RETURN

(1s 2 2s 2 2p 5 3p 1 ) 1 P             Al 3+

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

Table 1131.

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 3.684706 .39115501
2 3p 1.683524 -1.07029790
3 4p 5.711806 -.07740079
4 2p 9.718180 .03020499
5 5p 15.284350 .00359318
6 5p 1.255672 -.01186479
7 4p 1.045879 .00890032
8 4p 21.317955 .00064864
9 3p 38.490108 .00002323
ORB.ENERGY,a.u. -1.271600
NORM 1.000000
< R > 2.165824
< R2 > 5.355745
< 1/R > .605950
< 1/R**2 > .801153


j S nl j j ,r) C j
nl j α j 2p- electron
1 2p 3.791152 1.30736955
2 3p 4.478037 -.40404684
3 2p 9.569919 .08892224
4 4p 11.200449 .02191046
5 5p 24.871582 .00045562
6 5p 2.612535 .01069746
7 4p 43.066259 .00008494
8 4p 2.289053 -.01141924
ORB.ENERGY,a.u. -4.958600
NORM 1.000000
< R > .566587
< R2 > .399957
< 1/R > 2.306208
< 1/R**2 > 7.467860


j S nl j j ,r) C j
nl j α j 2s- electron
1 1s 10.650821 .34829631
2 2s 5.131168 -.82699394
3 3s 4.352630 -.30187718
4 4s 16.673532 .00501374
5 3s 15.295263 .00680385
6 5s 33.536371 .00031138
7 5s 3.395909 -.00250734
ORB.ENERGY,a.u. -6.075600
NORM 1.000000
< R > .603354
< R2 > .432403
< 1/R > 2.412295
< 1/R**2 > 23.948947


j S nl j j ,r) C j
nl j α j 1s- electron
1 1s 12.196360 .91372950
2 1s 18.086800 .08394075
3 2s 7.001794 .01941392
4 3s 8.827873 -.02060539
5 4s 11.166884 .01076423
6 5s 31.079331 .00091702
7 4s 70.970932 -.00004258
ORB.ENERGY,a.u. -59.102000
NORM 1.000000
< R > .120160
< R2 > .019418
< 1/R > 12.595460
< 1/R**2 > 320.370512


Total Energy= -236.92461958 a.u.

Kinetic Energy= 236.91410277 a.u.

Potential Energy= -473.83872235 a.u.

Virial Ratio = -2.00004439

***** TESTING *****

1.0 - <3p 3p> = -.9633E-08

1.0 - <2p 2p> = -.2130E-08

1.0 - <2s 2s> = -.2240E-08

1.0 - <1s 1s> = .1450E-07

<3p 2p> = .1120E-06

<2s 1s> = -.5302E-06

RETURN