RETURN

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

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

Table 1231.

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 3p- electron
1 2p 3.699040 .38068301
2 3p 1.703555 -1.02498188
3 4p 5.812926 -.06868401
4 2p 9.498639 .03162875
5 5p 15.469501 .00244327
6 4p 20.616965 .00025100
7 5p 2.441216 -.01802092
8 4p 1.522295 -.03296037
ORB.ENERGY,a.u. -1.276900
NORM 1.000000
< R > 2.166582
< R2 > 5.352691
< 1/R > .602802
< 1/R**2 > .785325


j S nl j j ,r) C j
nl j α j 2p- electron
1 2p 3.862735 1.29363154
2 3p 4.614584 -.38133611
3 2p 9.504048 .08552769
4 4p 11.219721 .01580606
5 4p 1.462995 .00477620
6 5p 1.717299 -.00516516
7 4p 22.904290 -.00030040
ORB.ENERGY,a.u. -4.963900
NORM 1.000000
< R > .566079
< R2 > .398870
< 1/R > 2.307020
< 1/R**2 > 7.471093


j S nl j j ,r) C j
nl j α j 2s- electron
1 1s 10.650964 .34828435
2 2s 5.131017 -.82701501
3 3s 4.352229 -.30188512
4 4s 16.660030 .00501870
5 3s 15.306227 .00679833
6 5s 33.457669 .00031369
7 5s 3.391606 -.00243866
ORB.ENERGY,a.u. -6.075600
NORM 1.000000
< R > .603355
< R2 > .432399
< 1/R > 2.412269
< 1/R**2 > 23.948323


j S nl j j ,r) C j
nl j α j 1s- electron
1 1s 12.196366 .91372796
2 1s 18.086766 .08394187
3 2s 7.002716 .01941239
4 3s 8.829117 -.02060202
5 4s 11.167322 .01076303
6 5s 31.079084 .00091733
7 4s 70.982794 -.00004255
ORB.ENERGY,a.u. -59.102000
NORM 1.000000
< R > .120160
< R2 > .019418
< 1/R > 12.595468
< 1/R**2 > 320.370873


Total Energy= -236.92455826 a.u.

Kinetic Energy= 236.91938875 a.u.

Potential Energy= -473.84394701 a.u.

Virial Ratio = -2.00002182

***** TESTING *****

1.0 - <3p 3p> = -.4901E-07

1.0 - <2p 2p> = -.4813E-07

1.0 - <2s 2s> = -.6160E-07

1.0 - <1s 1s> = .1872E-08

<3p 2p> = .1543E-06

<2s 1s> = -.5484E-06

RETURN