RETURN

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

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

Table 3030.

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 3s- electron
1 1s 8.846224 .23579969
2 2s 3.880900 -1.14291915
3 3s 3.130101 1.74230596
4 4s 5.722383 -.12258770
5 5s 10.045204 -.02620513
6 4s 18.933552 .00388322
7 5s 2.864644 -.00726576
8 3s 23.765565 .00056909
ORB.ENERGY,a.u. -5.044000
NORM 1.000000
< R > 1.352942
< R2 > 2.069148
< 1/R > 1.063899
< 1/R**2 > 6.730378


j S nl j j ,r) C j
nl j α j 2s- electron
1 1s 10.058130 .39940209
2 2s 4.955056 -.78253089
3 3s 6.158946 -.29696241
4 5s 10.531651 -.03286109
5 4s 21.933841 .00601264
6 5s 29.576611 -.00145130
7 4s 79.334623 .00001669
ORB.ENERGY,a.u. -12.708000
NORM 1.000000
< R > .558659
< R2 > .364157
< 1/R > 2.631829
< 1/R**2 > 27.975901


j S nl j j ,r) C j
nl j α j 1s- electron
1 1s 11.423992 .93713683
2 1s 18.490996 .05262201
3 2s 13.980087 .01464994
4 3s 8.202931 .00250112
5 4s 48.653327 -.00055640
6 5s 65.177195 .00020316
7 5s 5.131970 .00096003
8 4s 3.951139 -.00125749
ORB.ENERGY,a.u. -60.402000
NORM 1.000000
< R > .129298
< R2 > .022403
< 1/R > 11.672061
< 1/R**2 > 274.551267


Total Energy= -155.08716140 a.u.

Kinetic Energy= 155.12089870 a.u.

Potential Energy= -310.20806010 a.u.

Virial Ratio = -1.99978251

***** TESTING *****

1.0 - <3s 3s> = -.3410E-07

1.0 - <2s 2s> = -.4142E-07

1.0 - <1s 1s> = .3693E-08

<3s 2s> = .3070E-05

<3s 1s> = -.1441E-06

<2s 1s> = .2342E-07

RETURN