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Scanning tunneling microscopy (STM) has been a fundamental tool tocharacterize many-body effects in condensed matter systems, from extendedsolids to quantum dots. STM of molecules decoupled from the supportingconductive substrate has the potential to extend STM characterization of manybody effects to the molecular world as well. In this article, we describe amany-body tunneling theory for molecules decoupled from the STM substrate, andwe report on the use of standard quantum chemical methods to calculate thequantities necessary to provide the 'correlated' STM molecular image. Thedeveloped approach has been applied to eighteen different molecules, to explorethe effects of their chemical nature and of their substituents, as well as toverify the possible contribution by transition metal centers. Whereas the bulkof calculations have been performed with CISD because of the computationalcost, some tests have been also performed with the more accurate CCSD method toquantify the importance of the computational level on many-body STM images. Wehave found that correlation induces a remarkable squeezing of the images, andthat correlated images are not derived from Hartree-Fock HOMO or LUMO alone,but include contributions from other orbitals as well. Although correlationeffects are too small to be resolved by present STM experiments for the studiedmolecules, our results provide hints for seeking out other species with larger,and possibly experimentally detectable, correlation effects.

Visualizing electron correlation by means of ab-initio scanning tunneling spectroscopy images of single molecules