Quantum mechanical (QM) close-coupling calculations have been used to study fully quantum state-resolved product differential rotational alignment in collisions of NO(X 2 Π 1/2 , v=0, j=0.5, f)+Kr at a collision energy of 500cm −1 , using the most recent ab initio potential energy surface of Wen et al. [12]. We show that fully quantum state-resolved differential alignment exhibits a noticeable parity-dependent behavior. The results are discussed and compared with previous experimental and theoretical studies on NO(X)+He/Ar inelastic scattering at similar collision energies.