Xe、Gd、Dy和Au激光等离子体的双电子复合过程研究
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摘要
双电子复合(dielectronic recombination，DR)是一个重要的电子—离子碰撞过程，在中高温(0.1keV～10kev)和低密度(n_e＜10~(18)cm~(-3))的天体和实验室等离子体中，它对建立和维持电离平衡及离子的激发态分布起着主要作用，因此对其光谱和双电子复合的研究是当前原子分子物理学科的前沿，在惯性约束聚变、X光激光和等离子体的诊断等领域有广阔的应用背景，尤其是用伴线强度比进行等离子体电子温度的诊断具有很好的实用性。本文在SOSA模型下，用自编的双电子复合速率系数程序(涉及到的Slater积分由Cowan程序包得出)，系统地计算了Ni-like、Cu-like、Zn-like的Xe、Gd、Dy、Au激光等离子体的总双电子复合速率系数及态—态的双电子复合速率系数随电子温度的变化，并给出了相关的自电离系数A~a、辐射衰减系数A~r、电离势E和双电子伴线强度比；分析了影响双电子复合的主要因素，A~a、A~r随主量子数、旁观电子的变化规律及双电子伴线强度比随电子温度的变化。以上工作在目前尚未见相关文献报导，因此，本文的研究内容不仅填补了高Z元素的原子数据，而且对等离子体温度的诊断有一定的理论意义。
同时，在SOSA模型下，计算了双电子复合过程中的相关跃迁子阵的光谱特征参数(波长、半宽度、阵的相对强度)，结合实验，以Au为例，具体分析了金的M带谱的特性、3d-5f跃迁的光谱特性、考虑双电子复合后的3d-4f跃迁的光谱特性、子阵的相对强度比与电子温度的关系，这为光谱的诊断提供了
四川大学博士学位论文
更多的理论数据；为适应识谱的需要，在非局域热动平衡则On－LTE）下，先用类
氢近似，计算得出电子密度分另为11－＊1．oxl020cm－3、60xl02’cm－3、14义10ilo ＊－3
10X1022Cm”3和 17X102、m”3的条件下的三体复合、辐射复合、双电子复合系数
随电子温度的变化，得出总的复合系数随电子温度的变化；结合相关的电离系
数得出相应的离子占有数的比，最后，计算出一定电子密度和温度条件下，金
等离子体的Co一like、Ni－like、Cu一like、Zn自like、GUlike的离子丰度，从而得至
金等离子体在不同电子密度和温度条件下的平均荷态分配数，这填写了国内在
非局域热动平衡仰on－LTE）下，计算金等离子体不同电子密度和温度条件下离子
丰度和平均荷态分配数的空白。
The dielectronic recombination (DR) is a main process in the course of electron-ion collision. At moderate (high) electron temperature and low (moderate) -electron density, it is dominant in keeping the balance of ionization and population of upper configuration ions. The paper gives the results of the total DR coefficients of Ni-like, Cu-like, Zn-like in the laser produced plasmas for (Xe,Gd,Dy,Au) and the DR rate coefficients of state-to-state with the change of electron temperature , as well as the relative auto-ionization rate coefficients Aa, radiative decay rate coefficients Ar, potential of ionization , intensity ratio of dielctronic satellite in the model (spin-orbit -split Array, SOSA). We analyze the main factor which effect DR coefficients with the. change of electron temperature and the rule which Ar and Aa change with the principal quantum numbers and spectator electrons. They are useful paramaters in the research of high-Z materials of laser- produced plasmas.
