RETURN

(1s 2 2s 2 2p 4 5s 1 ) 4 P             Al 4+

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

Table 4150.

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 5s- electron
1 1s 11.131146 .05027514
2 2s 3.583608 -.25161571
3 3s 1.822612 1.25336369
4 4s 1.306089 -3.27723157
5 5s 1.156593 2.83196761
6 5s 10.795156 -.01440886
7 4s 13.908622 -.00849215
8 5s 38.155444 -.00022416
9 3s .756605 .02838856
10 4s 57.157654 -.00005177
ORB.ENERGY,a.u. -.645400
NORM .999998
< R > 5.834388
< R2 > 38.099957
< 1/R > .243772
< 1/R**2 > .596412


j S nl j j ,r) C j
nl j α j 2p- electron
1 2p 4.172515 1.23409952
2 3p 4.931941 -.30590999
3 2p 9.996067 .06759610
4 4p 11.558533 .01458844
5 5p 2.827261 .00017286
6 5p 29.993885 -.00015512
ORB.ENERGY,a.u. -6.691200
NORM 1.000000
< R > .537344
< R2 > .356284
< 1/R > 2.406117
< 1/R**2 > 8.039664


j S nl j j ,r) C j
nl j α j 2s- electron
1 1s 11.528214 .31888626
2 2s 4.331267 -.80921998
3 3s 7.193998 -.21328585
4 4s 5.659645 -.03644955
5 5s 14.814440 -.01106622
6 5s 1.161406 -.04584493
7 4s 1.023414 .08104015
8 3s 48.374174 -.00011034
9 3s .862155 -.03701308
10 5s 107.692040 .00001584
ORB.ENERGY,a.u. -7.107500
NORM 1.000000
< R > .585356
< R2 > .405181
< 1/R > 2.486739
< 1/R**2 > 25.342184


j S nl j j ,r) C j
nl j α j 1s- electron
1 1s 12.252413 .92392620
2 1s 18.382524 .07336748
3 2s 6.956748 .02058735
4 3s 8.649275 -.02116916
5 4s 11.081771 .01000943
6 5s 30.675177 .00081256
7 3s 45.406381 -.00012846
8 5s 1.848714 -.00002606
ORB.ENERGY,a.u. -60.759000
NORM 1.000000
< R > .120000
< R2 > .019354
< 1/R > 12.605718
< 1/R**2 > 320.769024


Total Energy= -230.68975612 a.u.

Kinetic Energy= 230.69232716 a.u.

Potential Energy= -461.38208327 a.u.

Virial Ratio = -1.99998886

***** TESTING *****

1.0 - <5s 5s> = .2029E-05

1.0 - <2p 2p> = .3146E-08

1.0 - <2s 2s> = -.4866E-07

1.0 - <1s 1s> = -.6294E-09

<5s 2s> = -.5272E-08

<5s 1s> = -.1434E-03

<2s 1s> = .1476E-05

RETURN