RETURN

(1s 2 2s 2 2p 1 4s 1 ) 3 P             Al 7+

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

Table 3140.

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 4s- electron
1 1s 10.531392 .11383867
2 2s 2.571614 -1.58044298
3 3s 2.649604 3.17799792
4 4s 2.130133 -2.19737060
5 5s 8.913722 -.03264954
6 4s 11.794461 -.02795167
7 5s 17.666759 .00222754
8 5s 1.768050 .01346900
9 4s 44.132374 -.00008864
ORB.ENERGY,a.u. -2.336500
NORM 1.000001
< R > 2.582641
< R2 > 7.490921
< 1/R > .557840
< 1/R**2 > 2.484748


j S nl j j ,r) C j
nl j α j 2p- electron
1 2p 5.167212 1.08626824
2 3p 6.408792 -.10607559
3 2p 12.350175 .01862438
4 5p 14.406370 .00382238
5 4p 27.402644 -.00043422
6 5p 4.966717 .00630237
7 5p 88.572008 -.00000669
8 3p 2.759098 -.00184612
ORB.ENERGY,a.u. -11.638000
NORM 1.000000
< R > .472834
< R2 > .271113
< 1/R > 2.679465
< 1/R**2 > 9.745298


j S nl j j ,r) C j
nl j α j 2s- electron
1 1s 11.220984 .36224268
2 2s 4.897012 -.78966683
3 3s 6.752086 -.28160990
4 4s 24.975943 .00139628
5 5s 13.562899 -.01507219
6 5s 2.217729 .00244492
ORB.ENERGY,a.u. -11.507000
NORM 1.000000
< R > .539040
< R2 > .340321
< 1/R > 2.710758
< 1/R**2 > 29.752615


j S nl j j ,r) C j
nl j α j 1s- electron
1 1s 12.175962 .92419378
2 1s 18.834096 .07685397
3 2s 11.064487 .01772678
4 3s 13.829101 -.01632219
5 4s 69.956531 -.00005165
6 5s 30.238992 .00107409
7 5s 5.412120 .00017873
8 3s 1.344469 -.00016680
ORB.ENERGY,a.u. -67.248000
NORM 1.000000
< R > .119331
< R2 > .019089
< 1/R > 12.650163
< 1/R**2 > 322.513945


Total Energy= -206.09876609 a.u.

Kinetic Energy= 206.10333247 a.u.

Potential Energy= -412.20209857 a.u.

Virial Ratio = -1.99997784

***** TESTING *****

1.0 - <4s 4s> = -.6730E-06

1.0 - <2p 2p> = .7075E-08

1.0 - <2s 2s> = -.2080E-08

1.0 - <1s 1s> = -.4399E-08

<4s 2s> = .4146E-07

<4s 1s> = -.3349E-05

<2s 1s> = .8294E-07

RETURN