Photoionization and Electron-Ion Recombination of n = 1 to Very High n-Values of Hydrogenic Ions
Abstract
:1. Introduction
1.1. Existing Values for Photoionization Cross Sections
1.2. Existing Values for Electron-Ion Recombination of Hydrogenic Ions
2. Theory of Photoionization and Electron-Ion Recombination of Hydrogenic Ions
2.1. Photoionization of Hydrogenic Ions
2.1.1. Recurrence Relations for the g Bound-Free Transition Integral
2.1.2. Ground State Photoionization Cross Sections of Hydrogen
2.2. Electron-Ion Recombination of Hydrogenic Ions
2.2.1. Top-Up Contribution from Very High-n Recombination
2.2.2. Recombination with Respect to Photoelectron Energy
2.3. Relation between Hydrogen and Hydrogenic Ions
2.4. Relativistic Fine Structure Splitting of and from LS Coupling
3. Programs for Photoionization and Electron-Ion Recombination, and the Data Files
4. Results and Discussions
4.1. Photoionization Cross Sections
4.2. Electron-Ion Recombination
5. Conclusions
- Study of the two inverse processes of photoionization and electron-ion recombination are presented with a brief review of theory that treat them precisely and more accurately compared to all existing atomic structure codes that use other approximation, mainly distorted wave approximation.
- Detailed features of both the processes are illustrated. Although hydrogen and hydrogenic ions do not have any resonant features, accurate characteristic variation with energy and temperature are crucial for precise astrophysical spectroscopy and modeling.
- The present work provides atomic data files containing for all l-levels of n from 1 to 800, and of all values of n from 1 to 800. It also provides total with temperature, and total , and total with photoelectron energy. This is the first time that all these data with very high n have been made available for applications.
- Use of precise theory, numerical methods, high precision computers, as explained at the end of the sections of photoionization, and electron-ion recombination, can predict the accuracy of the present results is within 5% for most energy and temperature ranges.
- The work provides the FORTRAN program “hpxrrc.f” which can generate all these values. It also computes l-level specific . The program “hpxrrc.f” can also compute for any hydrogenic ion of charge Z using the data of hydrogen.
- Importance of relativistic effects and how to obtain fine structure components for photoionization and electron-ion from their values in the present LS coupling approximation have been discussed.
- All atomic data and the program will be available online at database, NORAD-Atomic-Data ([24], http://norad.astronomy.ohio-state.edu (accessed on 1 September 2007)).
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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logT | logT | logT | |||
---|---|---|---|---|---|
−3.00 | 4.779 | 0.73 | 4.974 | 4.60 | 1.479 |
−2.67 | 3.254 | 0.75 | 4.842 | 4.70 | 1.232 |
−2.33 | 2.214 | 0.77 | 4.714 | 4.80 | 1.022 |
−2.00 | 1.504 | 0.79 | 4.588 | 4.90 | 8.447 |
−1.67 | 1.020 | 0.81 | 4.466 | 5.00 | 6.949 |
−1.33 | 6.877 | 0.83 | 4.347 | 5.10 | 5.691 |
−1.00 | 4.606 | 0.85 | 4.231 | 5.20 | 4.637 |
−0.67 | 3.057 | 0.87 | 4.118 | 5.30 | 3.755 |
−0.33 | 2.009 | 0.89 | 4.008 | 5.40 | 3.027 |
0.00 | 1.308 | 0.91 | 3.901 | 5.50 | 2.424 |
0.01 | 1.291 | 1.00 | 3.452 | 5.60 | 1.930 |
0.03 | 1.258 | 1.10 | 3.012 | 5.70 | 1.528 |
0.05 | 1.226 | 1.20 | 2.627 | 5.80 | 1.202 |
0.07 | 1.194 | 1.30 | 2.290 | 5.90 | 9.396 |
0.09 | 1.163 | 1.40 | 1.995 | 6.00 | 7.303 |
0.11 | 1.133 | 1.50 | 1.737 | 6.10 | 5.643 |
0.13 | 1.104 | 1.60 | 1.511 | 6.20 | 4.333 |
0.15 | 1.075 | 1.70 | 1.314 | 6.30 | 3.311 |
0.17 | 1.048 | 1.80 | 1.142 | 6.40 | 2.516 |
0.19 | 1.020 | 1.90 | 9.922 | 6.50 | 1.902 |
0.21 | 9.939 | 2.00 | 8.613 | 6.60 | 1.431 |
0.23 | 9.680 | 2.10 | 7.471 | 6.70 | 1.071 |
0.25 | 9.429 | 2.20 | 6.476 | 6.80 | 7.989 |
0.27 | 9.183 | 2.30 | 5.609 | 6.90 | 5.932 |
0.29 | 8.944 | 2.40 | 4.855 | 7.00 | 4.389 |
0.31 | 8.711 | 2.50 | 4.199 | 7.10 | 3.232 |
0.33 | 8.484 | 2.60 | 3.628 | 7.20 | 2.374 |
0.35 | 8.262 | 2.70 | 3.132 | 7.30 | 1.739 |
0.37 | 8.046 | 2.80 | 2.702 | 7.40 | 1.270 |
0.39 | 7.835 | 2.90 | 2.328 | 7.50 | 9.251 |
0.41 | 7.630 | 3.00 | 2.004 | 7.60 | 6.718 |
0.43 | 7.430 | 3.10 | 1.723 | 7.70 | 4.866 |
0.45 | 7.235 | 3.20 | 1.480 | 7.80 | 3.518 |
0.47 | 7.045 | 3.30 | 1.269 | 7.90 | 2.538 |
0.49 | 6.860 | 3.40 | 1.087 | 8.00 | 1.828 |
0.51 | 6.680 | 3.50 | 9.304 | 8.10 | 1.315 |
0.53 | 6.504 | 3.60 | 7.949 | 8.20 | 9.440 |
0.55 | 6.332 | 3.70 | 6.781 | 8.30 | 6.769 |
0.57 | 6.165 | 3.80 | 5.774 | 8.40 | 4.848 |
0.59 | 6.003 | 3.90 | 4.909 | 8.50 | 3.468 |
0.61 | 5.844 | 4.00 | 4.165 | 8.60 | 2.478 |
0.61 | 5.844 | 4.00 | 4.165 | 8.60 | 2.478 |
0.63 | 5.690 | 4.10 | 3.527 | 8.70 | 1.769 |
0.65 | 5.539 | 4.20 | 2.980 | 8.80 | 1.262 |
0.67 | 5.392 | 4.30 | 2.511 | 8.90 | 8.997 |
0.69 | 5.249 | 4.40 | 2.111 | 9.00 | 6.409 |
0.71 | 5.110 | 4.50 | 1.770 |
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Nahar, S.N. Photoionization and Electron-Ion Recombination of n = 1 to Very High n-Values of Hydrogenic Ions. Atoms 2021, 9, 73. https://doi.org/10.3390/atoms9040073
Nahar SN. Photoionization and Electron-Ion Recombination of n = 1 to Very High n-Values of Hydrogenic Ions. Atoms. 2021; 9(4):73. https://doi.org/10.3390/atoms9040073
Chicago/Turabian StyleNahar, Sultana N. 2021. "Photoionization and Electron-Ion Recombination of n = 1 to Very High n-Values of Hydrogenic Ions" Atoms 9, no. 4: 73. https://doi.org/10.3390/atoms9040073