RETURN

(1s 2 2s 2 2p 3 3s 1 ) 3 S             Al 5+

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

Table 3030.

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 10.919208 .12955039
2 2s 3.661973 -.67087546
3 3s 2.427323 1.31253981
4 4s 10.051430 -.02209744
5 5s 17.403837 -.00241152
6 3s 119.183228 .00000844
7 5s 2.441596 -.00395611
8 4s 65.217291 .00003695
ORB.ENERGY,a.u. -2.816900
NORM 1.000000
< R > 1.636413
< R2 > 3.007153
< 1/R > .818237
< 1/R**2 > 3.733012


j S nl j j ,r) C j
nl j α j 2p- electron
1 2p 4.765808 1.38134120
2 3p 6.167318 -.48494948
3 4p 7.590852 .09721300
4 5p 23.944242 -.00238129
5 4p 3.167282 .01152706
6 4p 33.555854 -.00078564
7 5p 3.021387 -.00743347
8 3p 2.099725 .00332313
9 5p 108.071946 -.00001346
ORB.ENERGY,a.u. -8.076400
NORM 1.000000
< R > .512396
< R2 > .321410
< 1/R > 2.500639
< 1/R**2 > 8.599974


j S nl j j ,r) C j
nl j α j 2s- electron
1 1s 11.447913 .33387379
2 2s 4.494899 -.79001759
3 3s 7.392516 -.25486029
4 4s 20.772188 .00363928
5 3s 2.292499 .02105725
6 5s 6.904728 -.04524021
7 2s 28.405950 -.00022499
8 4s 1.950040 -.00111283
ORB.ENERGY,a.u. -8.212200
NORM 1.000000
< R > .564303
< R2 > .373647
< 1/R > 2.577117
< 1/R**2 > 27.061992


j S nl j j ,r) C j
nl j α j 1s- electron
1 1s 12.195051 .93029431
2 1s 19.443761 .06786207
3 2s 12.561168 .01726397
4 3s 16.613101 -.01377752
5 4s 25.631009 .00274659
6 5s 3.234574 -.00102588
7 5s 11.081253 .00223401
ORB.ENERGY,a.u. -62.564000
NORM 1.000000
< R > .119858
< R2 > .019299
< 1/R > 12.615066
< 1/R**2 > 321.132648


Total Energy= -225.97497353 a.u.

Kinetic Energy= 225.93081537 a.u.

Potential Energy= -451.90578890 a.u.

Virial Ratio = -2.00019545

***** TESTING *****

1.0 - <3s 3s> = .8505E-07

1.0 - <2p 2p> = -.4688E-08

1.0 - <2s 2s> = .1386E-07

1.0 - <1s 1s> = .1678E-07

<3s 2s> = .2960E-07

<3s 1s> = .3089E-06

<2s 1s> = .2610E-06

RETURN