Acta Physica Sinica, Volume. 68, Issue 2, 023102-1(2019)

Influence of plasma shielding effect on ground state and excited state energies of Ar16+

Kun Ma1、*, Zhan-Bin Chen2, and Shi-Zhong Huang3
Author Affiliations
  • 1School of Information Engineering, Huangshan University, Huangshan 245041, China
  • 2School of Science, Hunan University of Technology, Zhuzhou 412007, China
  • 3College of Physics and Electrical Information, Anhui Normal University, Wuhu 241000, China
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    Figures & Tables(11)
    Relativistic corrections against parameter u for 1s21S, 1s2s 1,3S, 1s2p 1,3P and 2s2p 1P of Ar16+.A16+ 1s21S, 1s2s 1,3S, 1s2p 1,3P和2s2p 1P 的相对论修正能量随参数u的变化
    Plasma energy shifts against parameter u.等离子能级偏移与参数u之间的关系
    Module of radial wave functions for inner and outer shell electron.内外壳层电子径向波函数模方
    • Table 1.

      Effects of relativistic correction on ground state 1s21S energies level in C4+ (unit: a.u.).

      相对论修正对C4+基态1s21S能级的影响(单位: a.u.)

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      Table 1.

      Effects of relativistic correction on ground state 1s21S energies level in C4+ (unit: a.u.).

      相对论修正对C4+基态1s21S能级的影响(单位: a.u.)

      u\begin{document}${\alpha _{1{\rm{s}}}}$\end{document}ENREMCED1ΔERSETRef.[20] Ref.[25,26]
      05.6875−32.3477−0.06965080.0587822−0.01087−32.35857−32.4176−32.3612
      0.15.68614−31.1633−0.06958430.0587401−0.01084−31.17414−31.2324−31.177
      0.25.68218−30.0095−0.06939050.0586174−0.01077−30.02027−30.079−30.0237
      0.35.67577−28.8854−0.06907810.0584193−0.01066−28.89606−28.9557
      0.45.66706−27.7899−0.06865490.0581507−0.01050−27.80040−27.8614
      0.55.65616−26.7223−0.06812820.0578158−0.01031−26.73261−26.7963−26.7395
      0.65.64318−25.6817−0.0675050.0574187−0.01009−25.69179−25.7576
      0.75.62821−24.6674−0.06679160.0569630−0.00983−24.67723−24.7457
      0.85.61134−23.6788−0.06599420.0564522−0.00954−23.68834−23.7006−23.7594
      0.95.59263−22.7151−0.06511860.0558895−0.00923−22.72433−22.7986
      1.05.57215−21.7758−0.06417010.0552778−0.00889−21.78469−21.8629
    • Table 2.

      Variation parameters of 1sns, 1snp and 2snp configurations in Ar16+.

      Ar16+ 1sns, 1snp和2s2p组态变分参数

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      Table 2.

      Variation parameters of 1sns, 1snp and 2snp configurations in Ar16+.

      Ar16+ 1sns, 1snp和2s2p组态变分参数

      2S+1n1sns2S+1S 1snp 2S+1P 2snp 2S+1P
      \begin{document}${\alpha _{1{\rm{s}}}}$\end{document}\begin{document}${\alpha _{n{\rm{s}}}}$\end{document}ENR\begin{document}${\alpha _{1{\rm{s}}}}$\end{document}\begin{document}${\alpha _{n{\rm{p}}}}$\end{document}ENR\begin{document}${\alpha _{2{\rm{s}}}}$\end{document}\begin{document}${\alpha _{n{\rm{p}}}}$\end{document}ENR
      1117.6875−312.848
      217.932417.3433−198.38418.010716.9176−197.96917.411317.8229−77.601
      317.981517.2194−178.1418.000816.9725−178.01817.942817.2934−56.8575
      417.992417.1623−171.06818.000116.9852−171.01717.976617.2143−49.655
      517.996117.129−167.7991816.9901−167.77317.988217.1692−46.3425
      3218.013717.1931−199.19617.957717.266−198.504
      318.003117.1286−178.35517.9917.1509−178.162
      418.001217.0962−171.15517.996117.1079−171.076
      518.000617.0768−167.84317.998117.0845−167.803
    • Table 3.

