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An integrated equation for the three-center nuclear attraction integral has been formulated in a general way for Slater-type atomic s orbitals arising from any integral principle quantum number. No restrictions are placed on the effective nuclear charges or the interatomic distances. The formulation is expressed linearly in terms of certain auxiliary functions which are discussed in detail. Numerical values of some of the auxiliary functions for the triatomic hydrogen molecule are cited as examples of this exact formulation. An alternative approximate formulation is also given.
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Barker et al. (1953) studied this question.
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