Abstract The spectra of the luminescence and magnetic circular polarization of luminescence (MCPL) in the praseodymium yttrium garnet aluminate Pr3+:YAG (PrYAG) have been studied within the visible spectral range at temperature T = 300 K. Analysis of the spectral dependences of the magnetooptical and optical spectra has made it possible to identify the optical 4f → 4f transitions occurring between the Stark sublevels of the 3P0, 3P1 and 3H5, 3H6 multiplets in PrYAG. It has been shown that for this paramagnetic garnet in the MCPL degree spectrum for the “green” luminescence band associated with forbidden 4f→ 4f transitions 3P0 → 3H5 within the visible spectral range, a significant role is being played by the effect of quantum mechanical J - J “mixing” of the energy states of Stark singlets of the 3H5 and 3H6 multiplets of the non-Kramers rare-earth (RE) Pr3+ ion. A parameterized Hamiltonian defined to operate within the entire 4 f(2) ground electronic configuration of Pr3+ was used to model the experimental Stark levels, their irreducible representations (irreps.) and wavefunctions. Nine independent CF parameters, B q k , were optimized using standard least-squares fitting between calculated and experimental levels. The final fitting standard deviation between 61 calculated-to-experimental levels is 17.86 cm–1.

中文翻译：

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j-j“混合”机制对镨钇铝石榴石PrYAG光学和磁光性能影响的研究

摘要 镨钇石榴石铝酸盐 Pr3+:YAG (PrYAG) 的发光光谱和磁性圆偏振光 (MCPL) 已在可见光谱范围内进行了研究，温度 T = 300 K。磁光光谱依赖性分析光谱使得识别 PrYAG 中 3P0、3P1 和 3H5、3H6 多重态的 Stark 子能级之间发生的光学 4f → 4f 跃迁成为可能。已经表明，对于这种顺磁性石榴石在 MCPL 度光谱中与可见光谱范围内的 4f→4f 跃迁 3P0→3H5 相关的“绿色”发光带，非克莱默稀土 (RE) Pr3+ 离子的 3H5 和 3H6 多重峰的 Stark 单线态的量子力学 J-J“混合”的能量状态正在发挥重要作用。定义为在 Pr3+ 的整个 4 f(2) 地面电子配置内运行的参数化哈密顿量用于模拟实验斯塔克能级、它们的不可约表示 (irreps.) 和波函数。九个独立的 CF 参数 B qk 使用计算和实验水平之间的标准最小二乘拟合进行了优化。61 个计算到实验水平之间的最终拟合标准偏差为 17.86 cm–1。它们的不可约表示 (irreps.) 和波函数。九个独立的 CF 参数 B qk 使用计算和实验水平之间的标准最小二乘拟合进行了优化。61 个计算到实验水平之间的最终拟合标准偏差为 17.86 cm–1。它们的不可约表示 (irreps.) 和波函数。九个独立的 CF 参数 B qk 使用计算和实验水平之间的标准最小二乘拟合进行了优化。61 个计算到实验水平之间的最终拟合标准偏差为 17.86 cm–1。