Multipole-based integral estimates

Recently, new multipole-based integral estimates (MBIE) have been introduced by Lambrecht and Ochsenfeld. They are simple, rigorous, and tight upper bounds to the two-electron integrals, and at the same time, they account for the 1/R decay behavior. Because these estimates can be appHed generally in quantum chemistry and are expected to be particularly important in view of electron-correlation theories for larger molecules, we briefly outHne the main ideas of this MBIE method. For a discussion of the latter in the context of electron correlation, see also the last section of this tutorial. 

Rigorous Selection of Transformed Products via Multipole-Based Integral Estimates (MBIE)... 

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