RETURN

(1s 2 2s 2 2p 5 4p 1 ) 1 S             Al 3+

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

Table 1041.

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 4p- electron
1 2p 4.991588 .12145615
2 3p .891404 2.06354359
3 4p 1.722055 -1.44666060
4 5p 3.167572 -.17769796
5 3p 7.125363 -.02593351
6 5p .886606 -.23773390
7 4p 22.017292 -.00026148
8 3p .591530 .05316177
9 5p 66.194259 -.00000816
ORB.ENERGY,a.u. -.610200
NORM .999997
< R > 4.726679
< R2 > 25.146084
< 1/R > .273439
< 1/R**2 > .163292


j S nl j j ,r) C j
nl j α j 2p- electron
1 2p 3.942654 1.29295039
2 3p 4.792830 -.36792451
3 2p 9.742965 .07438606
4 4p 10.875521 .01362125
5 5p 1.292941 .01980459
6 4p 1.684359 -.01565585
7 5p 16.275174 .00191432
8 3p .814336 .00597216
ORB.ENERGY,a.u. -5.230900
NORM 1.000000
< R > .564427
< R2 > .401237
< 1/R > 2.313636
< 1/R**2 > 7.505351


j S nl j j ,r) C j
nl j α j 2s- electron
1 1s 10.645735 .34907211
2 2s 5.122630 -.83340986
3 3s 4.277599 -.30643405
4 4s 17.040770 .00493978
5 3s 15.271759 .00672587
6 5s 34.879636 .00024101
7 5s 4.878134 .01131037
ORB.ENERGY,a.u. -6.075600
NORM 1.000000
< R > .602277
< R2 > .430599
< 1/R > 2.416072
< 1/R**2 > 24.016270


j S nl j j ,r) C j
nl j α j 1s- electron
1 1s 12.197042 .91349995
2 1s 18.070368 .08416657
3 2s 6.980737 .01942085
4 3s 8.828884 -.02060851
5 4s 11.195262 .01070744
6 5s 30.926806 .00095750
7 4s 73.103119 -.00004284
ORB.ENERGY,a.u. -49.033000
NORM 1.000000
< R > .120150
< R2 > .019414
< 1/R > 12.596126
< 1/R**2 > 320.396885


Total Energy= -236.27464908 a.u.

Kinetic Energy= 236.25300324 a.u.

Potential Energy= -472.52765232 a.u.

Virial Ratio = -2.00009162

***** TESTING *****

1.0 - <4p 4p> = .2541E-05

1.0 - <2p 2p> = .2865E-07

1.0 - <2s 2s> = -.1626E-07

1.0 - <1s 1s> = -.9249E-08

<4p 2p> = -.7450E-07

<2s 1s> = -.2965E-05

RETURN