Guassian Basis
Jong Ho Choi
In short, a Gaussian basis set is a set of functions that is a linear combination of Gaussian functions. A basis set is a set of functions to describe molecular orbitals by expressing them as a linear combination of the atomic orbital analogies. Theoretically, the basis set can have any functional form, and a molecular orbital can be expanded to any function without approximation if the basis set is complete. As the number of atomic orbitals is infinite, the complete basis set should have also infinite number of functions.
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