RETURN

(1s 2 2s 1 4p 1 ) 1 P             Al 9+

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

Table 1141.

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 5.186307 .47678660
2 3p 3.007522 -.94070801
3 5p 2.682752 1.51338321
4 4p 3.941950 -.40342600
5 5p 6.192719 .08120650
6 4p 12.489023 -.01514255
7 5p 29.110213 -.00204618
8 4p 49.201308 -.00058188
9 3p 1.442363 .00616204
10 5p 71.935701 .00016368
ORB.ENERGY,a.u. -3.222900
NORM 1.000000
< R > 2.230033
< R2 > 5.640527
< 1/R > .646363
< 1/R**2 > 1.156513


j S nl j j ,r) C j
nl j α j 2s- electron
1 1s 10.750979 .41043634
2 2s 5.509375 -.79073047
3 3s 6.580916 -.30257244
4 5s 11.087756 -.02994613
5 4s 23.042501 .00677041
6 5s 30.687795 -.00153065
7 5s 3.004964 -.00068238
8 3s 47.802640 .00006589
ORB.ENERGY,a.u. -15.644000
NORM 1.000000
< R > .512213
< R2 > .305973
< 1/R > 2.870989
< 1/R**2 > 33.245046


j S nl j j ,r) C j
nl j α j 1s- electron
1 1s 12.429658 .94250494
2 1s 20.350568 .04709502
3 2s 15.396834 .01493693
4 3s 6.843293 .00080461
5 4s 48.168583 -.00071431
6 5s 63.082746 .00027581
7 5s 15.105805 .00126943
ORB.ENERGY,a.u. -71.915000
NORM 1.000000
< R > .119025
< R2 > .018975
< 1/R > 12.672840
< 1/R**2 > 323.449208


Total Energy= -180.42092426 a.u.

Kinetic Energy= 180.40726229 a.u.

Potential Energy= -360.82818655 a.u.

Virial Ratio = -2.00007573

***** TESTING *****

1.0 - <4p 4p> = -.1798E-07

1.0 - <2s 2s> = -.3192E-08

1.0 - <1s 1s> = -.1611E-07

<2s 1s> = .2065E-06

RETURN