RETURN

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

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

Table 1151.

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 3.336372 .11401585
2 3p 1.405080 -1.06220248
3 4p 1.006854 3.03796244
4 5p .888226 -2.72931213
5 2p 7.205492 .04045045
6 5p 10.256052 .00347368
7 4p 25.883138 -.00019192
ORB.ENERGY,a.u. -.389170
NORM 1.000003
< R > 7.490079
< R2 > 63.090538
< 1/R > .189595
< 1/R**2 > .136931


j S nl j j ,r) C j
nl j α j 2p- electron
1 2p 3.840410 1.29926677
2 3p 4.573489 -.38929337
3 2p 9.520916 .08680774
4 4p 11.211140 .01820352
5 3p 41.709438 .00002528
6 5p 2.811906 .00779183
7 4p 2.564023 -.00915319
8 3p .349569 -.00016804
ORB.ENERGY,a.u. -5.391000
NORM 1.000000
< R > .565375
< R2 > .397953
< 1/R > 2.309799
< 1/R**2 > 7.487652


j S nl j j ,r) C j
nl j α j 2s- electron
1 1s 10.650765 .34895038
2 2s 5.133516 -.82762915
3 3s 4.367457 -.30108088
4 4s 16.913395 .00513339
5 3s 15.439344 .00651262
6 5s 34.449389 .00025382
7 5s 3.978552 -.00147112
ORB.ENERGY,a.u. -6.075600
NORM 1.000000
< R > .602079
< R2 > .430299
< 1/R > 2.416911
< 1/R**2 > 24.032121


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= -236.03344455 a.u.

Kinetic Energy= 236.03195277 a.u.

Potential Energy= -472.06539732 a.u.

Virial Ratio = -2.00000632

***** TESTING *****

1.0 - <5p 5p> = -.3321E-05

1.0 - <2p 2p> = .3194E-07

1.0 - <2s 2s> = -.6131E-08

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

<5p 2p> = -.3558E-04

<2s 1s> = -.1590E-05

RETURN