RETURN

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

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

Table 3131.

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 3.681948 .38520019
2 3p 1.683093 -1.07080311
3 4p 5.714605 -.07359921
4 2p 9.283538 .03457672
5 5p 15.315112 .00197608
6 5p 1.251997 -.00806644
7 3p 25.879631 -.00003620
8 3p .866669 .00574537
ORB.ENERGY,a.u. -1.271600
NORM 1.000000
< R > 2.165824
< R2 > 5.355747
< 1/R > .605950
< 1/R**2 > .801153


j S nl j j ,r) C j
nl j α j 2p- electron
1 2p 3.791552 1.31058537
2 3p 4.482711 -.40657026
3 2p 9.458260 .09111154
4 4p 11.169253 .01911953
5 5p 77.796011 .00000983
6 5p 2.607831 .01224040
7 4p 2.286873 -.01322088
ORB.ENERGY,a.u. -4.958600
NORM 1.000000
< R > .566587
< R2 > .399957
< 1/R > 2.306208
< 1/R**2 > 7.467862


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 12.196340 .91370578
2 1s 18.085352 .08396508
3 2s 6.997500 .01941979
4 3s 8.820882 -.02062568
5 4s 11.160247 .01077699
6 5s 31.060692 .00091836
7 4s 71.047341 -.00004294
ORB.ENERGY,a.u. -59.102000
NORM 1.000000
< R > .120160
< R2 > .019418
< 1/R > 12.595460
< 1/R**2 > 320.370516


Total Energy= -236.92462483 a.u.

Kinetic Energy= 236.91412104 a.u.

Potential Energy= -473.83874587 a.u.

Virial Ratio = -2.00004434

***** TESTING *****

1.0 - <3p 3p> = -.1530E-06

1.0 - <2p 2p> = -.3444E-07

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

1.0 - <1s 1s> = -.2076E-07

<3p 2p> = .1118E-05

<2s 1s> = -.1571E-06

RETURN