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Polydentate are usually organic structures with ammine groups, which in english is a big carbon- net with a bunch of nitrogen groups, and the nitrogen groups are the ones that bond to the metal. They are usually abbreviated so if you see en, pn, dien, trien, EDTA then these are all polydentate. Then there is the weird one oxalato, which just has carbon and oxygen and the oxygens are the ones that bond.
Just to add on, a polydentate is a ligand that can attatch to more than one binding site simultaneously and the prefix used is bis-, tris-, or tetrakis- to define that polydentate. An example of a polydentate is bidentate ethylenediamine, where each end of the molecule has a nitrogen atom with a lone pair.
In addition to having multiple lone pair donating sites, I believe a polydentate ligand must also have bonds that can rotate (single bonds/sigma bonds) so that the atoms with the lone pairs can orient themselves to be on the same side to bind to the transition metal. I hope this helps!
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