Stochastic models for guestguest interactions in onedimensional inclusion compounds

The intrinsic relative preferences of XX, XY and YY interactions between functional groups X and Y can be obtained by considering a set of onedimensional inclusion compounds containing guest molecules of two (or more) of the types X X, X Y, and Y Y, with the molar ratios of these types of guest molecule differing between the members of the set. Limited information on the relative preferences of these interactions can also be obtained by considering a onedimensional inclusion compound containing only guest molecules of the type X Y.Two probabilistic models are presented for the sequence of oriented guest molecules in a tunnel of a onedimensional inclusion compound containing these different types of guest molecule. One model is specified by a Markov chain and is appropriate when the guest molecules are introduced sequentially into the tunnel. The other model is specified by interaction between a guest molecule and both of its neighbours, and is appropriate when the guest molecules are introduced simultaneo...