Search

Article

x

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

Theoretical calculation of Kα and Kβ X-ray satellite and hypersatellite structures for hollow argon atoms

Ma Kun Jiao Zheng Jiang Feng-Jian Ye Jian-Feng Lv Hai-Jiang Chen Zhan-Bin

Citation:

Theoretical calculation of Kα and Kβ X-ray satellite and hypersatellite structures for hollow argon atoms

Ma Kun, Jiao Zheng, Jiang Feng-Jian, Ye Jian-Feng, Lv Hai-Jiang, Chen Zhan-Bin
PDF
Get Citation

(PLEASE TRANSLATE TO ENGLISH

BY GOOGLE TRANSLATE IF NEEDED.)

  • A systematical knowledge of the satellite and hypersatellite structures of X-ray transitions is of great interest for various research areas, such as the explanation of the X-ray radiation from universe, plasma diagnostics, extreme ultraviolet (EUV) and X-ray sources and so on. Among these researches, the detailed explanation of the complex structures of X-ray satellites and hypersatellites are crucial for understanding the X-ray emission mechanism and the hollow atom formation mechanism. In this paper, the Kα and Kβ X-ray satellite and hypersatellite structure are theoretically studied for hollow argon atoms with the relativistic multiconfiguration Dirac-Fock (MCDF) method, which includes the Breit and quantum electro-dynamics (QED) corrections. To check the applicability of the method, the transition energies and rates of the diagram lines for Ar are calculated,. and the results are in agreement with previously published data. Then the MCDF calculations of the transition energies and probabilities of Kα 1, 2 (K →L3, 2) and Kβ 1, 3 (K → M3, 2) X-ray satellites and hypersatellites, which originate from the argon atoms with additional vacancies in the L shell, are carried out. To obtain the overall profile of the K X-ray spectrum, the diagram lines are integrated with the satellites and hypersatellites on the assumption that the intensity is proportional to the corresponding transition probability and each discrete line has a Gaussian distribution profile with a full width at half maximum (FWHM) value of 20 eV. From the convoluted profile, we can obtain the dependence of the average transition energy and relative transition intensity of the satellites and hypersatellites on the initial hollow configuration. It is found that the transition energy shift increases linearly with the number of spectator vacancies in the L shell increasing. For instance, the energy shift of the Kα satellite caused by L-shell hole is about 20 eV, and that of the Kβ satellite is 48 eV. While for hypersatellite, the energy shift increases greatly due to the double ionization in the K shell. The energy shift increment of Kα and Kβ hypersatellites corresponding to L vacancy are 21 and 52 eV, respectively. Finally, four simple empirical formulae for estimating the energy shifts of the Kα, Kβ X-ray satellites and hypersatellite for Ar atom with any number of L-shells vacancies are deduced by using the least square method. These results are useful in explaining various K X-ray spectra and better understanding the collision process.
      Corresponding author: Ma Kun, makun@hsu.edu.cn
    • Funds: Project supported by the Natural Science Foundation of Anhui Province, China (Grant No. 1808085QA22), the Key Project for Young Talents in College of Anhui Province, China (Grant No. gxyqZD2016301), the Natural Science Foundation of the Higher Education Institutions of Anhui Province, China (Grant No. KJHS2015B01), and the Natural Science Research Project of Huangshan University, China (Grant No. 2016xskq003).
    [1]

    Briand J P, Chevallier P, Tavernier M, Rozet J P 1971 Phys. Rev. Lett. 27 777

    [2]

    Kozio K 2014 J. Quant. Spectrosc. Ra. 149 138

    [3]

    Wang X L, Dong C D, Su M G 2012 Nucl. Instr. Meth. B 280 93

    [4]

    Yerokhin V A, Surzhykov A, Fritzsche S 2014 Phys. Rev. A 90 022509

    [5]

    Steinbrgge R, Bernitt S, Epp S W, Rudolph J K, Beilmann C, Bekker H, Eberle S, Mller A, Versolato O O, Wille H C, Yava H, Ullrich J, Crespo López-Urrutia J R 2015 Phys. Rev. A 91 032502

    [6]

