Polybenzoxazine-based compound, electrolyte membrane including the same, and fuel cell employing the electrolyte membrane

A crosslinked object of a polybenzoxazine-based compound formed of a polymerized resultant product of a first benzoxazine-based monomer represented by Formula 1 below or a second benzoxazine-based monomer represented by Formula 2 below with a crosslinkable compound:

• wherein R1 is hydrogen, a substituted or nonsubstituted C1-C20 alkyl group, a substituted or nonsubstituted C1-C20 alkenyl group, a substituted or nonsubstituted C1-C20 alkynyl group, a substituted or nonsubstituted C6-C20 aryl group, a substituted or nonsubstituted C2-C20 heteroaryl group, a substituted or nonsubstituted C4-C20 cycloalkyl group or a substituted or nonsubstituted C2-C20 heterocyclic group, a halogen atom, a hydroxyl group, or a cyano group;
• and
• R2 is a substituted or nonsubstituted C1-C20 alkyl group, a substituted or nonsubstituted C1-C20 alkenyl group, a substituted or nonsubstituted C1-C20 alkynyl group, a substituted or nonsubstituted C6-C20 aryl group, a substituted or nonsubstituted C7-C20 arylalkyl group, a substituted or nonsubstituted C2-C20 heteroaryl group, a substituted or nonsubstituted C2-C20 heteroarylalkyl group, a substituted or nonsubstituted C4-C20 carbocyclic group, a substituted or nonsubstituted C4-C20 carbocyclic alkyl group, a substituted or nonsubstituted C2-C20 heterocyclic group, or a substituted or nonsubstituted C2-C20 heterocyclic alkyl group;
• wherein, R2 is a substituted or nonsubstituted C1-C20 alkyl group, a substituted or nonsubstituted C1-C20 alkenyl group, a substituted or nonsubstituted C1-C20 alkynyl group, a substituted or nonsubstituted C6-C20 aryl group, a substituted or nonsubstituted C7-C20 arylalkyl group, a substituted or nonsubstituted C2-C20 heteroaryl group, a substituted or nonsubstituted C2-C20 heteroarylalkyl group, a substituted or nonsubstituted C4-C20 carbocyclic group, a substituted or nonsubstituted C4-C20 carbocyclic alkyl group, a substituted or nonsubstituted C2-C20 heterocyclic group, or a substituted or nonsubstituted C2-C20 heterocyclic alkyl group;
• and
• R3 is a substituted or nonsubstituted C1-C20 alkylene group, a substituted or nonsubstituted C1-C20 alkenylene group, a substituted or nonsubstituted C1-C20 alkynylene group, a substituted or nonsubstituted C6-C20 arylene group, a substituted or nonsubstituted C2-C20 heteroarylene group, —C(═O)—, or —SO2—.