RETURN

(1s 2 2s 2 2p 4 5p 1 ) 2 S             Mg 3+

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

Table 2051.

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 2.837818 .14852455
2 3p 1.223242 -1.43159101
3 4p 1.028849 3.32000657
4 5p .866479 -2.56953224
5 5p 15.832897 -.00140277
6 4p 23.506786 -.00052377
7 2p 1.395829 -.07696575
8 2p 6.254435 .05058384
9 4p .538673 .00784827
10 5p 77.473370 -.00000847
ORB.ENERGY,a.u. -.380800
NORM 1.000002
< R > 7.655797
< R2 > 65.902242
< 1/R > .185055
< 1/R**2 > .126733


j S nl j j ,r) C j
nl j α j 2p- electron
1 2p 3.681684 1.27338912
2 3p 4.383158 -.34775645
3 2p 9.239306 .06830658
4 4p 10.618935 .01740420
5 5p 1.641177 .00086588
6 5p 63.047854 .00001600
7 4p .567940 -.00080531
ORB.ENERGY,a.u. -4.922300
NORM 1.000000
< R > .603507
< R2 > .451221
< 1/R > 2.152142
< 1/R**2 > 6.465653


j S nl j j ,r) C j
nl j α j 2s- electron
1 1s 9.830903 .34954136
2 2s 4.733088 -.83193591
3 3s 4.120860 -.29366152
4 4s 14.892016 .00955324
5 3s 16.132785 .00513814
6 5s 29.929130 .00041884
7 5s 4.096089 -.00414394
ORB.ENERGY,a.u. -5.289300
NORM 1.000000
< R > .648803
< R2 > .498681
< 1/R > 2.238874
< 1/R**2 > 20.561460


j S nl j j ,r) C j
nl j α j 1s- electron
1 1s 11.247932 .91829752
2 1s 16.928669 .07951178
3 2s 6.352522 .01949846
4 3s 7.900158 -.02015799
5 4s 10.053407 .00979087
6 5s 28.383846 .00097517
7 4s 64.324126 -.00005351
ORB.ENERGY,a.u. -50.453000
NORM 1.000000
< R > .130354
< R2 > .022849
< 1/R > 11.610746
< 1/R**2 > 272.302407


Total Energy= -192.36678084 a.u.

Kinetic Energy= 192.36369764 a.u.

Potential Energy= -384.73047847 a.u.

Virial Ratio = -2.00001603

***** TESTING *****

1.0 - <5p 5p> = -.1726E-05

1.0 - <2p 2p> = .3660E-08

1.0 - <2s 2s> = -.2526E-08

1.0 - <1s 1s> = .3062E-08

<5p 2p> = -.1949E-04

<2s 1s> = -.2544E-05

RETURN