RETURN

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

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

Table 3051.

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 7.264752 .04008742
2 2p 3.584029 .11556008
3 3p 1.512140 -.91789867
4 4p 1.017397 2.84817140
5 5p .903749 -2.68666046
6 5p 10.053244 .00441353
7 4p 25.752714 -.00023296
ORB.ENERGY,a.u. -.397900
NORM 1.000000
< R > 7.330849
< R2 > 60.423341
< 1/R > .195101
< 1/R**2 > .150699


j S nl j j ,r) C j
nl j α j 2p- electron
1 2p 3.857011 1.29171732
2 3p 4.595863 -.38157218
3 4p 1.148621 -.01341012
4 2p 9.583885 .08470387
5 4p 11.325310 .01965116
6 5p 1.092968 .00748263
7 4p 1.494746 .00738815
8 3p 35.800859 .00004402
9 5p 14.667143 -.00086930
ORB.ENERGY,a.u. -5.399700
NORM 1.000000
< R > .565575
< R2 > .398313
< 1/R > 2.309258
< 1/R**2 > 7.484838


j S nl j j ,r) C j
nl j α j 2s- electron
1 1s 10.647025 .34913074
2 2s 5.133905 -.82864794
3 3s 4.358965 -.30099947
4 4s 16.743042 .00526254
5 3s 15.445286 .00652275
6 5s 33.986313 .00029339
7 5s 3.644931 -.00076167
ORB.ENERGY,a.u. -6.075600
NORM 1.000000
< R > .602086
< R2 > .430311
< 1/R > 2.416891
< 1/R**2 > 24.031792


j S nl j j ,r) C j
nl j α j 1s- electron
1 1s 12.197191 .91349872
2 1s 18.069941 .08416742
3 2s 6.981954 .01941350
4 3s 8.831577 -.02060242
5 4s 11.201722 .01069397
6 5s 30.966634 .00096129
7 4s 73.141756 -.00004203
ORB.ENERGY,a.u. -59.102000
NORM 1.000000
< R > .120147
< R2 > .019413
< 1/R > 12.596284
< 1/R**2 > 320.402986


Total Energy= -236.03321197 a.u.

Kinetic Energy= 236.04069023 a.u.

Potential Energy= -472.07390220 a.u.

Virial Ratio = -1.99996832

***** TESTING *****

1.0 - <5p 5p> = .1602E-06

1.0 - <2p 2p> = .9331E-08

1.0 - <2s 2s> = .1381E-07

1.0 - <1s 1s> = -.3646E-08

<5p 2p> = .3042E-04

<2s 1s> = -.1618E-05

RETURN