Adopted radial parameters (in cm⁻¹) for even-parity configurations of Pr IV

<b>Table 1.</b> Adopted radial parameters (in cm⁻¹) for even-parity configurations of 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1. 四价镨（Pr IV）偶宇称组态（even-parity configurations）所采用的径向参数（radial parameters），单位为cm⁻¹。
摘要：本文首次报道了三价镨（Pr³+）电偶极辐射（electric dipole radiation）的跃迁概率（transition probabilities）与振子强度（oscillator strengths），计算采用了包含芯极化效应（core-polarization effects）的半经验相对论Hartree–Fock方法。鉴于目前尚无Pr IV光谱的实验数据，本文通过对比采用相似物理模型的计算结果与此前已发表的等电子离子（isoelectronic ion）二价铈（Ce²+）的实验室测量数据，对本研究结果的精度进行了评估与讨论。考虑到其在光学材料与纳米光子学（nanophotonics）领域的重要应用价值，本文还计算了Pr³+的4f²基态组态（ground-state configuration）内禁戒谱线（forbidden lines）的辐射速率（radiative rates）。

搜集汇总

背景与挑战

背景概述

该数据集首次报告了三价镨离子（Pr IV）偶宇称构型的径向参数，单位为cm⁻¹，采用半经验相对论性Hartree-Fock方法计算跃迁概率和振子强度，并包含核心极化效应。由于缺乏实验数据，研究通过与其他离子（如等电子离子Ce2+）的测量结果进行比较来评估准确性，同时计算了基态构型的禁戒跃迁辐射速率，这些结果在光学材料和纳米光子学领域具有重要应用价值。