      Relativistic correction on ground state 1s21S energies level in Ar16+ (unit: a.u.).

      Ar16+基态1s21S相对论性能量(单位: a.u.)

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      Table 3.

      Relativistic correction on ground state 1s21S energies level in Ar16+ (unit: a.u.).

      Ar16+基态1s21S相对论性能量(单位: a.u.)

      u\begin{document}${\alpha _{1{\rm{s}}}}$\end{document}ENREMCED1ΔERSET
      017.6875−312.848−6.514885.30399−1.21089−314.05889
      0.117.6871−309.263−6.514255.30360−1.21065−310.47365
      0.217.6858−305.708−6.512385.30246−1.20992−306.91792
      0.317.6837−302.184−6.509295.30057−1.20872−303.39272
      0.417.6808−298.688−6.505015.29796−1.20705−299.89505
      0.517.6771−295.222−6.499575.29463−1.20494−296.42694
      0.617.6726−291.785−6.492995.29061−1.20238−292.98738
      0.717.6674−288.377−6.485305.28591−1.19939−289.57639
      0.817.6614−284.997−6.476525.28055−1.19597−286.19297
      0.917.6547−281.645−6.466685.27453−1.19215−282.83715
      1.017.6473−278.32−6.455805.26787−1.18793−279.50793
    • Table 4.

      Relativistic correction on excited state 1s2s 1S energies level in Ar16+ (unit: a.u.).

      Ar16+激发态1s2s 1S相对论性能量(单位: a.u.)

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      Table 4.

      Relativistic correction on excited state 1s2s 1S energies level in Ar16+ (unit: a.u.).

      Ar16+激发态1s2s 1S相对论性能量(单位: a.u.)

      u\begin{document}${\alpha _{1{\rm{s}}}}$\end{document}\begin{document}${\alpha _{2{\rm{s}}}}$\end{document}ENREMCED1ED2ESSCΔERSET
      017.932417.3433−198.384−3.930943.07620−7.249983 × 10−31.450003 × 10−2−0.84749−199.23149
      0.117.931917.3364−194.822−3.929823.07562−7.245793 × 10−31.44916 × 10−2−0.84695−195.66895
      0.217.930617.3164−191.335−3.926573.07394−7.233613 × 10−31.44672 × 10−2−0.84540−192.18040
      0.317.928517.284−187.921−3.921303.07121−7.213953 × 10−31.44279 × 10−2−0.84288−188.76388
      0.417.925617.2401−184.577−3.914153.06749−7.187233 × 10−31.43745 × 10−2−0.83947−185.41647
      0.517.921817.1852−181.301−3.905223.06284−7.153833 × 10−31.43077 × 10−2−0.83523−182.13623
      0.617.917317.1198−178.092−3.894623.05729−7.114063 × 10−31.42281 × 10−2−0.83022−178.92222
      0.717.91217.0445−174.947−3.882453.05090−7.068203 × 10−31.41364 × 10−2−0.82448−175.77148
      0.817.90616.9594−171.866−3.868803.04371−7.016463 × 10−31.40329 × 10−2−0.81807−172.68407
      0.917.899216.865−168.847−3.853773.03575−6.959053 × 10−31.39181 × 10−2−0.81106−169.65806
      1.017.891816.7615−165.889−3.837453.02706−6.896133 × 10−31.37923 × 10−2−0.80349−166.69249
    • Table 5.

      Relativistic correction on excited state 1s2s 3S energies level in Ar16+ (unit: a.u.).

      Ar16+激发态1s2s 3S相对论性能量(单位: a.u.)

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      Table 5.

      Relativistic correction on excited state 1s2s 3S energies level in Ar16+ (unit: a.u.).

