RETURN

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

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

Table 5040.

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 10.898665 .08918536
2 2s 2.490546 -1.20806384
3 3s 2.412355 2.51800873
4 4s 1.699079 -1.71990129
5 5s 3.536190 -.24482036
6 4s 10.946639 -.02654659
7 5s 14.751957 .00434013
8 5s 55.495605 -.00006052
9 5s 1.426600 .01569361
ORB.ENERGY,a.u. -1.464000
NORM 1.000000
< R > 3.096352
< R2 > 10.770747
< 1/R > .460256
< 1/R**2 > 1.725908


j S nl j j ,r) C j
nl j α j 2p- electron
1 2p 4.768874 1.38565891
2 3p 6.162381 -.48833858
3 4p 7.648990 .09648738
4 5p 22.359924 -.00248119
5 4p 3.138876 .01434453
6 4p 29.114119 -.00120616
7 5p 3.128949 -.00785738
8 3p 2.142201 .00065993
9 3p 40.538673 -.00010401
ORB.ENERGY,a.u. -8.475100
NORM 1.000000
< R > .511057
< R2 > .319714
< 1/R > 2.506562
< 1/R**2 > 8.636780


j S nl j j ,r) C j
nl j α j 2s- electron
1 1s 10.409315 .38202841
2 2s 5.376454 -.85936050
3 3s 4.854624 -.29029400
4 4s 21.820717 .00221129
5 3s 12.086757 .02017984
6 5s 3.327966 -.00696560
7 4s 1.668851 .00921896
ORB.ENERGY,a.u. -8.212200
NORM 1.000000
< R > .570226
< R2 > .383330
< 1/R > 2.555293
< 1/R**2 > 26.662037


j S nl j j ,r) C j
nl j α j 1s- electron
1 1s 12.169472 .91844208
2 1s 18.561896 .08070319
3 2s 10.171143 .01818278
4 3s 14.630668 -.01522363
5 4s 22.429137 .00322750
6 5s 40.353139 .00028100
7 5s 7.039320 .00026694
8 4s 1.524586 -.00234739
9 3s 1.270876 .00205664
ORB.ENERGY,a.u. -62.564000
NORM 1.000000
< R > .119819
< R2 > .019283
< 1/R > 12.617528
< 1/R**2 > 321.229194


Total Energy= -224.56985629 a.u.

Kinetic Energy= 224.58079314 a.u.

Potential Energy= -449.15064944 a.u.

Virial Ratio = -1.99995130

***** TESTING *****

1.0 - <4s 4s> = .6162E-07

1.0 - <2p 2p> = -.2911E-07

1.0 - <2s 2s> = .4785E-08

1.0 - <1s 1s> = -.1110E-07

<4s 2s> = .3380E-06

<4s 1s> = .4909E-06

<2s 1s> = -.2544E-07

RETURN