RETURN

(1s 2 2s 1 5s 1 ) 1 S             Mg 8+

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

Table 1050.

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 1.281137 1.01867263
2 2s 1.564166 -8.52000808
3 3s 2.310575 9.13820614
4 4s 1.791953 -8.25289383
5 5s 1.839285 8.08356115
6 5s 3.868135 -.05536317
7 1s 13.632474 .00961343
8 5s 14.388562 -.00446249
9 4s 10.163329 .01025550
ORB.ENERGY,a.u. -1.715600
NORM .999991
< R > 3.935503
< R2 > 17.333480
< 1/R > .345361
< 1/R**2 > .748164


j S nl j j ,r) C j
nl j α j 2s- electron
1 1s 11.443744 .33185467
2 2s 2.974268 -.80202332
3 3s 6.912646 -.60734911
4 4s 3.893515 .45324240
5 5s 1.587926 .93565037
6 5s 15.365322 -.00536480
7 4s 1.377600 -1.31259561
8 4s 31.163401 -.00039371
9 3s 1.129355 .39971656
10 3s 43.254877 -.00011676
11 2s 90.024312 -.00000208
ORB.ENERGY,a.u. -13.157000
NORM 1.000000
< R > .564843
< R2 > .415267
< 1/R > 2.651720
< 1/R**2 > 28.409668


j S nl j j ,r) C j
nl j α j 1s- electron
1 1s 11.426160 .93841746
2 1s 18.673384 .05125313
3 2s 14.334395 .01478177
4 3s 8.623067 .00227276
5 4s 46.057472 -.00064697
6 5s 60.651378 .00024200
7 5s 4.772411 .00280148
8 4s 3.805313 -.00277133
9 3s .811885 .00024830
ORB.ENERGY,a.u. -60.402000
NORM 1.000000
< R > .129239
< R2 > .022379
< 1/R > 11.675559
< 1/R**2 > 274.682231


Total Energy= -151.80706215 a.u.

Kinetic Energy= 151.79860119 a.u.

Potential Energy= -303.60566334 a.u.

Virial Ratio = -2.00005574

***** TESTING *****

1.0 - <5s 5s> = .9448E-05

1.0 - <2s 2s> = -.1208E-08

1.0 - <1s 1s> = .1148E-07

<5s 2s> = -.5630E-06

<5s 1s> = -.2284E-04

<2s 1s> = -.1255E-05

RETURN