RETURN

(1s 2 2s 2 2p 5 3d 1 ) 1 F             Al 3+

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

Table 1332.

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 3d- electron
1 3d 1.434398 1.10149608
2 3d 4.601589 .03256751
3 4d 1.916765 -.13528487
4 5d 7.114326 -.00351622
5 4d 26.660114 .00003254
6 5d 1.374814 .03001336
ORB.ENERGY,a.u. -.921480
NORM 1.000000
< R > 2.464664
< R2 > 7.024418
< 1/R > .482973
< 1/R**2 > .290246


j S nl j j ,r) C j
nl j α j 2p- electron
1 2p 3.784408 1.31159643
2 3p 4.474469 -.40940124
3 2p 9.398939 .09334565
4 4p 11.050238 .01933012
5 3p 22.007440 .00006928
6 5p 2.628885 .01438434
7 4p 2.346726 -.01596403
8 5p 35.342191 -.00008548
ORB.ENERGY,a.u. -5.026100
NORM 1.000000
< R > .566154
< R2 > .399408
< 1/R > 2.308103
< 1/R**2 > 7.479775


j S nl j j ,r) C j
nl j α j 2s- electron
1 1s 10.642538 .34923209
2 2s 5.139529 -.82775310
3 3s 4.356480 -.30214594
4 4s 16.604154 .00545396
5 3s 15.521839 .00650110
6 5s 33.727344 .00030715
7 5s 3.439469 -.00177717
ORB.ENERGY,a.u. -6.075600
NORM 1.000000
< R > .602476
< R2 > .431045
< 1/R > 2.415885
< 1/R**2 > 24.015860


j S nl j j ,r) C j
nl j α j 1s- electron
1 1s 12.197489 .91349608
2 1s 18.069721 .08416613
3 2s 6.986035 .01939629
4 3s 8.838326 -.02058714
5 4s 11.210857 .01067733
6 5s 31.087563 .00096923
7 4s 73.079715 -.00003946
ORB.ENERGY,a.u. -59.102000
NORM 1.000000
< R > .120143
< R2 > .019411
< 1/R > 12.596609
< 1/R**2 > 320.415966


Total Energy= -236.56842099 a.u.

Kinetic Energy= 236.56442366 a.u.

Potential Energy= -473.13284466 a.u.

Virial Ratio = -2.00001690

***** TESTING *****

1.0 - <3d 3d> = .3183E-07

1.0 - <2p 2p> = -.4610E-07

1.0 - <2s 2s> = -.3861E-09

1.0 - <1s 1s> = -.2372E-08

<2s 1s> = .2004E-05

RETURN