RETURN

(1s 2 2s 1 4s 1 ) 3 S             Mg 8+

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

Table 3040.

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 4s- electron
1 1s 9.100031 .14423648
2 2s 2.697041 -1.66392090
3 3s 2.414509 4.78477532
4 4s 2.355386 -3.98142500
5 5s 4.145129 .15217059
6 4s 7.861211 -.05172102
7 5s 23.572902 .00114373
8 4s 32.668383 .00019364
ORB.ENERGY,a.u. -2.746500
NORM 1.000001
< R > 2.468421
< R2 > 6.842848
< 1/R > .589343
< 1/R**2 > 2.744575


j S nl j j ,r) C j
nl j α j 2s- electron
1 1s 9.967764 .40380321
2 2s 5.030595 -.78622834
3 3s 6.002526 -.30194057
4 5s 10.485799 -.03060112
5 4s 21.179717 .00743586
6 5s 28.011047 -.00193054
7 4s 73.958142 .00002503
ORB.ENERGY,a.u. -13.006000
NORM 1.000000
< R > .559256
< R2 > .364824
< 1/R > 2.626670
< 1/R**2 > 27.847170


j S nl j j ,r) C j
nl j α j 1s- electron
1 1s 11.424030 .93754835
2 1s 18.528619 .05235389
3 2s 14.064890 .01461919
4 3s 8.390027 .00212625
5 4s 47.478038 -.00058455
6 5s 63.074887 .00021424
7 5s 1.898747 .00019832
ORB.ENERGY,a.u. -60.402000
NORM 1.000000
< R > .129260
< R2 > .022387
< 1/R > 11.674338
< 1/R**2 > 274.636999


Total Energy= -152.81698940 a.u.

Kinetic Energy= 152.82777292 a.u.

Potential Energy= -305.64476231 a.u.

Virial Ratio = -1.99992944

***** TESTING *****

1.0 - <4s 4s> = -.7548E-06

1.0 - <2s 2s> = .2508E-07

1.0 - <1s 1s> = .1802E-07

<4s 2s> = -.4132E-05

<4s 1s> = .9760E-05

<2s 1s> = -.8049E-06

RETURN