RETURN

(1s 2 2s 2 2p 5 3p 1 ) 3 S             Al 3+

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

Table 3031.

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 3p- electron
1 2p 3.927742 .41796191
2 3p 1.768322 -1.05206425
3 4p 5.949501 -.07239472
4 2p 9.896135 .02849187
5 5p 15.755512 .00194114
6 5p 1.669836 -.02140754
ORB.ENERGY,a.u. -1.333600
NORM 1.000000
< R > 2.067033
< R2 > 4.910009
< 1/R > .653031
< 1/R**2 > .964457


j S nl j j ,r) C j
nl j α j 2p- electron
1 2p 3.510808 1.37181408
2 3p 4.059030 -.51210627
3 2p 8.761228 .13162915
4 4p 10.129939 .02379214
5 5p 2.579805 .01820212
6 4p 2.554428 -.02522786
7 5p 31.808807 -.00015952
8 3p 18.221432 -.00039025
ORB.ENERGY,a.u. -5.020600
NORM 1.000000
< R > .569014
< R2 > .404479
< 1/R > 2.300439
< 1/R**2 > 7.438891


j S nl j j ,r) C j
nl j α j 2s- electron
1 1s 10.649187 .34832552
2 2s 5.132324 -.82705239
3 3s 4.351672 -.30183184
4 4s 16.696855 .00464835
5 3s 15.051935 .00726715
6 5s 33.284012 .00031998
7 5s 3.456441 -.00294173
ORB.ENERGY,a.u. -6.075600
NORM 1.000000
< R > .603501
< R2 > .432673
< 1/R > 2.411886
< 1/R**2 > 23.942239


j S nl j j ,r) C j
nl j α j 1s- electron
1 1s 12.196335 .91370896
2 1s 18.085636 .08396166
3 2s 6.999947 .01941467
4 3s 8.820926 -.02062487
5 4s 11.158427 .01078012
6 5s 31.057005 .00091724
7 4s 71.010014 -.00004306
ORB.ENERGY,a.u. -59.102000
NORM 1.000000
< R > .120160
< R2 > .019418
< 1/R > 12.595462
< 1/R**2 > 320.370536


Total Energy= -236.92083844 a.u.

Kinetic Energy= 236.97603303 a.u.

Potential Energy= -473.89687147 a.u.

Virial Ratio = -1.99976709

***** TESTING *****

1.0 - <3p 3p> = .1965E-06

1.0 - <2p 2p> = .3402E-07

1.0 - <2s 2s> = -.4993E-08

1.0 - <1s 1s> = -.1706E-08

<3p 2p> = .2766E-07

<2s 1s> = -.2548E-06

RETURN