      Ar16+激发态1s2s 3S相对论性能量(单位: a.u.)

      u\begin{document}${\alpha _{1{\rm{s}}}}$\end{document}\begin{document}${\alpha _{2{\rm{s}}}}$\end{document}ENREMCED1ΔERSET
      018.013717.1931−199.196−3.977033.10590−0.87113−200.06713
      0.118.013317.1858−195.635−3.975943.10534−0.87060−196.50560
      0.218.012217.1646−192.149−3.972763.10370−0.86906−193.01806
      0.318.010417.1305−188.735−3.967613.10104−0.86657−189.60157
      0.418.007817.0841−185.392−3.960623.09742−0.86320−186.25520
      0.518.004617.0263−182.119−3.951893.09289−0.85900−182.97800
      0.618.000616.9574−178.912−3.941523.08748−0.85404−179.76604
      0.717.99616.878−175.77−3.929623.08124−0.84838−176.61838
      0.817.990716.7885−172.692−3.916273.07421−0.84206−173.53406
      0.917.984716.6891−169.676−3.901563.06643−0.83513−170.51113
      1.017.978116.5803−166.721−3.885573.05792−0.82765−167.54865
    • Table 6.

      Relativistic correction on excited state 1s2p 1P energies level in Ar16+ (unit: a.u.).

      Ar16+激发态1s2p 1P相对论性能量(单位: a.u.)

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      Table 6.

      Relativistic correction on excited state 1s2p 1P energies level in Ar16+ (unit: a.u.).

      Ar16+激发态1s2p 1P相对论性能量(单位: a.u.)

      u\begin{document}${\alpha _{1{\rm{s}}}}$\end{document}\begin{document}${\alpha _{2{\rm{p}}}}$\end{document}ENREMCED1ED2ESSCEOOΔERSET
      018.010716.9176−197.969−3.581672.80005−2.073823 × 10−34.147643 × 10−3−0.0064010−0.78595−198.75495
      0.118.010316.9115−194.403−3.581232.79986−2.071283 × 10−34.142563 × 10−3−6.394563 × 10−3−0.78569−195.18869
      0.218.009116.8936−190.903−3.579942.79929−2.063883 × 10−34.127763 × 10−3−6.375753 × 10−3−0.78496−191.68796
      0.318.00716.8646−187.467−3.577822.79834−2.051933 × 10−34.103873 × 10−3−6.345353 × 10−3−0.78377−188.25077
      0.418.004216.8251−184.094−3.574902.79703−2.035733 × 10−34.071453 × 10−3−6.304033 × 10−3−0.78214−184.87614
      0.518.000716.7755−180.783−3.571212.79536−2.015513 × 10−34.031023 × 10−3−6.252373 × 10−3−0.78009−181.56309
      0.617.996316.7162−177.532−3.566772.79335−1.991533 × 10−33.983063 × 10−3−6.190923 × 10−3−0.77762−178.30962
      0.717.991316.6477−174.339−3.561612.79099−1.963993 × 10−33.927983 × 10−3−6.120133 × 10−3−0.77478−175.11378
      0.817.985516.57−171.203−3.555742.78830−1.933093 × 10−33.866193 × 10−3−6.040453 × 10−3−0.77155−171.97455
      0.917.97916.4835−168.124−3.549192.78527−1.899033 × 10−33.798063 × 10−3−5.952253 × 10−3−0.76797−168.89197
      1.017.971816.3883−165.101−3.541982.78193−1.861983 × 10−33.723953 × 10−3−5.855883 × 10−3−0.76404−165.86504
    • Table 7.

      Relativistic correction on excited state 1s2p 3P energies level in Ar16+ (unit: a.u.).

      Ar16+基态1s2p 3P相对论性能量(单位: a.u.)

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      Table 7.

      Relativistic correction on excited state 1s2p 3P energies level in Ar16+ (unit: a.u.).

