\begin{table}%t5 \caption{\label{error}Error sources for the abundances of the chemical elements of 21~Peg.} %\centerline { \begin{tabular}{lrrrrrr} \hline \hline \multicolumn{1}{c}{Ion } & %1 \multicolumn{1}{c}{Abundance } & %2 \multicolumn{1}{c}{$\sigma_{\rm abn}$~(scatt.)} & %3 \multicolumn{1}{c}{$\sigma_{\rm abn}$~(\Teff)} & %4 \multicolumn{1}{c}{$\sigma_{\rm abn}$~(\logg)} & %5 \multicolumn{1}{c}{$\sigma_{\rm abn}$~(\vmic)} & %6 \multicolumn{1}{c}{$\sigma_{\rm abn}$~(syst.)} \\ %7 \multicolumn{1}{c}{ } & %1 \multicolumn{1}{c}{$\log (N/N_{\rm tot})$} & %2 \multicolumn{1}{c}{(dex)} & %3 \multicolumn{1}{c}{(dex)} & %4 \multicolumn{1}{c}{(dex)} & %5 \multicolumn{1}{c}{(dex)} & %6 \multicolumn{1}{c}{(dex)} \\ %7 \hline \ion{He}{i } & $-$1.11 & 0.04 & $-$0.08 & 0.03 & 0.00 & 0.09 \\ \ion{C}{i} & $-$3.66 & 0.14 & $-$0.05 & $-$0.13 & $-$0.10 & 0.17 \\ \ion{C}{ii} & $-$3.65 & 0.05 & $-$0.17 & $-$0.02 & $-$0.08 & 0.19 \\ \ion{N}{i} & $-$3.95 & 0.12 & $-$0.05 & $-$0.07 & $-$0.05 & 0.10 \\ \ion{N}{ii} & $-$3.90:& & $-$0.09 & 0.05 & 0.00 & 0.10 \\ \ion{O}{i} & $-$3.28 & 0.11 & 0.00 & $-$0.02 & $-$0.02 & 0.03 \\ \ion{Ne}{i} & $-$3.76 & 0.05 & $-$0.18 & $-$0.03 & $-$0.06 & 0.19 \\ \ion{Na}{i} & $-$5.60 & & 0.04 & $-$0.04 & $-$0.01 & 0.06 \\ \ion{Mg}{i} & $-$4.42 & 0.12 & 0.10 & $-$0.06 & $-$0.05 & 0.13 \\ \ion{Mg}{ii} & $-$4.56 & 0.03 & $-$0.02 & $-$0.01 & $-$0.02 & 0.03 \\ \ion{Al}{i } & $-$5.89 & & 0.10 & $-$0.03 & 0.00 & 0.10 \\ \ion{Al}{ii} & $-$5.68 & 0.10 & $-$0.09 & 0.01 & $-$0.03 & 0.10 \\ \ion{Si}{i} & $-$4.95 & & 0.10 & $-$0.02 & 0.00 & 0.10 \\ \ion{Si}{ii} & $-$4.49 & 0.13 & $-$0.07 & 0.01 & $-$0.03 & 0.08 \\ \ion{Si}{iii} & $-$4.26 & 0.18 & $-$0.16 & 0.04 & $-$0.03 & 0.17 \\ \ion{P}{ii} & $-$6.37 & 0.06 & $-$0.08 & 0.02 & $-$0.02 & 0.08 \\ \ion{S}{ii} & $-$4.86 & 0.13 & $-$0.14 & 0.00 & $-$0.05 & 0.15 \\ \ion{Ca}{i} & $-$5.84 & 0.11 & 0.20 & $-$0.07 & 0.00 & 0.21 \\ \ion{Ca}{ii} & $-$5.98 & 0.08 & 0.03 & $-$0.05 & $-$0.04 & 0.07 \\ \ion{Sc}{ii} & $-$9.37 & 0.10 & 0.12 & $-$0.01 & 0.00 & 0.12 \\ \ion{Ti}{ii} & $-$7.23 & 0.09 & 0.08 & 0.00 & $-$0.02 & 0.08 \\ \ion{V}{ii} & $-$7.98 & 0.06 & 0.06 & 0.02 & 0.00 & 0.06 \\ \ion{Cr}{i} & $-$6.29 & 0.09 & 0.13 & $-$0.03 & 0.00 & 0.13 \\ \ion{Cr}{ii} & $-$6.20 & 0.10 & 0.03 & 0.02 & $-$0.01 & 0.04 \\ \ion{Mn}{i} & $-$6.54 & 0.21 & 0.14 & $-$0.03 & 0.00 & 0.14 \\ \ion{Mn}{ii} & $-$6.51 & 0.17 & 0.01 & 0.01 & $-$0.01 & 0.01 \\ \ion{Fe}{i} & $-$4.52 & 0.13 & 0.11 & $-$0.03 & 0.00 & 0.11 \\ \ion{Fe}{ii} & $-$4.50 & 0.12 & $-$0.02 & 0.02 & $-$0.02 & 0.03 \\ \ion{Fe}{iii} & $-$4.60 & 0.06 & $-$0.10 & 0.06 & $-$0.01 & 0.12 \\ \ion{Co}{ii} & $-$6.75 & 0.18 & 0.01 & 0.03 & 0.00 & 0.03 \\ \ion{Ni}{i} & $-$5.71 & 0.05 & 0.09 & $-$0.03 & $-$0.01 & 0.10 \\ \ion{Ni}{ii} & $-$5.61 & 0.09 & $-$0.04 & 0.03 & $-$0.01 & 0.05 \\ \ion{Zn}{i} & $-$6.86 & & 0.10 & $-$0.02 & 0.00 & 0.10 \\ \ion{Sr}{ii} & $-$9.10 & 0.01 & 0.13 & $-$0.03 & $-$0.06 & 0.15 \\ \ion{Y}{ii} & $-$9.76 & 0.15 & 0.13 & $-$0.02 & $-$0.01 & 0.13 \\ \ion{Zr}{ii} & $-$9.48 & 0.28 & 0.11 & 0.00 & 0.00 & 0.11 \\ \ion{Ba}{ii} & $-$9.19 & 0.06 & 0.14 & $-$0.02 & $-$0.01 & 0.14 \\ \ion{Nd}{iii} &$-$10.09 & 0.07 & 0.04 & 0.04 & 0.00 & 0.06 \\ \hline \end{tabular}} \smallskip \par Column 3 standard deviation $\sigma_{\rm abn}$ (scatt.) of the mean abundance obtained from different spectral lines (internal scattering); a blank means that the number of spectral lines is $<$3, hence no internal scattering could be estimated. (Note that these values are identical to those given in Table~\ref{abundance}.) Columns 4--6 give the variation in abundance estimated by increasing \Teff\ by 200~K, \logg\ by 0.1~dex, and \vmic\ by 0.4~km~s$^{-1}$, respectively. Column~7 gives the the mean error calculated applying the standard error propagation theory on the systematic uncertainties given in Col.~4--6, i.e., $\sigma_{\rm abn}^2$~(syst.)~= $\sigma_{\rm abn}^2$~(\Teff) + $\sigma_{\rm abn}^2$~(\logg) + $\sigma_{\rm abn}^2$~(\vmic). \end{table}