RETURN

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

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

Table 4031.

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 3.964936 .29982666
2 3p 1.918798 -.85244231
3 4p 2.480295 -.22341876
4 2p 7.721113 .08018998
5 5p 11.476683 .00511349
6 5p 30.523999 -.00040115
7 4p 46.192880 -.00007282
ORB.ENERGY,a.u. -1.831500
NORM 1.000000
< R > 1.888715
< R2 > 4.063998
< 1/R > .698259
< 1/R**2 > 1.043372


j S nl j j ,r) C j
nl j α j 2p- electron
1 2p 4.145209 1.24620428
2 3p 4.871375 -.31937384
3 2p 9.985579 .06849808
4 4p 11.633338 .01416334
5 5p 29.649083 -.00016237
6 5p 1.902528 -.00047529
ORB.ENERGY,a.u. -6.206200
NORM 1.000000
< R > .537745
< R2 > .356829
< 1/R > 2.404499
< 1/R**2 > 8.029735


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 12.251008 .92408703
2 1s 18.435371 .07299180
3 2s 7.079413 .02059819
4 3s 8.697313 -.02101416
5 4s 11.001210 .01010136
6 5s 30.676494 .00079831
7 4s 65.687100 -.00005958
ORB.ENERGY,a.u. -60.759000
NORM 1.000000
< R > .120024
< R2 > .019363
< 1/R > 12.604112
< 1/R**2 > 320.705959


Total Energy= -231.90501147 a.u.

Kinetic Energy= 231.87839893 a.u.

Potential Energy= -463.78341040 a.u.

Virial Ratio = -2.00011477

***** TESTING *****

1.0 - <3p 3p> = -.3967E-08

1.0 - <2p 2p> = -.2886E-07

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

1.0 - <1s 1s> = -.4730E-08

<3p 2p> = .2671E-07

<2s 1s> = -.2220E-05

RETURN