Emission mechanism for the silicon He-α lines in a photoionization experiment

Bo Han; Feilu Wang; David Salzmann; Jiayong Zhong; Gang Zhao

doi:doi:10.1017/hpl.2020.49

High Power Laser Science and Engineering, 2021, 9 (1): 010000e9, Published Online: Mar. 4, 2021

Emission mechanism for the silicon He-α lines in a photoionization experiment Download： 728次

Bo Han ^1,2Feilu Wang ^3,4,5,*David Salzmann ³Jiayong Zhong ^1,6Gang Zhao ^3,4

Author Affiliations

¹ Department of Astronomy, Beijing Normal University, Beijing100875, China

² College of Physics and Electronic Engineering, Qilu Normal University, Jinan250200, China

³ CAS Key Laboratory of Optical Astronomy, National Astronomical Observatories, Chinese Academy of Sciences, Beijing100101, China

⁴ School of Astronomy and Space Science, University of Chinese Academy of Sciences, Beijing101408, China

⁵ Graduate School of China Academy of Engineering Physics, Beijing100196, China

⁶ Collaborative Innovation Center of IFSA (CICIFSA), Shanghai Jiao Tong University, Shanghai200240, China

Figures & Tables

Fig. 1. Black line: the experimental spectrum of Fujioka et al.^[¹³^]. Blue line: the theoretical result of an optically thin model. f, Li, i and r denote the position of the forbidden line, satellite lines, the intercombination line and the resonance line, respectively.

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Fig. 2. Comparison of the collisional excitation cross-section with the results of Refs. [26–29]. The transitions include 1s2s ³S 1s2p ¹P₁, 1s2s ³S 1s2s ¹S₁, 1s2p ³P 1s2p ¹P₁ and 1s2s ¹S 1s2p ¹P₁ of He-like Si.

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Fig. 3. Contributions of atomic processes under the conditions of the Fujioka et al. photoionization experiment for five selected levels. The atomic processes are listed on the x-axis. The blue processes are related to the radiation field, the dark-gray processes are controlled by collisions and the green processes are autoionization and dielectronic capture. Solid black lines represent the populating contributions for the levels, and the red dashed lines represent the depopulating contributions for the levels. The contribution friction of each process is also labeled.

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Fig. 4. Evolution of fractions of charge states from C-like ion to bare nuclei in the time-dependent model with a Gaussian radiation pulse (red line). The radiation pulse is adapted as a Gaussian distribution with FWHM of 160 ps and =80 ps^[¹³^,¹⁶^,²⁰^].

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Fig. 5. Evolution of process contributions to 1s2p ¹P₁. Upper panel: populating contributions. Lower panel: depopulating contributions. The radiation pulse is also plotted.

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Fig. 6. Black line: the experimental spectrum of Fujioka et al.^[¹³^]. Green line: theoretical spectrum of time-dependent model. Red line: theoretical spectrum of optically thick model.

13]. Green line: theoretical spectrum of time-dependent model. Red line: theoretical spectrum of optically thick model." class="imgSplash img-thumbnail" style="cursor:pointer;">

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Table1. Transition energies and Einstein A coefficients of some intense silicon lines between 1820 eV and 1865 eV. The resonance, intercombination and forbidden lines are marked as , and , respectively.

