Abstract

Experimental data on the orbital binding energies in each of electron subshells of rare-earth elements from lanthanum to lutetium including the first ionization potentials have been analyzed in detail using a semiclassical method to separate the dependences of binding energies on the atomic number and quantum numbers. The spread of experimental data for the N and O shells of lanthanides has been discussed. The analysis has confirmed the law of similarity of orbital binding energies in the atomic number in individual subshells that differs from Moseley’s law. Deviation from the common dependence usually indicates the inaccuracy of the corresponding measurement. The simplest interpolation of the found relations makes it possible to approximate experimental data with an accuracy of about 1%, to reconstruct missed data, and to correct inaccurate measurement results. The analysis of theoretical results also reveals such relations and their violation is attributed to the violation of the order of filling of 4f states.

中文翻译：

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稀土原子电子壳中的结合能

摘要

已使用半经典方法详细分析了稀土元素从镧到的每个电子子壳中的轨道结合能的实验数据，包括第一电离能，以分离结合能对原子序数和量子数的依赖性。N和O的实验数据的传播已经讨论了镧系元素的壳。分析已经确认了各个子壳中原子序数上的轨道结合能的相似性定律，与莫斯利定律不同。与公共依存关系的偏离通常表示相应度量的不准确性。所发现关系的最简单内插法使得可以近似于约1％的精度的实验数据，重建遗漏的数据以及校正不准确的测量结果。对理论结果的分析也揭示了这种关系，并且它们的违反归因于违反了4 f个状态的填充顺序。