Experimental and calculated odd-parity energy levels in Pr IV

<b>Table 4.</b> Experimental and calculated odd-parity energy levels in Pr IV. <strong>Abstract</strong> Transition probabilities and oscillator strengths for electric dipole radiation in triply ionized praseodymium are reported for the first time in this paper. They were computed using a semi-empirical relativistic Hartree–Fock approach including core-polarization effects. Due to the lack of experimental data in the Pr IV spectrum, the accuracy of our results is estimated and discussed on the basis of comparisons between calculations performed with a similar physical model and laboratory measurements previously published for the isoelectronic ion Ce²⁺. In view of their great interest in optical materials and nanophotonics, radiative rates for forbidden lines within the 4f² ground-state configuration of Pr³⁺ were also calculated in our work.

表4。四价镨离子（Pr IV）的实验与计算奇宇称能级。**摘要** 本文首次报道了三价镨离子（Pr³+）的电偶极辐射跃迁概率与振子强度。本次计算采用包含核心极化效应的半经验相对论Hartree–Fock（哈特利-福克）方法。鉴于Pr IV光谱的实验数据较为匮乏，本文通过将本研究采用的物理模型与此前针对等电子离子Ce²+（二价铈离子）发表的实验室测量结果进行对比，对本次计算结果的精度进行了评估与讨论。此外，考虑到Pr³+的4f²基态组态内的禁戒跃迁谱线在光学材料与纳米光子学领域具备重要应用价值，本文还计算了该类禁戒跃迁的辐射速率。