Implementations of AO basis sets

Slater functions The general arguments concerning the physically sound form of the states to be included in the AOs basis sets given above have been implemented in the Slater type AOs  

Here again the triple nlm corresponds to the vector subscript n in the definition. Formally they can be obtained as solutions of the electronic Schrodinger equation with the potential of the form  

The original Slater rules for selecting the values of C conform to the idea of being related to the atomic ionization potentials (see above). However other schemes are also in use. 

Gaussians The Gaussian type AOs are the most widespread basis set in the area of ab initio quantum chemistry  

These functions can be understood as solutions of the Schrodinger equation with the potential 

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