RETURN

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

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

Table 3132.

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 3d- electron
1 3d 1.469753 1.14902961
2 3d 4.474150 .04204727
3 4d 1.922001 -.18705330
4 5d 7.092920 -.00371126
5 4d 26.484863 .00004112
6 5d 1.379496 .02993163
ORB.ENERGY,a.u. -.940590
NORM 1.000000
< R > 2.389965
< R2 > 6.634260
< 1/R > .501283
< 1/R**2 > .315486


j S nl j j ,r) C j
nl j α j 2p- electron
1 2p 3.764309 1.31672442
2 3p 4.442005 -.41732178
3 2p 9.360277 .09543336
4 4p 11.004957 .01969944
5 3p 21.669435 .00006576
6 5p 2.572695 .01470718
7 4p 2.288591 -.01612352
8 5p 35.234840 -.00008785
ORB.ENERGY,a.u. -5.045200
NORM 1.000000
< R > .566718
< R2 > .400369
< 1/R > 2.306592
< 1/R**2 > 7.471956


j S nl j j ,r) C j
nl j α j 2s- electron
1 1s 10.640851 .34929716
2 2s 5.140932 -.82789453
3 3s 4.354400 -.30223854
4 4s 16.460226 .00560725
5 3s 15.618133 .00647154
6 5s 33.193308 .00032668
7 5s 3.457828 -.00186976
ORB.ENERGY,a.u. -6.075600
NORM 1.000000
< R > .602543
< R2 > .431170
< 1/R > 2.415724
< 1/R**2 > 24.013333


j S nl j j ,r) C j
nl j α j 1s- electron
1 1s 12.197489 .91350019
2 1s 18.070603 .08416242
3 2s 6.989222 .01938295
4 3s 8.842683 -.02057688
5 4s 11.214927 .01067159
6 5s 31.152959 .00097181
7 4s 73.013576 -.00003775
ORB.ENERGY,a.u. -59.102000
NORM 1.000000
< R > .120141
< R2 > .019411
< 1/R > 12.596711
< 1/R**2 > 320.420036


Total Energy= -236.56755803 a.u.

Kinetic Energy= 236.58353428 a.u.

Potential Energy= -473.15109230 a.u.

Virial Ratio = -1.99993247

***** TESTING *****

1.0 - <3d 3d> = .4840E-07

1.0 - <2p 2p> = .3682E-07

1.0 - <2s 2s> = .1375E-07

1.0 - <1s 1s> = -.1084E-07

<2s 1s> = .3120E-05

RETURN