First-principles calculations of the second-order optical susceptibility ar
e successfully performed for practical berate crystals, namely, LiB3O5, CsB
3O5 (CBQ), and BaB2O4, using the linearized augmented plane-wave band metho
d. Spectral and spatial decomposition are proposed to elucidate the role of
different ions and different electron states. It is shown, with CBO as an
example, that transitions from the high-lying part of occupied O 2p bands,
as the initial states, to the conduction band states around the three-coord
inated B site dominate in the nonlinear response. [S0163-1829(98)05346-6].