WEB page related to quantum chemistry for graduate students.

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Hartree-Fock method applied on helium atom by using Slater type orbitals:
Orbital Exponent
1s 3.31
1s 2.52
2s 0.53

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Overlap matrix
1.000000   0.972584   0.078480
0.972584   1.000000   0.130991
0.078480   0.130991   1.000000

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Matrix representation of the kinetic energy operator (K)
 5.478050   4.056259  -0.097413
 4.056259   3.175200  -0.080324
-0.097413  -0.080324   0.046817

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Matrix representation of nucleus-electron operator (Vne)
-6.620000  -5.670165  -0.200908
-5.670165  -5.040000  -0.266349
-0.200908  -0.266349  -0.530000

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Matrix representation of K+Vne
-1.141950  -1.613906  -0.298321
-1.613906  -1.864800  -0.346672
-0.298321  -0.346672  -0.483183

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Transformation matrix to ortogonalize the basis set
4.370505  -4.396233   0.239084
0.132856   0.077767  -0.998688
0.493806   0.496592   0.104361

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First iteration:
Fock matrix after the first transformation
4.242607   0.248061   1.541975
0.248061 -0.413687   0.047069
1.541975   0.047069 -1.601792

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Eigenvalues: -1.983796, -0.426146, 4.637070,
Total energy : -2.63432212

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Density matrix
0.653435   -1.761536   -0.039799
-1.761536   4.748763   0.107289
-0.039799   0.107289   0.002424

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After 7 iterations by using the DIIS approach:
Eigenvalues: -0.775034, 0.105303, 6.975603
Total energy = -2.7061020.
All quantities are in Hartrees.