(1s 2 2s 2 2p 5 5s 1 ) 1 P Mg 2+
F( r ) = Σ j C j S nl ( α j ,r) Y l,m ( r )
Table 1150.
N.V.Novikov // Wave Function Value Database;
http://cdfe.sinp.msu.ru/services/wftables/
| j | S nl j (α j ,r) | C j | |
| nl j | α j | 5s- electron | |
| 1 | 1s | 10.713842 | .03008637 | 
| 2 | 2s | 3.188073 | -.13328518 | 
| 3 | 3s | 1.387186 | .76892301 | 
| 4 | 4s | .899906 | -2.10034294 | 
| 5 | 5s | .736980 | 2.07749626 | 
| 6 | 5s | 9.528305 | -.01127808 | 
| 7 | 4s | 12.294963 | -.00870115 | 
| 8 | 5s | 30.191854 | -.00033748 | 
| 9 | 4s | 44.917699 | -.00008662 | 
| ORB.ENERGY,a.u. | -.258230 | ||
| NORM | 1.000000 | < R > | 8.747678 | < R2 > | 85.731495 | < 1/R > | .158170 | < 1/R**2 > | .219978 | 
| j | S nl j (α j ,r) | C j | |
| nl j | α j | 2p- electron | |
| 1 | 2p | 3.345256 | 1.34775525 | 
| 2 | 3p | 4.018414 | -.44391661 | 
| 3 | 2p | 8.646953 | .09234040 | 
| 4 | 4p | 10.030831 | .02118457 | 
| 5 | 3p | 17.335907 | .00007720 | 
| 6 | 5p | 2.362666 | .01519104 | 
| 7 | 4p | 2.073425 | -.01639723 | 
| 8 | 5p | 31.692067 | -.00010430 | 
| ORB.ENERGY,a.u. | -3.791600 | ||
| NORM | 1.000000 | < R > | .640174 | < R2 > | .513312 | < 1/R > | 2.053872 | < 1/R**2 > | 5.963904 | 
| j | S nl j (α j ,r) | C j | |
| nl j | α j | 2s- electron | |
| 1 | 1s | 10.957127 | .28816423 | 
| 2 | 2s | 3.597798 | -.76837009 | 
| 3 | 3s | 6.961255 | -.22979614 | 
| 4 | 4s | 5.838732 | -.05549912 | 
| 5 | 5s | 13.935946 | -.01003756 | 
| 6 | 5s | .654074 | .03369702 | 
| 7 | 4s | .553319 | -.03654841 | 
| 8 | 3s | 46.831954 | -.00018047 | 
| 9 | 2s | .309713 | .00487380 | 
| 10 | 3s | 49.724385 | .00012710 | 
| ORB.ENERGY,a.u. | -4.396500 | ||
| NORM | 1.000000 | < R > | .668842 | < R2 > | .533184 | < 1/R > | 2.172357 | < 1/R**2 > | 19.436631 | 
| j | S nl j (α j ,r) | C j | |
| nl j | α j | 1s- electron | |
| 1 | 1s | 11.193295 | .90715792 | 
| 2 | 1s | 16.609462 | .09137155 | 
| 3 | 2s | 6.133059 | .01893653 | 
| 4 | 3s | 7.762764 | -.02080211 | 
| 5 | 4s | 9.882397 | .01073418 | 
| 6 | 5s | 28.728578 | .00102409 | 
| 7 | 4s | 67.486961 | -.00004302 | 
| ORB.ENERGY,a.u. | -49.033000 | 
| NORM | 1.000000 | < R > | .130495 | < R2 > | .022911 | < 1/R > | 11.603207 | < 1/R**2 > | 272.033847 | 
Total Energy= -196.20034007 a.u.
Kinetic Energy= 196.19850785 a.u.
Potential Energy= -392.39884791 a.u.
Virial Ratio = -2.00000934