\begin{table}%[h]%t1
    %\centering
\caption{\label{tab_energy}The level energies (Ryd) for ions
over the sequence.} 
\begin{tabular}{ccccccccccccccc} \hline\hline
 ID &  Level       &  Mg    &  Si    & S      &  Ar    &   Ca    &   Ti    &   Cr    &   Fe    &   Ni    &   Zn    &  Ge     & Se      & Kr
 \\ \hline
  1 & 3s $^2\rmS_{1/2} $& 0.0000 & 0.0000 & 0.0000 & 0.0000 &  0.0000 &  0.0000 &  0.0000 &  0.0000 &  0.0000 &  0.0000 &  0.0000 &  0.0000 &  0.0000 \\
  2 & 3p $^2\rmP_{1/2} $& 0.3137 & 0.6425 & 0.9610 & 1.2749 &  1.5867 &  1.8978 &  2.2092 &  2.5191 &  2.8347 &  3.1498 &  3.4669 &  3.7863 &  4.1084 \\
  3 & 3p $^2\rmP_{3/2} $& 0.3143 & 0.6459 & 0.9712 & 1.2974 &  1.6295 &  1.9717 &  2.3280 &  2.7022 &  3.1001 &  3.5252 &  3.9832 &  4.4799 &  5.0215 \\
  4 & 3d $^2\rmD_{3/2} $& 0.6316 & 1.4470 & 2.2482 & 3.0305 &  3.8047 &  4.5800 &  5.3640 &  6.1636 &  6.9832 &  7.8304 &  8.7107 &  9.6305 & 10.5965 \\
  5 & 3d $^2\rmD_{5/2} $& 0.6316 & 1.4471 & 2.2489 & 3.0326 &  3.8096 &  4.5900 &  5.3822 &  6.1940 &  7.0307 &  7.9015 &  8.8132 &  9.7734 & 10.7908 \\
  6 & 4s $^2\rmS_{1/2} $& 0.6183 & 1.7460 & 3.2854 & 5.2269 &  7.5690 & 10.3126 & 13.4595 & 17.0215 & 20.9747 & 25.3499 & 30.1425 & 35.3572 & 40.9992 \\
  7 & 4p $^2\rmP_{1/2} $& 0.7147 & 1.9660 & 3.6327 & 5.7030 &  8.1749 & 11.0490 & 14.3271 & 18.0164 & 22.1069 & 26.6157 & 31.5427 & 36.8927 & 42.6710 \\
  8 & 4p $^2\rmP_{3/2} $& 0.7149 & 1.9672 & 3.6363 & 5.7113 &  8.1909 & 11.0768 & 14.3722 & 18.0859 & 22.2083 & 26.7594 & 31.7404 & 37.1580 & 43.0199 \\
  9 & 4d $^2\rmD_{3/2} $& 0.8283 & 2.2540 & 4.0934 & 6.3339 &  8.9764 & 12.0241 & 15.4808 & 19.3561 & 23.6398 & 28.3529 & 33.4965 & 39.0775 & 45.1034 \\
 10 & 4d $^2\rmD_{5/2} $& 0.8283 & 2.2540 & 4.0937 & 6.3348 &  8.9786 & 12.0285 & 15.4887 & 19.3692 & 23.6602 & 28.3832 & 33.5400 & 39.1380 & 45.1855 \\
 11 & 4f $^2\rmF_{5/2} $& 0.8312 & 2.2862 & 4.1853 & 6.5032 &  9.2332 & 12.3748 & 15.9302 & 19.9104 & 24.2985 & 29.1221 & 34.3806 & 40.0812 & 46.2322 \\
 12 & 4f $^2\rmF_{7/2} $& 0.8312 & 2.2863 & 4.1854 & 6.5035 &  9.2339 & 12.3763 & 15.9329 & 19.9150 & 24.3058 & 29.1333 & 34.3970 & 40.1046 & 46.2644 \\
 13 & 5s $^2\rmS_{1/2} $& 0.8241 & 2.3917 & 4.5651 & 7.3283 & 10.6779 & 14.6145 & 19.1401 & 24.2648 & 29.9732 & 36.2899 & 43.2140 & 50.7520 & 58.9107 \\
 14 & 5p $^2\rmP_{1/2} $& 0.8659 & 2.4924 & 4.7284 & 7.5559 & 10.9709 & 14.9735 & 19.5657 & 24.7572 & 30.5334 & 36.9181 & 43.9107 & 51.5175 & 59.7456 \\
 15 & 5p $^2\rmP_{3/2} $& 0.8660 & 2.4929 & 4.7301 & 7.5598 & 10.9786 & 14.9869 & 19.5875 & 24.7908 & 30.5825 & 36.9877 & 44.0063 & 51.6456 & 59.9135 \\
