RETURN

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

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

Table 3252.

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 1.020795 1.50364610
2 4d .855112 -4.55007492
3 5d .803715 3.72254592
4 3d 2.555915 .06700278
5 5d 3.835731 -.02023916
6 4d 7.672234 .00486420
7 5d 14.694863 .00005020
8 3d 10.568486 .00088390
ORB.ENERGY,a.u. -.327620
NORM 1.000005
< R > 8.373917
< R2 > 79.841192
< 1/R > .169653
< 1/R**2 > .063226


j S nl j j ,r) C j
nl j α j 2p- electron
1 2p 3.839545 1.29887040
2 3p 4.573190 -.38911205
3 2p 9.531701 .08685453
4 4p 11.201476 .01863850
5 5p 78.351801 .00000985
6 5p 2.757994 .01192929
7 4p 2.427768 -.01328988
ORB.ENERGY,a.u. -5.398600
NORM 1.000000
< R > .565387
< R2 > .398000
< 1/R > 2.309899
< 1/R**2 > 7.488565


j S nl j j ,r) C j
nl j α j 2s- electron
1 1s 10.645709 .34925918
2 2s 5.137016 -.82786950
3 3s 4.362208 -.30185426
4 4s 16.822686 .00523683
5 3s 15.405401 .00651012
6 5s 34.368252 .00028501
7 5s 3.609251 -.00084493
ORB.ENERGY,a.u. -6.075600
NORM 1.000000
< R > .601994
< R2 > .430179
< 1/R > 2.417315
< 1/R**2 > 24.039888


j S nl j j ,r) C j
nl j α j 1s- electron
1 1s 12.197340 .91349919
2 1s 18.070162 .08416541
3 2s 6.985094 .01939954
4 3s 8.837078 -.02058983
5 4s 11.208258 .01068236
6 5s 31.054050 .00096665
7 4s 73.116646 -.00004002
ORB.ENERGY,a.u. -59.102000
NORM 1.000000
< R > .120145
< R2 > .019412
< 1/R > 12.596489
< 1/R**2 > 320.411168


Total Energy= -235.97341767 a.u.

Kinetic Energy= 235.97048729 a.u.

Potential Energy= -471.94390495 a.u.

Virial Ratio = -2.00001242

***** TESTING *****

1.0 - <5d 5d> = -.5390E-05

1.0 - <2p 2p> = .3404E-08

1.0 - <2s 2s> = .5924E-08

1.0 - <1s 1s> = -.6011E-09

<2s 1s> = .7423E-06

RETURN