RETURN

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

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

Table 2031.

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 3p- electron
1 2p 3.966313 .29982834
2 3p 1.918667 -.85187058
3 4p 2.480310 -.22390153
4 4p 46.266436 -.00007222
5 2p 7.723662 .08007519
6 5p 11.486303 .00511417
7 5p 30.565870 -.00039865
ORB.ENERGY,a.u. -1.831500
NORM 1.000000
< R > 1.888715
< R2 > 4.063997
< 1/R > .698259
< 1/R**2 > 1.043372


j S nl j j ,r) C j
nl j α j 2p- electron
1 2p 4.146320 1.24630079
2 3p 4.874420 -.31929756
3 2p 9.983010 .06842860
4 4p 11.623034 .01404994
5 5p 1.891758 -.00046987
6 5p 29.916148 -.00016812
ORB.ENERGY,a.u. -6.206200
NORM 1.000000
< R > .537745
< R2 > .356829
< 1/R > 2.404498
< 1/R**2 > 8.029733


j S nl j j ,r) C j
nl j α j 2s- electron
1 1s 10.579764 .36180043
2 2s 5.230853 -.83565592
3 3s 4.631801 -.29514746
4 4s 15.768238 .00978233
5 3s 17.923830 .00464377
6 5s 30.801262 .00057449
7 5s 4.055629 -.00523041
8 4s 1.330870 -.00004450
ORB.ENERGY,a.u. -7.107500
NORM 1.000000
< R > .586936
< R2 > .407511
< 1/R > 2.480316
< 1/R**2 > 25.222289


j S nl j j ,r) C j
nl j α j 1s- electron
1 1s 12.251108 .92431769
2 1s 18.450069 .07277382
3 2s 7.136661 .02045563
4 3s 8.762706 -.02080357
5 4s 11.040716 .01005376
6 5s 30.732172 .00077050
7 4s 64.895871 -.00006232
ORB.ENERGY,a.u. -60.759000
NORM 1.000000
< R > .120024
< R2 > .019363
< 1/R > 12.604112
< 1/R**2 > 320.705968


Total Energy= -231.90500770 a.u.

Kinetic Energy= 231.87839592 a.u.

Potential Energy= -463.78340362 a.u.

Virial Ratio = -2.00011477

***** TESTING *****

1.0 - <3p 3p> = .1196E-06

1.0 - <2p 2p> = .1768E-07

1.0 - <2s 2s> = .5433E-07

1.0 - <1s 1s> = .1398E-07

<3p 2p> = -.1531E-06

<2s 1s> = -.2174E-05

RETURN