RETURN

(1s 2 2s 1 4s 1 ) 1 S             Al 9+

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

Table 1040.

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 4s- electron
1 1s 8.871487 .10705702
2 2s 2.788733 -1.55427182
3 3s 2.690037 4.47959672
4 4s 2.584580 -3.70158474
5 5s 4.139808 .24149270
6 4s 7.037140 -.08405170
7 5s 27.204033 .00090425
8 4s 38.428013 .00015478
ORB.ENERGY,a.u. -3.344400
NORM .999998
< R > 2.244825
< R2 > 5.639225
< 1/R > .575449
< 1/R**2 > 1.499019


j S nl j j ,r) C j
nl j α j 2s- electron
1 1s 12.495822 .33788920
2 2s 3.057513 -.84567664
3 3s 7.514657 -.65194847
4 4s 4.185443 .58170638
5 5s 2.447797 -.16131211
6 5s 16.973082 -.00740289
7 4s 26.265981 -.00049460
8 4s 1.657480 .05135724
9 2s 46.655278 .00005427
10 5s 1.427072 -.01541857
11 3s .876109 .00468703
ORB.ENERGY,a.u. -15.672000
NORM 1.000000
< R > .515978
< R2 > .348892
< 1/R > 2.949817
< 1/R**2 > 35.191851


j S nl j j ,r) C j
nl j α j 1s- electron
1 1s 12.433756 .94090306
2 1s 20.292833 .04790661
3 2s 15.620432 .01507832
4 3s 10.352270 .00244808
5 4s 49.945655 -.00060909
6 5s 65.819535 .00022834
7 5s 5.644655 .00044663
8 4s 2.106349 -.00034568
ORB.ENERGY,a.u. -71.915000
NORM 1.000000
< R > .118997
< R2 > .018965
< 1/R > 12.674802
< 1/R**2 > 323.525842


Total Energy= -180.54271088 a.u.

Kinetic Energy= 180.52610996 a.u.

Potential Energy= -361.06882084 a.u.

Virial Ratio = -2.00009196

***** TESTING *****

1.0 - <4s 4s> = .1830E-05

1.0 - <2s 2s> = .3345E-07

1.0 - <1s 1s> = .9531E-08

<4s 2s> = .2386E-06

<4s 1s> = -.9937E-06

<2s 1s> = -.8540E-07

RETURN