RETURN

(1s 2 2s 2 2p 2 5p 1 ) 4 S             Al 6+

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

Table 4051.

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 3.389216 .29626258
2 3p 1.784753 -2.73810052
3 4p 1.547903 6.66809935
4 5p 1.483282 -4.74670328
5 4p 1.163772 -.10812625
6 2p 7.865630 .03345677
7 5p 22.013711 -.00076420
8 4p 32.187708 -.00021452
ORB.ENERGY,a.u. -1.074600
NORM 1.000002
< R > 4.758157
< R2 > 25.451838
< 1/R > .294158
< 1/R**2 > .272633


j S nl j j ,r) C j
nl j α j 2p- electron
1 2p 5.059010 1.26065072
2 3p 6.720566 -.32001743
3 4p 8.477923 .05536156
4 5p 1.946568 .12198550
5 4p 1.597619 -.10323220
6 5p 23.232799 -.00181158
7 4p 29.471292 -.00095061
8 3p 3.210819 .00815042
9 3p 39.952083 -.00009029
10 5p 1.329442 -.02357688
ORB.ENERGY,a.u. -10.152000
NORM 1.000000
< R > .490482
< R2 > .299078
< 1/R > 2.600338
< 1/R**2 > 9.226716


j S nl j j ,r) C j
nl j α j 2s- electron
1 1s 10.525666 .38741652
2 2s 5.404661 -.83570092
3 3s 5.645912 -.27283720
4 4s 21.157107 .00248526
5 3s 12.757497 .01552418
6 5s 5.595342 -.03659892
ORB.ENERGY,a.u. -9.388200
NORM 1.000000
< R > .553664
< R2 > .359931
< 1/R > 2.634476
< 1/R**2 > 28.215778


j S nl j j ,r) C j
nl j α j 1s- electron
1 1s 12.159078 .91996707
2 1s 18.806053 .07951787
3 2s 11.285538 .01919764
4 3s 14.397872 -.01548839
5 5s 30.660093 .00111349
6 4s 73.332387 -.00004101
7 5s 9.812219 .00056136
ORB.ENERGY,a.u. -64.512000
NORM 1.000000
< R > .119601
< R2 > .019195
< 1/R > 12.631952
< 1/R**2 > 321.796881


Total Energy= -215.30841156 a.u.

Kinetic Energy= 215.30476079 a.u.

Potential Energy= -430.61317236 a.u.

Virial Ratio = -2.00001696

***** TESTING *****

1.0 - <5p 5p> = -.2403E-05

1.0 - <2p 2p> = -.1639E-07

1.0 - <2s 2s> = -.4970E-07

1.0 - <1s 1s> = .1084E-07

<5p 2p> = -.1641E-06

<2s 1s> = .1011E-05

RETURN