RETURN

(1s 2 2s 2 2p 3 3s 1 ) 5 S             Mg 4+

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

Table 5030.

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 3s- electron
1 1s 10.185279 .14075499
2 2s 3.596714 -.61424028
3 3s 2.144638 1.22380518
4 4s 8.721610 -.04246844
5 5s 15.377932 -.00361681
6 2s 24.176619 .00023954
7 4s 29.986727 .00004836
8 4s 1.034278 .00030645
ORB.ENERGY,a.u. -2.120800
NORM 1.000000
< R > 1.795198
< R2 > 3.667982
< 1/R > .787616
< 1/R**2 > 3.804726


j S nl j j ,r) C j
nl j α j 2p- electron
1 2p 4.299256 1.40167405
2 3p 5.662481 -.51014433
3 4p 7.159368 .09995517
4 4p 18.578061 -.00278727
5 5p 3.475696 .02075501
6 3p 23.392162 -.00053513
7 5p 2.900706 -.00938903
8 3p 1.875454 .00337894
ORB.ENERGY,a.u. -6.217300
NORM 1.000000
< R > .572478
< R2 > .402853
< 1/R > 2.246932
< 1/R**2 > 6.970715


j S nl j j ,r) C j
nl j α j 2s- electron
1 1s 9.664872 .36725130
2 2s 4.875550 -.85046679
3 3s 4.301346 -.28992482
4 4s 20.219147 .00236012
5 3s 11.071010 .02184878
6 5s 3.077831 -.01547957
7 4s 1.906929 -.00337046
ORB.ENERGY,a.u. -6.256600
NORM 1.000000
< R > .636474
< R2 > .480966
< 1/R > 2.290336
< 1/R**2 > 21.483959


j S nl j j ,r) C j
nl j α j 1s- electron
1 1s 11.170792 .90982218
2 1s 16.969965 .08930469
3 2s 9.336729 .01811900
4 3s 13.276552 -.01452492
5 4s 20.878270 .00290983
6 5s 35.134561 .00034658
7 5s 2.853592 .00068528
8 4s 5.081372 .00037323
ORB.ENERGY,a.u. -52.023000
NORM 1.000000
< R > .130149
< R2 > .022760
< 1/R > 11.621848
< 1/R**2 > 272.696726


Total Energy= -188.94686511 a.u.

Kinetic Energy= 188.97828396 a.u.

Potential Energy= -377.92514906 a.u.

Virial Ratio = -1.99983374

***** TESTING *****

1.0 - <3s 3s> = .2770E-06

1.0 - <2p 2p> = -.5597E-08

1.0 - <2s 2s> = -.3348E-07

1.0 - <1s 1s> = .5223E-08

<3s 2s> = .1599E-07

<3s 1s> = -.2726E-06

<2s 1s> = .7354E-07

RETURN