RETURN

(1s 2 2s 2 2p 6 5s 1 ) 2 S             Al 2+

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

Table 2050.

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 11.076856 .03209805
2 2s 3.750378 -.14668596
3 3s 1.499449 .67012013
4 4s .928695 -1.91946534
5 5s .753585 1.98350924
6 5s 6.718675 .01126926
7 4s 11.367781 -.00368086
ORB.ENERGY,a.u. -.266330
NORM 1.000000
< R > 8.482813
< R2 > 80.640455
< 1/R > .164106
< 1/R**2 > .252795


j S nl j j ,r) C j
nl j α j 2p- electron
1 2p 6.147533 .54196757
2 3p 4.659664 .45389699
3 4p 3.760726 .10140148
4 5p 4.494772 .00720419
5 2p 13.772783 .01119481
6 5p 10.931594 -.00863110
7 4p 45.770291 .00003261
8 4p 3.054287 .00316252
9 3p 66.545973 .00000439
ORB.ENERGY,a.u. -3.834300
NORM 1.000000
< R > .596315
< R2 > .447376
< 1/R > 2.215220
< 1/R**2 > 6.967615


j S nl j j ,r) C j
nl j α j 2s- electron
1 1s 10.770300 .33370008
2 4s 1.946250 -.00620315
3 2s 5.102465 -.79960440
4 3s 4.169060 -.32975381
5 4s 17.464363 .01131703
6 3s 28.025300 .00209728
7 5s 30.623569 .00124938
8 5s 2.138335 .00481758
9 2s 53.805027 .00006977
ORB.ENERGY,a.u. -5.537100
NORM 1.000000
< R > .619416
< R2 > .457685
< 1/R > 2.350446
< 1/R**2 > 22.819329


j S nl j j ,r) C j
nl j α j 1s- electron
1 1s 12.586519 1.01575138
2 2s 17.933108 -.02458947
3 3s 8.796191 .02359765
4 4s 40.479553 -.00023243
5 4s 30.232111 .00036111
6 2s 63.816715 .00003193
7 5s 10.843310 -.00897656
8 3s 4.328005 .00028095
9 2s 131.810074 -.00000019
ORB.ENERGY,a.u. -58.530000
NORM 1.000000
< R > .120257
< R2 > .019458
< 1/R > 12.589430
< 1/R**2 > 320.138359


Total Energy= -240.26644725 a.u.

Kinetic Energy= 240.26644740 a.u.

Potential Energy= -480.53289465 a.u.

Virial Ratio = -2.00000000

***** TESTING *****

1.0 - <5s 5s> = .1892E-08

1.0 - <2p 2p> = -.8699E-08

1.0 - <2s 2s> = -.8861E-07

1.0 - <1s 1s> = .1553E-08

<5s 2s> = .2278E-04

<5s 1s> = .4436E-06

<2s 1s> = .2245E-07

RETURN