RETURN

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

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

Table 1251.

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 3.286090 .11674222
2 3p 1.418051 -1.04733359
3 4p 1.002807 3.05883592
4 5p .890261 -2.77187953
5 2p 7.202404 .04010912
6 5p 9.990990 .00317746
7 4p 25.155040 -.00021331
ORB.ENERGY,a.u. -.389750
NORM 1.000000
< R > 7.482073
< R2 > 62.945434
< 1/R > .189350
< 1/R**2 > .135119


j S nl j j ,r) C j
nl j α j 2p- electron
1 2p 3.859659 1.28919895
2 3p 4.597858 -.37896579
3 2p 9.549270 .08555486
4 4p 11.258860 .01799650
5 4p .582500 -.00466533
6 5p 2.269335 .00046810
7 3p 39.983704 .00002713
8 3p .474154 .00422012
ORB.ENERGY,a.u. -5.391600
NORM 1.000000
< R > .565336
< R2 > .397901
< 1/R > 2.309876
< 1/R**2 > 7.487960


j S nl j j ,r) C j
nl j α j 2s- electron
1 1s 10.653443 .34881761
2 2s 5.131941 -.82706704
3 3s 4.374888 -.30061499
4 4s 17.251098 .00489416
5 3s 15.275441 .00654470
6 5s 35.844114 .00021238
7 5s 4.142476 -.00224210
ORB.ENERGY,a.u. -6.075600
NORM 1.000000
< R > .602078
< R2 > .430297
< 1/R > 2.416911
< 1/R**2 > 24.032104


j S nl j j ,r) C j
nl j α j 1s- electron
1 1s 12.197191 .91349862
2 1s 18.069941 .08416740
3 2s 6.981528 .01941473
4 3s 8.831403 -.02060283
5 4s 11.201760 .01069371
6 5s 30.968082 .00096139
7 4s 73.144129 -.00004198
ORB.ENERGY,a.u. -59.102000
NORM 1.000000
< R > .120148
< R2 > .019413
< 1/R > 12.596282
< 1/R**2 > 320.402903


Total Energy= -236.03344050 a.u.

Kinetic Energy= 236.03252556 a.u.

Potential Energy= -472.06596606 a.u.

Virial Ratio = -2.00000388

***** TESTING *****

1.0 - <5p 5p> = -.2874E-06

1.0 - <2p 2p> = .5906E-07

1.0 - <2s 2s> = -.1060E-07

1.0 - <1s 1s> = -.1737E-07

<5p 2p> = -.3158E-05

<2s 1s> = -.1645E-05

RETURN