dorsal/arxiv
View SchemaAlternative Mathematical Technique to Determine LS Spectral Terms
| Authors | Renjun Xu, Zhenwen Dai |
|---|---|
| Categories | |
| ArXiv ID | physics/0510267 |
| URL | https://arxiv.org/abs/physics/0510267 |
| DOI | 10.1088/0953-4075/39/16/007 |
| Journal | 2006 J. Phys. B: At. Mol. Opt. Phys. 39 3221 |
Abstract
We presented an alternative computational method for determining the permitted LS spectral terms arising from $l^N$ electronic configurations. This method makes the direct calculation of LS terms possible. Using only basic algebra, we derived our theory from LS-coupling scheme and Pauli exclusion principle. As an application, we have performed the most complete set of calculations to date of the spectral terms arising from $l^N$ electronic configurations, and the representative results were shown. As another application on deducing LS-coupling rules, for two equivalent electrons, we deduced the famous Even Rule; for three equivalent electrons, we derived a new simple rule.
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"abstract": "We presented an alternative computational method for determining the\npermitted LS spectral terms arising from $l^N$ electronic configurations. This\nmethod makes the direct calculation of LS terms possible. Using only basic\nalgebra, we derived our theory from LS-coupling scheme and Pauli exclusion\nprinciple. As an application, we have performed the most complete set of\ncalculations to date of the spectral terms arising from $l^N$ electronic\nconfigurations, and the representative results were shown. As another\napplication on deducing LS-coupling rules, for two equivalent electrons, we\ndeduced the famous Even Rule; for three equivalent electrons, we derived a new\nsimple rule.",
"arxiv_id": "physics/0510267",
"authors": [
"Renjun Xu",
"Zhenwen Dai"
],
"categories": [
"physics.atom-ph",
"physics.comp-ph"
],
"doi": "10.1088/0953-4075/39/16/007",
"journal_ref": "2006 J. Phys. B: At. Mol. Opt. Phys. 39 3221",
"title": "Alternative Mathematical Technique to Determine LS Spectral Terms",
"url": "https://arxiv.org/abs/physics/0510267"
},
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