RETURN

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

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

Table 3151.

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 5p- electron
1 2p 3.318023 .11362423
2 3p 1.407962 -1.05725395
3 4p 1.004844 3.04861947
4 5p .888636 -2.74664299
5 2p 7.170090 .04122422
6 5p 10.090160 .00355033
7 4p 25.429366 -.00021067
ORB.ENERGY,a.u. -.389170
NORM 1.000002
< R > 7.490076
< R2 > 63.090482
< 1/R > .189594
< 1/R**2 > .136931


j S nl j j ,r) C j
nl j α j 2p- electron
1 2p 3.842528 1.29816051
2 3p 4.584549 -.38724888
3 2p 9.555555 .08610344
4 4p 11.147113 .01908984
5 5p 21.860222 .00019050
6 5p 3.068120 .00823271
7 4p 49.477031 .00002537
8 4p 2.864293 -.01072095
ORB.ENERGY,a.u. -5.391000
NORM 1.000000
< R > .565375
< R2 > .397950
< 1/R > 2.309799
< 1/R**2 > 7.487651


j S nl j j ,r) C j
nl j α j 2s- electron
1 1s 10.647009 .34913392
2 2s 5.133906 -.82865030
3 3s 4.359224 -.30099298
4 4s 16.738294 .00526878
5 3s 15.442617 .00652331
6 5s 34.042155 .00029314
7 5s 3.643358 -.00076857
ORB.ENERGY,a.u. -6.075600
NORM 1.000000
< R > .602079
< R2 > .430299
< 1/R > 2.416911
< 1/R**2 > 24.032118


j S nl j j ,r) C j
nl j α j 1s- electron
1 1s 12.197191 .91349847
2 1s 18.069941 .08416739
3 2s 6.981920 .01941402
4 3s 8.831691 -.02060164
5 4s 11.201803 .01069357
6 5s 30.966593 .00096126
7 4s 73.140711 -.00004204
ORB.ENERGY,a.u. -59.102000
NORM 1.000000
< R > .120148
< R2 > .019413
< 1/R > 12.596280
< 1/R**2 > 320.402822


Total Energy= -236.03344514 a.u.

Kinetic Energy= 236.03194324 a.u.

Potential Energy= -472.06538838 a.u.

Virial Ratio = -2.00000636

***** TESTING *****

1.0 - <5p 5p> = -.1950E-05

1.0 - <2p 2p> = .2637E-07

1.0 - <2s 2s> = -.2139E-07

1.0 - <1s 1s> = .8239E-08

<5p 2p> = -.1596E-03

<2s 1s> = -.1615E-05

RETURN