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    Journals >Acta Physica Sinica >Volume 68 >Issue 2 >Page 023102-1 > Article
    • Acta Physica Sinica
    • Vol. 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
    • show less
    DOI: 10.7498/aps.68.20181915 Cite this Article
    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 Copy Citation Text show less
    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
    Fig. 1. 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
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    Plasma energy shifts against parameter u.等离子能级偏移与参数u之间的关系
    Fig. 2. Plasma energy shifts against parameter u. 等离子能级偏移与参数u之间的关系
    Download full size | View in the Article
    Module of radial wave functions for inner and outer shell electron.内外壳层电子径向波函数模方
    Fig. 3. Module of radial wave functions for inner and outer shell electron.内外壳层电子径向波函数模方
    Download full size | View in the Article
    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 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.)

    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 2.

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

    Ar16+ 1sns, 1snp和2s2p组态变分参数

    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 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}\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 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}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 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}${\alpha _{2{\rm{p}}}}$\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 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}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 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}${\alpha _{2{\rm{s}}}}$\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
    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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    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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