Relativistic B-Spline R-Matrix Calculations for Electron Scattering from Thallium Atoms
Abstract
:1. Introduction
2. Computational Method
3. Results and Discussion
3.1. Energy Levels and Oscillator Strengths
3.2. Differentical Cross-Sections
No. | State | Term | J | NIST [25] | This Work | Difference |
---|---|---|---|---|---|---|
1 | 6s26p | 2P° | 1/2 | 0.00000 | 0.00000 | 0.00000 |
2 | 6s26p | 2P° | 3/2 | 0.96617 | 0.93535 | −0.03082 |
3 | 6s27s | 2S | 1/2 | 3.28279 | 3.35298 | 0.07019 |
4 | 6s27p | 2P° | 1/2 | 4.23529 | 4.26149 | 0.02620 |
5 | 6s27p | 2P° | 3/2 | 4.35942 | 4.30594 | −0.05348 |
6 | 6s26d | 2D | 3/2 | 4.47805 | 4.47796 | −0.00009 |
7 | 6s26d | 2D | 5/2 | 4.48822 | 4.48293 | −0.00529 |
8 | 6s28s | 2S | 1/2 | 4.80388 | 4.81059 | 0.00671 |
9 | 6s28p | 2P° | 1/2 | 5.12899 | 5.12293 | −0.00606 |
10 | 6s28p | 2P° | 3/2 | 5.1752 | 5.15013 | −0.02507 |
11 | 6s27d | 2D | 3/2 | 5.20875 | 5.18402 | −0.02473 |
12 | 6s27d | 2D | 5/2 | 5.21341 | 5.17956 | −0.03385 |
13 | 6s25f | 2F° | 5/2 | 5.24681 | 5.22070 | −0.02611 |
14 | 6s25f | 2F° | 7/2 | 5.24681 | 5.22151 | −0.02530 |
15 | 6s29s | 2S | 1/2 | 5.35193 | 5.34096 | −0.01097 |
16 | 6s29p | 2P° | 1/2 | 5.50253 | 5.48915 | −0.01338 |
17 | 6s29p | 2P° | 3/2 | 5.52505 | 5.50476 | −0.02029 |
18 | 6s28d | 2D | 3/2 | 5.5387 | 5.51819 | −0.02051 |
19 | 6s28d | 2D | 5/2 | 5.54119 | 5.51857 | −0.02262 |
20 | 6s26f | 2F° | 5/2 | 5.55741 | 5.53341 | −0.02400 |
21 | 6s26f | 2F° | 7/2 | 5.55741 | 5.53366 | −0.02375 |
22 | 6s6p2 | 4P | 1/2 | 5.607 | 5.32811 | −0.27889 |
23 | 6s210s | 2S | 1/2 | 5.61609 | 5.61945 | 0.00336 |
24 | 6s210p | 2P° | 1/2 | 5.69575 | 5.74420 | 0.04845 |
25 | 6s210p | 2P° | 3/2 | 5.70868 | 5.76181 | 0.05313 |
26 | 6s29d | 2D | 3/2 | 5.71549 | 5.75791 | 0.04242 |
27 | 6s29d | 2D | 5/2 | 5.71695 | 5.75781 | 0.04086 |
28 | 6s27f | 2F° | 5/2 | 5.72625 | 5.75303 | 0.02678 |
29 | 6s27f | 2F° | 7/2 | 5.72625 | 5.75313 | 0.02688 |
30 | 6s210d | 2D | 3/2 | 5.82105 | 6.05811 | 0.23706 |
31 | 6s210d | 2D | 5/2 | 5.82205 | 6.06582 | 0.24377 |
32 | 6s28f | 2F° | 5/2 | 5.82783 | 6.03291 | 0.20508 |
33 | 6s28f | 2F° | 7/2 | 5.82783 | 6.03290 | 0.20507 |
Lower | Upper | This Work | ||||
---|---|---|---|---|---|---|
Level | Level | NIST [25] | ODRT [26] | BFT [27] | V | L |
6s26p1/2 | 6s26d3/2 | 0.29 | 0.29 ± 0.022 | 0.34 | 0.2271 | 0.3307 |
6s27s1/2 | 0.134 | 0.133 ± 0.007 | 0.13 | 0.1276 | 0.1399 | |
6s27d3/2 | 0.075 | 0.074 ± 0.009 | 0.09 | 0.0555 | 0.0814 | |
6s28s1/2 | 0.018 | 0.0176 ± 0.0016 | 0.0169 | 0.0199 | ||
6s28d3/2 | 0.028 ± 0.004 | 0.0237 | 0.0331 | |||
6s29s1/2 | 0.0062 ± 0.0008 | 0.0050 | 0.0050 | |||
6s26p3/2 | 6s26d3/2 | 0.0411 | 0.04 ± 0.004 | 0.0349 | 0.0499 | |
6s26d5/2 | 0.346 | 0.346 ± 0.035 | 0.37 | 0.3100 | 0.4273 | |
6s27s1/2 | 0.151 | 0.151 ± 0.007 | 0.14 | 0.1295 | 0.1870 | |
6s27d3/2 | 0.0091 ± 0.0009 | 0.0079 | 0.0109 | |||
6s27d5/2 | 0.08 | 0.081 ± 0.009 | 0.08 | 0.0619 | 0.0858 | |
6s28s1/2 | 0.0135 | 0.0136 ± 0.0014 | 0.0118 | 0.0172 | ||
6s28d3/2 | 0.004 ± 0.0004 | 0.0031 | 0.0043 | |||
6s28d5/2 | 0.028 ± 0.003 | 0.03 | 0.0233 | 0.0316 | ||
6s29s1/2 | 0.0048 ± 0.0005 | 0.0027 | 0.0043 | |||
6s29d3/2 | 0.002 ± 0.0002 | 0.0025 | 0.0035 | |||
6s210s1/2 | 0.003 ± 0.0003 | 0.0023 | 0.0035 |
3.3. Spin Asymmetries
4. Conclusions
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
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Wang, Y.; Du, H.-L.; Zhu, X.-M.; Zatsarinny, O.; Bartschat, K. Relativistic B-Spline R-Matrix Calculations for Electron Scattering from Thallium Atoms. Atoms 2021, 9, 94. https://doi.org/10.3390/atoms9040094
Wang Y, Du H-L, Zhu X-M, Zatsarinny O, Bartschat K. Relativistic B-Spline R-Matrix Calculations for Electron Scattering from Thallium Atoms. Atoms. 2021; 9(4):94. https://doi.org/10.3390/atoms9040094
Chicago/Turabian StyleWang, Yang, Hai-Liang Du, Xi-Ming Zhu, Oleg Zatsarinny, and Klaus Bartschat. 2021. "Relativistic B-Spline R-Matrix Calculations for Electron Scattering from Thallium Atoms" Atoms 9, no. 4: 94. https://doi.org/10.3390/atoms9040094
APA StyleWang, Y., Du, H. -L., Zhu, X. -M., Zatsarinny, O., & Bartschat, K. (2021). Relativistic B-Spline R-Matrix Calculations for Electron Scattering from Thallium Atoms. Atoms, 9(4), 94. https://doi.org/10.3390/atoms9040094