At the same time, we calculate the charactical paramaters (Wave-length, FWHM, intensity of array) of the transition sub-array which is included in the process of dielectronic recombination. For example Au plasmas, M-band spectum, intensity of sub-ayyay, 3d-4f and 3d-5f transitions array of Au are analyzed comparing with experiment. These may provide a great number of atomic structure paramaters. For the necessary of obersving spectrum, the three-body recombination,
radiative recombination and dielectronic recombination coefficients are calculated in some range of electron density(ne=1.0x1020cm-3,6.0xl020cm-3,1.4xl021cm-3, 1.0xl022cm-3andl.7xl022cm-3) with the change of electron temperature in the ( non-local-thermodynamic-equilibrium,Non-LTE) model at the condition of H-like approximation. The total recombination coefficients are calculated with the change of electron temperature. Making use of the ratio of the relavant population of ionization stage, the fractional population of ionization stage is calculated with the change of electron temperature. At last, the charge -state distribution for gold (Au) plasmas at some electron temperature and some electron density is calculated. It is very important for diagnosing the plasmas of Au in the laboratory.
同时，在SOSA模型下，计算了双电子复合过程中的相关跃迁子阵的光谱特征参数(波长、半宽度、阵的相对强度)，结合实验，以Au为例，具体分析了金的M带谱的特性、3d-5f跃迁的光谱特性、考虑双电子复合后的3d-4f跃迁的光谱特性、子阵的相对强度比与电子温度的关系，这为光谱的诊断提供了
四川大学博士学位论文
更多的理论数据；为适应识谱的需要，在非局域热动平衡则On－LTE）下，先用类
氢近似，计算得出电子密度分另为11－＊1．oxl020cm－3、60xl02’cm－3、14义10ilo ＊－3
10X1022Cm”3和 17X102、m”3的条件下的三体复合、辐射复合、双电子复合系数
随电子温度的变化，得出总的复合系数随电子温度的变化；结合相关的电离系
数得出相应的离子占有数的比，最后，计算出一定电子密度和温度条件下，金
等离子体的Co一like、Ni－like、Cu一like、Zn自like、GUlike的离子丰度，从而得至
金等离子体在不同电子密度和温度条件下的平均荷态分配数，这填写了国内在
非局域热动平衡仰on－LTE）下，计算金等离子体不同电子密度和温度条件下离子
丰度和平均荷态分配数的空白。
The dielectronic recombination (DR) is a main process in the course of electron-ion collision. At moderate (high) electron temperature and low (moderate) -electron density, it is dominant in keeping the balance of ionization and population of upper configuration ions. The paper gives the results of the total DR coefficients of Ni-like, Cu-like, Zn-like in the laser produced plasmas for (Xe,Gd,Dy,Au) and the DR rate coefficients of state-to-state with the change of electron temperature , as well as the relative auto-ionization rate coefficients Aa, radiative decay rate coefficients Ar, potential of ionization , intensity ratio of dielctronic satellite in the model (spin-orbit -split Array, SOSA). We analyze the main factor which effect DR coefficients with the. change of electron temperature and the rule which Ar and Aa change with the principal quantum numbers and spectator electrons. They are useful paramaters in the research of high-Z materials of laser- produced plasmas.
At the same time, we calculate the charactical paramaters (Wave-length, FWHM, intensity of array) of the transition sub-array which is included in the process of dielectronic recombination. For example Au plasmas, M-band spectum, intensity of sub-ayyay, 3d-4f and 3d-5f transitions array of Au are analyzed comparing with experiment. These may provide a great number of atomic structure paramaters. For the necessary of obersving spectrum, the three-body recombination,
radiative recombination and dielectronic recombination coefficients are calculated in some range of electron density(ne=1.0x1020cm-3,6.0xl020cm-3,1.4xl021cm-3, 1.0xl022cm-3andl.7xl022cm-3) with the change of electron temperature in the ( non-local-thermodynamic-equilibrium,Non-LTE) model at the condition of H-like approximation. The total recombination coefficients are calculated with the change of electron temperature. Making use of the ratio of the relavant population of ionization stage, the fractional population of ionization stage is calculated with the change of electron temperature. At last, the charge -state distribution for gold (Au) plasmas at some electron temperature and some electron density is calculated. It is very important for diagnosing the plasmas of Au in the laboratory.
