The copolymerization of racemic β‐butyrolactone ( rac ‐BL Me ) with racemic “allyl‐β‐butyrolactone” ( rac ‐BL allyl ) in toluene, catalyzed by the discrete amino‐alkoxy‐bis(phenolate) yttrium‐amido complex 1 , gave new poly(β‐hydroxyalkanoate)s with unsaturated side chains. The poly(BL Me ‐ co ‐B…