Ion	Transition				This study		Palmeri et al.
	Upper		Lower		Energy (eV)	A (s⁻¹)	Energy (eV)	A (s⁻¹)
He-like	$\rm 1s2p$	${}^1{\rm P}_1$	$\rm 1{s}^2$	$\rm {}^1{S}_0$	1864.8115 ($R/w$)	3.87×10¹³	1864.979804	4.07×10¹³
Li-like	$\rm 1s2p(1P)3d$	$\rm {}^2{F}_{5/2}$	$\rm 1{s}^23d$	$\rm {}^2{D}_{3/2}$	1863.774295	2.50×10¹³
Li-like	$\rm 1s2p(1P)3d$	$\rm {}^2{F}_{7/2}$	$\rm 1{s}^23d$	$\rm {}^2{D}_{5/2}$	1863.326131	2.90×10¹³
Li-like	$\rm 1s2p(1P)3d$	$\rm {}^2{D}_{5/2}$	$\rm 1{s}^23d$	$\rm {}^2{D}_{5/2}$	1861.843125	3.14×10¹³
Li-like	$\rm 1s2p(1P)3d$	$\rm {}^2{D}_{3/2}$	$\rm 1{s}^23d$	$\rm {}^2{D}_{3/2}$	1861.815167	3.29×10¹³
Li-like	$\rm 1s2p(1P)3s$	$\rm {}^2{P}_{1/2}$	$\rm 1{s}^23s$	$\rm {}^2{S}_{1/2}$	1861.284114	2.73×10¹³
Li-like	$\rm 1s2p(1P)3s$	$\rm {}^2{P}_{3/2}$	$\rm 1{s}^23s$	$\rm {}^2{S}_{1/2}$	1861.116476	1.54×10¹³
Li-like	$\rm 1s2p(1P)3p$	$\rm {}^2{P}_{3/2}$	$\rm 1{s}^23p$	$\rm {}^2{P}_{3/2}$	1860.781291	3.24×10¹³
Li-like	$\rm 1s2p(1P)3p$	$\rm {}^2{D}_{3/2}$	$\rm 1{s}^23p$	$\rm {}^2{P}_{1/2}$	1860.641666	2.88×10¹³
Li-like	$\rm 1s2p(1P)3p$	$\rm {}^2{P}_{1/2}$	$\rm 1{s}^23p$	$\rm {}^2{P}_{1/2}$	1860.641666	2.59×10¹³
Li-like	$\rm 1s2p(1P)3p$	$\rm {}^2{D}_{5/2}$	$\rm 1{s}^23p$	$\rm {}^2{P}_{3/2}$	1860.334565	2.88×10¹³
Li-like	$\rm 1s(2S)2{p}^2$	$\rm {}^2{S}_{1/2}$	$\rm 1{s}^23p$	$\rm {}^2{P}_{3/2}$	1856.073555	1.21×10¹³	1856.712852	1.27×10¹³
Li-like	$\rm 1s(2S)2s2p(1P)$	$\rm {}^2{P}_{3/2}$	$\rm 1{s}^22s$	$\rm {}^2{S}_{1/2}$	1854.047395	7.36×10¹²	1854.546585	2.82×10¹²
Li-like	$\rm 1s(2S)2s2p(1P)$	$\rm {}^2{P}_{1/2}$	$\rm 1{s}^22s$	$\rm {}^2{S}_{1/2}$	1853.881058	4.89×10¹²	1854.213762	4.96×10¹²
He-like	$\rm 1s2p$	$\rm {}^3{P}_1$	$\rm 1{s}^2$	$\rm {}^1{S}_0$	1853.8562 ($I/x$)	3.77×10⁷
He-like	$\rm 1s2p$	$\rm {}^3{P}_2$	$\rm 1{s}^2$	$\rm {}^1{S}_0$	1852.9801 ($I/y$)	1.36×10¹¹
Li-like	$\rm 1s(2S)2s2p(3P)$	$\rm {}^2{P}_{3/2}$	$\rm 1{s}^22s$	$\rm {}^2{S}_{1/2}$	1844.805711	3.26×10¹³	1845.657041	3.50×10¹³
Li-like	$\rm 1s(2S)2s2p(3P)$	$\rm {}^2{P}_{1/2}$	$\rm 1{s}^22s$	$\rm {}^2{S}_{1/2}$	1844.229449	3.06×10¹³	1845.107706	3.29×10¹³
Li-like	$\rm 1s(2S)2{p}^2(3P)$	$\rm {}^2{P}_{1/2}$	$\rm 1{s}^22p$	$\rm {}^2{P}_{3/2}$	1842.858845	4.67×10¹³	1842.448061	1.76×10¹³
Li-like	$\rm 1s(2S)2{p}^2(1D)$	$\rm {}^2{D}_{5/2}$	$\rm 1{s}^22p$	$\rm {}^2{P}_{1/2}$	1840.232989	1.81×10¹³	1840.478845	1.85×10¹³
Li-like	$\rm 1s(2S)2{p}^2(1D)$	$\rm {}^2{D}_{3/2}$	$\rm 1{s}^22p$	$\rm {}^2{P}_{3/2}$	1839.113808	1.75×10¹³	1839.577694	1.82×10¹³
He-like	$\rm 1s2s$	$\rm {}^3{S}_1$	$\rm 1{s}^2$	$\rm {}^1{S}_0$	1838.2023 ($F/z$)	3.27×10⁵
Be-like	$\rm 1s2{p}^3$	$\rm {}^1{P}_1$	$\rm 1{s}^22{p}^2$	$\rm {}^1{D}_2$	1831.236355	2.61×10¹³	1831.128172	2.81×10¹³
Be-like	$\rm 1s2{s}^22p$	$\rm {}^1{P}_1$	$\rm 1{s}^22{s}^2$	$\rm {}^1{S}_0$	1828.346862	3.21×10¹³	1828.185104	3.48×10¹³
Be-like	$\rm 1s(2S)2s2{p}^2(2S)$	$\rm {}^1{S}_0$	$\rm 1{s}^22s2p$	$\rm {}^1{P}_1$	1827.107451	1.79×10¹³	1827.996423	1.64×10¹³
Be-like	$\rm 1s(2S)2s2{p}^2(2P)$	$\rm {}^1{P}_1$	$\rm 1{s}^22s2p$	$\rm {}^1{P}_1$	1827.107451	4.91×10¹³	1827.484485	5.32×10¹³
Be-like	$\rm 1s(2S)2s2{p}^2(4P)$	$\rm {}^3{P}_2$	$\rm 1{s}^22{p}^2$	$\rm {}^3{P}_2$	1823.640658	4.65×10¹³	1823.426096	4.25×10¹³
Be-like	$\rm 1s(2S)2s2{p}^2(2D)$	$\rm {}^3{D}_2$	$\rm 1{s}^22 ssp$	$\rm {}^3{P}_1$	1823.587013	2.40×10¹³	1823.077541	2.18×10¹³
Be-like	$\rm 1s(2S)2s2{p}^2(2D)$	$\rm {}^3{D}_1$	$\rm 1{s}^22 ssp$	$\rm {}^3{P}_0$	1823.533371	2.28×10¹³	1823.318834	2.53×10¹³

