On the origin of Baeyer strain in molecules – an ab initio and DFT analysis

Abstract

It is shown that destabilization energy of organic molecules containing small rings can be estimated by quasi–homodesmotic reactions involving acyclic “strain–free” counterparts. These destabilization energies Es can be well reproduced at the HF level employing cc-pVTZ basis set, because the contributions of the electron correlation and ZPV energy practically cancel each other in most cases. A predominating factor leading to a decreased stability of molecules involving small ring fragments is given by the Ω bond bending or Baeyer strain. It leads to a dramatic decrease in the electron–nuclei attraction, which is a hallmark of the angular strain. Similar results are obtained by the DFT–B3LYP method. It is strongly pointed out that Baeyer strain cannot be singled out from the total destabilization energy in a precise quantitative way, since it is interlocked with other types of intramolecular interactions like the nonbonded repulsions, a significant increase in the stability of the CH bonds emanating from the small cyclic structures and by the σ–aromaticity or σ–antiaromaticity in three– and four–membered rings, respectively. Nevertheless, it is fair to say that Baeyer strain is the essential factor in determining decreased stability of small ring compounds and that the diminished electron–nuclear attraction is its characteristic signature at the global level.