RETURN

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

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

Table 1241.

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 5.556402 .15695171
2 3p .777329 2.35000583
3 4p 1.893166 -1.08417136
4 5p 3.556219 -.14898489
5 3p 8.172825 -.01613426
6 5p .913755 -.89253676
7 4p 26.784100 -.00037274
8 5p 37.868245 .00011484
9 4p .386710 -.00157422
ORB.ENERGY,a.u. -.644420
NORM 1.000000
< R > 4.450254
< R2 > 22.391617
< 1/R > .310163
< 1/R**2 > .285343


j S nl j j ,r) C j
nl j α j 2p- electron
1 2p 3.844782 1.28746872
2 3p 4.565558 -.37978693
3 2p 9.577032 .08646436
4 4p 11.247589 .01986819
5 5p 25.498414 .00020214
6 5p 1.206288 .00060203
7 4p 47.181921 .00004263
8 3p .894068 .00055167
ORB.ENERGY,a.u. -5.265100
NORM 1.000000
< R > .565532
< R2 > .398191
< 1/R > 2.309200
< 1/R**2 > 7.484039


j S nl j j ,r) C j
nl j α j 2s- electron
1 1s 10.655267 .34857948
2 2s 5.132963 -.82567312
3 3s 4.387412 -.30031311
4 4s 17.104094 .00490197
5 3s 15.299404 .00654631
6 5s 34.955934 .00024568
7 5s 4.330026 -.00434150
ORB.ENERGY,a.u. -6.075600
NORM 1.000000
< R > .602361
< R2 > .430755
< 1/R > 2.415865
< 1/R**2 > 24.013140


j S nl j j ,r) C j
nl j α j 1s- electron
1 1s 12.197042 .91350124
2 1s 18.070162 .08416558
3 2s 6.980767 .01942141
4 3s 8.827187 -.02061298
5 4s 11.193872 .01071031
6 5s 30.895461 .00095660
7 4s 73.120506 -.00004356
ORB.ENERGY,a.u. -59.102000
NORM 1.000000
< R > .120150
< R2 > .019414
< 1/R > 12.596095
< 1/R**2 > 320.395491


Total Energy= -236.28904739 a.u.

Kinetic Energy= 236.28715019 a.u.

Potential Energy= -472.57619758 a.u.

Virial Ratio = -2.00000803

***** TESTING *****

1.0 - <4p 4p> = .2525E-06

1.0 - <2p 2p> = -.8813E-08

1.0 - <2s 2s> = .4793E-08

1.0 - <1s 1s> = .8914E-09

<4p 2p> = .3623E-06

<2s 1s> = -.3095E-05

RETURN