The Curious Case of the Allyl Ligand: A Study in Applying the 18-Electron Rule

The 18-electron rule is an incredibly powerful tool for explaining the properties and reactivities of organometallic complexes. With the rule, however, comes the difficulty of choosing a method of implementing it, i.e. what many popular texts refer to as the “donor-pair” (ionic) method or the “neutral-ligand” method. The choice becomes particularly difficult when ligands can be counted in multiple ways via the donor-pair method, as in the case of the allyl ligand. In this investigation we hope to show that a choice of counting method can be chosen based on experimental intuition, as supported by a density functional theory (DFT) investigation. The natural electronic charge of metals, the η 3 -π-allyl (or simply the allyl) ligand, and the η 3 -cyclopropenyl ligand are discussed for a variety of organometallic complexes. A variety of DFT exchange-correlation functionals and basis sets, coupled with the Natural Population Analysis method of Landis and Weinhold, reveal the allyl ligand’s charge in a complex can be traced back to its experimental precursor. These results emphasize that the 18-electron rule is not merely a bookkeeping device and that the donor-pair method in the case of the allyl ligand holds more utility than the neutral-ligand method.