We continue our study of diffusion-reaction processes on finite aperiodic lattices, viz., the Penrose lattice and a Girih tiling. Focusing on bimolecular reactions, we mobilize the theory of finite Markov processes to document the effect of attractive forces on the reaction efficiency. Considering both a short-range square-well potential and a longer-range 1/r(S) (S = 4, 6) potential, we find that irreversible reactive encounters between reactants on a Girih platelet are kinetically advantaged relative to processes on a Penrose platelet. This result generalizes the conclusion reached in our earlier study [Roberto A. Garza-Lopez, Aaron Kaufman, Reena Patel, Joseph Chang, Jack Brzezinski, John J. Kozak, Chem. Phys. Lett. 459 (2008) 137] where entropic factors (only) were assessed. (C) 2009 Elsevier B.V. All rights reserved.