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Bo Han, Feilu Wang, David Salzmann, Jiayong Zhong, Gang Zhao. Emission mechanism for the silicon He-α lines in a photoionization experiment[J]. High Power Laser Science and Engineering, 2021, 9(1): 010000e9.

Emission mechanism for the silicon He-α lines in a photoionization experiment Download： 728次

Fig. 1. Black line: the experimental spectrum of Fujioka et al.^[¹³^]. Blue line: the theoretical result of an optically thin model. f, Li, i and r denote the position of the forbidden line, satellite lines, the intercombination line and the resonance line, respectively.

Fig. 2. Comparison of the collisional excitation cross-section with the results of Refs. [26–29]. The transitions include 1s2s ³S 1s2p ¹P₁, 1s2s ³S 1s2s ¹S₁, 1s2p ³P 1s2p ¹P₁ and 1s2s ¹S 1s2p ¹P₁ of He-like Si.

Fig. 4. Evolution of fractions of charge states from C-like ion to bare nuclei in the time-dependent model with a Gaussian radiation pulse (red line). The radiation pulse is adapted as a Gaussian distribution with FWHM of 160 ps and =80 ps^[¹³^,¹⁶^,²⁰^].

Fig. 5. Evolution of process contributions to 1s2p ¹P₁. Upper panel: populating contributions. Lower panel: depopulating contributions. The radiation pulse is also plotted.

Fig. 6. Black line: the experimental spectrum of Fujioka et al.^[¹³^]. Green line: theoretical spectrum of time-dependent model. Red line: theoretical spectrum of optically thick model.

Table1. Transition energies and Einstein A coefficients of some intense silicon lines between 1820 eV and 1865 eV. The resonance, intercombination and forbidden lines are marked as , and , respectively.

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Emission mechanism for the silicon He-α lines in a photoionization experiment Download： 728次

Fig. 1. Black line: the experimental spectrum of Fujioka et al.[13]. Blue line: the theoretical result of an optically thin model. f, Li, i and r denote the position of the forbidden line, satellite lines, the intercombination line and the resonance line, respectively.

Fig. 2. Comparison of the collisional excitation cross-section with the results of Refs. [26–29]. The transitions include 1s2s 3S 1s2p 1P1, 1s2s 3S 1s2s 1S1, 1s2p 3P 1s2p 1P1 and 1s2s 1S 1s2p 1P1 of He-like Si.

Fig. 4. Evolution of fractions of charge states from C-like ion to bare nuclei in the time-dependent model with a Gaussian radiation pulse (red line). The radiation pulse is adapted as a Gaussian distribution with FWHM of 160 ps and =80 ps[13,16,20].

Fig. 5. Evolution of process contributions to 1s2p 1P1. Upper panel: populating contributions. Lower panel: depopulating contributions. The radiation pulse is also plotted.

Fig. 6. Black line: the experimental spectrum of Fujioka et al.[13]. Green line: theoretical spectrum of time-dependent model. Red line: theoretical spectrum of optically thick model.

Table1. Transition energies and Einstein A coefficients of some intense silicon lines between 1820 eV and 1865 eV. The resonance, intercombination and forbidden lines are marked as , and , respectively.

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Fig. 1. Black line: the experimental spectrum of Fujioka et al.^[¹³^]. Blue line: the theoretical result of an optically thin model. f, Li, i and r denote the position of the forbidden line, satellite lines, the intercombination line and the resonance line, respectively.

Fig. 2. Comparison of the collisional excitation cross-section with the results of Refs. [26–29]. The transitions include 1s2s ³S 1s2p ¹P₁, 1s2s ³S 1s2s ¹S₁, 1s2p ³P 1s2p ¹P₁ and 1s2s ¹S 1s2p ¹P₁ of He-like Si.

Fig. 4. Evolution of fractions of charge states from C-like ion to bare nuclei in the time-dependent model with a Gaussian radiation pulse (red line). The radiation pulse is adapted as a Gaussian distribution with FWHM of 160 ps and =80 ps^[¹³^,¹⁶^,²⁰^].

Fig. 5. Evolution of process contributions to 1s2p ¹P₁. Upper panel: populating contributions. Lower panel: depopulating contributions. The radiation pulse is also plotted.

Fig. 6. Black line: the experimental spectrum of Fujioka et al.^[¹³^]. Green line: theoretical spectrum of time-dependent model. Red line: theoretical spectrum of optically thick model.