RETURN

(1s 2 2s 1 5s 1 ) 3 S             Al 9+

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

Table 3050.

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 7.896002 .13357477
2 2s 1.812520 -5.25693396
3 3s 2.522996 7.96859600
4 4s 2.118054 -7.92415322
5 5s 2.051421 6.20675858
6 5s 8.897381 -.00239687
7 1s 19.340159 .00326840
8 4s 38.829774 -.00010453
ORB.ENERGY,a.u. -2.120800
NORM .999999
< R > 3.545513
< R2 > 14.068470
< 1/R > .413763
< 1/R**2 > 1.691476


j S nl j j ,r) C j
nl j α j 2s- electron
1 1s 10.716827 .41326284
2 2s 5.529538 -.79562103
3 3s 6.562888 -.30335383
4 5s 11.314391 -.02701513
5 4s 22.698892 .00753003
6 5s 29.995729 -.00196186
7 4s 78.346408 .00002581
ORB.ENERGY,a.u. -15.874000
NORM 1.000000
< R > .511478
< R2 > .305105
< 1/R > 2.876374
< 1/R**2 > 33.370586


j S nl j j ,r) C j
nl j α j 1s- electron
1 1s 12.433649 .94045505
2 1s 20.021341 .04910693
3 2s 15.102508 .01472214
4 3s 9.382167 .00209672
5 4s 47.475649 -.00063708
6 5s 59.927733 .00019235
7 5s 3.984980 .00010988
8 3s 83.243935 -.00002305
9 4s .988515 -.00011451
ORB.ENERGY,a.u. -71.915000
NORM 1.000000
< R > .118998
< R2 > .018965
< 1/R > 12.674765
< 1/R**2 > 323.525828


Total Energy= -179.29926532 a.u.

Kinetic Energy= 179.30473791 a.u.

Potential Energy= -358.60400323 a.u.

Virial Ratio = -1.99996948

***** TESTING *****

1.0 - <5s 5s> = .9938E-06

1.0 - <2s 2s> = .7477E-08

1.0 - <1s 1s> = .7564E-08

<5s 2s> = -.1968E-05

<5s 1s> = .2527E-04

<2s 1s> = .8706E-06

RETURN