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The RI (resolution of the identity) technique achieves significant increases in efficiency for various molecular electronic structure methods. This results from the approximation of four-center two-electron integrals by corresponding three-center integrals. It is shown that the three-center integrals required can be evaluated with a much simpler algorithm than for the general case. This further increases the advantage of RI procedures.
Reinhart Ahlrichs (Thu,) studied this question.
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