Inclusion–exclusion calculation of the dipole–dipole energy of hexagonal ice and of cubic ice

Abstract

The principle of inclusion and exclusion is adapted to derive an expansion for properties of disordered hydrogen‐bonded systems. A dendritic approximation to this expansion is used to calculate the dipole–dipole energy of hexagonal ice and of cubic ice. The calculated difference in dipole–dipole energy of these open forms of ice favors the hexagonal one in stability and accounts for most of the experimental energy difference.