Interpreting general reaction systems for potential catalytic molecular pumping relies on the determination of the reaction energy profile under different oscillation conditions with respect to the parameter delta, δ. These intermediate and transition state energies can now be determined computationally for almost any catalytic system . As defined earlier, the quantity delta δ identifies the adsorption enthalpy whereby both A* and B* have equal binding energy with the surface. Delta therefore serves as a separation point between the forward and reverse directionality of catalytic molecular pumping; for any system with a nonunity gamma, the surface species of lowest energy (A* or B*) will differ for systems operating on either side of delta. This precise transition in directionality was observed in Figures and, where the shift from high to low conversion was demarcated by the relative binding energy of B* equaling delta.