RETURN

(3d 3 4s 2 ) 4 F       Z=23       V 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 4s - electron
1 1s 23.726500 0.934724 -0.278303 -0.100645 0.022861
2 2s 20.291500 0.071260 -0.173527 -0.072332 0.016726
3 2s 9.480200 0.001198 1.022901 0.435733 -0.100913
4 3s 29.149900 0.009527 -0.001124 -0.001135 0.000256
5 3s 6.946300 0.000121 0.080937 0.102976 -0.028627
6 3s 4.912700 -0.000187 -0.008467 -0.611858 0.172058
7 3s 3.325700 0.000044 0.003140 -0.599875 0.147853
8 4s 11.284400 -0.000270 0.065688 0.090418 -0.023449
9 4s 1.954900 -0.000015 -0.000372 -0.007592 -0.291512
10 4s 1.272100 0.000011 0.000230 0.002016 -0.534471
11 4s 0.865600 -0.000004 -0.000078 -0.000520 -0.295890
ORB.ENERGY,a.u. -201.502829 -23.874650 -3.183183 -0.230578
NORM 1.000000 1.000000 1.000001 1.000000
< R > 0.067000 0.308744 0.955587 3.626289
< R2 > 0.006023 0.112497 1.050953 15.232271
< 1/R > 22.530104 4.770639 1.456687 0.350652
< 1/R**2 > 1021.908498 93.265232 12.761162 0.738414
j S nl j j ,r) C j
nl j α j 2p - electron 3p - electron
1 2p 35.808600 0.000832 0.000208
2 2p 14.183200 0.330153 0.070957
3 2p 7.436600 0.429318 0.488333
4 2p 3.297100 0.004908 -0.867911
5 3p 11.372100 0.290389 0.013393
6 3p 2.750000 -0.000823 -0.348957
7 3p 1.723500 0.000157 -0.025660
ORB.ENERGY,a.u. -20.022490 -2.019223
NORM 1.000001 0.999999
< R > 0.274032 1.025156
< R2 > 0.092273 1.235617
< 1/R > 4.684847 1.325481
< 1/R**2 > 30.168690 3.847801
j S nl j j ,r) C j
nl j α j 3d- electron
1 3d 10.964000 0.017413
2 3d 5.505700 0.198643
3 3d 3.311400 0.404320
4 3d 2.009400 0.399309
5 3d 1.263700 0.137710
ORB.ENERGY,a.u. -0.509619
NORM 1.000002
< R > 1.323235
< R2 > 2.247769
< 1/R > 0.998469
< 1/R**2 > 1.361091

Total Energy= -943.20706307 a.u.

Kinetic Energy= 942.88413006 a.u.

Potential Energy= -1886.09119313 a.u.

Virial Ratio = -2.00034249

***** TESTING *****

1.0 - <1s 1s> = 0.4303E-06

1.0 - <2s 2s> = 0.5440E-07

1.0 - <3s 3s> = -0.1034E-05

1.0 - <4s 4s> = -0.3561E-06

1.0 - <2p 2p> = -0.1070E-05

1.0 - <3p 3p> = 0.6462E-06

1.0 - <3d 3d> = -0.1551E-05

<1s 2s> = -0.1122E-07

<1s 3s> = 0.3306E-06

<2s 3s> = -0.6830E-06

<1s 4s> = -0.1593E-06

<2s 4s> = -0.6285E-06

<3s 4s> = 0.5175E-06

<2p 3p> = 0.1935E-06

RETURN