    Czarnota M, Bana D, Berset M, Chmielewska D, Dousse J C, Hoszowska J, Maillard Y P, Mauron O, Pajek M, Polasik M, Raboud P A, Rzadkiewicz J, Słabkowska K, Sujkowski Z 2013 Phys. Rev. A 88 052505

    [7]

    Yuan Y J, Yang J C, Xia J W, et al. 2013 Nucl. Instrum. Methods Phys. Res. Sect. B 317 214

    [8]

    Shao C J, Yu D Y, Cai X H, Chen X, Ma K, Evslin J, Xue Y L, Wang W, Kozhedub Y S, Lu R C, Song Z Y, Zhang M W, Liu J L, Yang B, Guo Y P, Zhang J M, Ruan F F, Wu Y H, Zhang Y Z, Dong C Z, Chen X M, Yang Z H 2017 Phys. Rev. A 96 012708

    [9]

    Chen X, Ma K, Dong C Z, Zhang D H, Shao C J, Yu D Y, Cai X H 2015 Nucl. Instr. Meth. B 362 14

    [10]

    Liang T, Ma K, Chen X, Xie L Y, Dong C Z, Shao C J, Yu D Y, Cai X H 2015 Acta Phys. Sin. 64 153401 (in Chinese)[梁腾, 马堃, 陈曦, 颉录有, 董晨钟, 邵曹杰, 于得洋, 蔡晓红 2015 物理学报 64 153401]

    [11]

    Liang T, Ma K, Wu Z W, Zhang D H, Dong C Z, Shi Y L 2016 Acta Phys. Sin. 65 143401 (in Chinese)[梁腾, 马堃, 武中文, 张登红, 董晨钟, 师应龙 2016 物理学报 65 143401]

    [12]

    Grant I P 1970 Adv. Phys. 19 747

    [13]

    Jönsson P, He X, Fischer C F, Grant I P 2007 Comput. Phys. Commun. 177 597

    [14]

    Fritzsche S 2012 Comput. Phys. Commun. 183 1525

  • [1]

    Briand J P, Chevallier P, Tavernier M, Rozet J P 1971 Phys. Rev. Lett. 27 777

    [2]

    Kozio K 2014 J. Quant. Spectrosc. Ra. 149 138

    [3]

    Wang X L, Dong C D, Su M G 2012 Nucl. Instr. Meth. B 280 93

    [4]

    Yerokhin V A, Surzhykov A, Fritzsche S 2014 Phys. Rev. A 90 022509

    [5]

    Steinbrgge R, Bernitt S, Epp S W, Rudolph J K, Beilmann C, Bekker H, Eberle S, Mller A, Versolato O O, Wille H C, Yava H, Ullrich J, Crespo López-Urrutia J R 2015 Phys. Rev. A 91 032502

    [6]

    Czarnota M, Bana D, Berset M, Chmielewska D, Dousse J C, Hoszowska J, Maillard Y P, Mauron O, Pajek M, Polasik M, Raboud P A, Rzadkiewicz J, Słabkowska K, Sujkowski Z 2013 Phys. Rev. A 88 052505

    [7]

    Yuan Y J, Yang J C, Xia J W, et al. 2013 Nucl. Instrum. Methods Phys. Res. Sect. B 317 214

    [8]

    Shao C J, Yu D Y, Cai X H, Chen X, Ma K, Evslin J, Xue Y L, Wang W, Kozhedub Y S, Lu R C, Song Z Y, Zhang M W, Liu J L, Yang B, Guo Y P, Zhang J M, Ruan F F, Wu Y H, Zhang Y Z, Dong C Z, Chen X M, Yang Z H 2017 Phys. Rev. A 96 012708

    [9]

    Chen X, Ma K, Dong C Z, Zhang D H, Shao C J, Yu D Y, Cai X H 2015 Nucl. Instr. Meth. B 362 14

    [10]

    Liang T, Ma K, Chen X, Xie L Y, Dong C Z, Shao C J, Yu D Y, Cai X H 2015 Acta Phys. Sin. 64 153401 (in Chinese)[梁腾, 马堃, 陈曦, 颉录有, 董晨钟, 邵曹杰, 于得洋, 蔡晓红 2015 物理学报 64 153401]

    [11]

