We have calculated rearrangement mechanisms for (H2O)8 and (H2O)20 clu
sters by eigenvector following. For (H2O)8, two different parametrizat
ions of a four-site, rigid water effective pair potential were conside
red and found to give very similar results. Hence, only one of the pot
entials is applied to (H2O)20. 6N-6 internal coordinates are required
to describe a (H2O)N cluster in these calculations, of which 3N-6 were
chosen as center-of-mass distances, angles, and dihedral angles, the
other 3N being Euler angles. A wide variety of different rearrangement
s for both (H2O)8 and (H2O)20 are illustrated, with barrier heights ra
nging over three orders of magnitude. The mechanisms range from almost
imperceptible changes of geometry to folding processes that result in
dramatic structural transformations.