RETURN

(1s 2 2s 2 2p 5 4d 1 ) 3 P             Al 3+

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

Table 3142.

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 4d- electron
1 3d 1.213437 1.14739647
2 4d 1.018056 -1.68969326
3 3d 4.280225 .04370721
4 4d 2.803042 .05069009
5 5d 7.053165 -.00331022
6 4d 26.440694 .00003284
ORB.ENERGY,a.u. -.525040
NORM 1.000000
< R > 4.928062
< R2 > 27.977960
< 1/R > .276030
< 1/R**2 > .133004


j S nl j j ,r) C j
nl j α j 2p- electron
1 2p 3.829421 1.30285452
2 3p 4.556073 -.39437039
3 2p 9.519432 .08749802
4 4p 11.192427 .01873757
5 5p 78.479684 .00000981
6 5p 2.622318 .01252594
7 4p 2.270277 -.01344321
ORB.ENERGY,a.u. -5.292400
NORM 1.000000
< R > .565804
< R2 > .398708
< 1/R > 2.308785
< 1/R**2 > 7.482819


j S nl j j ,r) C j
nl j α j 2s- electron
1 1s 10.642996 .34932432
2 2s 5.138750 -.82802632
3 3s 4.357114 -.30212985
4 4s 16.688267 .00536499
5 3s 15.455986 .00651575
6 5s 33.984146 .00030305
7 5s 3.462023 -.00087851
ORB.ENERGY,a.u. -6.075600
NORM 1.000000
< R > .602164
< R2 > .430478
< 1/R > 2.416791
< 1/R**2 > 24.030939


j S nl j j ,r) C j
nl j α j 1s- electron
1 1s 12.197340 .91350181
2 1s 18.071044 .08416153
3 2s 6.986928 .01939340
4 3s 8.839017 -.02058557
5 4s 11.210081 .01067877
6 5s 31.118524 .00096870
7 4s 73.029861 -.00003834
ORB.ENERGY,a.u. -59.102000
NORM 1.000000
< R > .120143
< R2 > .019412
< 1/R > 12.596566
< 1/R**2 > 320.414272


Total Energy= -236.16161944 a.u.

Kinetic Energy= 236.16791017 a.u.

Potential Energy= -472.32952961 a.u.

Virial Ratio = -1.99997336

***** TESTING *****

1.0 - <4d 4d> = -.3110E-06

1.0 - <2p 2p> = .7679E-07

1.0 - <2s 2s> = -.1830E-07

1.0 - <1s 1s> = -.1193E-08

<2s 1s> = .1800E-05

RETURN