This work required the evaluation of certain mathematical objects molecular integrals over Slater orbitals.
2.
The radial parts of these atomic orbitals are sometimes numerical tables or are sometimes Slater orbitals.
3.
The Slater orbital has a cusp at the nucleus, while Gaussian orbitals are flat at the nucleus.
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Slater's name is part of the terms Bohr-Kramers-Slater theory, Slater determinant and Slater orbital.
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The fit between the Gaussian orbitals and the Slater orbital is good for all values of r, except for very small values near to the nucleus.
6.
The speedup by 4 5 orders of magnitude compared to Slater orbitals more than outweighs the extra cost entailed by the larger number of basis functions generally required in a Gaussian calculation.
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