RETURN

(1s 2 2s 1 3s 1 ) 1 S             Al 9+

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

Table 1030.

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 3s- electron
1 1s 7.130536 .13667150
2 2s 4.193994 -.73177514
3 3s 3.413417 1.62660294
4 4s 6.249410 -.18410064
5 5s 10.140009 -.00587678
6 4s 23.255782 .00095591
7 5s 3.033129 -.03321449
8 4s 2.547433 .01909225
9 2s 72.105427 -.00000300
ORB.ENERGY,a.u. -6.143900
NORM 1.000000
< R > 1.256128
< R2 > 1.717246
< 1/R > .898634
< 1/R**2 > 1.761021


j S nl j j ,r) C j
nl j α j 2s- electron
1 1s 11.799913 .39414160
2 2s 5.507902 -.51563930
3 3s 6.842418 -.67452607
4 4s 3.810043 .32768754
5 5s 13.571137 -.01998032
6 4s 35.432411 -.00127018
7 3s 24.608920 .00494597
8 2s 55.464095 .00015469
9 5s 2.479771 .01376695
10 3s 2.004207 -.02387351
ORB.ENERGY,a.u. -15.347000
NORM 1.000000
< R > .485764
< R2 > .299979
< 1/R > 3.155668
< 1/R**2 > 39.928056


j S nl j j ,r) C j
nl j α j 1s- electron
1 1s 12.432887 .94029552
2 1s 20.048295 .04903656
3 2s 15.057362 .01475009
4 3s 9.402626 .00232191
5 4s 52.587943 -.00052027
6 5s 70.362807 .00018990
7 5s 5.419256 .00030986
ORB.ENERGY,a.u. -71.915000
NORM 1.000000
< R > .119033
< R2 > .018980
< 1/R > 12.672312
< 1/R**2 > 323.424753


Total Energy= -183.33554861 a.u.

Kinetic Energy= 183.31922031 a.u.

Potential Energy= -366.65476892 a.u.

Virial Ratio = -2.00008907

***** TESTING *****

1.0 - <3s 3s> = .2224E-06

1.0 - <2s 2s> = .8178E-07

1.0 - <1s 1s> = .1623E-08

<3s 2s> = -.1651E-06

<3s 1s> = -.2031E-05

<2s 1s> = -.5426E-06

RETURN