RETURN

(1s 2 2s 2 2p 4 3s 1 ) 4 P             Al 4+

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

Table 4130.

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 11.109664 .12957570
2 2s 3.833880 -.54689332
3 3s 2.210868 1.19143678
4 4s 9.330699 -.04609437
5 5s 16.119715 -.00526087
6 3s 13.952430 -.00502751
7 4s 1.218109 .00328291
8 5s 1.191391 -.00151925
ORB.ENERGY,a.u. -2.207800
NORM 1.000000
< R > 1.730347
< R2 > 3.400814
< 1/R > .803374
< 1/R**2 > 3.894923


j S nl j j ,r) C j
nl j α j 2p- electron
1 2p 4.110495 1.26895895
2 2p 9.970852 .06845698
3 3p 4.842800 -.34216981
4 4p 11.487233 .01454444
5 5p 31.077950 -.00015339
6 5p 3.266358 .01174961
7 4p 2.924286 -.01169877
ORB.ENERGY,a.u. -6.237900
NORM 1.000000
< R > .539749
< R2 > .360109
< 1/R > 2.398489
< 1/R**2 > 7.996166


j S nl j j ,r) C j
nl j α j 2s- electron
1 1s 11.578563 .31550025
2 2s 4.225400 -.84522229
3 3s 7.081812 -.21399368
4 4s 2.800770 -.03214818
5 5s 14.869874 -.01270033
6 4s 50.375049 -.00045701
7 3s 2.671078 .03238449
8 4s .711317 -.00200792
9 3s 36.025145 .00070586
10 4s 102.447709 -.00003438
11 5s .827292 .00187285
ORB.ENERGY,a.u. -7.107500
NORM 1.000000
< R > .589177
< R2 > .411934
< 1/R > 2.475049
< 1/R**2 > 25.142485


j S nl j j ,r) C j
nl j α j 1s- electron
1 1s 12.251933 .92098464
2 1s 18.177478 .07628123
3 2s 4.405863 .04004791
4 3s 4.886227 -.05362152
5 4s 5.425469 .02175661
6 5s 31.879526 .00086122
7 4s 69.601803 -.00004124
8 5s 2.879729 .00038122
ORB.ENERGY,a.u. -60.759000
NORM 1.000000
< R > .119994
< R2 > .019351
< 1/R > 12.606028
< 1/R**2 > 320.778210


Total Energy= -232.23168999 a.u.

Kinetic Energy= 232.25171959 a.u.

Potential Energy= -464.48340958 a.u.

Virial Ratio = -1.99991376

***** TESTING *****

1.0 - <3s 3s> = -.9792E-07

1.0 - <2p 2p> = -.3540E-08

1.0 - <2s 2s> = -.1166E-07

1.0 - <1s 1s> = .1748E-08

<3s 2s> = -.1406E-06

<3s 1s> = .3615E-06

<2s 1s> = .1761E-08

RETURN