RETURN

(1s 2 2s 2 2p 2 4p 1 ) 4 S             Al 6+

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

Table 4041.

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 4p- electron
1 2p 5.896181 .19668674
2 3p 1.450092 -.51095030
3 5p 2.033426 1.45618661
4 4p 3.052196 -.73340587
5 4p 64.137941 -.00004680
6 5p 7.457351 .03134471
7 4p 17.389620 -.00279173
8 5p 1.684381 .23506155
9 5p 40.575264 -.00025837
ORB.ENERGY,a.u. -1.723400
NORM 1.000001
< R > 2.927568
< R2 > 9.672242
< 1/R > .461586
< 1/R**2 > .531047


j S nl j j ,r) C j
nl j α j 2p- electron
1 2p 5.057574 1.26451285
2 3p 6.753241 -.28405103
3 5p 2.134547 .08086773
4 4p 2.036922 -.06322132
5 5p 10.269496 .02256796
6 4p 21.094769 -.00372943
7 5p 45.073161 -.00006344
8 3p 1.177117 .00334667
9 3p 30.360754 -.00041897
ORB.ENERGY,a.u. -9.968500
NORM 1.000000
< R > .489167
< R2 > .296382
< 1/R > 2.606270
< 1/R**2 > 9.260738


j S nl j j ,r) C j
nl j α j 2s- electron
1 1s 10.508912 .38800887
2 2s 5.416858 -.83561074
3 3s 5.652390 -.27288175
4 4s 21.525411 .00243298
5 3s 12.454397 .01706970
6 5s 5.607911 -.03978087
7 4s 1.508037 .00014110
ORB.ENERGY,a.u. -9.388200
NORM 1.000000
< R > .554136
< R2 > .360596
< 1/R > 2.632214
< 1/R**2 > 28.171138


j S nl j j ,r) C j
nl j α j 1s- electron
1 1s 12.158484 .91999159
2 1s 18.808707 .07950100
3 2s 11.272643 .01920537
4 3s 14.402912 -.01548678
5 5s 30.689242 .00111233
6 4s 73.235579 -.00003940
7 5s 9.900266 .00055745
ORB.ENERGY,a.u. -64.512000
NORM 1.000000
< R > .119610
< R2 > .019198
< 1/R > 12.631376
< 1/R**2 > 321.773898


Total Energy= -215.96002510 a.u.

Kinetic Energy= 215.95313263 a.u.

Potential Energy= -431.91315774 a.u.

Virial Ratio = -2.00003192

***** TESTING *****

1.0 - <4p 4p> = -.8040E-06

1.0 - <2p 2p> = .1536E-07

1.0 - <2s 2s> = .1797E-07

1.0 - <1s 1s> = .1020E-07

<4p 2p> = -.3795E-06

<2s 1s> = .5156E-06

RETURN