Therefore, the number of CC per second ( © fr ± ), that is either in the forward or reverse direction is the catalytic cycle frequency. There cannot be any argument about the fact that the catalytic rate constant is not the same as TOF and the catalytic cycle frequency ( © fr ± ), which are not equivalent to either the reverse first-order rate constant (k-) or the kcat. For our under graduates at the border line, a simple analogy suffices: "Two vehicles at the same speed with different capacities, one that can transport 10 goods and the other 5 goods of the same kind in every aspect, are assigned to transport the goods over the same distance to a location. If each trip takes 30 minutes and there are a total of 120 goods divided by 2 for each vehicle, then it should take, respectively, 180 and 360 minutes for the vehicles to execute the task. The rate constant for one is 0.333/min and the other is 0.167/min; yet both possess the same number of trips per unit time (0.0333/min)". Thus, the ( © fr ± ) is not the same as TOF, let alone the kcat or k-1, the reverse rate constant, as the case may be.