RETURN

(3s 1 ) 2 S       Z=11       Na 0

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

Table 2.

ROOTHAAN-HARTREE-FOCK WAVE FUNCTIONS:

Bunge C.F. et all, // Atomic Data and Nuclear Data Tables 53,113-162(1993)

Bunge C.F. at all //Phys. Rev. A46, 3691-3696(1992)

www.ccl.net/cca/data/atomic-RHF-wavefunctions/index.shtml

j S nl j j ,r) C j
nl j α j 1s - electron 2s - electron 3s - electron
1 1s 15.331900 0.387167 0.053722 0.011568
2 1s 9.090200 0.434278 -0.430794 -0.072430
3 2s 13.201300 0.213027 0.053654 0.011164
4 2s 4.744400 0.002205 0.347971 0.057679
5 2s 3.151600 0.000627 0.608890 0.089837
6 2s 2.404700 -0.000044 0.157462 0.042114
7 3s 28.427300 -0.000649 0.000280 -0.000001
8 3s 1.317900 0.000026 -0.000492 -0.182627
9 3s 0.891100 -0.000023 0.000457 -0.471631
10 3s 0.667900 0.000008 0.000016 -0.408817
ORB.ENERGY,a.u. -40.478500 -2.797026 -0.182102
NORM 1.000001 1.000001 0.999999
< R > 0.142858 0.779069 4.208757
< R2 > 0.027481 0.731496 20.704781
< 1/R > 10.607392 1.867338 0.301398
< 1/R**2 > 227.533874 14.453190 0.398431
j S nl j j ,r) C j
nl j α j 2p- electron
1 2p 13.617500 0.004308
2 2p 6.219300 0.157824
3 2p 3.838000 0.388545
4 2p 2.363300 0.489339
5 2p 1.531900 0.039759
ORB.ENERGY,a.u. -1.518140
NORM 1.000002
< R > 0.798486
< R2 > 0.822134
< 1/R > 1.696601
< 1/R**2 > 4.187717

Total Energy= -161.85900504 a.u.

Kinetic Energy= 161.85901306 a.u.

Potential Energy= -323.71801810 a.u.

Virial Ratio = -1.99999995

***** TESTING *****

1.0 - <1s 1s> = -0.9201E-06

1.0 - <2s 2s> = -0.8655E-06

1.0 - <3s 3s> = 0.1251E-05

1.0 - <2p 2p> = -0.1606E-05

<1s 2s> = 0.5271E-06

<1s 3s> = -0.3825E-06

<2s 3s> = -0.7086E-06

RETURN