RETURN

(1s 2 2s 2 2p 5 4p 1 ) 3 S             Al 3+

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

Table 3041.

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 4p- electron
1 2p 5.692636 .16235293
2 3p .779430 2.34585275
3 4p 1.965842 -1.01155782
4 5p 3.702295 -.15125541
5 3p 23.336211 -.00050122
6 5p .925670 -.94863429
7 4p 12.593602 -.01599410
8 5p 15.701504 .00652413
9 4p .470104 -.00455863
ORB.ENERGY,a.u. -.662540
NORM .999999
< R > 4.330144
< R2 > 21.212799
< 1/R > .323616
< 1/R**2 > .325798


j S nl j j ,r) C j
nl j α j 2p- electron
1 2p 3.846117 1.28848979
2 3p 4.574770 -.38101686
3 2p 9.501704 .08763091
4 4p 11.178193 .01842691
5 4p 2.184032 .00217257
6 5p 1.359988 -.00229100
7 3p 42.273394 .00002451
ORB.ENERGY,a.u. -5.283200
NORM 1.000000
< R > .566146
< R2 > .399266
< 1/R > 2.307666
< 1/R**2 > 7.476350


j S nl j j ,r) C j
nl j α j 2s- electron
1 1s 10.654572 .34860565
2 2s 5.133354 -.82578299
3 3s 4.385710 -.30038506
4 4s 17.053756 .00494757
5 3s 15.326230 .00654104
6 5s 34.798519 .00025018
7 5s 4.310319 -.00426852
8 4s .997716 .00010465
ORB.ENERGY,a.u. -6.075600
NORM 1.000000
< R > .602386
< R2 > .430800
< 1/R > 2.415797
< 1/R**2 > 24.012062


j S nl j j ,r) C j
nl j α j 1s- electron
1 1s 12.197042 .91350136
2 1s 18.070159 .08416562
3 2s 6.981080 .01942026
4 3s 8.827499 -.02061221
5 4s 11.194710 .01070951
6 5s 30.895135 .00095650
7 4s 73.121918 -.00004359
ORB.ENERGY,a.u. -59.102000
NORM 1.000000
< R > .120150
< R2 > .019414
< 1/R > 12.596098
< 1/R**2 > 320.395586


Total Energy= -236.28837635 a.u.

Kinetic Energy= 236.30525877 a.u.

Potential Energy= -472.59363512 a.u.

Virial Ratio = -1.99992856

***** TESTING *****

1.0 - <4p 4p> = .7032E-06

1.0 - <2p 2p> = -.4232E-08

1.0 - <2s 2s> = -.2739E-07

1.0 - <1s 1s> = .4575E-08

<4p 2p> = .2266E-05

<2s 1s> = -.3203E-05

RETURN