RETURN

(1s 2 2s 2 2p 5 4p 1 ) 3 P             Al 3+

F( r ) = Σ j   C j   S nl ( α j ,r) Y l,m ( r )

Table 3141.

N.V.Novikov // Wave Function Value Database;

http://cdfe.sinp.msu.ru/services/wftables/

j S nl j j ,r) C j
nl j α j 4p- electron
1 2p 5.571616 .15766475
2 3p .742037 2.51407871
3 4p 1.902799 -1.05091135
4 5p .896690 -1.10107641
5 5p 3.575727 -.14033183
6 3p 8.291389 -.01509100
7 4p 26.263375 -.00040174
8 5p 36.934433 .00012339
9 4p .550822 -.02124360
ORB.ENERGY,a.u. -.642980
NORM 1.000001
< R > 4.455521
< R2 > 22.451721
< 1/R > .310775
< 1/R**2 > .289474


j S nl j j ,r) C j
nl j α j 2p- electron
1 2p 3.831872 1.30351438
2 3p 4.558162 -.39393661
3 2p 9.521442 .08702133
4 4p 11.233072 .01818366
5 3p 40.569239 .00002629
6 5p 2.868564 .00129273
7 4p 3.369653 -.00312007
8 3p .632592 .00019442
ORB.ENERGY,a.u. -5.263700
NORM 1.000000
< R > .565636
< R2 > .398375
< 1/R > 2.309012
< 1/R**2 > 7.483294


j S nl j j ,r) C j
nl j α j 2s- electron
1 1s 10.655189 .34858385
2 2s 5.132991 -.82567498
3 3s 4.387413 -.30031217
4 4s 17.113613 .00489538
5 3s 15.290254 .00655182
6 5s 35.005852 .00024482
7 5s 4.328000 -.00434840
ORB.ENERGY,a.u. -6.075600
NORM 1.000000
< R > .602362
< R2 > .430758
< 1/R > 2.415867
< 1/R**2 > 24.013214


j S nl j j ,r) C j
nl j α j 1s- electron
1 1s 12.196893 .91350607
2 1s 18.071617 .08416234
3 2s 6.982550 .01941427
4 3s 8.829796 -.02060661
5 4s 11.195980 .01070780
6 5s 30.949802 .00095664
7 4s 73.049009 -.00004196
ORB.ENERGY,a.u. -59.102000
NORM 1.000000
< R > .120150
< R2 > .019414
< 1/R > 12.596091
< 1/R**2 > 320.395355


Total Energy= -236.28906093 a.u.

Kinetic Energy= 236.28571207 a.u.

Potential Energy= -472.57477300 a.u.

Virial Ratio = -2.00001417

***** TESTING *****

1.0 - <4p 4p> = -.5345E-06

1.0 - <2p 2p> = -.1163E-07

1.0 - <2s 2s> = .4208E-07

1.0 - <1s 1s> = -.1417E-07

<4p 2p> = -.7284E-05

<2s 1s> = -.2894E-05

RETURN