Band structure and optical properties of highly anisotropic LiBa 2[B 10O 16(OH) 3] decaborate crystal

Abstract

The band structure (BS), charge density distribution and linear-optical properties of the anisotropic crystal LiBa 2[B 10O 16(OH) 3] (LBBOH) are calculated using a self-consistent norm-conserving pseudopotential method within the framework of the local-density approximation theory. A high anisotropy of the band energy gap (4.22 eV for the E ∥ b , 4.46 eV for the E ∥ c ) and giant birefringence (up to 0.20 ) are found. Comparison of the theoretically calculated and the experimentally measured polarised spectra of the imaginary part of the dielectric susceptibility ε 2 shows a good agreement. The anisotropy of the charge density distribution, BS dispersion and of the optical spectra originate from anisotropy between the 2p z B–2p z O and 2p y, x B–2p y, y O bonding orbitals. The observed anisotropy in the LBBOH is principally different from that of β-BaB 2O 4 (BBO) single crystals. In the LBBOH single crystals the anisotropy of optical and charge density distribution is caused by different projection of the orbitals originating from particular borate clusters on the particular crystallographic axes, contrary to the BBO, where the anisotropy is caused prevailingly by a different local site symmetry of oxygen within the borate planes. The observed anisotropy is analysed in terms of the band energy dispersion and space charge density distribution.