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The problem of the two-center exchange integrals is solved in the most general way for Slater-type atomic orbitals with integral effective quantum numbers. No other restrictions are placed upon effective quantum numbers and effective nuclear charges, The integrals are expressed linearly in terms of certain auxiliary functions. A rule for finding the coefficients is given. The coefficients are explicitly computed for all cases involving orbitals with the quantum numbers 1, 2, and 3. The auxiliary functions are discussed in detail. The existing literature is reviewed, and a survey of present tables is made.
Klaus Rüdenberg (1951) studied this question.