RETURN

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

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

Table 1031.

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 2.614618 .32859402
2 3p 1.588996 -1.14937585
3 4p 5.141968 -.01637828
4 2p 8.177493 .03279799
5 5p 12.879148 .00181329
6 4p 30.798002 -.00007638
7 5p 1.348502 -.00358064
ORB.ENERGY,a.u. -1.185900
NORM 1.000000
< R > 2.403703
< R2 > 6.453426
< 1/R > .491878
< 1/R**2 > .392421


j S nl j j ,r) C j
nl j α j 2p- electron
1 2p 4.178418 1.73940070
2 3p 5.389045 -.92348416
3 4p 6.783240 .20236056
4 5p 2.152343 -.02507332
5 4p 14.641494 -.00699247
6 4p 1.325609 -.00339486
7 3p 17.528089 -.00310890
8 5p 9.673069 -.01889301
9 5p 71.911665 .00001511
ORB.ENERGY,a.u. -4.873000
NORM 1.000000
< R > .560214
< R2 > .389541
< 1/R > 2.320571
< 1/R**2 > 7.534977


j S nl j j ,r) C j
nl j α j 2s- electron
1 1s 10.650015 .34847753
2 2s 5.131087 -.82752367
3 3s 4.350597 -.30217679
4 4s 16.366364 .00523707
5 3s 15.492729 .00655129
6 5s 32.030010 .00041426
7 5s 3.170367 -.00096136
ORB.ENERGY,a.u. -6.075600
NORM 1.000000
< R > .602939
< R2 > .431632
< 1/R > 2.413435
< 1/R**2 > 23.967592


j S nl j j ,r) C j
nl j α j 1s- electron
1 1s 12.196529 .91372185
2 1s 18.085442 .08394866
3 2s 6.996559 .01941941
4 3s 8.829324 -.02060307
5 4s 11.171932 .01075265
6 5s 31.091091 .00092353
7 4s 71.233336 -.00004197
ORB.ENERGY,a.u. -49.033000
NORM 1.000000
< R > .120158
< R2 > .019418
< 1/R > 12.595571
< 1/R**2 > 320.375033


Total Energy= -236.87729099 a.u.

Kinetic Energy= 236.81385484 a.u.

Potential Energy= -473.69114583 a.u.

Virial Ratio = -2.00026787

***** TESTING *****

1.0 - <3p 3p> = -.6955E-07

1.0 - <2p 2p> = .3581E-07

1.0 - <2s 2s> = -.3506E-07

1.0 - <1s 1s> = .1479E-07

<3p 2p> = -.9331E-07

<2s 1s> = -.5877E-06

RETURN