Elastic constants of monolayer charge stabilized colloidal crystal with quadratic lattice

The model of monolayer charge stabilized colloidal crystal with the two-dimensional quadratic crystal lattice is considered. The study is carried out within the theory on the base of the Poisson-Boltzmann non-linear differential equation. The elastic constants of the first and second orders of the colloidal crystal are calculated for a broad range of the lattice parameter using the stress-strain dependencies obtained during the computer experiment. The results obtained are compared with the data on the elastic constants calculated on the base of the force constants.