First Principle Assisted Prediction of the Birefringence Values of Functional Inorganic Borate Materials

Abstract

Prediction of the birefringence values of borate is very essential for developing new optical materials in UV range. In this paper, the birefringence values of five lead borates, Pb<sub>8</sub>B<sub>9</sub>O<sub>21</sub>F, PbBiBO<sub>4</sub>, Pb<sub>3</sub>BO<sub>4</sub>F, Pb<sub>6</sub>B<sub>3</sub>O<sub>10</sub>Cl, and Pb<sub>2</sub>BO<sub>3</sub>F with network B–O structure or isolated BO<sub>3</sub> groups, are calculated by the first principle method. The calculations show that PbBiBO<sub>4</sub>, Pb<sub>3</sub>BO<sub>4</sub>F, and Pb<sub>2</sub>BO<sub>3</sub>F have the large birefringence, greater than 0.1. Pb<sub>2</sub>BO<sub>3</sub>F, especially, is the first compound with large birefringence above 0.08 among positive uniaxial borate crystals. It is found that the parallel arrangement of fundamental building units is not the only light anisotropy active character. In the further research of Pb<sub>2</sub>BO<sub>3</sub>F, polarization disproportionation via a visualized model is first put forward for identifying the origin of large birefringence, which will be helpful to search for new optical materials with suitable birefringence

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