The electronic structure and optical property of Ba₂Mg(PO₄)₂:Eu²⁺ under different pressures are calculated based on density functional theory. The energy band of Ba₂Mg(PO₄)₂ generates impurity band and the transition probability increases through doping the Eu²⁺. The results show the lattice parameters decrease with the pressure increase, and the band gap increases with the pressure increase. The density of states Ba₂Mg(PO₄)₂:Eu²⁺ is dependent on the pressure, and the absorption spectra appear to have increasing blue shift as pressure increases. The Ba₂Mg(PO₄)₂:Eu²⁺ has potential application for pressure sensors.

中文翻译：

---

Ba ₂ Mg(PO ₄ ) ₂ :Eu ^{2+ 的压力}相关电子结构和光学性质

基于密度泛函理论计算了Ba ₂ Mg(PO ₄ ) ₂ :Eu ²⁺在不同压力下的电子结构和光学性质。Ba ₂ Mg(PO ₄ ) ₂的能带产生杂质带，通过掺杂Eu ²⁺提高跃迁概率。结果表明，晶格参数随着压力的增加而减小，带隙随着压力的增加而增加。Ba ₂ Mg(PO ₄ ) ₂ :Eu ²⁺态密度取决于压力，并且随着压力的增加，吸收光谱似乎有增加的蓝移。Ba ₂ Mg(PO ₄ ) ₂ :Eu ²⁺具有用于压力传感器的潜在应用。