Atlas of Optimal Proton Configurations of Water Clusters in the Form of Gas Hydrate Cavities

All nonisomorphic proton configurations of water clusters in the form of gas hydrate cavities that are most stable in the number of strong hydrogen bonds corresponding to trans conformations have been found. The symmetry of these configurations is analyzed with allowance for the antisymmetry peration changing the directions of all Hbonds. The proton configurations of a cluster shaped like a pentagonal dodecahedron are considered in more detail.