用扩展里兹公式计算 20 < n < 31 时锂离子微观层面的寿命

M. Saeed, Z. Uddin
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引用次数: 0

摘要

如果把锂和类锂元素的两个电子和原子核看作是一个核心,单个电子围绕其运行,那么锂和类锂元素看起来就像氢原子。氢原子的能量和半径表达式可用于锂和类锂元素;一个重要的修改是引入有效主量子数。有效主量子数与氢的主量子数之间存在量子缺陷。量子缺陷在锂和锂离子的不同层次有各自的值。在这项研究中,我们使用扩展的里兹公式计算了计算 ns、nd、nd 和 nf 系列能量所需的量子缺陷。利用这些能量,我们计算出锂离子的跃迁概率和寿命。寿命的计算与已公布的数据非常吻合。这项工作还扩展了现有的寿命列表。为 ns、np、nd 和 nf 系列的每种寿命都生成了一个多项式,与寿命值非常吻合。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Lifetimes of Fine Levels of Li Atom for 20 < n < 31 by Extended Ritz Formula
Lithium and lithium-like elements look like hydrogen atoms if their two electrons and the nucleus are considered a core around which a single electron is orbiting. The energy and radii expressions for hydrogen atoms can be used for lithium and lithium-like elements; an important modification is introducing an effective principal quantum number. The effective principal quantum number differs from the principal quantum number of hydrogen by the quantum defect. Quantum defect has respective values for various levels of lithium and lithium ions. In this study, we used extended Ritz formulas to calculate quantum defects required to calculate energies of ns, np, nd, and nf series. Using these energies, we calculated transition probabilities and then the lifetimes of the lithium levels. The lifetimes were calculated with the published data; an excellent agreement was recorded. The work also extended the available list of lifetimes. Forty lifetimes are new and presented for the first time. a polynomial for each of the ns, np, nd, and nf series lifetimes has been produced that fits well the lifetime values
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