引文
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[58]刘小红，程新路，焦荣珍等，金等离子体M带谱的理论计算，强激光与离子束，1998，10(3)：437～441
[59]王红斌，金M带光谱实验研究，四川大学硕士学位论文，1998
[60]刘小红，金等离子体M带谱的理论计算，四川大学硕士学位论文，1998
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[1] 焦荣珍，程新路，杨向东等，类镍镝的双电子复合速率系数研究，《物理学 报》，2002，8月发表(SCI收录源刊)
[2] 焦荣珍，程新路，孟川民等，类镍金的双电子复合速率系数，《强激光与粒 子束》，2000，12(4) ：416~418(EI收录源刊)
[3] 焦荣珍，程新路，杨向东等，类镍钆的双电子复合速率系数，《强激光与粒 子束》，2001，13(5) ：646-648(EI收录源刊)
[4] 焦荣珍，程新路，李小红等，SOSA模型下高剥离态的自电离系数，四川大 学学报，(工程科学版)，2001，33：116-118
[5] 李小红，程新路，焦荣珍等，用变分法对hellmann势本征态的研究，四川大 学学报，(自然科学版)，2001，38：518～521
[2] Burkhalter P.G,Dozier C.M ,Nagel D.J,Phys.ReV.1977,A15． 700-717
[3] Kiyokawa S,Yabe T,Miganaga N.et.al,Phys ReV Lett ,1985,54:1999-2002
[4] Drawin H.W and Katsonis K,Phys Scr.1981,23: 2-4
[5] Massey H.S.W and Bates D.R ,Rep.Prog.Phys,1942,9:62-65
[6] Burgess A..Astrophysics,1964,139:776-801 and Astrophysics; 1965,141:1589-1594
[7] Shor B.,Astrophysics,1969,158:1205-1210
[8] Burgess A.,and Summers H.P .Astrophysics ,1969． 157:1007-1009
[9] Martins Pde A.P and Seaton M.J ,J.Phys.1969,B2: 333-336
[10] Blaha M.,Astrophysics Lett,1972,10: 179-183
[11] Dubau J and Wells J.,J.Phys,1973,86:1452-1455
[12] Parkinson J.H ,Solar Phys,1975,42:183-187
[13] Presongkov ,Sov.Phys,1976,19:387-392
[14] Boilo V.A ,Ya.Faenov A and Pikuz S.A.,JQSRT,1978,19:11-18
[15] Dupree A.R,Astrophysics Lett ,1968． 1:125-134
[16] Gabriel A.H.and Paget T.M..J.Phys,1972,85:673-676
[17] Bhallq C.P .Gabriel A.H and Presongakov L.P,Mon.NotR.Astr.Soc,1975,172:359
[18] Ansan S.M.R and AlamB.,Solar Physics,1975,41:97-104
[19] Seaton M.J and Storey P.J.,Atomic Processes and Applications,1976,133-146
[20] Roszman L.J.,Phys.ReV,1987,A35:2138~2141
[21] Bauche-Arnoult C.and Bauche J,Loc-Koenig E.Wyart J.F,dielectronic recombination process in laser produced tantalm plasmas,Phys ReV ,1989,A39:1053-1065
[22] Hageistein P.LJ.Phys,1987,820:5785-5790
[23] Zhao L.,Han G.and Li S.High-power Laser and Particle Beams,1995,7:373~382
[24] Zhao L.and Li S..Chinese J.At.Mol.Phys,1996,13:17-19
[25] Hua-guo.Teng,Baitei Sheng,Wen qi Zhang and Zhizhan Xu ,Phys.Scripta,49:463
[26] Hua-guo.Teng and Zhizhan Xu,Phys.Scripta,1996,56:443
[27] Dittner P.F et.al,Phys ReV ,1987,A35:3668
[28] Ander L.H et.al,Phys ReV,1991,A45:6332
[29] Harr R.R et.al,Phys.ReV 1994,D30:291
[30] Schennach S.et.al,J.Phys ,B26: L139
[31 ]Behar E.,Mandelbaum P.and Schwob J.L.,Bar-Shalom A.and Oreg J.,Goldstein W.H, Dielectronic recombination of Ni-like ions through the 3d941n'l'(n'=4,5) Cu-like configrations,Phys.ReV ,1995,A52:3770~3779