      Ar16+基态1s2p 3P相对论性能量(单位: a.u.)

      u\begin{document}${\alpha _{1{\rm{s}}}}$\end{document}\begin{document}${\alpha _{2{\rm{p}}}}$\end{document}ENREMCED1EOOΔERSET
      017.957717.266−198.504−3.547362.775396.7643 × 10−3−0.76521−199.26921
      0.117.957317.26−194.937−3.546942.775226.75783 × 10−3−0.76496−195.70196
      0.217.956217.2424−191.436−3.545712.774696.738923 × 10−3−0.76428−192.20028
      0.317.954317.2138−187.998−3.543692.773816.70833 × 10−3−0.76317−188.76117
      0.417.951717.1749−184.622−3.540912.772606.66673 × 10−3−0.76164−185.38364
      0.517.948317.1261−181.306−3.537392.771066.61473 × 10−3−0.75972−182.06572
      0.617.944317.0678−178.05−3.533152.769196.55273 × 10−3−0.75741−178.80741
      0.717.939617.0002−174.852−3.528222.767006.48123 × 10−3−0.75474−175.60674
      0.817.934216.9237−171.71−3.522622.764506.40083 × 10−3−0.75172−172.46172
      0.917.928116.8384−168.624−3.5163702.761706.31163 × 10−3−0.74836−169.37236
      1.017.921416.7445−165.593−3.5094902.758596.21423 × 10−3−0.74469−166.33769
    • Table 8.

      Relativistic correction on excited state 2s2p 1P energies level in Ar16+ (unit: a.u.).

      Ar16+基态2s2p 1P相对论性能量(单位: a.u.)

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      Table 8.

      Relativistic correction on excited state 2s2p 1P energies level in Ar16+ (unit: a.u.).

      Ar16+基态2s2p 1P相对论性能量(单位: a.u.)

      u\begin{document}${\alpha _{2{\rm{s}}}}$\end{document}\begin{document}${\alpha _{2{\rm{p}}}}$\end{document}ENREMCED1ED2ESSCEOOΔERSET
      017.411317.8229−77.6010−0.594990.31621−8.39310 × 10−41.67862 × 10−3−0.0006009−0.27854−77.87954
      0.117.404317.8174−74.0566−0.594060.31583−8.38360 × 10−41.67672 × 10−3−6.00393 × 10−4−0.27800−74.33460
      0.217.383917.8014−70.6207−0.591390.31472−8.35602 × 10−41.67120 × 10−3−5.98927 × 10−4−0.27644−70.89714
      0.317.35117.7755−67.2898−0.587110.31294−8.31163 × 10−41.66233 × 10−3−5.96551 × 10−4−0.27393−67.56373
      0.417.306417.7402−64.0605−0.581320.31053−8.25157 × 10−41.65031 × 10−3−5.93313 × 10−4−0.27055−64.33105
      0.517.250817.6959−60.9298−0.574150.30754−8.17686 × 10−41.63537 × 10−3−5.89259 × 10−4−0.26637−61.19617
      0.617.184517.6429−57.8948−0.565690.30401−8.08845 × 10−41.61769 × 10−3−5.84432 × 10−4−0.26146−58.15626
      0.717.108117.5816−54.9531−0.556060.29998−7.98720 × 10−41.59744 × 10−3−5.78871 × 10−4−0.25586−55.20896
      0.817.021917.5122−52.1022−0.545340.29546−7.87391 × 10−41.57478 × 10−3−5.72611 × 10−4−0.24966−52.35186
      0.916.926217.4349−49.3398−0.533610.29051−7.74933 × 10−41.54987 × 10−3−5.65688 × 10−4−0.24289−49.58269
      1.016.821317.3499−46.6639−0.520980.28514−7.61414 × 10−41.52283 × 10−3−5.58134 × 10−4−0.23563−46.89953
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    Kun Ma, Zhan-Bin Chen, Shi-Zhong Huang. Influence of plasma shielding effect on ground state and excited state energies of Ar16+[J]. Acta Physica Sinica, 2019, 68(2): 023102-1

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    Paper Information

    Category: Research Articles

    Received: Oct. 27, 2018

    Accepted: --

    Published Online: Sep. 29, 2019

    The Author Email:

    DOI:10.7498/aps.68.20181915

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