RETURN

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

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

Table 1140.

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 4s- electron
1 1s 12.067828 .05119138
2 2s 1.908184 -.80060103
3 3s 1.898773 1.94732748
4 4s 1.249424 -1.47019859
5 5s 2.722063 -.25605012
6 4s 8.802616 -.04520054
7 5s 16.018435 -.01138248
8 4s 21.644351 -.00422750
9 5s 55.085017 -.00008621
10 2s 71.204548 .00001492
ORB.ENERGY,a.u. -.742180
NORM 1.000000
< R > 4.076253
< R2 > 18.674847
< 1/R > .334696
< 1/R**2 > .816447


j S nl j j ,r) C j
nl j α j 2p- electron
1 2p 3.833527 1.30154643
2 3p 4.563743 -.39190942
3 2p 9.533686 .08683260
4 5p 77.907267 .00000998
5 4p 11.222255 .01852040
6 5p 2.743196 .01145020
7 4p 2.410488 -.01265821
ORB.ENERGY,a.u. -5.269800
NORM 1.000000
< R > .565872
< R2 > .398737
< 1/R > 2.308249
< 1/R**2 > 7.479000


j S nl j j ,r) C j
nl j α j 2s- electron
1 1s 11.704977 .30322925
2 2s 4.166134 -.76980981
3 3s 7.304453 -.23141360
4 4s 5.407863 -.05417580
5 5s 15.292261 -.00971261
6 5s 1.493823 -.01916852
7 4s 59.037663 -.00003123
8 3s 1.149104 .04605478
9 2s .944648 -.03380440
ORB.ENERGY,a.u. -6.075600
NORM 1.000000
< R > .601349
< R2 > .429391
< 1/R > 2.419741
< 1/R**2 > 24.083202


j S nl j j ,r) C j
nl j α j 1s- electron
1 1s 12.197317 .91359524
2 1s 18.060584 .08416473
3 2s 7.154811 .01869066
4 3s 9.070665 -.01960714
5 4s 11.387148 .01047049
6 5s 30.912081 .00090638
7 3s 48.243739 -.00010090
8 5s 1.554336 .00064970
9 4s 1.574416 -.00047469
ORB.ENERGY,a.u. -59.102000
NORM 1.000000
< R > .120149
< R2 > .019415
< 1/R > 12.596212
< 1/R**2 > 320.399791


Total Energy= -236.39016542 a.u.

Kinetic Energy= 236.38413983 a.u.

Potential Energy= -472.77430525 a.u.

Virial Ratio = -2.00002549

***** TESTING *****

1.0 - <4s 4s> = -.2894E-06

1.0 - <2p 2p> = .1922E-07

1.0 - <2s 2s> = .3961E-08

1.0 - <1s 1s> = -.6464E-08

<4s 2s> = -.6443E-06

<4s 1s> = .8364E-06

<2s 1s> = -.3039E-08

RETURN