[32] Moszkowski S.A.Prog.Theory Phys.1962,28:1
[33] Bauche-Arnoult C.and Bauche J,et.al,J.Opt.Soc.Am.,1978,68:1136
[34] Bauche-Amoult C.and Bauche J,et.al ,Phys.ReV,1985,A31:2248
[35] Luc-Koenig E.Fonctions d'onde atomiques relativistes dans Papproximation cu champ centra,Physica (Utrecht),1972,62:393-408
[36] Klapisch M,Schwob J-L,Fraenkel B S.et al.J Opt Soc Am,1977,67:148-155
[37] Grant I P,McKenzie B J.Norrington P H,et al.Computer Physics Communications .1980, 21:207-231
[38] 雷安乐，周裕清，张保汉等，类镍离子(HfXLV-ReXLVIII)能级和振子强度的理论计 算。强激光与粒子束，1996，8(1) ：57~60
[39] Cowan R D,Theory of Atomic structure and spectra (University of California Press, Berkeley),1981
[40] Mau Hsiung Chen,Phys ReV,1986,34: 1073-1078
[41] Zhao Libo,Han Guoxing and Li Shichang,强激光与粒子束,1995,7(3) : 373-380
[42] Mandelbaum P.Mitnik D.Behar E,J Quant Spectrv Radiat.Transf ,1995,54(1) :261~269
[43] Robicheaux F,Pindzola M S and Griffin D C,Phys ReV lett.1998,80(7) : 1402-1405
[44] Bauche-Amoult C and Bauche,et al Phys ReV,1985,A31: 2248
[45] Bates D.R,Kingston A.E,Proc.R.Soc.1962 ,A267,297
[46] Kunce J.A,J.Quant.Spectrosc.Radiat.Transf.1984,32: 311
[47] Landshoff R.K and Perz J.D,Phys ReV 1976,A13: 1619
[48] Lotz W,Phys.216:241
[49] Seaton M.J,In Atomic and Molecular Processes,edited by Bates D.R (Academic press, New York,1962) P375
[50] Mcwhirter R.W.P,In plasma Diagnostic Techniques,edited by Huddlestone R.H and Leonard S.L (Academic press,New York,1965)
[51]Griem H, Plasma Spectroscopy (Mc Graw-Hill, New York 1964)P161
[52]Doron R, Behar E, Mandelbaum P, Schwob J. L,Journal of Quantitative Spectroscopy & Radiative Transfer, 2001,71:305～315
[53]Kato T,Yamamoto N, More R, Fujimoto T, Collisional radiative model including dielectronic states, Journal of Quantitative Spectroscopy & Radiative Transfer, 2001,71: 431～444
[54]Behar E, Mandelbaum P, Schwob J. L, et al. Dielectronic recombination rate coefficients for highly ionized Ni-like atoms,Phys ReV,1996, A54:3070～3077
[55]焦荣珍，程新路，孟川民等，类镍金的双电子复合速率系数，《强激光与粒子束》，2000，12(4)：416～418
[56]焦荣珍，程新路，杨向东等，类镍镝的双电子复合速率系数研究，物理学报，2002，8月发表
[57]焦荣珍，程新路，杨向东等，类镍钆的双电子复合速率系数，强激光与粒子束，2001，13(5)：646～448
[58]刘小红，程新路，焦荣珍等，金等离子体M带谱的理论计算，强激光与离子束，1998，10(3)：437～441
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[60]刘小红，金等离子体M带谱的理论计算，四川大学硕士学位论文，1998
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[2] 焦荣珍，程新路，孟川民等，类镍金的双电子复合速率系数，《强激光与粒 子束》，2000，12(4) ：416~418(EI收录源刊)
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[4] 焦荣珍，程新路，李小红等，SOSA模型下高剥离态的自电离系数，四川大 学学报，(工程科学版)，2001，33：116-118
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