RETURN

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

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

Table 1150.

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 11.433960 .03740724
2 2s 3.476428 -.17793399
3 3s 1.620377 .99504831
4 4s 1.132195 -2.52848052
5 5s .947764 2.30892149
6 5s 10.635188 -.01208352
7 4s 13.743989 -.00863408
8 5s 34.677030 -.00030980
9 4s 51.533399 -.00007716
ORB.ENERGY,a.u. -.435050
NORM .999998
< R > 6.923865
< R2 > 53.682402
< 1/R > .201359
< 1/R**2 > .371219


j S nl j j ,r) C j
nl j α j 2p- electron
1 2p 3.842025 1.29874927
2 3p 4.578673 -.38827259
3 2p 9.542230 .08634206
4 4p 11.219176 .01849981
5 5p 77.941092 .00000996
6 5p 2.795466 .01119193
7 4p 2.479474 -.01264760
ORB.ENERGY,a.u. -5.392400
NORM 1.000000
< R > .565464
< R2 > .398083
< 1/R > 2.309505
< 1/R**2 > 7.485979


j S nl j j ,r) C j
nl j α j 2s- electron
1 1s 11.762917 .30085409
2 2s 4.079438 -.77407193
3 3s 7.481409 -.23108379
4 4s 6.047258 -.05219076
5 5s 15.266703 -.00924197
6 5s .846682 .03563693
7 4s .722297 -.04000398
8 3s 49.913047 -.00012690
9 2s .429512 .00630220
10 3s 54.797786 .00007817
ORB.ENERGY,a.u. -6.075600
NORM 1.000000
< R > .601677
< R2 > .430024
< 1/R > 2.418594
< 1/R**2 > 24.062833


j S nl j j ,r) C j
nl j α j 1s- electron
1 1s 12.196658 .91387478
2 1s 18.100219 .08378469
3 2s 7.195657 .01897534
4 3s 9.079050 -.01989786
5 4s 11.336625 .01048379
6 5s 31.193576 .00091777
7 4s 70.914051 -.00004207
8 5s 1.643041 .00003919
ORB.ENERGY,a.u. -59.102000
NORM 1.000000
< R > .120147
< R2 > .019413
< 1/R > 12.596343
< 1/R**2 > 320.405205


Total Energy= -236.08013407 a.u.

Kinetic Energy= 236.07749603 a.u.

Potential Energy= -472.15763009 a.u.

Virial Ratio = -2.00001117

***** TESTING *****

1.0 - <5s 5s> = .2220E-05

1.0 - <2p 2p> = -.3218E-07

1.0 - <2s 2s> = -.4278E-08

1.0 - <1s 1s> = .3464E-10

<5s 2s> = -.1029E-06

<5s 1s> = .1625E-03

<2s 1s> = -.5759E-06

RETURN