Polyimide precursor composition, method for preparing polyimide, polyimide prepared by using the method, and film including the polyimide

A polyimide precursor composition, comprising

• a polyamic acid comprising a repeating unit represented by Chemical Formula 1 and
• transparent metal oxide nanoparticles coordinated to a ligand represented by RCOOH, wherein R is a linear or branched C1-C4 alkyl or a linear or branched C2-C4 alkenyl:
• wherein in Chemical Formula 1,
• Cy is the same or different in each repeating unit, and is each independently a functional group selected from a substituted or unsubstituted C4 to C20 carbocyclic group, a substituted or unsubstituted C6 to C20 monocyclic aromatic group, a substituted or unsubstituted C6 to C20 condensed polycyclic aromatic group, and a substituted or unsubstituted C6 to C20 non-condensed polycyclic aromatic group linked to each other by a single bond or a linker selected from a substituted or unsubstituted alkylene group, a substituted or unsubstituted cycloalkylene group, a substituted or unsubstituted heterocycloalkylene group, a substituted or unsubstituted arylene group, a substituted or unsubstituted heteroarylene group, —SO2—, —C(═O)—, and —O—,
• A3 is a substituted or unsubstituted C1 to C20 alkylene group, a substituted or unsubstituted C5 to C40 arylene group, a substituted or unsubstituted C3 to C40 heteroarylene group, a substituted or unsubstituted C5 to C40 cycloalkylene group, or a substituted or unsubstituted C5 to C40 heterocycloalkylene group,
• R31 is hydrogen, a substituted or unsubstituted C1 to C15 alkyl group, a substituted or unsubstituted C1 to C15 alkoxy group, a substituted or unsubstituted C1 to C15 fluoroalkyl group, a substituted or unsubstituted C3 to C15 cycloalkyl group, a substituted or unsubstituted C3 to C15 heterocycloalkyl group, a substituted or unsubstituted C3 to C15 cycloalkoxy group, a substituted or unsubstituted C6 to C15 aryl group, a substituted or unsubstituted C6 to C15 aryloxy group, or a substituted or unsubstituted C2 to C15 heteroaryl group,
• n34 is an integer ranging from 0 to 10, provided that
• n34+2 is equal to the bond valency of A3.