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A example of a pi acid ligand is carbon monoxide(CO). CO is a good pi acceptor (lewis acid) due to empty pi* orbitals and a good sigma donor (lewis acid)**. When bonding to a metal the ligand (in this case CO) sigma donates to an empty d-orbital and the filled d-orbitals of the metal donates to the empty pi* orbitals of CO, back donation. This only occurs when the metal has an oxidation state <3+ as higher oxidative states cause electron density to contract towards the metal.

** Im pretty sure a (electron)donor is a Lewis base.. I could add that backdonation is more likely to give stable compounds with the transitionmetals to the left in the Periodic Table (p.t.) and less likely with the transitionmetals to the right. The number of protons increases as you go to the right in the p.t. and the positive charge "grows", resulting in the metal holding on more tightly to the electrons. This will give a very airsensitive (unstable) compound.

Short version: A pi acid ligand is a molecule that binds to a metal by accepting electrons through (antibonding) pi-orbitals. (accepting electrons-Lewis acid, donating electrons- Lewis base)

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