In chemistry, pi backbonding or ÃÂ backbonding is a ÃÂ-bonding interaction between a filled (or half filled) orbital of a transition metal atom and a vacant orbital on an adjacent ion or molecule. In this type of interaction, electrons from the metal are used to bond to the ligand, which dissipates excess negative charge and stabilizes the metal. It is common in transition metals with low oxidation states that have ligands such as carbon monoxide, olefins, or phosphines. The ligands involved in ÃÂ backbonding can be broken into three groups: carbonyls and nitrogen analogs, alkenes and alkynes, and phosphines. Compounds where ÃÂ backbonding is prominent include Ni(CO)<sub>4</sub>, Zeise's salt, and molybdenum and iron dinitrogen complexes.
The electrons are partially transferred from a d-orbital of the metal to anti-bonding molecular orbitals of CO (and its analogs). This electron-transfer strengthens the metalâÂÂC bond and weakens the CâÂÂO bond. The strengthening of the MâÂÂCO bond is reflected in increases of the vibrational frequencies for the MâÂÂC bond (often outside of the range for the usual IR spectrophotometers). Furthermore, the MâÂÂCO bond length is shortened. The weakening of the CâÂÂO bond is indicated by a decrease in the wavenumber of the ý<sub>CO</sub> band(s) from that for free CO (2143 cm<sup>âÂÂ1</sup>), for example to 2060 cm<sup>âÂÂ1</sup> in Ni(CO)<sub>4</sub> and 1981 cm<sup>âÂÂ1</sup> in Cr(CO)<sub>6</sub>, and 1790 cm<sup>âÂÂ1</sup> in the anion [Fe(CO)<sub>4</sub>]<sup>2âÂÂ</sup>. For this reason, IR spectroscopy is an important diagnostic technique in metalâÂÂcarbonyl chemistry. The article infrared spectroscopy of metal carbonyls discusses this in detail.
Many ligands other than CO are strong "backbonders". Nitric oxide is an even stronger ÃÂ-acceptor than CO and ý<sub>NO</sub> is a diagnostic tool in metalâÂÂnitrosyl chemistry. Isocyanides, RNC, are another class of ligands that are capable of ÃÂ-backbonding. In contrast with CO, the ÃÂ-donor lone pair on the C atom of isocyanides is antibonding in nature and upon complexation the CN bond is strengthened and the ý<sub>CN</sub> increased. At the same time, ÃÂ-backbonding lowers the ý<sub>CN</sub>. Depending on the balance of ÃÂ-bonding versus ÃÂ-backbonding, the ý<sub>CN</sub> can either be raised (for example, upon complexation with weak ÃÂ-donor metals, such as Pt(II)) or lowered (for example, upon complexation with strong ÃÂ-donor metals, such as Ni(0)). For the isocyanides, an additional parameter is the MC=NâÂÂC angle, which deviates from 180ð in highly electron-rich systems. Other ligands have weak ÃÂ-backbonding abilities, which creates a labilization effect of CO, which is described by the cis effect.
As in metalâÂÂcarbonyls, electrons are partially transferred from a d-orbital of the metal to antibonding molecular orbitals of the alkenes and alkynes. This electron transfer strengthens the metalâÂÂligand bond and weakens the CâÂÂC bonds within the ligand. In the case of metal-alkenes and alkynes, the strengthening of the MâÂÂC<sub>2</sub>R<sub>4</sub> and MâÂÂC<sub>2</sub>R<sub>2</sub> bond is reflected in bending of the CâÂÂCâÂÂR angles which assume greater sp<sup>3</sup> and sp<sup>2</sup> character, respectively. Thus strong àbackbonding causes a metal-alkene complex to assume the character of a metallacyclopropane. Alkenes and alkynes with electronegative substituents exhibit greater àbackbonding. Some strong àbackbonding ligands are tetrafluoroethylene, tetracyanoethylene, and hexafluoro-2-butyne.
Phosphines accept electron density from metal p or d orbitals into combinations of PâÂÂC ÃÂ* antibonding orbitals that have àsymmetry. When phosphines bond to electron-rich metal atoms, backbonding would be expected to lengthen PâÂÂC bonds as PâÂÂC ÃÂ* orbitals become populated by electrons. The expected lengthening of the PâÂÂC distance is often hidden by an opposing effect: as the phosphorus lone pair is donated to the metal, P(lone pair)âÂÂR(bonding pair) repulsions decrease, which acts to shorten the PâÂÂC bond. The two effects have been deconvoluted by comparing the structures of pairs of metal-phosphine complexes that differ only by one electron. Oxidation of R<sub>3</sub>PâÂÂM complexes results in longer MâÂÂP bonds and shorter PâÂÂC bonds, consistent with ÃÂ-backbonding. In early work, phosphine ligands were thought to utilize 3d orbitals to form MâÂÂP pi-bonding, but it is now accepted that d-orbitals on phosphorus are not involved in bonding as they are too high in energy.
The full IUPAC definition of back donation is as follows: <blockquote>A description of the bonding of ÃÂ-conjugated ligands to a transition metal which involves a synergic process with donation of electrons from the filled ÃÂ-orbital or lone electron pair orbital of the ligand into an empty orbital of the metal (donorâÂÂacceptor bond), together with release (back donation) of electrons from an nd orbital of the metal (which is of ÃÂ-symmetry with respect to the metalâÂÂligand axis) into the empty ÃÂ*-antibonding orbital of the ligand.</blockquote>