RETURN

(3s 2 ) 1 S       Z=12       Mg 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 17.024100 0.352464 0.059265 0.016053
2 1s 10.072700 0.481225 -0.447481 -0.096426
3 2s 14.675100 0.198592 0.055907 0.014785
4 2s 5.151400 0.002259 0.355163 0.077390
5 2s 3.487000 0.000556 0.696633 0.110979
6 2s 2.524900 -0.000136 0.058440 0.082870
7 3s 29.901800 -0.000669 0.000283 0.000010
8 3s 1.756800 0.000056 -0.001173 -0.232777
9 3s 1.165900 -0.000033 0.000277 -0.494745
10 3s 0.824400 0.000011 -0.000059 -0.378869
ORB.ENERGY,a.u. -49.031735 -3.767721 -0.253052
NORM 1.000000 0.999998 0.999999
< R > 0.130594 0.690334 3.252936
< R2 > 0.022956 0.571083 12.418446
< 1/R > 11.597954 2.107818 0.399388
< 1/R**2 > 271.847499 18.382399 0.788558
j S nl j j ,r) C j
nl j α j 2p- electron
1 2p 14.902100 0.004178
2 2p 6.807600 0.175692
3 2p 4.142600 0.420054
4 2p 2.715200 0.456246
5 2p 1.462300 0.012155
ORB.ENERGY,a.u. -2.282225
NORM 1.000002
< R > 0.684999
< R2 > 0.597696
< 1/R > 1.951695
< 1/R**2 > 5.469840

Total Energy= -199.61464469 a.u.

Kinetic Energy= 199.61483126 a.u.

Potential Energy= -399.22947595 a.u.

Virial Ratio = -1.99999907

***** TESTING *****

1.0 - <1s 1s> = 0.4778E-07

1.0 - <2s 2s> = 0.1713E-05

1.0 - <3s 3s> = 0.6936E-06

1.0 - <2p 2p> = -0.1936E-05

<1s 2s> = -0.7781E-06

<1s 3s> = -0.3564E-06

<2s 3s> = 0.1038E-06

RETURN