RETURN

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

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

Table 3030.

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 3s- electron
1 1s 9.508721 .24401041
2 2s 4.181987 -1.21045395
3 3s 3.462322 1.80421128
4 4s 6.355725 -.12121167
5 5s 11.157038 -.02523597
6 4s 21.666942 .00296743
7 5s 3.259544 -.00834938
8 3s 29.433961 .00029328
ORB.ENERGY,a.u. -6.166200
NORM 1.000000
< R > 1.229114
< R2 > 1.708351
< 1/R > 1.175268
< 1/R**2 > 8.227867


j S nl j j ,r) C j
nl j α j 2s- electron
1 1s 10.915032 .40324179
2 2s 5.346162 -.79509729
3 3s 6.781605 -.29805090
4 5s 11.823448 -.02822332
5 4s 22.518929 .00349969
6 5s 6.511993 .01125201
7 3s 30.274809 .00027770
8 4s 3.303379 .00020594
ORB.ENERGY,a.u. -15.369000
NORM 1.000000
< R > .510951
< R2 > .304606
< 1/R > 2.882578
< 1/R**2 > 33.545181


j S nl j j ,r) C j
nl j α j 1s- electron
1 1s 12.433326 .94048617
2 1s 20.055756 .04886772
3 2s 15.001101 .01478276
4 3s 8.247392 .00313594
5 4s 51.981315 -.00052586
6 5s 69.206515 .00019125
7 5s 6.040726 .00458528
8 4s 5.128979 -.00540687
ORB.ENERGY,a.u. -71.915000
NORM 1.000000
< R > .119043
< R2 > .018983
< 1/R > 12.671626
< 1/R**2 > 323.397459


Total Energy= -183.30388415 a.u.

Kinetic Energy= 183.34137531 a.u.

Potential Energy= -366.64525946 a.u.

Virial Ratio = -1.99979551

***** TESTING *****

1.0 - <3s 3s> = .5629E-08

1.0 - <2s 2s> = .3069E-07

1.0 - <1s 1s> = .2886E-08

<3s 2s> = -.1325E-07

<3s 1s> = .3937E-06

<2s 1s> = -.4895E-07

RETURN