where in this case P conf ! (sol) and NW ! (sol) refer respectively to the relative probabilities for 2, when alone in the solvent, to assume the different conformers !, and the corresponding number of amide carbonyl-solvent molecules contacts. In this case, in the absence of the cage in the system, guest 2 is by definition always out of the cage, and P in ! (sol) = 1. Thus, Equation3 simplifies into: