RETURN

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

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

Table 3152.

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 5d- electron
1 3d 1.088327 1.19980242
2 4d .866449 -4.04106895
3 5d .812494 3.49870785
4 3d 2.427750 .09659039
5 5d 3.693191 -.02513127
6 4d 7.460342 .00603902
7 5d 14.296870 .00009222
8 3d 10.449732 .00105426
ORB.ENERGY,a.u. -.333390
NORM .999997
< R > 8.221000
< R2 > 76.968624
< 1/R > .173526
< 1/R**2 > .067365


j S nl j j ,r) C j
nl j α j 2p- electron
1 2p 3.839183 1.29944946
2 3p 4.571244 -.38990980
3 2p 9.535840 .08670447
4 4p 11.213079 .01858315
5 5p 77.568062 .00001005
6 5p 2.664969 .01062697
7 4p 2.331153 -.01162206
ORB.ENERGY,a.u. -5.404400
NORM 1.000000
< R > .565473
< R2 > .398132
< 1/R > 2.309630
< 1/R**2 > 7.487084


j S nl j j ,r) C j
nl j α j 2s- electron
1 1s 10.645493 .34926500
2 2s 5.137151 -.82785191
3 3s 4.361946 -.30188362
4 4s 16.833265 .00522955
5 3s 15.396167 .00651156
6 5s 34.401772 .00028498
7 5s 3.626895 -.00085138
ORB.ENERGY,a.u. -6.075600
NORM 1.000000
< R > .602005
< R2 > .430199
< 1/R > 2.417280
< 1/R**2 > 24.039277


j S nl j j ,r) C j
nl j α j 1s- electron
1 1s 12.197340 .91349990
2 1s 18.070382 .08416444
3 2s 6.985513 .01939808
4 3s 8.837567 -.02058873
5 4s 11.208717 .01068123
6 5s 31.069988 .00096720
7 4s 73.100783 -.00003959
ORB.ENERGY,a.u. -59.102000
NORM 1.000000
< R > .120144
< R2 > .019412
< 1/R > 12.596509
< 1/R**2 > 320.411970


Total Energy= -235.97330844 a.u.

Kinetic Energy= 235.97626620 a.u.

Potential Energy= -471.94957463 a.u.

Virial Ratio = -1.99998747

***** TESTING *****

1.0 - <5d 5d> = .3310E-05

1.0 - <2p 2p> = -.2024E-07

1.0 - <2s 2s> = .2956E-09

1.0 - <1s 1s> = .4205E-08

<2s 1s> = .9698E-06

RETURN