RETURN

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

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

Table 1142.

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 1.086457 1.61536419
2 4d .997509 -2.11005890
3 3d 5.762915 .00557578
4 4d 2.966964 .00353141
5 5d 12.609096 -.00014509
ORB.ENERGY,a.u. -.503000
NORM 1.000000
< R > 5.211526
< R2 > 31.072384
< 1/R > .253080
< 1/R**2 > .103970


j S nl j j ,r) C j
nl j α j 2p- electron
1 2p 3.848667 1.29766150
2 3p 4.588348 -.38651781
3 2p 9.538850 .08595435
4 3p 41.005102 .00002605
5 5p 2.910305 .00139880
6 4p 11.233698 .01808905
7 4p 3.335362 -.00335165
8 3p .696818 .00017087
ORB.ENERGY,a.u. -5.270400
NORM 1.000000
< R > .565085
< R2 > .397473
< 1/R > 2.310653
< 1/R**2 > 7.492334


j S nl j j ,r) C j
nl j α j 2s- electron
1 1s 10.644462 .34927750
2 2s 5.137767 -.82783360
3 3s 4.361884 -.30192163
4 4s 16.730960 .00530652
5 3s 15.403177 .00651401
6 5s 34.276888 .00030352
7 5s 3.681576 -.00107313
ORB.ENERGY,a.u. -6.075600
NORM 1.000000
< R > .602087
< R2 > .430338
< 1/R > 2.417003
< 1/R**2 > 24.034422


j S nl j j ,r) C j
nl j α j 1s- electron
1 1s 12.197340 .91349757
2 1s 18.069721 .08416731
3 2s 6.984054 .01940391
4 3s 8.836104 -.02059185
5 4s 11.207377 .01068376
6 5s 31.018878 .00096556
7 4s 73.160672 -.00004088
ORB.ENERGY,a.u. -59.102000
NORM 1.000000
< R > .120145
< R2 > .019412
< 1/R > 12.596444
< 1/R**2 > 320.409399


Total Energy= -236.15849973 a.u.

Kinetic Energy= 236.14586258 a.u.

Potential Energy= -472.30436231 a.u.

Virial Ratio = -2.00005351

***** TESTING *****

1.0 - <4d 4d> = .2763E-07

1.0 - <2p 2p> = .3026E-07

1.0 - <2s 2s> = -.1183E-08

1.0 - <1s 1s> = .1220E-07

<2s 1s> = .1756E-06

RETURN