能级跃迁的选择定则可用于判别含稀土离子的发光材料中的光吸收、能量传递和发光及非辐射能量弛豫过程是否发生。本研究中,我们根据跃迁所涉及到的电子组态、稀土离子所处格位的对称性、跃迁所涉及到的多重态及晶格振动情况进行了细致地讨论分析。对于光吸收和发射过程,我们得到了和相关文献报道一致的结果,并对有些结果进行了更细致的解释。对于非辐射弛豫过程,在考虑到对电子的单体作用的电声子耦合或非谐性作用,我们给出了和辐射过程类似的选择定则。对于能量传递过程,我们讨论了电多极-电多极能量传递的选择定则。我们采用获得的选择定则对文献中报道的几例能量传递与发光过程进行了具体的分析。
Selection rules studied here tell whether the processes,such as absorption and emission,nonradiative decay,or energy transfer happen or not.They depend on the approximation adopted.A thorough analysis of these selection rules have been given in this work and the application of these selection rules have been demonstrated through a few examples with experimental data collected from the literature.