RETURN

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

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

Table 3050.

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 5s- electron
1 1s 10.755466 .05709649
2 2s 3.492105 -.34588954
3 3s 1.735705 2.37848383
4 4s 1.549120 -4.44669344
5 5s 1.317327 2.92057120
6 4s 11.102574 -.00727909
7 5s 26.215494 .00010558
ORB.ENERGY,a.u. -.872420
NORM 1.000000
< R > 5.176140
< R2 > 29.982502
< 1/R > .272905
< 1/R**2 > .693477


j S nl j j ,r) C j
nl j α j 2p- electron
1 2p 4.777945 1.38041873
2 3p 6.165700 -.48112978
3 4p 7.583593 .09497988
4 5p 21.893692 -.00259328
5 4p 3.197507 .01374980
6 4p 28.210277 -.00136947
7 5p 3.239254 -.00707089
8 3p 1.996980 .00063321
9 3p 38.564740 -.00012983
ORB.ENERGY,a.u. -8.612900
NORM 1.000000
< R > .510634
< R2 > .319100
< 1/R > 2.508090
< 1/R**2 > 8.646086


j S nl j j ,r) C j
nl j α j 2s- electron
1 1s 11.388587 .33468773
2 2s 4.572570 -.78528853
3 3s 7.274649 -.24845829
4 4s 20.768489 .00379871
5 5s 6.598921 -.04953702
6 4s 1.245185 .02552223
7 5s 1.709308 -.02510387
8 2s 31.570471 -.00015091
ORB.ENERGY,a.u. -8.212200
NORM 1.000000
< R > .568689
< R2 > .381444
< 1/R > 2.562017
< 1/R**2 > 26.789826


j S nl j j ,r) C j
nl j α j 1s- electron
1 1s 12.168607 .92026932
2 1s 18.767518 .07845753
3 2s 11.115888 .01796362
4 3s 15.409836 -.01468772
5 4s 24.053733 .00300489
6 5s 41.709785 .00011862
7 5s 9.812364 .00104660
8 4s 1.459209 .00302855
9 3s 1.058603 -.00308951
ORB.ENERGY,a.u. -62.564000
NORM 1.000000
< R > .119829
< R2 > .019290
< 1/R > 12.616955
< 1/R**2 > 321.208033


Total Energy= -223.99699055 a.u.

Kinetic Energy= 223.99010873 a.u.

Potential Energy= -447.98709928 a.u.

Virial Ratio = -2.00003072

***** TESTING *****

1.0 - <5s 5s> = -.5493E-07

1.0 - <2p 2p> = .5202E-08

1.0 - <2s 2s> = -.3967E-07

1.0 - <1s 1s> = .6684E-08

<5s 2s> = .1043E-05

<5s 1s> = -.2887E-05

<2s 1s> = .3482E-06

RETURN