RETURN

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

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

Table 5050.

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 5s- electron
1 1s 10.620614 .06320047
2 2s 3.755335 -.33134998
3 3s 1.766902 2.25358026
4 4s 1.581142 -4.19358524
5 5s 1.325767 2.76145627
6 4s 10.347144 -.01098380
7 5s 26.671913 .00016127
8 5s .604157 -.00064569
ORB.ENERGY,a.u. -.884330
NORM .999998
< R > 5.108650
< R2 > 29.204620
< 1/R > .281205
< 1/R**2 > .804298


j S nl j j ,r) C j
nl j α j 2p- electron
1 2p 4.774761 1.38279398
2 3p 6.168516 -.48320392
3 4p 7.626697 .09469835
4 5p 22.187028 -.00259885
5 4p 3.122474 .01309874
6 4p 29.000737 -.00126685
7 5p 3.077534 -.00794755
8 3p 1.870843 .00163026
9 3p 40.839316 -.00010564
ORB.ENERGY,a.u. -8.624800
NORM 1.000000
< R > .510620
< R2 > .319096
< 1/R > 2.508223
< 1/R**2 > 8.646918


j S nl j j ,r) C j
nl j α j 2s- electron
1 1s 11.418800 .33287447
2 2s 4.498549 -.77590206
3 3s 7.449524 -.25495609
4 4s 20.702160 .00301636
5 5s 6.971283 -.04959127
6 4s 1.269868 .04135554
7 5s 1.359116 -.03556237
8 2s 20.788086 -.00097407
9 3s 1.581826 -.00952142
ORB.ENERGY,a.u. -8.212200
NORM 1.000000
< R > .569456
< R2 > .382208
< 1/R > 2.558286
< 1/R**2 > 26.717327


j S nl j j ,r) C j
nl j α j 1s- electron
1 1s 12.169904 .91836967
2 1s 18.567151 .08067796
3 2s 10.254635 .01817010
4 3s 14.747129 -.01520386
5 4s 22.673672 .00334861
6 5s 41.501142 .00023943
7 5s 7.854938 .00032779
8 4s 1.526322 -.00234015
9 3s 1.125018 .00237792
ORB.ENERGY,a.u. -62.564000
NORM 1.000000
< R > .119821
< R2 > .019284
< 1/R > 12.617416
< 1/R**2 > 321.225674


Total Energy= -223.99717970 a.u.

Kinetic Energy= 224.00200798 a.u.

Potential Energy= -447.99918769 a.u.

Virial Ratio = -1.99997845

***** TESTING *****

1.0 - <5s 5s> = .1832E-05

1.0 - <2p 2p> = .3219E-08

1.0 - <2s 2s> = -.1754E-08

1.0 - <1s 1s> = -.5258E-09

<5s 2s> = .2538E-05

<5s 1s> = .1417E-05

<2s 1s> = -.1257E-06

RETURN