{1}{c}{\AA} & ${\rm phot.~cm^3~s^{-1}}$ & & \multicolumn{2}{c}{\rm Upper} & \multicolumn{2}{c}{\rm Low} \\ \hline %&&&&&&&&&&&& \\[-8pt] 47.42 & $0.55(0.06){^c}$& ... & $-47.489$&$5.476(-12){^d}$& 0.16 & $-47.489$ & $4.098(-12)$ & 0.12 & ${\rm 2s 2p 3p}$ & ${\rm ^2D_{3/2}}$ & ${\rm \to ~2s^2 2p}$ & ${\rm ^2P_{1/2}}$\\ & & ... & 47.545 & $6.058(-12)$ & 0.22 & $-47.545$ & $4.831(-12)$ & 0.14 & ${\rm 2s 2p 3p}$ & ${\rm ^2D_{5/2}}$ & ${\rm \to ~2s^2 2p}$ & ${\rm ^2P_{3/2}}$\\ 50.334 & 0.44(0.08) & 195 & $-50.305$ & $1.680(-12)$ & 0.05 & $-50.305$ & $4.055(-12)$ & 0.04 & ${\rm 2s 2p 3d}$ & ${\rm ^4D_{5/2}}$ & ${\rm \to ~2s 2p^2}$ & ${\rm ^4P_{3/2}}$\\ & & & 50.316 & $1.259(-12)$ & 0.04 & $-50.316$ & $1.824(-12)$ & 0.06 & ${\rm 2s 2p 3d}$ & ${\rm ^2D_{5/2}}$ & ${\rm \to ~2s 2p^2}$ & ${\rm ^4P_{5/2}}$\\ & & & $-50.333$ & $1.021(-12)$ & 0.03 & $-50.333$ & $1.477(-12)$ & 0.04 & ${\rm 2s 2p 3d}$ & ${\rm ^4D_{7/2}}$ & ${\rm \to ~2s 2p^2}$ & ${\rm ^4P_{5/2}}$\\ 50.524 & 1.38(0.09) & 12 & $-50.524$ & $4.403(-11)$ & 1.26 & $-50.524$ & $3.902(-11)$ & 1.14 & ${\rm 2s^2 3d }$ & ${\rm ^2D_{3/2}}$ & ${\rm \to ~2s^2 2p}$ & ${\rm ^2P_{1/2}}$\\ 50.672 & 1.04(0.08) & 74 & $-50.691$ & $4.979(-11)$ & 1.40 & $-50.691$ & $4.734(-11)$ & 1.37 & ${\rm 2s^2 3d }$ & ${\rm ^2D_{5/2}}$ & ${\rm \to ~2s^2 2p}$ & ${\rm ^2P_{3/2}}$\\ & & & $-50.703$ & $8.778(-12)$ & 0.25 & $-50.703$ & $7.769(-12)$ & 0.23 & ${\rm 2s^2 3d }$ & ${\rm ^2D_{3/2}}$ & ${\rm \to ~2s^2 2p}$ & ${\rm ^2P_{3/2}}$\\ 50.828 & 0.15(0.08) & ... & 51.047 & $1.224(-12)$ & 0.04 & 50.829 & $1.812(-12)$ & 0.06 & ${\rm 2s 2p 3d}$ & ${\rm ^4F_{7/2}}$ & ${\rm \to ~2s 2p^2}$ & ${\rm ^4P_{5/2}}$\\ & & & 51.047 & $3.142(-13)$ & 0.01 & 50.830 & $4.352(-13)$ & 0.01 & ${\rm 2s 2p 3d}$ & ${\rm ^4F_{3/2}}$ & ${\rm \to ~2s 2p^2}$ & ${\rm ^4P_{3/2}}$\\ 52.453 & 0.29(0.07) & 15 & $-52.485$ & $8.715(-12)$ & 0.25 & $-52.485$ & $7.279(-12)$ & 0.21 & ${\rm 2s 2p 3d}$ & ${\rm ^2F_{7/2}}$ & ${\rm \to ~2s 2p^2}$ & ${\rm ^2D_{5/2}}$\\ 52.594 & 0.30(0.07) & 40 & $-52.611$ & $1.001(-11)$ & 0.29 & $-52.611$ & $7.926(-12)$ & 0.26 & ${\rm 2s 2p 3d}$ & ${\rm ^2F_{5/2}}$ & ${\rm \to ~2s 2p^2}$ & ${\rm ^2D_{3/2}}$\\ 54.533 & 0.62(0.12) & $<$10 & $-54.521$ & $1.564(-12)$ & 0.04 & $-54.522$ & $1.241(-12)$ & 0.03 & ${\rm 2s 2p 3s}$ & ${\rm ^4P_{3/2}}$ & ${\rm \to ~2s 2p^2}$ & ${\rm ^4P_{1/2}}$\\ & & & $-54.522$ & $2.680(-13)$ & 0.01 & $-54.522$ & $1.302(-12)$ & 0.04 & ${\rm 2s 2p 3d}$ & ${\rm ^2P_{1/2}}$ & ${\rm \to ~2s 2p^2}$ & ${\rm ^2S_{1/2}}$\\ & & & $-54.598$ & $4.731(-12)$ & 0.14 & $-54.599$ & $3.947(-12)$ & 0.12 & ${\rm 2s 2p 3d}$ & ${\rm ^2P_{3/2}}$ & ${\rm \to ~2s 2p^2}$ & ${\rm ^2S_{1/2}}$\\ 54.895 & 0.52(0.12) & $<$10 & 55.238 & $9.561(-13)$ & 0.03 & 54.955 & $3.892(-12)$ & 0.11 & ${\rm 2s^2 3s }$ & ${\rm ^2S_{1/2}}$ & ${\rm \to ~2s^2 2p}$ & ${\rm ^2P_{1/2}}$\\ 55.078 & 0.67(0.07) & 17 & 55.453 & $1.945(-12)$ & 0.06 & 55.167 & $8.218(-12)$ & 0.22 &$ {\rm 2s^2 3s }$ & ${\rm ^2S_{1/2}}$ & ${\rm \to ~2s^2 2p}$ & ${\rm ^2P_{3/2}}$\\ 57.196 & 0.25(0.07) & 25 & $-57.209$ & $1.427(-11)$ & 0.40 & $-57.209$ & $1.386(-11)$ & 0.43 & ${\rm 2s 2p 3s}$ & ${\rm ^2P_{3/2}}$ & ${\rm \to ~2s 2p^2}$ & ${\rm ^2D_{5/2}}$\\ 57.309 & 0.35(0.08) & 17 & $-57.365$ & $1.536(-11)$ & 0.43 & $-57.365$ & $1.459(-11)$ & 0.40 & ${\rm 2s 2p 3s}$ & ${\rm ^2P_{1/2}}$ & ${\rm \to ~2s 2p^2}$ & ${\rm ^2D_{3/2}}$\\ 61.971 & 1.11(0.14) & 32 & 62.282 & $1.223(-11)$ & 0.32 & 61.925 & $1.515(-11)$ & 0.46 & ${\rm 2s^2 3p }$ & ${\rm ^2P_{3/2}}$ & ${\rm \to ~2s 2p^2}$ & ${\rm ^2D_{5/2,3/2}}$\\ & & & 62.358 & $8.668(-12)$ & 0.24 & 61.992 & $1.106(-11)$ & 0.31 & ${\rm 2s^2 3p }$ & ${\rm ^2P_{1/2}}$ & ${\rm \to ~2s 2p^2}$ & ${\rm ^2D_{3/2}}$\\[2pt] \hline \end{tabular}} \medskip $\star$ Units = $10^{-4}$ photons~cm$^{-2}$~s$^{-1}$; $\bigtriangleup$ units = photons~cm$^{-2}$~s$^{-1}$~arcsec$^{-1}$; $^{a}$~obtained using the $R$-matrix data of Keenan et~al. (\cite{KOT00}) for $n=2$ and the DW~data of Zhang \& Sampson (\cite{ZS94}) for $n=3$; $^{b}$~obtained using the present ICFT $R$-matrix excitation data; $^{c}$~($m$) denotes $\pm$$m$; $^{d}$~($n$) denotes $\times10^n$. \setcounter{table}{2} \caption{\label{tab_int_b}b) Line intensity ratios relative to that of 50.524~\AA\ in the soft X-ray wavelength range. The caption and footnotes are the same as in Table~\ref{tab_int}a.} \par %\centering \small \begin{tabular}{cccrcrccclc} \hline\hline %&&&&&&&&&& \\[-8pt] ${\rm \lambda_{obs}}$ & \multicolumn{2}{c}{\rm Ratio} & \multicolumn{1}{c}{$\lambda^a$} & $I/I_{\rm ref}^{a}$ & \multicolumn{1}{c}{$\lambda^b$} & $I/I_{\rm ref}^{b}$ & \multicolumn{4}{c}{\rm Transition} \\ \cline{8-11} ${\mbox \AA}$ & ${\rm Procyon^{\star}}$ & ${\rm ABB85^{\bigtriangleup}}$ &\multicolumn{1}{c}{$\mbox \AA$} & & \multicolumn{1}{c}{$\mbox \AA$} & & \multicolumn{2}{c}{\rm Upper} & \multicolumn{2}{c}{\rm Low} \\ \hline %&&&&&&&&&& \\[-8pt] 47.42 & $0.40(0.05){^c}$ & ... & $-47.489$& 0.12 & $-47.489$ & 0.11 & ${\rm 2s 2p 3p}$ & ${\rm ^2D_{3/2}}$ & ${\rm \to ~2s^2 2p}$ & ${\rm ^2P_{1/2}}$\\ & & ... & 47.545 & 0.14 & $-47.545$ & 0.12 & ${\rm 2s 2p 3p}$ & ${\rm ^2D_{5/2}}$ & ${\rm \to ~2s^2 2p}$ & ${\rm ^2P_{3/2}}$\\ 50.334 & 0.32(0.06) & 16.25 & $-50.305$ & 0.04 & $-50.305$ & 0.10 & ${\rm 2s 2p 3d}$ & ${\rm ^4D_{5/2}}$ & ${\rm \to ~2s 2p^2}$ & ${\rm ^4P_{3/2}}$\\ & & & 50.316 & 0.03 & $-50.316$ & 0.05 & ${\rm 2s 2p 3d}$ & ${\rm ^2D_{5/2}}$ & ${\rm \to ~2s 2p^2}$ & ${\rm ^4P_{5/2}}$\\ & & & $-50.333$ & 0.02 & $-50.333$ & 0.04 & ${\rm 2s 2p 3d}$ & ${\rm ^4D_{7/2}}$ & ${\rm \to ~2s 2p^2}$ & ${\rm ^4P_{5/2}}$\\ 50.524 & 1.00(0.09) & 1.00 & $-50.524$ & 1.00 & $-50.524$ & 1.00 & ${\rm 2s^2 3d }$ & ${\rm ^2D_{3/2}}$ & ${\rm \to ~2s^2 2p}$ & ${\rm ^2P_{1/2}}$\\ 50.672 & 0.75(0.08) & 6.17 & $-50.691$ & 1.13 & $-50.691$ & 1.21 & ${\rm 2s^2 3d }$ & ${\rm ^2D_{5/2}}$ & ${\rm \to ~2s^2 2p}$ & ${\rm ^2P_{3/2}}$\\ & & & $-50.703$ & 0.20 & $-50.703$ & 0.20 & ${\rm 2s^2 3d }$ & ${\rm ^2D_{3/2}}$ & ${\rm \to ~2s^2 2p}$ & ${\rm ^2P_{3/2}}$\\ 50.828 & 0.11(0.06) & ... & 51.047 & 0.03 & 50.829 & 0.05 & ${\rm 2s 2p 3d}$ & ${\rm ^4F_{7/2}}$ & ${\rm \to ~2s 2p^2}$ & ${\rm ^4P_{5/2}}$\\ & & & 51.047 & 0.01 & 50.830 & 0.01 & ${\rm 2s 2p 3d}$ & ${\rm ^4F_{3/2}}$ & ${\rm \to ~2s 2p^2}$ & ${\rm ^4P_{3/2}}$\\ 52.453 & 0.21(0.05) & 1.25 & $-52.485$ & 0.20 & $-52.485$ & 0.19 & ${\rm 2s 2p 3d}$ & ${\rm ^2F_{7/2}}$ & ${\rm \to ~2s 2p^2}$ & ${\rm ^2D_{5/2}}$\\ 52.594 & 0.22(0.05) & 3.33 & $-52.611$ & 0.23 & $-52.611$ & 0.20 & ${\rm 2s 2p 3d}$ & ${\rm ^2F_{5/2}}$ & ${\rm \to ~2s 2p^2}$ & ${\rm ^2D_{3/2}}$\\ 54.533 & 0.45(0.09) & $<$1.00 & $-54.521$ & 0.04 & $-54.522$ & 0.03 & ${\rm 2s 2p 3s}$ & ${\rm ^4P_{3/2}}$ & ${\rm \to ~2s 2p^2}$ & ${\rm ^4P_{1/2}}$\\ & & & $-54.522$ & 0.01 & $-54.522$ & 0.03 & ${\rm 2s 2p 3d}$ & ${\rm ^2P_{1/2}}$ & ${\rm \to ~2s 2p^2}$ & ${\rm ^2S_{1/2}}$\\ & & & $-54.598$ & 0.11 & $-54.599$ & 0.10 & ${\rm 2s 2p 3d}$ & ${\rm ^2P_{3/2}}$ & ${\rm \to ~2s 2p^2}$ & ${\rm ^2S_{1/2}}$\\ 54.895 & 0.38(0.09) & $<$1.00 & 55.238 & 0.02 & 54.955 & 0.10 & ${\rm 2s^2 3s }$ & ${\rm ^2S_{1/2}}$ & ${\rm \to ~2s^2 2p}$ & ${\rm ^2P_{1/2}}$\\ 55.078 & 0.49(0.06) & 1.42 & 55.453 & 0.04 & 55.167 & 0.21 & ${\rm 2s^2 3s }$ & ${\rm ^2S_{1/2}}$ & ${\rm \to ~2s^2 2p}$ & ${\rm ^2P_{3/2}}$\\ 57.196 & 0.18(0.05) & 2.08 & $-57.209$ & 0.32 & $-57.209$ & 0.36 & ${\rm 2s 2p 3s}$ & ${\rm ^2P_{3/2}}$ & ${\rm \to ~2s 2p^2}$ & ${\rm ^2D_{5/2}}$\\ 57.309 & 0.25(0.06) & 1.42 & $-57.365$ & 0.35 & $-57.365$ & 0.37 & ${\rm 2s 2p 3s}$ & ${\rm ^2P_{1/2}}$ & ${\rm \to ~2s 2p^2}$ & ${\rm ^2D_{3/2}}$\\ 61.971 & 0.80(0.11) & 2.67 & 62.282 & 0.28 & 61.925 & 0.39 & ${\rm 2s^2 3p }$ & ${\rm ^2P_{3/2}}$ & ${\rm \to ~2s 2p^2}$ & ${\rm ^2D_{5/2,3/2}}$\\ & & & 62.358 & 0.20 & 61.992 & 0.28 & ${\rm 2s^2 3p }$ & ${\rm ^2P_{1/2}}$ & ${\rm \to ~2s 2p^2}$ & ${\rm ^2D_{3/2}}$\\[2pt] \hline \end{tabular} \end{table}