RETURN

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

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

Table 3231.

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 3.778700 .39972464
2 3p 1.717067 -1.06176582
3 4p 5.807927 -.07480739
4 2p 9.548962 .03179663
5 5p 15.567312 .00197025
6 5p 1.572256 -.01147795
7 3p 29.520667 -.00001912
ORB.ENERGY,a.u. -1.295300
NORM 1.000000
< R > 2.126829
< R2 > 5.177371
< 1/R > .623829
< 1/R**2 > .862179


j S nl j j ,r) C j
nl j α j 2p- electron
1 2p 3.704649 1.32470565
2 3p 4.339456 -.43221231
3 2p 9.243439 .10273583
4 4p 10.845892 .02128931
5 5p 2.543715 .00866576
6 3p 16.050092 .00017161
7 3p 2.122435 -.01238535
8 5p 34.505491 -.00010419
ORB.ENERGY,a.u. -4.982400
NORM 1.000000
< R > .567481
< R2 > .401614
< 1/R > 2.304073
< 1/R**2 > 7.457124


j S nl j j ,r) C j
nl j α j 2s- electron
1 1s 10.650138 .34831022
2 2s 5.131792 -.82698218
3 3s 4.352154 -.30192287
4 4s 16.583514 .00515683
5 3s 15.379398 .00671562
6 5s 33.332252 .00032163
7 5s 3.414567 -.00265540
ORB.ENERGY,a.u. -6.075600
NORM 1.000000
< R > .603411
< R2 > .432506
< 1/R > 2.412138
< 1/R**2 > 23.946360


j S nl j j ,r) C j
nl j α j 1s- electron
1 1s 12.196338 .91370727
2 1s 18.085479 .08396350
3 2s 6.998597 .01941726
4 3s 8.821172 -.02062469
5 4s 11.159786 .01077814
6 5s 31.059375 .00091797
7 4s 71.033982 -.00004298
ORB.ENERGY,a.u. -59.102000
NORM 1.000000
< R > .120160
< R2 > .019418
< 1/R > 12.595461
< 1/R**2 > 320.370524


Total Energy= -236.92426259 a.u.

Kinetic Energy= 236.93781288 a.u.

Potential Energy= -473.86207547 a.u.

Virial Ratio = -1.99994281

***** TESTING *****

1.0 - <3p 3p> = .1263E-06

1.0 - <2p 2p> = -.3394E-07

1.0 - <2s 2s> = .2368E-07

1.0 - <1s 1s> = -.1100E-07

<3p 2p> = -.8803E-06

<2s 1s> = -.1928E-06

RETURN