Modified polyisobutylene polymer for rubber compounding and rubber composition including same

A modified polyisobutylene polymer for rubber compounding comprising a diamide structure satisfying Formula 2 below

• wherein in Formula 2,
• L1 and L2 are each independently a linear or branched (C1-C5)alkylene;
• R1 and R2 are each independently selected from among (C1-C5)alkylene, (C1-C5)aminoalkylene, carbonylene, and (C1-C5)alkylcarbonylene;
• R3, R4, and R5 are each independently selected from among hydrogen, hydroxy, (C1-C20)alkyl, (C1-C12)cycloalkyl, (C2-C14)acyloxy, (C4-C20)aryloxy, (C5-C30) araloxy, (C1-C20)amine, and (C1-C12)alkoxy;
• A is methylene, Sn, or ((R6)NR7)n wherein R6 is hydrogen or (C1-C5) alkyl, R7 is (C1-C5)alkylene, and n is an integer in a range of from 1 to 10;
• * indicates a connection with polyisobutylene.