Method for making and using a supported zinc aluminum layered double hydroxide catalyst

A method of making a polyolefin nanocomposite including, mixing a zinc-aluminum layered double hydroxide (LDH), and a zirconocene complex in a non-polar solvent to form a first mixture. Prior to the mixing the zirconocene complex is not supported on the zinc-aluminum LDH. The method further includes sonicating the first mixture for at least one hour to form a homogeneous slurry. The method further includes degassing the homogenous slurry and adding at least one olefin gas to form a second mixture. The method further includes adding an aluminoxane catalyst to the second mixture and reacting for at least 10 minutes to form a reaction mixture including the polyolefin nanocomposite. The method further includes separating the polyolefin nanocomposite from the reaction mixture.