RETURN

(1s 2 2s 1 5s 1 ) 1 S             Al 9+

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

Table 1050.

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 1.411907 1.06341093
2 2s 1.704339 -8.98957578
3 3s 2.539661 9.46016654
4 4s 1.973428 -8.48585809
5 5s 2.033617 8.46373776
6 5s 4.269037 -.03537783
7 1s 15.024393 .00856301
8 5s 15.612863 -.00374282
9 4s 10.912377 .00915788
ORB.ENERGY,a.u. -2.107800
NORM .999996
< R > 3.559604
< R2 > 14.181244
< 1/R > .382551
< 1/R**2 > .928407


j S nl j j ,r) C j
nl j α j 2s- electron
1 1s 12.270264 .34127572
2 2s 3.285605 -.83073656
3 3s 7.606481 -.59233789
4 4s 4.275769 .47669545
5 5s 1.733308 .82574038
6 5s 18.548853 -.00398006
7 4s 1.493242 -1.02222254
8 4s 30.390495 -.00175209
9 3s 1.169430 .21261681
10 3s 42.311604 -.00067455
11 2s 60.941545 -.00007964
ORB.ENERGY,a.u. -15.861000
NORM 1.000000
< R > .516599
< R2 > .347032
< 1/R > 2.905175
< 1/R**2 > 34.089334


j S nl j j ,r) C j
nl j α j 1s- electron
1 1s 12.433634 .94100672
2 1s 20.155851 .04837103
3 2s 15.261074 .01480635
4 3s 9.386070 .00219475
5 4s 50.421087 -.00058069
6 5s 66.557194 .00021580
7 5s 5.146915 .00264629
8 4s 4.090353 -.00263658
9 3s .929255 .00024788
ORB.ENERGY,a.u. -71.915000
NORM 1.000000
< R > .118990
< R2 > .018963
< 1/R > 12.675280
< 1/R**2 > 323.545964


Total Energy= -179.30135587 a.u.

Kinetic Energy= 179.29187515 a.u.

Potential Energy= -358.59323102 a.u.

Virial Ratio = -2.00005288

***** TESTING *****

1.0 - <5s 5s> = .3743E-05

1.0 - <2s 2s> = .4586E-07

1.0 - <1s 1s> = -.2695E-09

<5s 2s> = -.2375E-05

<5s 1s> = -.1772E-04

<2s 1s> = -.9749E-06

RETURN