    Liang T, Ma K, Wu Z W, Zhang D H, Dong C Z, Shi Y L 2016 Acta Phys. Sin. 65 143401 (in Chinese)[梁腾, 马堃, 武中文, 张登红, 董晨钟, 师应龙 2016 物理学报 65 143401]

    [12]

    Grant I P 1970 Adv. Phys. 19 747

    [13]

    Jönsson P, He X, Fischer C F, Grant I P 2007 Comput. Phys. Commun. 177 597

    [14]

    Fritzsche S 2012 Comput. Phys. Commun. 183 1525

  • [1] Mei Ce-Xiang, Zhang Xiao-An, Zhou Xian-Ming, Liang Chang-Hui, Zeng Li-Xia, Zhang Yan-Ning, Du Shu-Bin, Guo Yi-Pan, Yang Zhi-Hu. K-X rays induced by helium-like C ions in thick target atoms of different metals. Acta Physica Sinica, 2024, 73(4): 043201. doi: 10.7498/aps.73.20231477
    [2] Zhou Xian-Ming, Wei Jing, Cheng Rui, Liang Chang-Hui, Chen Yan-Hong, Zhao Yong-Tao, Zhang Xiao-An. K-shell X-ray of Al produced by collisions of ions with near Bohr velocities. Acta Physica Sinica, 2023, 72(1): 013402. doi: 10.7498/aps.72.20221628
    [3] Zhou Shao-Tong, Ren Xiao-Dong, Huang Xian-Bin, Xu Qiang. Soft x-ray imaging system used for Z-pinch experiments. Acta Physica Sinica, 2021, 70(4): 045203. doi: 10.7498/aps.70.20200957
    [4] Qiang Peng-Fei, Sheng Li-Zhi, Li Lin-Sen, Yan Yong-Qing, Liu Zhe, Zhou Xiao-Hong. Optical design of X-ray focusing telescope. Acta Physica Sinica, 2019, 68(16): 160702. doi: 10.7498/aps.68.20190709
    [5] Zhang Jin-Shuai, Huang Qiu-Shi, Jiang Li, Qi Run-Ze, Yang Yang, Wang Feng-Li, Zhang Zhong, Wang Zhan-Shan. Stress and structure properties of X-ray W/Si multilayer under low temperature annealing. Acta Physica Sinica, 2016, 65(8): 086101. doi: 10.7498/aps.65.086101
    [6] Zhou Xian-Ming, Zhao Yong-Tao, Cheng Rui, Lei Yu, Wang Yu-Yu, Ren Jie-Ru, Liu Shi-Dong, Mei Ce-Xiang, Chen Xi-Meng, Xiao Guo-Qing. Vanadium K-shell X-ray emission induced by xenon ions at near the Bohr velocity. Acta Physica Sinica, 2016, 65(2): 027901. doi: 10.7498/aps.65.027901
    [7] Liu Xin, Yi Ming-Hao, Guo Jin-Chuan. Line focal X-ray source imaging. Acta Physica Sinica, 2016, 65(21): 219501. doi: 10.7498/aps.65.219501
    [8] Wen Ming-Wu, Yang Xiao-Wei, Wang Zhan-Shan. Simulation of nano-grating patterning based on X-ray Talbot effect. Acta Physica Sinica, 2015, 64(11): 114102. doi: 10.7498/aps.64.114102
    [9] Liang Chang-Hui, Zhang Xiao-An, Li Yao-Zong, Zhao Yong-Tao, Mei Ce-Xiang, Zhou Xian-Ming, Xiao Guo-Qing. Study of X-ray spectrum emitted due to the impact of 129Xeq+ on different ion's charge on Au. Acta Physica Sinica, 2015, 64(5): 053201. doi: 10.7498/aps.64.053201
    [10] Liang Chang-Hui, Zhang Xiao-An, Li Yao-Zong, Zhao Yong-Tao, Xiao Guo-Qing. X-ray spectrum emitted by the impact of 129Xe26+ of the different kinetic energies on Au surface. Acta Physica Sinica, 2014, 63(16): 163201. doi: 10.7498/aps.63.163201
