RETURN

(1s 2 2s 2 2p 6 ) 1 S             Al 3+

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

Table 1021.

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 2p- electron
1 2p 3.732316 1.29703233
2 3p 4.590209 -.39110558
3 2p 9.394336 .08803121
4 4p 10.549961 .01777346
5 5p 3.499399 .01386168
6 5p 16.754596 .00136185
ORB.ENERGY,a.u. -4.356900
NORM 1.000000
< R > .596026
< R2 > .446866
< 1/R > 2.215964
< 1/R**2 > 6.971502


j S nl j j ,r) C j
nl j α j 2s- electron
1 1s 10.702886 .33686372
2 2s 5.058981 -.81575986
3 3s 4.101788 -.31820520
4 4s 17.310789 .00674901
5 3s 17.603530 .00357179
6 5s 2.732276 -.00824103
7 5s 37.232149 .00017404
8 3s 2.124636 .01184062
ORB.ENERGY,a.u. -6.075600
NORM 1.000000
< R > .619380
< R2 > .457608
< 1/R > 2.350506
< 1/R**2 > 22.819954


j S nl j j ,r) C j
nl j α j 1s- electron
1 1s 12.192296 .91396350
2 1s 18.098551 .08374305
3 2s 6.589804 .02051398
4 3s 8.390709 -.02182277
5 4s 10.881053 .01136325
6 5s 30.892134 .00081194
7 4s 67.335641 -.00005279
ORB.ENERGY,a.u. -49.033000
NORM 1.000000
< R > .120257
< R2 > .019458
< 1/R > 12.589428
< 1/R**2 > 320.138570


Total Energy= -240.00034659 a.u.

Kinetic Energy= 240.00035424 a.u.

Potential Energy= -480.00070083 a.u.

Virial Ratio = -1.99999997

***** TESTING *****

1.0 - <2p 2p> = .8944E-08

1.0 - <2s 2s> = .2341E-07

1.0 - <1s 1s> = .1031E-07

<2s 1s> = .4757E-06

RETURN