Elastic constants of colloidal crystals with body-centered cubic lattice and constant potential on the particles

The model of charge-stabilized colloidal crystals with a monatomic body-centered cubic crystal lattice is proposed to determine elastic constants of the first and the second order. The crystals are described based on the Poisson-Boltzmann nonlinear differential equation. Electric behavior of the colloidal particles obeys the constant potential model. Elastic constants of the crystals are derived from the stress-strain dependencies obtained by means of computational simulation. Elastic constants were obtained for a broad range of lattice parameters. Stability of the crystals and the presence of the many-body effective interactions in them are briefly discussed.