Ab initio studies on the optical effects in the deep ultraviolet nonlinear optical crystals of the KBe 2 BO 3 F 2 family

Electronic structures of the deep ultraviolet nonlinear optical crystals of the KBe(2)BO(3)F(2) (KBBF) family, including KBBF, RbBe(2)BO(3)F(2) and CsBe(2)BO(3)F(2), have been investigated based on a plane-wave pseudopotential method. Their linear and nonlinear optical coefficients are also calculated, and are in good agreement with the experimental results. A real-space atom-cutting method is adopted to analyze the respective contributions of the alkali metal cations and anionic groups to optical response. The results show that the contributions of anionic groups to the nonlinear optical anisotropic responses are dominant, but the influence of the A-site alkali metal cations becomes slightly more pronounced with the increase of their radius. Moreover, the birefringence difference among these crystals strongly depends on the volume effect, i.e., the spatial density of the (BO(3))(3-) anionic groups.