RETURN

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

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

Table 1051.

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 2.523505 .15530197
2 3p 1.214987 -1.59906257
3 4p .992390 3.66443010
4 5p .860216 -2.84360484
5 2p 7.778229 .01959850
6 5p 11.314852 .00139524
7 4p 28.104886 -.00006319
ORB.ENERGY,a.u. -.373290
NORM 1.000001
< R > 7.827961
< R2 > 68.802541
< 1/R > .172470
< 1/R**2 > .081638


j S nl j j ,r) C j
nl j α j 2p- electron
1 2p 3.912473 1.28243727
2 3p 4.715351 -.36451237
3 2p 9.612746 .08050881
4 4p 11.205508 .01632011
5 5p 1.174990 .06308377
6 4p .898956 -.05177269
7 5p 31.511093 -.00011029
8 3p 51.785379 .00000452
9 3p .591793 -.01241804
ORB.ENERGY,a.u. -5.375100
NORM 1.000000
< R > .565209
< R2 > .404466
< 1/R > 2.311869
< 1/R**2 > 7.497603


j S nl j j ,r) C j
nl j α j 2s- electron
1 1s 10.641065 .34943494
2 2s 5.127064 -.83359100
3 3s 4.279661 -.30648271
4 4s 16.730733 .00533923
5 3s 15.467489 .00654054
6 5s 34.070722 .00028605
7 5s 4.826160 .01106668
ORB.ENERGY,a.u. -6.075600
NORM 1.000000
< R > .602047
< R2 > .430238
< 1/R > 2.416986
< 1/R**2 > 24.033202


j S nl j j ,r) C j
nl j α j 1s- electron
1 1s 12.197191 .91349896
2 1s 18.070162 .08416641
3 2s 6.982002 .01941422
4 3s 8.832291 -.02060030
5 4s 11.201800 .01069286
6 5s 30.983124 .00096179
7 4s 73.134524 -.00004158
ORB.ENERGY,a.u. -59.102000
NORM 1.000000
< R > .120147
< R2 > .019413
< 1/R > 12.596294
< 1/R**2 > 320.403471


Total Energy= -236.02721721 a.u.

Kinetic Energy= 236.01610616 a.u.

Potential Energy= -472.04332337 a.u.

Virial Ratio = -2.00004708

***** TESTING *****

1.0 - <5p 5p> = -.1322E-05

1.0 - <2p 2p> = .5835E-07

1.0 - <2s 2s> = .2761E-07

1.0 - <1s 1s> = .4467E-08

<5p 2p> = -.2615E-05

<2s 1s> = -.1532E-05

RETURN