 16 & 5d $^2\rmD_{3/2} $& 0.9196 & 2.6287 & 4.9470 & 7.8564 & 11.3542 & 15.4414 & 20.1210 & 25.4035 & 31.2747 & 37.7596 & 44.8583 & 52.5781 & 60.9271 \\
 17 & 5d $^2\rmD_{5/2} $& 0.9196 & 2.6287 & 4.9472 & 7.8569 & 11.3553 & 15.4437 & 20.1251 & 25.4102 & 31.2851 & 37.7751 & 44.8805 & 52.6089 & 60.9687 \\
 18 & 5f $^2\rmF_{5/2} $& 0.9212 & 2.6464 & 4.9959 & 7.9448 & 11.4864 & 15.6203 & 20.3486 & 25.6826 & 31.6051 & 38.1441 & 45.2991 & 53.0775 & 61.4875 \\
 19 & 5f $^2\rmF_{7/2} $& 0.9212 & 2.6464 & 4.9960 & 7.9449 & 11.4868 & 15.6210 & 20.3500 & 25.6850 & 31.6088 & 38.1499 & 45.3076 & 53.0894 & 61.5040 \\
 20 & 5g $^2\rmG_{7/2} $& 0.9212 & 2.6468 & 4.9978 & 7.9494 & 11.4950 & 15.6340 & 20.3684 & 25.7097 & 31.6400 & 38.1882 & 45.3532 & 53.1429 & 61.5655 \\
 21 & 5g $^2\rmG_{9/2} $& 0.9212 & 2.6468 & 4.9978 & 7.9495 & 11.4952 & 15.6344 & 20.3692 & 25.7111 & 31.6423 & 38.1916 & 45.3582 & 53.1499 & 61.5752 \\
 22 & 6s $^2\rmS_{1/2} $& 0.9178 & 2.7020 & 5.1972 & 8.3842 & 12.2584 & 16.8199 & 22.0711 & 28.0225 & 34.6579 & 42.0038 & 50.0594 & 58.8319 & 68.3289 \\
 23 & 6p $^2\rmP_{1/2} $& 0.9396 & 2.7562 & 5.2867 & 8.5102 & 12.4217 & 17.0211 & 22.3104 & 28.3003 & 34.9746 & 42.3596 & 50.4546 & 59.2666 & 68.8035 \\
 24 & 6p $^2\rmP_{3/2} $& 0.9396 & 2.7565 & 5.2876 & 8.5124 & 12.4260 & 17.0285 & 22.3225 & 28.3188 & 35.0018 & 42.3979 & 50.5071 & 59.3367 & 68.8949 \\
 25 & 6d $^2\rmD_{3/2} $& 0.9691 & 2.8315 & 5.4078 & 8.6771 & 12.6351 & 17.2822 & 22.6208 & 28.6620 & 35.3898 & 42.8312 & 50.9858 & 59.8610 & 69.4652 \\
 26 & 6d $^2\rmD_{5/2} $& 0.9691 & 2.8315 & 5.4079 & 8.6774 & 12.6358 & 17.2835 & 22.6231 & 28.6658 & 35.3958 & 42.8401 & 50.9984 & 59.8786 & 69.4888 \\
 27 & 6f $^2\rmF_{5/2} $& 0.9701 & 2.8420 & 5.4365 & 8.7286 & 12.7116 & 17.3852 & 22.7514 & 28.8217 & 35.5786 & 43.0505 & 51.2369 & 60.1451 & 69.7837 \\
 28 & 6f $^2\rmF_{7/2} $& 0.9701 & 2.8421 & 5.4366 & 8.7286 & 12.7118 & 17.3856 & 22.7522 & 28.8231 & 35.5808 & 43.0539 & 51.2417 & 60.1520 & 69.7932 \\
 29 & 6g $^2\rmG_{7/2} $& 0.9701 & 2.8423 & 5.4378 & 8.7317 & 12.7173 & 17.3942 & 22.7644 & 28.8394 & 35.6013 & 43.0789 & 51.2716 & 60.1868 & 69.8331 \\
 30 & 6g $^2\rmG_{9/2} $& 0.9701 & 2.8423 & 5.4378 & 8.7317 & 12.7175 & 17.3945 & 22.7649 & 28.8402 & 35.6026 & 43.0809 & 51.2744 & 60.1909 & 69.8387 \\
 31 & 6h $^2\rmH_{9/2} $& 0.9701 & 2.8423 & 5.4379 & 8.7318 & 12.7176 & 17.3948 & 22.7653 & 28.8408 & 35.6034 & 43.0820 & 51.2758 & 60.1925 & 69.8407 \\
 32 & 6h $^2\rmH_{11/2}$& 0.9701 & 2.8423 & 5.4379 & 8.7318 & 12.7177 & 17.3949 & 22.7657 & 28.8414 & 35.6043 & 43.0833 & 51.2777 & 60.1952 & 69.8444 \\
\hline
\end{tabular}
\end{table}