RETURN

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

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

Table 3040.

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 4s- electron
1 1s 10.980820 .07974209
2 2s 2.331547 -1.23881030
3 3s 2.311929 2.61332624
4 4s 1.687635 -1.79771515
5 5s 3.387772 -.19179564
6 4s 11.311679 -.02044128
7 5s 14.704123 .00398202
8 5s 55.196561 -.00005633
9 5s 1.325690 .00733943
ORB.ENERGY,a.u. -1.437600
NORM 1.000001
< R > 3.152528
< R2 > 11.152873
< 1/R > .439855
< 1/R**2 > 1.439049


j S nl j j ,r) C j
nl j α j 2p- electron
1 2p 4.775696 1.38068785
2 3p 6.163115 -.48230462
3 4p 7.571503 .09574241
4 5p 21.961344 -.00255267
5 4p 3.179116 .01394416
6 4p 28.244150 -.00135397
7 5p 3.185927 -.00759730
8 3p 1.907490 .00125751
9 3p 38.491361 -.00013000
ORB.ENERGY,a.u. -8.448600
NORM 1.000000
< R > .511051
< R2 > .319659
< 1/R > 2.506366
< 1/R**2 > 8.635461


j S nl j j ,r) C j
nl j α j 2s- electron
1 1s 10.662567 .36979041
2 2s 5.168405 -.87871002
3 3s 4.880213 -.29749774
4 4s 5.780928 .05078744
5 3s 14.292962 .01656846
6 5s 1.926618 -.01452386
7 2s 39.217618 .00013162
8 3s 1.795736 .01006187
ORB.ENERGY,a.u. -8.212200
NORM 1.000000
< R > .568127
< R2 > .380513
< 1/R > 2.564486
< 1/R**2 > 26.837110


j S nl j j ,r) C j
nl j α j 1s- electron
1 1s 12.170383 .91928193
2 1s 18.671708 .07945721
3 2s 10.763464 .01803962
4 3s 15.275919 -.01478432
5 4s 23.961337 .00331488
6 5s 45.863958 .00009079
7 5s 9.044922 .00085560
8 4s 1.571161 .00337967
9 3s 1.338281 -.00299616
ORB.ENERGY,a.u. -62.564000
NORM 1.000000
< R > .119835
< R2 > .019291
< 1/R > 12.616523
< 1/R**2 > 321.190697


Total Energy= -224.56936237 a.u.

Kinetic Energy= 224.55437041 a.u.

Potential Energy= -449.12373279 a.u.

Virial Ratio = -2.00006676

***** TESTING *****

1.0 - <4s 4s> = -.8322E-06

1.0 - <2p 2p> = -.1848E-08

1.0 - <2s 2s> = .2790E-07

1.0 - <1s 1s> = .3644E-08

<4s 2s> = -.1969E-05

<4s 1s> = -.9653E-07

<2s 1s> = .6341E-07

RETURN