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A one-electron basis set made from functions with exponential and Gaussian radial dependence is proposed for constructing many-electron, many-center, electronic wave functions. Appropriate mixtures of these two types may greatly simplify the evaluation of many-center, two electron integrals and in addition make possible an improved description of the molecular bond. Plane waves may also be added to the basis set thus making an application to solids appear feasible.
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Leland C. Allen (1959) studied this question.
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