RETURN

(1s 2 2s 2 5s 1 ) 2 S             Al 8+

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 10.046550 .09321653
2 2s 2.261636 -1.97963808
3 3s 2.127002 7.76836746
4 4s 2.139946 -9.06900188
5 5s 1.841204 3.70898883
6 5s 14.942467 -.00506796
7 4s 7.656567 -.04054347
8 5s 1.053146 -.00780656
9 4s 27.427165 -.00002781
10 4s .696104 .00231152
ORB.ENERGY,a.u. -1.769200
NORM .999998
< R > 3.825927
< R2 > 16.380796
< 1/R > .381097
< 1/R**2 > 1.434175


j S nl j j ,r) C j
nl j α j 2s- electron
1 1s 10.965369 .38616148
2 2s 5.239323 -.78440651
3 3s 6.614228 -.29606730
4 5s 12.447742 -.01960115
5 4s 25.329598 .00341514
6 5s 6.591025 -.00483119
7 5s 36.420321 -.00061542
8 4s 2.189888 .00252740
9 3s 1.760966 -.00264640
ORB.ENERGY,a.u. -14.140000
NORM 1.000000
< R > .524458
< R2 > .321383
< 1/R > 2.791375
< 1/R**2 > 31.406539


j S nl j j ,r) C j
nl j α j 1s- electron
1 1s 12.272983 .94157544
2 1s 20.159562 .05669365
3 2s 13.095471 .01992338
4 3s 14.992705 -.01619928
5 5s 28.341203 .00114660
6 4s 63.491037 -.00008906
ORB.ENERGY,a.u. -71.544000
NORM 1.000000
< R > .119025
< R2 > .018971
< 1/R > 12.671171
< 1/R**2 > 323.348357


Total Energy= -193.41120305 a.u.

Kinetic Energy= 193.41120505 a.u.

Potential Energy= -386.82240809 a.u.

Virial Ratio = -1.99999999

***** TESTING *****

1.0 - <5s 5s> = .1502E-05

1.0 - <2s 2s> = -.2341E-07

1.0 - <1s 1s> = -.7942E-09

<5s 2s> = -.2969E-05

<5s 1s> = .3583E-05

<2s 1s> = -.5210E-06

RETURN