RETURN

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

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

Table 4051.

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 5p- electron
1 2p 3.248451 .17193539
2 3p 1.414886 -1.86182070
3 4p 1.260776 3.90296856
4 5p 1.070294 -2.74680312
5 2p 7.016331 .05166857
6 5p 19.258791 -.00094530
7 4p 28.457865 -.00031355
8 2p 1.727576 -.04861794
9 4p .568088 .00268375
ORB.ENERGY,a.u. -.582070
NORM 1.000003
< R > 6.264280
< R2 > 44.119370
< 1/R > .227322
< 1/R**2 > .190772


j S nl j j ,r) C j
nl j α j 2p- electron
1 2p 4.162578 1.23671437
2 3p 4.898538 -.30887555
3 2p 10.097733 .06652913
4 4p 11.932118 .01648775
5 5p 1.488896 .00448810
6 5p 17.588297 -.00069907
7 4p 52.532985 .00002782
8 4p 1.120265 -.00445134
ORB.ENERGY,a.u. -6.689700
NORM 1.000000
< R > .537164
< R2 > .356038
< 1/R > 2.406750
< 1/R**2 > 8.043354


j S nl j j ,r) C j
nl j α j 2s- electron
1 1s 10.572431 .36308448
2 2s 5.225239 -.84230329
3 3s 4.570232 -.29851419
4 4s 15.750060 .00764931
5 3s 16.234078 .00640183
6 5s 31.682198 .00046489
7 5s 5.522633 .00753805
ORB.ENERGY,a.u. -7.107500
NORM 1.000000
< R > .585324
< R2 > .404971
< 1/R > 2.486658
< 1/R**2 > 25.339740


j S nl j j ,r) C j
nl j α j 1s- electron
1 1s 12.252346 .92403368
2 1s 18.422118 .07306820
3 2s 7.087448 .02048807
4 3s 8.754297 -.02086871
5 4s 11.089124 .00995285
6 5s 30.513972 .00084734
7 4s 67.920054 -.00005847
ORB.ENERGY,a.u. -60.759000
NORM 1.000000
< R > .120005
< R2 > .019355
< 1/R > 12.605404
< 1/R**2 > 320.757086


Total Energy= -230.63361622 a.u.

Kinetic Energy= 230.62950229 a.u.

Potential Energy= -461.26311851 a.u.

Virial Ratio = -2.00001784

***** TESTING *****

1.0 - <5p 5p> = -.2969E-05

1.0 - <2p 2p> = .1663E-07

1.0 - <2s 2s> = -.5188E-07

1.0 - <1s 1s> = -.5630E-08

<5p 2p> = -.1573E-04

<2s 1s> = -.4828E-05

RETURN