RETURN

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

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

Table 3150.

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 5s- electron
1 1s 11.318396 .04027370
2 2s 3.638564 -.17985216
3 3s 1.650657 .95666171
4 4s 1.143842 -2.45011032
5 5s .952773 2.26208987
6 5s 10.802993 -.01276760
7 4s 14.010261 -.00779443
8 5s 36.740573 -.00024446
9 4s 54.752724 -.00005861
ORB.ENERGY,a.u. -.438740
NORM 1.000000
< R > 6.866970
< R2 > 52.804738
< 1/R > .204930
< 1/R**2 > .411520


j S nl j j ,r) C j
nl j α j 2p- electron
1 2p 3.860853 1.28789061
2 3p 4.601566 -.37785883
3 2p 9.543824 .08565743
4 3p 40.761512 .00002609
5 4p 11.234435 .01809463
6 5p 2.812070 .00097902
7 4p 1.612602 -.00018518
ORB.ENERGY,a.u. -5.396100
NORM 1.000000
< R > .565481
< R2 > .398118
< 1/R > 2.309487
< 1/R**2 > 7.485931


j S nl j j ,r) C j
nl j α j 2s- electron
1 1s 11.766273 .30057275
2 2s 4.076760 -.77451372
3 3s 7.471103 -.23109241
4 4s 6.058212 -.05074759
5 5s 15.285323 -.00945535
6 5s 1.684131 .00276648
7 4s 2.138994 -.00197334
8 4s 58.554241 -.00003211
9 3s .635189 -.00192768
ORB.ENERGY,a.u. -6.075600
NORM 1.000000
< R > .602016
< R2 > .430268
< 1/R > 2.417282
< 1/R**2 > 24.039635


j S nl j j ,r) C j
nl j α j 1s- electron
1 1s 12.197340 .91352047
2 1s 18.065934 .08418135
3 2s 6.890770 .01958547
4 3s 8.720599 -.02094315
5 4s 11.122944 .01079412
6 5s 31.046051 .00097015
7 4s 73.245402 -.00003941
ORB.ENERGY,a.u. -59.102000
NORM 1.000000
< R > .120145
< R2 > .019412
< 1/R > 12.596459
< 1/R**2 > 320.409636


Total Energy= -236.08021745 a.u.

Kinetic Energy= 236.08119841 a.u.

Potential Energy= -472.16141586 a.u.

Virial Ratio = -1.99999584

***** TESTING *****

1.0 - <5s 5s> = .4360E-07

1.0 - <2p 2p> = -.6248E-07

1.0 - <2s 2s> = .9050E-08

1.0 - <1s 1s> = .8436E-08

<5s 2s> = .8694E-06

<5s 1s> = -.6153E-04

<2s 1s> = .1354E-05

RETURN