RETURN

(1s 2 2s 1 4s 1 ) 3 S             Al 9+

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

Table 3040.

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 9.699204 .15141338
2 2s 2.982855 -1.70059845
3 3s 2.663847 4.88317031
4 4s 2.604141 -4.05586489
5 5s 4.485272 .15680744
6 4s 8.453210 -.05208801
7 5s 25.539281 .00112220
8 4s 35.408048 .00019053
ORB.ENERGY,a.u. -3.367200
NORM 1.000002
< R > 2.237098
< R2 > 5.621163
< 1/R > .652001
< 1/R**2 > 3.366062


j S nl j j ,r) C j
nl j α j 2s- electron
1 1s 10.739128 .41219285
2 2s 5.514271 -.79394253
3 3s 6.576819 -.30222259
4 5s 11.452169 -.02823449
5 4s 22.986295 .00675515
6 5s 30.388404 -.00173044
7 4s 79.997988 .00002278
ORB.ENERGY,a.u. -15.695000
NORM 1.000000
< R > .511457
< R2 > .305121
< 1/R > 2.877298
< 1/R**2 > 33.401125


j S nl j j ,r) C j
nl j α j 1s- electron
1 1s 12.433275 .94068188
2 1s 20.084040 .04876170
3 2s 15.106219 .01473687
4 3s 9.318020 .00216695
5 4s 51.131524 -.00054829
6 5s 67.724448 .00020098
7 5s 2.113671 .00018889
ORB.ENERGY,a.u. -71.915000
NORM 1.000000
< R > .119009
< R2 > .018969
< 1/R > 12.673996
< 1/R**2 > 323.494346


Total Energy= -180.53678370 a.u.

Kinetic Energy= 180.54877493 a.u.

Potential Energy= -361.08555863 a.u.

Virial Ratio = -1.99993358

***** TESTING *****

1.0 - <4s 4s> = -.1515E-05

1.0 - <2s 2s> = -.1448E-07

1.0 - <1s 1s> = .1356E-07

<4s 2s> = -.1749E-05

<4s 1s> = .8165E-05

<2s 1s> = -.1819E-06

RETURN