Semi-empirical cross-section formulas for electron-impact ionization and rate coefficient calculations
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arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| author | Benredjem, Djamel Pain, Jean-Christophe |
| author_facet | Benredjem, Djamel Pain, Jean-Christophe |
| contents | We propose a semi-empirical formula for the cross section of ionization by electron impact. The formula involves adjustable parameters which are determined by comparison with measured or numerically calculated cross sections. In the latter case, the ions are perturbed by their environment which is a high-density plasma. As a consequence, the cross section is significantly modified. We investigate Be-like carbon, nitrogen and oxygen as well as aluminum ions. We also show that the formula is well-suited for interpolation and extrapolation. Knowing the cross section, we calculate the rate coefficient within the Boltzmann and Fermi-Dirac statistics. In the first case, the rate can be calculated analytically. In the second one, it can be expressed in terms of special functions, but the numerical evaluation is more convenient while providing accurate results. Our results are compared to experiment and to other calculations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_04968 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Semi-empirical cross-section formulas for electron-impact ionization and rate coefficient calculations Benredjem, Djamel Pain, Jean-Christophe Atomic Physics Plasma Physics We propose a semi-empirical formula for the cross section of ionization by electron impact. The formula involves adjustable parameters which are determined by comparison with measured or numerically calculated cross sections. In the latter case, the ions are perturbed by their environment which is a high-density plasma. As a consequence, the cross section is significantly modified. We investigate Be-like carbon, nitrogen and oxygen as well as aluminum ions. We also show that the formula is well-suited for interpolation and extrapolation. Knowing the cross section, we calculate the rate coefficient within the Boltzmann and Fermi-Dirac statistics. In the first case, the rate can be calculated analytically. In the second one, it can be expressed in terms of special functions, but the numerical evaluation is more convenient while providing accurate results. Our results are compared to experiment and to other calculations. |
| title | Semi-empirical cross-section formulas for electron-impact ionization and rate coefficient calculations |
| topic | Atomic Physics Plasma Physics |
| url | https://arxiv.org/abs/2404.04968 |