    [11] Zhang Xiao-An, Mei Ce-Xiang, Zhao Yong-Tao, Cheng Rui, Wang Xing, Zhou Xian-Ming, Lei Yu, Sun Yuan-Bo, Xu Ge, Ren Jie-Ru. X-ray emission of C6+ pulsed ion beams of CSR impacting on Au target. Acta Physica Sinica, 2013, 62(17): 173401. doi: 10.7498/aps.62.173401
    [12] Liang Chang-Hui, Zhang Xiao-An, Li Yao-Zong, Zhao Yong-Tao, Mei Ce-Xiang, Cheng Rui, Zhou Xian-Ming, Lei Yu, Wang Xing, Sun Yuan-Bo, Xiao Guo-Qing. X-ray spectrum emitted by the impact of 152Eu20+ of near Bohn velocity on Au surface. Acta Physica Sinica, 2013, 62(6): 063202. doi: 10.7498/aps.62.063202
    [13] Zhang Xiao-An, Li Yao-Zong, Zhao Yong-Tao, Liang Chang-Hui, Cheng Rui, Zhou Xian-Ming, Wang Xing, Lei Yu, Sun Yuan-Bo, Xu Ge, Li Jin-Yu, Xiao Guo-Qing. Thresholds for kinetic and potential energies of Arq+ induced Au target atomic M-X rays emission. Acta Physica Sinica, 2012, 61(11): 113401. doi: 10.7498/aps.61.113401
    [14] Sun Jiang, Liu Peng, Sun Juan, Su Hong-Xin, Wang Ying. Study of the satellite line in measurement of the argon -gas-induced broadening of the barium Rydberg levels by two-photon resonant nondegenerate four-wave mixing. Acta Physica Sinica, 2012, 61(12): 124205. doi: 10.7498/aps.61.124205
    [15] Liang Chang-Hui, Zhang Xiao-An, Li Yao-Zong, Zhao Yong-Tao, Xiao Guo-Qing. X-ray spectrum emitted by the impact of 129Xeq+ on Mo surface. Acta Physica Sinica, 2010, 59(9): 6059-6063. doi: 10.7498/aps.59.6059
    [16] Liu Xin, Lei Yao-Hu, Zhao Zhi-Gang, Guo Jin-Chuan, Niu Han-Ben. Design and fabrication of hard X-ray phase grating. Acta Physica Sinica, 2010, 59(10): 6927-6932. doi: 10.7498/aps.59.6927
    [17] Zhang Xiao-An, Yang Zhi-Hu, Wang Dang-Chao, Mei Ce-Xiang, Niu Chao-Ying, Wang Wei, Dai Bin, Xiao Guo-Qing. Cobalt-like-Xe-induced infrared light and x-ray emission at Ni surface. Acta Physica Sinica, 2009, 58(10): 6920-6925. doi: 10.7498/aps.58.6920
    [18] Chen Bo, Zhu Pei_Ping, Liu Yi-Jin, Wang Jun-Yue, Yuan Qing_Xi, Huang Wan_Xia, Ming Hai, Wu Zi-Yu. Theory and method of X_ray grating phase contrast imaging. Acta Physica Sinica, 2008, 57(3): 1576-1581. doi: 10.7498/aps.57.1576
    [19] Yang Zhi-Hu, Song Zhang-Yong, Chen Xi-Meng, Zhang Xiao-An, Zhang Yan-Ping, Zhao Yong-Tao, Cui Ying, Zhang Hong-Qiang, Xu Xu, Shao Jian-Xiong, Yu De-Yang, Cai Xiao-Hong. X-ray emission produced by interaction of highly ionized Arq+ ions with metallic targets. Acta Physica Sinica, 2006, 55(5): 2221-2227. doi: 10.7498/aps.55.2221
    [20] Zhao Yong-Tao, Xiao Guo-Qing, Zhang Xiao-An, Yang Zhi-Hu, Chen Xi-Meng, Li Fu-Li, Zhang Yan-Ping, Zhang Hong-Qiang, Cui Ying, Shao Jian-Xiong, Xu Xu. The x-ray spectra of hollow atoms. Acta Physica Sinica, 2005, 54(1): 85-88. doi: 10.7498/aps.54.85
Metrics
  • Abstract views:  5330
  • PDF Downloads:  97
  • Cited By: 0
Publishing process
  • Received Date:  28 March 2018
  • Accepted Date:  28 May 2018
  • Published Online:  05 September 2018

/

返回文章
返回