RETURN

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

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

Table 3241.

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 5.608746 .16032289
2 3p .755614 2.44206110
3 4p 1.929980 -1.03336633
4 5p 3.633889 -.14278862
5 3p 8.598441 -.01343672
6 5p .906620 -1.04271661
7 4p 44.664585 -.00003670
8 5p 28.985971 -.00023108
9 4p .515538 -.01110418
ORB.ENERGY,a.u. -.650600
NORM .999999
< R > 4.405594
< R2 > 21.954868
< 1/R > .315834
< 1/R**2 > .303684


j S nl j j ,r) C j
nl j α j 2p- electron
1 2p 3.849128 1.28964858
2 3p 4.580094 -.38130774
3 5p 71.906256 .00001304
4 2p 9.551364 .08637680
5 4p 11.166936 .01883444
6 4p 1.700875 .00278913
7 5p 1.649852 -.00239984
8 4p 15.975547 .00023427
ORB.ENERGY,a.u. -5.271300
NORM 1.000000
< R > .565834
< R2 > .398711
< 1/R > 2.308486
< 1/R**2 > 7.480585


j S nl j j ,r) C j
nl j α j 2s- electron
1 1s 10.654608 .34860925
2 2s 5.133579 -.82572065
3 3s 4.387037 -.30033102
4 4s 17.007218 .00496757
5 3s 15.344684 .00653783
6 5s 34.584047 .00025810
7 5s 4.343047 -.00439264
ORB.ENERGY,a.u. -6.075600
NORM 1.000000
< R > .602372
< R2 > .430775
< 1/R > 2.415839
< 1/R**2 > 24.012756


j S nl j j ,r) C j
nl j α j 1s- electron
1 1s 12.196893 .91350621
2 1s 18.071617 .08416236
3 2s 6.982549 .01941385
4 3s 8.829702 -.02060685
5 4s 11.196006 .01070784
6 5s 30.950224 .00095663
7 4s 73.048517 -.00004195
ORB.ENERGY,a.u. -59.102000
NORM 1.000000
< R > .120150
< R2 > .019414
< 1/R > 12.596093
< 1/R**2 > 320.395447


Total Energy= -236.28899027 a.u.

Kinetic Energy= 236.29331954 a.u.

Potential Energy= -472.58230981 a.u.

Virial Ratio = -1.99998168

***** TESTING *****

1.0 - <4p 4p> = .1141E-05

1.0 - <2p 2p> = -.2448E-08

1.0 - <2s 2s> = .2645E-07

1.0 - <1s 1s> = .1240E-07

<4p 2p> = .5631E-05

<2s 1s> = -.2933E-05

RETURN